Metrics for Henrywood and Agarwal, Equation (12)

analyze393.0ms (1.8%)

Memory

0.2MiB live, 592.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
12.5%	12.5%	87.3%	0.2%	0%	0%	0%	4
12.5%	12.5%	87.3%	0.2%	0%	0%	0%	5
12.5%	12.5%	87.3%	0.2%	0%	0%	0%	6
15.4%	12.5%	68.6%	0.2%	0%	18.7%	0%	7
16.7%	12.5%	62.3%	0.2%	0%	24.9%	0%	8
20%	14%	56.1%	0.2%	0%	29.6%	0%	9
20%	14%	56.1%	0.2%	0%	29.6%	0%	10
20%	14%	56.1%	0.2%	0%	29.6%	0%	11
22.9%	14.8%	49.9%	0.2%	0%	35.1%	0%	12

Compiler

Compiled 37 to 24 computations (35.1% saved)

sample5.6s (26.1%)

Memory

-43.2MiB live, 8 166.8MiB allocated

Samples

2.7s	13 049×	0	invalid
1.8s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.2s

ival-mult: 1.3s (40.1% of total)

ival-div: 844.0ms (26.2% of total)

ival-pow: 604.0ms (18.7% of total)

ival-pow2: 317.0ms (9.8% of total)

ival-sub: 124.0ms (3.8% of total)

exact: 20.0ms (0.6% of total)

ival-true: 15.0ms (0.5% of total)

ival-assert: 8.0ms (0.2% of total)

Bogosity

preprocess300.0ms (1.4%)

Memory

17.5MiB live, 599.0MiB allocated

Algorithm

2×	egg-herbie

Rules

6 600×	`-lowering-.f32`
6 600×	`-lowering-.f64`
3 422×	`/-lowering-/.f32`
3 422×	`/-lowering-/.f64`
2 244×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	171	588
1	566	580
2	1968	575
3	4577	575
0	23	27
1	52	27
2	159	27
3	1040	27
4	3420	27
5	6701	27
0	8004	26

Stop Event

1×	iter limit
1×	node limit
1×	node limit

Calls

Call 1

Inputs
(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))

Outputs

(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))

(*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 h (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 #s(literal 4 binary64) (*.f64 d d))))) #s(literal 1 binary64))))

Call 2

Inputs
(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))
(* (* (pow (/ (neg d) h) (/ 1 2)) (pow (/ (neg d) l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 (neg d))) 2)) (/ h l))))
(* (* (pow (/ d (neg h)) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ (neg h) l))))
(* (* (pow (/ d h) (/ 1 2)) (pow (/ d (neg l)) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h (neg l)))))
(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* (neg M) D) (* 2 d)) 2)) (/ h l))))
(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M (neg D)) (* 2 d)) 2)) (/ h l))))
(neg (* (* (pow (/ (neg d) h) (/ 1 2)) (pow (/ (neg d) l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 (neg d))) 2)) (/ h l)))))
(neg (* (* (pow (/ d (neg h)) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ (neg h) l)))))
(neg (* (* (pow (/ d h) (/ 1 2)) (pow (/ d (neg l)) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h (neg l))))))
(neg (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* (neg M) D) (* 2 d)) 2)) (/ h l)))))
(neg (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M (neg D)) (* 2 d)) 2)) (/ h l)))))
(* (* (pow (/ h d) (/ 1 2)) (pow (/ h l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 h)) 2)) (/ d l))))
(* (* (pow (/ l h) (/ 1 2)) (pow (/ l d) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 l)) 2)) (/ h d))))
(* (* (pow (/ M h) (/ 1 2)) (pow (/ M l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* d D) (* 2 M)) 2)) (/ h l))))
(* (* (pow (/ D h) (/ 1 2)) (pow (/ D l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M d) (* 2 D)) 2)) (/ h l))))
(* (* (pow (/ d l) (/ 1 2)) (pow (/ d h) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ l h))))
(* (* (pow (/ d M) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* h D) (* 2 d)) 2)) (/ M l))))
(* (* (pow (/ d D) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M h) (* 2 d)) 2)) (/ D l))))
(* (* (pow (/ d h) (/ 1 2)) (pow (/ d M) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* l D) (* 2 d)) 2)) (/ h M))))
(* (* (pow (/ d h) (/ 1 2)) (pow (/ d D) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M l) (* 2 d)) 2)) (/ h D))))
(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* D M) (* 2 d)) 2)) (/ h l))))

Outputs
(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))
(* (* (sqrt (/ d h)) (sqrt (/ d l))) (+ 1 (* (pow (* 1/2 (* M (/ D d))) 2) (* -1/2 (/ h l)))))
(* (* (pow (/ (neg d) h) (/ 1 2)) (pow (/ (neg d) l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 (neg d))) 2)) (/ h l))))
(* (* (sqrt (/ d (neg h))) (sqrt (/ d (neg l)))) (+ 1 (* (pow (* 1/2 (* M (/ D d))) 2) (* -1/2 (/ h l)))))
(* (* (pow (/ d (neg h)) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ (neg h) l))))
(* (sqrt (/ d (neg h))) (* (sqrt (/ d l)) (+ 1 (* 1/2 (* (pow (* 1/2 (* M (/ D d))) 2) (/ h l))))))
(* (* (pow (/ d h) (/ 1 2)) (pow (/ d (neg l)) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h (neg l)))))
(* (* (sqrt (/ d h)) (sqrt (/ d (neg l)))) (+ 1 (* 1/2 (* (pow (* 1/2 (* M (/ D d))) 2) (/ h l)))))
(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* (neg M) D) (* 2 d)) 2)) (/ h l))))
(* (* (sqrt (/ d h)) (sqrt (/ d l))) (+ 1 (* (pow (* 1/2 (* M (/ D d))) 2) (* -1/2 (/ h l)))))
(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M (neg D)) (* 2 d)) 2)) (/ h l))))
(* (* (sqrt (/ d h)) (sqrt (/ d l))) (+ 1 (* (pow (* 1/2 (* M (/ D d))) 2) (* -1/2 (/ h l)))))
(neg (* (* (pow (/ (neg d) h) (/ 1 2)) (pow (/ (neg d) l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 (neg d))) 2)) (/ h l)))))
(* (* (sqrt (/ d (neg h))) (sqrt (/ d (neg l)))) (+ (* 1/2 (* (pow (* 1/2 (* M (/ D d))) 2) (/ h l))) -1))
(neg (* (* (pow (/ d (neg h)) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ (neg h) l)))))
(* (sqrt (/ d l)) (* (sqrt (/ d (neg h))) (+ (* (pow (* 1/2 (* M (/ D d))) 2) (* -1/2 (/ h l))) -1)))
(neg (* (* (pow (/ d h) (/ 1 2)) (pow (/ d (neg l)) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h (neg l))))))
(* (* (sqrt (/ d h)) (sqrt (/ d (neg l)))) (+ (* (pow (* 1/2 (* M (/ D d))) 2) (* -1/2 (/ h l))) -1))
(neg (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* (neg M) D) (* 2 d)) 2)) (/ h l)))))
(* (sqrt (/ d l)) (* (sqrt (/ d h)) (+ (* 1/2 (* (pow (* 1/2 (* M (/ D d))) 2) (/ h l))) -1)))
(neg (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M (neg D)) (* 2 d)) 2)) (/ h l)))))
(* (sqrt (/ d l)) (* (sqrt (/ d h)) (+ (* 1/2 (* (pow (* 1/2 (* M (/ D d))) 2) (/ h l))) -1)))
(* (* (pow (/ h d) (/ 1 2)) (pow (/ h l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 h)) 2)) (/ d l))))
(* (sqrt (/ h d)) (* (sqrt (/ h l)) (+ 1 (* (pow (* M (/ (/ D h) 2)) 2) (* -1/2 (/ d l))))))
(* (* (pow (/ l h) (/ 1 2)) (pow (/ l d) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 l)) 2)) (/ h d))))
(* (sqrt (/ l h)) (* (sqrt (/ l d)) (+ 1 (* (pow (* D (/ (/ M l) 2)) 2) (* -1/2 (/ h d))))))
(* (* (pow (/ M h) (/ 1 2)) (pow (/ M l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* d D) (* 2 M)) 2)) (/ h l))))
(* (* (sqrt (/ M h)) (sqrt (/ M l))) (+ 1 (* (pow (* d (/ (/ D 2) M)) 2) (* -1/2 (/ h l)))))
(* (* (pow (/ D h) (/ 1 2)) (pow (/ D l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M d) (* 2 D)) 2)) (/ h l))))
(* (sqrt (/ D h)) (* (sqrt (/ D l)) (+ 1 (* (/ h l) (* (pow (* d (/ M (* 2 D))) 2) -1/2)))))
(* (* (pow (/ d l) (/ 1 2)) (pow (/ d h) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ l h))))
(* (sqrt (/ d h)) (* (sqrt (/ d l)) (+ 1 (* (pow (* 1/2 (* M (/ D d))) 2) (* -1/2 (/ l h))))))
(* (* (pow (/ d M) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* h D) (* 2 d)) 2)) (/ M l))))
(* (* (sqrt (/ d l)) (sqrt (/ d M))) (+ 1 (* (pow (* D (/ h (* d 2))) 2) (* -1/2 (/ M l)))))
(* (* (pow (/ d D) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M h) (* 2 d)) 2)) (/ D l))))
(* (sqrt (/ d l)) (* (sqrt (/ d D)) (+ 1 (* (/ D l) (* (pow (* h (/ M (* d 2))) 2) -1/2)))))
(* (* (pow (/ d h) (/ 1 2)) (pow (/ d M) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* l D) (* 2 d)) 2)) (/ h M))))
(* (* (sqrt (/ d h)) (sqrt (/ d M))) (+ 1 (* (pow (* (/ l d) (/ D 2)) 2) (* -1/2 (/ h M)))))
(* (* (pow (/ d h) (/ 1 2)) (pow (/ d D) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M l) (* 2 d)) 2)) (/ h D))))
(* (sqrt (/ d h)) (* (sqrt (/ d D)) (+ 1 (* (pow (* l (/ M (* d 2))) 2) (* -1/2 (/ h D))))))
(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* D M) (* 2 d)) 2)) (/ h l))))
(* (* (sqrt (/ d h)) (sqrt (/ d l))) (+ 1 (* (pow (* 1/2 (* M (/ D d))) 2) (* -1/2 (/ h l)))))

Symmetry

(abs M)

(abs D)

(sort M D)

explain378.0ms (1.7%)

Memory

18.4MiB live, 747.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
73	-	3	(2.370137270865207e-36 8.95784057806079e-128 4.391300472428681e+286 3.2698069022726994e+124 1.0620538905819933e+254)	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
66	-	6	(9.623808091731799e-166 1.1541950935744493e+148 4.77391335908704e-111 6.981744741649815e-58 3.732062600154403e+99)	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
41	-	0	-	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`
30	-	1	(-3.796559828932366e-254 -9.252330487836593e-7 -1.4273184985318995e-234 2.9104590193940373e-289 1.4839927364761603e-24)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
29	-	0	-	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
0	-	0	-	`D`
0	-	0	-	`(*.f64 #s(literal 2 binary64) d)`
0	-	0	-	`(/.f64 h l)`
0	-	0	-	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
0	-	0	-	`d`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(/.f64 d l)`
0	-	0	-	`(*.f64 M D)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	0	-	`(/.f64 d h)`
0	-	0	-	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`l`
0	-	0	-	`(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`
0	-	0	-	`M`
0	-	0	-	`h`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	36	0
↳	`(/.f64 d l)`	underflow	36
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	35	0
↳	`(/.f64 d h)`	underflow	35
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	34	0
↳	`(/.f64 d l)`	overflow	34
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	25	0
↳	`(/.f64 d h)`	overflow	25
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*uo**	15	0
↳	`(/.f64 d h)`	underflow	35
↳	`(/.f64 d l)`	underflow	36
↳	`(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`	underflow	25
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	86
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	overflow	86
↳	`(/.f64 h l)`	overflow	35
↳	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))`	overflow	86
↳	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	overflow	86
↳	`(*.f64 M D)`	overflow	38
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	47
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*no**	13	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	13	0
↳	`(*.f64 M D)`	overflow	38
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*no**	10	0
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*nu**	4	0
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*ou**	3	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	86
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	overflow	86
↳	`(*.f64 M D)`	overflow	38
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	47
↳	`(/.f64 h l)`	underflow	29
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*uo**	2	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	93
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	underflow	93
↳	`(*.f64 M D)`	underflow	38
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	44
↳	`(/.f64 h l)`	overflow	35
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	2	0
↳	`(*.f64 M D)`	underflow	38

Confusion

	Predicted +	Predicted -
+	92	4
-	34	126

Precision

0.7301587301587301

Recall

0.9583333333333334

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	92	0	4
-	34	0	126

Precision?

0.7301587301587301

Recall?

0.9583333333333334

Freqs

test

number	freq
0	130
1	76
2	36
3	12
4	2

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

112.0ms

512×

valid

Compiler

Compiled 392 to 92 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-div: 27.0ms (38.6% of total)

ival-pow: 19.0ms (27.1% of total)

ival-mult: 16.0ms (22.8% of total)

ival-pow2: 5.0ms (7.1% of total)

ival-sub: 2.0ms (2.9% of total)

ival-true: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 5 to 5 computations (0% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Status

Accuracy

Program

▶

63.9%

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Compiler

Compiled 40 to 22 computations (45% saved)

simplify237.0ms (1.1%)

Memory

19.7MiB live, 431.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
✓	cost-diff	5504	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
✓	cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
✓	cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Rules

6 600×	`-lowering-.f32`
6 600×	`-lowering-.f64`
3 422×	`/-lowering-/.f32`
3 422×	`/-lowering-/.f64`
2 244×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	126
1	52	126
2	159	126
3	1040	126
4	3420	126
5	6701	126
0	8004	124

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))
(* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)))
(pow (/ d h) (/ 1 2))
(/ d h)
d
h
(/ 1 2)
1
2
(pow (/ d l) (/ 1 2))
(/ d l)
l
(- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))
(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
(* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2))
(pow (/ (* M D) (* 2 d)) 2)
(/ (* M D) (* 2 d))
(* M D)
M
D
(* 2 d)
(/ h l)

Outputs
(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))
(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 h (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 l (.f64 #s(literal 4 binary64) (*.f64 d d))))) #s(literal 1 binary64))))
(* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)))
(fma.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)) #s(literal 0 binary64))
(pow (/ d h) (/ 1 2))
(sqrt.f64 (/.f64 d h))
(/ d h)
(/.f64 d h)
d
h
(/ 1 2)
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
2
#s(literal 2 binary64)
(pow (/ d l) (/ 1 2))
(sqrt.f64 (/.f64 d l))
(/ d l)
(/.f64 d l)
l
(- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))
(fma.f64 h (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 l (.f64 #s(literal 4 binary64) (*.f64 d d))))) #s(literal 1 binary64))
(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
(fma.f64 h (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 l (.f64 #s(literal 4 binary64) (*.f64 d d))))) #s(literal 0 binary64))
(* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal 0 binary64))
(pow (/ (* M D) (* 2 d)) 2)
(/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 #s(literal 4 binary64) (*.f64 d d)))
(/ (* M D) (* 2 d))
(.f64 D (/.f64 M (.f64 d #s(literal 2 binary64))))
(* M D)
(*.f64 M D)
M
D
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(/ h l)
(/.f64 h l)

localize73.0ms (0.3%)

Memory

-13.5MiB live, 144.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	89.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
✓	accuracy	85.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
✓	accuracy	76.9%	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
✓	accuracy	73.6%	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

46.0ms

256×

valid

Compiler

Compiled 156 to 24 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 10.0ms (30.7% of total)

ival-div: 9.0ms (27.6% of total)

ival-pow: 9.0ms (27.6% of total)

ival-pow2: 3.0ms (9.2% of total)

ival-sub: 1.0ms (3.1% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series46.0ms (0.2%)

Memory

6.9MiB live, 83.0MiB allocated

Counts

6 → 204

Calls

Call 1

Inputs
#<alt (pow (/ d h) (/ 1 2))>
#<alt (pow (/ d l) (/ 1 2))>
#<alt (pow (/ (* M D) (* 2 d)) 2)>
#<alt (/ 1 2)>
#<alt (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))>
#<alt (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))>

Outputs
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (* (sqrt (/ d h)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d h)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d h)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d h)) (pow (sqrt -1) 2))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (* (sqrt (/ d l)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d l)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d l)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d l)) (pow (sqrt -1) 2))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))>
#<alt (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)>
#<alt (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)>
#<alt (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))>
#<alt (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))>
#<alt (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))>
#<alt (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))>
#<alt (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)>
#<alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)>
#<alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))>
#<alt (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))>
#<alt (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))>
#<alt (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))>
#<alt (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))>
#<alt (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))>
#<alt (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))>
#<alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))>
#<alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))>
#<alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))>
#<alt (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))>
#<alt (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))>
#<alt (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))>
#<alt (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))>
#<alt (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))>
#<alt (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))>
#<alt (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))>
#<alt (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))>
#<alt (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))>
#<alt (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))>
#<alt (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))>
#<alt (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))>
#<alt (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))>
#<alt (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))>
#<alt (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))>
#<alt (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))>
#<alt (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))>
#<alt (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))>
#<alt (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))>
#<alt (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))>
#<alt (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))>
#<alt (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))>

Calls

51 calls:

Time	Variable		Point	Expression
4.0ms	l	@	inf	(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
2.0ms	D	@	0	(pow (/ (* M D) (* 2 d)) 2)
2.0ms	h	@	0	(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))
2.0ms	D	@	inf	(pow (/ (* M D) (* 2 d)) 2)
2.0ms	h	@	0	(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))

rewrite319.0ms (1.5%)

Memory

15.8MiB live, 532.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 446×	`-lowering-.f32`
7 446×	`-lowering-.f64`
4 352×	`accelerator-lowering-fma.f32`
4 352×	`accelerator-lowering-fma.f64`
3 368×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	60
1	109	59
2	813	59
0	8746	58

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 603

Calls

Call 1

Inputs
(pow (/ d h) (/ 1 2))
(pow (/ d l) (/ 1 2))
(pow (/ (* M D) (* 2 d)) 2)
(/ 1 2)
(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))

Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d h))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d h) (/.f64 d h))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64))))
(sqrt.f64 (/.f64 d h))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 h d))))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 h)))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) h))))
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64))
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 d h) (/.f64 d h)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (/.f64 h d)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d h)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 d))
(.f64 (pow.f64 d #s(literal 1/4 binary64)) (.f64 (pow.f64 h #s(literal -1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (pow.f64 (/.f64 #s(literal -1 binary64) h) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) h))))
(.f64 (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 d h)))
(*.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 d #s(literal 1/4 binary64))) (pow.f64 h #s(literal -1/4 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/8 binary64))) (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d l))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 d (/.f64 d l)) l)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64))))
(sqrt.f64 (/.f64 d l))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 l d)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 l d))))
(/.f64 (sqrt.f64 d) (sqrt.f64 l))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 l d))))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 l)))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) l))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 d)) (sqrt.f64 l))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
(/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 l))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
(pow.f64 (/.f64 d l) #s(literal 1/2 binary64))
(pow.f64 (/.f64 l d) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 d (/.f64 d l)) l) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (/.f64 l d)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d l)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d l)))
(*.f64 (sqrt.f64 (/.f64 d l)) #s(literal 1 binary64))
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(.f64 (sqrt.f64 d) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (sqrt.f64 d))
(.f64 (pow.f64 d #s(literal 1/4 binary64)) (.f64 (pow.f64 l #s(literal -1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (pow.f64 (/.f64 #s(literal -1 binary64) l) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) l))))
(.f64 (pow.f64 (/.f64 d l) #s(literal 1/8 binary64)) (.f64 (pow.f64 (/.f64 d l) #s(literal 1/8 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 d l)))
(*.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 l #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 d #s(literal 1/4 binary64))) (pow.f64 l #s(literal -1/4 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/8 binary64))) (pow.f64 (/.f64 d l) #s(literal 1/8 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))) (log.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))))))
(neg.f64 (/.f64 (.f64 M (.f64 D (-.f64 #s(literal 0 binary64) (.f64 M D)))) (.f64 (*.f64 d d) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)) (.f64 M D)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)) (.f64 M D)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M (.f64 D (*.f64 M D)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d #s(literal 2 binary64))) (.f64 M (.f64 D (.f64 (.f64 M D) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 M (.f64 D (-.f64 #s(literal 0 binary64) (*.f64 M D))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d #s(literal -2 binary64))) (.f64 (.f64 M D) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 M D))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d (/.f64 d (.f64 (.f64 M D) #s(literal 1/2 binary64)))) (.f64 (*.f64 M D) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d d) (.f64 (.f64 M (.f64 D (*.f64 M D))) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d #s(literal 2 binary64)) (.f64 D (/.f64 (.f64 (.f64 (*.f64 M D) #s(literal 1/2 binary64)) M) d))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d #s(literal -2 binary64)) (/.f64 (.f64 M (.f64 D (.f64 M D))) (*.f64 d #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 d (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d)))
(/.f64 (.f64 M D) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)))
(/.f64 (.f64 M D) (neg.f64 (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 M D)))))
(/.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 d (.f64 (.f64 M D) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 M D)) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 M D))))
(/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) (.f64 d (/.f64 d (.f64 (*.f64 M D) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)) (.f64 M D))))
(/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (*.f64 d d) #s(literal 4 binary64)))
(/.f64 (.f64 M (.f64 D (.f64 (.f64 M D) #s(literal 1/2 binary64)))) (.f64 d (.f64 d #s(literal 2 binary64))))
(/.f64 (.f64 M (.f64 D (-.f64 #s(literal 0 binary64) (.f64 M D)))) (neg.f64 (.f64 (*.f64 d d) #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 M D) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 M D)))) (.f64 d (.f64 d #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) (*.f64 d d))
(/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (neg.f64 (.f64 d (/.f64 d (.f64 (*.f64 M D) #s(literal 1/2 binary64))))))
(/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 M D) d)) (.f64 #s(literal -2 binary64) (/.f64 d (.f64 M D))))
(/.f64 (/.f64 (.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) M) d) (/.f64 (.f64 d #s(literal 2 binary64)) D))
(/.f64 (.f64 D (/.f64 (.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) M) d)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 D d) (.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 d D))
(/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d #s(literal -2 binary64))) (*.f64 d #s(literal -2 binary64)))
(/.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d) d)
(/.f64 (neg.f64 (.f64 (.f64 M D) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 M D))))) (neg.f64 (.f64 d (.f64 d #s(literal -2 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64))) (*.f64 d (-.f64 #s(literal 0 binary64) d)))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) d)) (-.f64 #s(literal 0 binary64) d))
(/.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))) (.f64 #s(literal -2 binary64) (/.f64 d (*.f64 M D))))
(/.f64 (.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (/.f64 d (*.f64 M D))))
(/.f64 (.f64 (.f64 D (/.f64 (.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) M) d)) #s(literal 1 binary64)) (.f64 d #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) D) d)
(/.f64 (.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (.f64 (*.f64 M D) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) d))
(/.f64 (.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) (/.f64 (.f64 M D) d)) #s(literal 2 binary64))
(/.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) M) d) #s(literal 1 binary64)) (/.f64 (*.f64 d #s(literal 2 binary64)) D))
(/.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) M) d) (/.f64 D d)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 D (/.f64 (.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) M) d)) #s(literal -1 binary64)) (.f64 d #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 D (/.f64 (.f64 (.f64 (*.f64 M D) #s(literal 1/2 binary64)) M) d)) (/.f64 #s(literal 1 binary64) d)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (/.f64 d D))
(/.f64 (.f64 (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (-.f64 #s(literal 0 binary64) D)) (-.f64 #s(literal 0 binary64) d))
(/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1 binary64)) (.f64 (.f64 d d) #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 M (.f64 D (-.f64 #s(literal 0 binary64) (.f64 M D)))) #s(literal 1 binary64)) (neg.f64 (.f64 (.f64 d d) #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 M (.f64 D (.f64 (.f64 M D) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (.f64 d (*.f64 d #s(literal 2 binary64))))
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(/.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 h d)))
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(.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (.f64 (.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))))
(.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
(.f64 (sqrt.f64 d) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 d) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))))
(.f64 (pow.f64 d #s(literal 1/4 binary64)) (.f64 (pow.f64 h #s(literal -1/4 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))))
(.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 h l)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 h l)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))
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(.f64 (.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (/.f64 h l) (.f64 M (.f64 D (.f64 M D)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (fma.f64 (/.f64 (.f64 (/.f64 h l) (.f64 M (.f64 D (.f64 M D)))) (.f64 (*.f64 d d) #s(literal 4 binary64))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) h) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) h) (.f64 (.f64 d d) #s(literal 4 binary64))))) (.f64 l l)))) (/.f64 #s(literal 1 binary64) (fma.f64 h (/.f64 (/.f64 (.f64 M (.f64 D (.f64 (.f64 M D) #s(literal 1/2 binary64)))) (.f64 (*.f64 d d) #s(literal 4 binary64))) l) #s(literal 1 binary64))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l))) #s(literal 3 binary64))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (/.f64 h l) (.f64 M (.f64 D (.f64 M D)))) (.f64 (.f64 d d) #s(literal 4 binary64))) (fma.f64 (/.f64 (.f64 (/.f64 h l) (.f64 M (.f64 D (.f64 M D)))) (.f64 (*.f64 d d) #s(literal 4 binary64))) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) h) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) h) (.f64 (.f64 d d) #s(literal 4 binary64))))) (.f64 l l))) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (/.f64 #s(literal 1 binary64) (fma.f64 h (/.f64 (/.f64 (.f64 M (.f64 D (.f64 (.f64 M D) #s(literal 1/2 binary64)))) (.f64 (*.f64 d d) #s(literal 4 binary64))) l) #s(literal 1 binary64))))
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(.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 d l))))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (pow.f64 (/.f64 (.f64 d d) (.f64 h l)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 (.f64 d d) (.f64 h l)) #s(literal 1/4 binary64)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 d h)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))
(.f64 (.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 d l)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))

simplify754.0ms (3.5%)

Memory

9.9MiB live, 522.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 660×	`accelerator-lowering-fma.f32`
6 660×	`accelerator-lowering-fma.f64`
5 620×	`-lowering-.f32`
5 620×	`-lowering-.f64`
3 426×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	3277
1	321	3193
2	1147	3183
3	2635	3164
4	5494	3164
0	8538	3125

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)
(* d (sqrt (/ 1 (* h l))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
(* d (sqrt (/ 1 (* h l))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(* d (sqrt (/ 1 (* h l))))
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(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(* d (sqrt (/ 1 (* h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))

Outputs
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d h)))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
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(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
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(sqrt (/ d l))
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(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
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(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l)))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l)))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l)))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 M M))) (*.f64 d d))
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(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 h h))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l))))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 h h))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l))))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64))))
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))
(.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 h h))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l))))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(fma.f64 h (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 h h))))) (-.f64 #s(literal 0 binary64) d) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(fma.f64 h (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 h h))))) (-.f64 #s(literal 0 binary64) d) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(fma.f64 h (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 h h))))) (-.f64 #s(literal 0 binary64) d) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(fma.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) (sqrt.f64 (.f64 h l))) (/.f64 (.f64 D D) d)))) (*.f64 l l))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) (sqrt.f64 (.f64 h l))) (/.f64 (.f64 D D) d)))) (*.f64 l l))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) (sqrt.f64 (.f64 h l))) (/.f64 (.f64 D D) d)))) (*.f64 l l))
(* d (sqrt (/ 1 (* h l))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) #s(literal 0 binary64))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (fma.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64)))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (fma.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64)))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (fma.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64)))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (-.f64 #s(literal 0 binary64) d) #s(literal 0 binary64))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(-.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))) (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) #s(literal 0 binary64)))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(-.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))) (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) #s(literal 0 binary64)))
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))
(-.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d))) (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) #s(literal 0 binary64)))
(* d (sqrt (/ 1 (* h l))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) #s(literal 0 binary64))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (fma.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64)))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (fma.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64)))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (fma.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64)))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(fma.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (fma.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64)))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (fma.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64)))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (fma.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64)))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(fma.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (fma.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64)))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (fma.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64)))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (fma.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64)))
(* d (sqrt (/ 1 (* h l))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) #s(literal 0 binary64))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (fma.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64)))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (fma.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64)))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (fma.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64)))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(fma.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (fma.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64)))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (fma.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64)))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (fma.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64)))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(fma.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (fma.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64)))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (fma.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64)))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (fma.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64)))

eval189.0ms (0.9%)

Memory: 1.3MiB live, 155.7MiB allocated
Compiler: Compiled 32 190 to 2 670 computations (91.7% saved)

prune280.0ms (1.3%)

Memory

-22.9MiB live, 216.7MiB allocated

Pruning

35 alts after pruning (35 fresh and 0 done)

	Pruned	Kept	Total
New	774	35	809
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	775	35	810

Accuracy

89.3%

Counts

810 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.0%	(fma.f64 (.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (.f64 h (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M (.f64 D (.f64 M D)))) (.f64 (.f64 d d) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) l) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
	16.0%	(fma.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64))
	27.0%	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (-.f64 #s(literal 0 binary64) d) #s(literal 0 binary64))
	3.7%	(fma.f64 h (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 h h))))) (-.f64 #s(literal 0 binary64) d) #s(literal 0 binary64))) #s(literal 0 binary64))
	28.0%	(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) #s(literal 1 binary64)) #s(literal 0 binary64)))
▶	27.6%	(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) #s(literal 0 binary64))
	17.0%	(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) (sqrt.f64 (.f64 h l))) (/.f64 (.f64 D D) d)))) (*.f64 l l))
▶	31.6%	(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h)
▶	28.7%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
	31.1%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 h))
	25.6%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
	28.3%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l))
	49.4%	(/.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
	50.9%	(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
	30.3%	(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	50.1%	(.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))))
	51.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) (*.f64 d d))))
	52.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 M D) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 M D)))) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) (.f64 d (.f64 d #s(literal -2 binary64))))))
	63.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) (.f64 d (/.f64 d (.f64 (*.f64 M D) #s(literal 1/2 binary64)))))))
	47.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M)))) (.f64 d (*.f64 d l)))))
▶	65.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) (.f64 d #s(literal 2 binary64))) (.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 h l)))))
	53.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (/.f64 (/.f64 M d) (/.f64 d M)) (/.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) D)))) (/.f64 h l))))
	64.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (/.f64 (/.f64 M d) (/.f64 #s(literal 2 binary64) D)) (/.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 d M)))) (/.f64 h l))))
	62.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (/.f64 M d) (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64)))))) (/.f64 h l))))
	53.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 D #s(literal 1/2 binary64))))) (/.f64 h l))))
	62.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 h l)) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d))))
	32.5%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	36.2%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	64.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	3.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	63.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	31.1%	(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
	34.4%	(.f64 (.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	50.2%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	15.6%	(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))

Compiler

Compiled 2 654 to 1 620 computations (39% saved)

simplify355.0ms (1.6%)

Memory

-44.1MiB live, 266.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	512	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
✓	cost-diff	4800	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
✓	cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) d)))
✓	cost-diff	0	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
✓	cost-diff	384	(fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 h l)
✓	cost-diff	0	(sqrt.f64 (/.f64 h l))
✓	cost-diff	0	(fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l)))))))
✓	cost-diff	0	(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h)
✓	cost-diff	0	(*.f64 h l)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 h l))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
✓	cost-diff	0	(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) #s(literal 0 binary64))
✓	cost-diff	512	(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) (.f64 d #s(literal 2 binary64))) (.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 h l))))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
✓	cost-diff	5824	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
✓	cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Rules

7 678×	`-lowering-.f32`
7 678×	`-lowering-.f64`
4 342×	`/-lowering-/.f32`
4 342×	`/-lowering-/.f64`
1 598×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	644
1	217	616
2	811	598
3	4571	592
0	8378	582

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* M D) 1/2) (* d 2)) (* (/ (* M D) (* d 2)) (/ h l)))))
(* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)))
(pow (/ d h) (/ 1 2))
(/ d h)
d
h
(/ 1 2)
1
2
(pow (/ d l) (/ 1 2))
(/ d l)
l
(- 1 (* (/ (* (* M D) 1/2) (* d 2)) (* (/ (* M D) (* d 2)) (/ h l))))
(* (/ (* (* M D) 1/2) (* d 2)) (* (/ (* M D) (* d 2)) (/ h l)))
(/ (* (* M D) 1/2) (* d 2))
(* (* M D) 1/2)
(* M D)
M
D
1/2
(* d 2)
(* (/ (* M D) (* d 2)) (/ h l))
(/ (* M D) (* d 2))
(/ h l)
(+ (* d (sqrt (/ 1 (* h l)))) 0)
d
(sqrt (/ 1 (* h l)))
(/ 1 (* h l))
1
(* h l)
h
l
0
(/ (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) h)
(+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l)))))))
d
(sqrt (/ h l))
(/ h l)
h
l
(* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))
(* D (/ (* D (* M M)) d))
D
(/ (* D (* M M)) d)
(* D (* M M))
(* M M)
M
(* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l)))))
-1/8
(sqrt (/ (* h (* h h)) (* l (* l l))))
(/ (* h (* h h)) (* l (* l l)))
(* h (* h h))
(* h h)
(* l (* l l))
(* l l)
(/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (- 0 d))) (sqrt (- 0 h)))
(* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (- 0 d)))
(* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1))
(sqrt (/ d l))
(/ d l)
d
l
(+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)
(/ (* M (* D (* M D))) (* (* d d) 4))
(* M (* D (* M D)))
M
(* D (* M D))
D
(* M D)
(* (* d d) 4)
(* d d)
4
(* -1/2 (/ h l))
-1/2
(/ h l)
h
1
(sqrt (- 0 d))
(- 0 d)
0
(sqrt (- 0 h))
(- 0 h)
(* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))
(* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d))))
(pow (/ d h) (/ 1 2))
(/ d h)
d
h
(/ 1 2)
1
2
(/ 1 (sqrt (/ l d)))
(sqrt (/ l d))
(/ l d)
l
(- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))
(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
(* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2))
(pow (/ (* M D) (* 2 d)) 2)
(/ (* M D) (* 2 d))
(* M D)
M
D
(* 2 d)
(/ h l)

Outputs
(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* M D) 1/2) (* d 2)) (* (/ (* M D) (* d 2)) (/ h l)))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l)) #s(literal 1 binary64))))
(* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(pow (/ d h) (/ 1 2))
(sqrt.f64 (/.f64 d h))
(/ d h)
(/.f64 d h)
d
h
(/ 1 2)
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
2
#s(literal 2 binary64)
(pow (/ d l) (/ 1 2))
(sqrt.f64 (/.f64 d l))
(/ d l)
(/.f64 d l)
l
(- 1 (* (/ (* (* M D) 1/2) (* d 2)) (* (/ (* M D) (* d 2)) (/ h l))))
(fma.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l)) #s(literal 1 binary64))
(* (/ (* (* M D) 1/2) (* d 2)) (* (/ (* M D) (* d 2)) (/ h l)))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 M (.f64 D (/.f64 h l)))) (.f64 d (*.f64 d #s(literal 4 binary64))))
(/ (* (* M D) 1/2) (* d 2))
(/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) d)
(* (* M D) 1/2)
(.f64 #s(literal 1/2 binary64) (.f64 M D))
(* M D)
(*.f64 M D)
M
D
1/2
#s(literal 1/2 binary64)
(* d 2)
(*.f64 d #s(literal 2 binary64))
(* (/ (* M D) (* d 2)) (/ h l))
(/.f64 (.f64 h (.f64 M D)) (.f64 (.f64 d #s(literal 2 binary64)) l))
(/ (* M D) (* d 2))
(/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))
(/ h l)
(/.f64 h l)
(+ (* d (sqrt (/ 1 (* h l)))) 0)
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) #s(literal 0 binary64))
d
(sqrt (/ 1 (* h l)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
(/ 1 (* h l))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
1
#s(literal 1 binary64)
(* h l)
(*.f64 h l)
h
l
0
#s(literal 0 binary64)
(/ (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) h)
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) (.f64 D (.f64 (.f64 M (/.f64 (*.f64 M D) d)) #s(literal -1/8 binary64))))) h)
(+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l)))))))
(fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) (.f64 D (.f64 (.f64 M (/.f64 (*.f64 M D) d)) #s(literal -1/8 binary64)))))
d
(sqrt (/ h l))
(sqrt.f64 (/.f64 h l))
(/ h l)
(/.f64 h l)
h
l
(* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))
(.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) (.f64 D (.f64 (.f64 M (/.f64 (*.f64 M D) d)) #s(literal -1/8 binary64))))
(* D (/ (* D (* M M)) d))
(.f64 D (.f64 M (/.f64 (*.f64 M D) d)))
D
(/ (* D (* M M)) d)
(.f64 M (/.f64 (.f64 M D) d))
(* D (* M M))
(.f64 M (.f64 M D))
(* M M)
(*.f64 M M)
M
(* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l)))))
(.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l)))))
-1/8
#s(literal -1/8 binary64)
(sqrt (/ (* h (* h h)) (* l (* l l))))
(sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))
(/ (* h (* h h)) (* l (* l l)))
(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
(* h (* h h))
(.f64 h (.f64 h h))
(* h h)
(*.f64 h h)
(* l (* l l))
(.f64 l (.f64 l l))
(* l l)
(*.f64 l l)
(/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (- 0 d))) (sqrt (- 0 h)))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l)) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 (-.f64 #s(literal 0 binary64) h))))
(* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (- 0 d)))
(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (fma.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l)) #s(literal 1 binary64))))
(* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1))
(.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)) #s(literal 1 binary64)))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(/ d l)
(/.f64 d l)
d
l
(+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)
(fma.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l)) #s(literal 1 binary64))
(/ (* M (* D (* M D))) (* (* d d) 4))
(/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 d (*.f64 d #s(literal 4 binary64))))
(* M (* D (* M D)))
(.f64 M (.f64 M (*.f64 D D)))
M
(* D (* M D))
(.f64 M (.f64 D D))
D
(* M D)
(*.f64 M D)
(* (* d d) 4)
(.f64 d (.f64 d #s(literal 4 binary64)))
(* d d)
(*.f64 d d)
4
#s(literal 4 binary64)
(* -1/2 (/ h l))
(/.f64 (*.f64 h #s(literal -1/2 binary64)) l)
-1/2
#s(literal -1/2 binary64)
(/ h l)
(/.f64 h l)
h
1
#s(literal 1 binary64)
(sqrt (- 0 d))
(sqrt.f64 (-.f64 #s(literal 0 binary64) d))
(- 0 d)
(-.f64 #s(literal 0 binary64) d)
0
#s(literal 0 binary64)
(sqrt (- 0 h))
(sqrt.f64 (-.f64 #s(literal 0 binary64) h))
(- 0 h)
(-.f64 #s(literal 0 binary64) h)
(* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))
(.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (fma.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 l d))))
(* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d))))
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))
(pow (/ d h) (/ 1 2))
(sqrt.f64 (/.f64 d h))
(/ d h)
(/.f64 d h)
d
h
(/ 1 2)
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
2
#s(literal 2 binary64)
(/ 1 (sqrt (/ l d)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))
(sqrt (/ l d))
(sqrt.f64 (/.f64 l d))
(/ l d)
(/.f64 l d)
l
(- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))
(fma.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 (.f64 h #s(literal -1/2 binary64)) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l)) #s(literal 1 binary64))
(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 M (.f64 D (/.f64 h l)))) (.f64 d (*.f64 d #s(literal 4 binary64))))
(* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2))
(.f64 (.f64 M D) (/.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/4 binary64)) d) (*.f64 d #s(literal 2 binary64))))
(pow (/ (* M D) (* 2 d)) 2)
(/.f64 (/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 d #s(literal 2 binary64))) (*.f64 d #s(literal 2 binary64)))
(/ (* M D) (* 2 d))
(/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64)))
(* M D)
(*.f64 M D)
M
D
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(/ h l)
(/.f64 h l)

localize697.0ms (3.2%)

Memory

3.2MiB live, 356.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	94.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
✓	accuracy	94.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
✓	accuracy	89.2%	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
✓	accuracy	88.4%	(sqrt.f64 (/.f64 l d))
✓	accuracy	97.4%	(.f64 M (.f64 D (*.f64 M D)))
✓	accuracy	94.7%	(fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
✓	accuracy	92.4%	(/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (*.f64 d d) #s(literal 4 binary64)))
✓	accuracy	87.4%	(sqrt.f64 (/.f64 d l))
✓	accuracy	91.1%	(.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))
✓	accuracy	88.6%	(sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l))))
✓	accuracy	88.4%	(sqrt.f64 (/.f64 h l))
✓	accuracy	88.0%	(/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))
✓	accuracy	100.0%	(*.f64 h l)
✓	accuracy	99.8%	(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) #s(literal 0 binary64))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (*.f64 h l))
✓	accuracy	88.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
✓	accuracy	94.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) (.f64 d #s(literal 2 binary64))) (.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 h l)))))
✓	accuracy	92.9%	(.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 h l))
✓	accuracy	89.2%	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
✓	accuracy	87.4%	(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Samples

302.0ms	120×	0	valid
86.0ms	136×	0	invalid

Compiler

Compiled 715 to 78 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 297.0ms

ival-mult: 163.0ms (54.9% of total)

ival-div: 103.0ms (34.7% of total)

ival-sqrt: 11.0ms (3.7% of total)

ival-pow: 10.0ms (3.4% of total)

ival-sub: 4.0ms (1.3% of total)

ival-add: 3.0ms (1% of total)

ival-pow2: 2.0ms (0.7% of total)

exact: 1.0ms (0.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series129.0ms (0.6%)

Memory

-3.3MiB live, 187.3MiB allocated

Counts

29 → 1 176

Calls

Call 1

Inputs
#<alt (pow (/ d h) (/ 1 2))>
#<alt (pow (/ d l) (/ 1 2))>
#<alt (/ 1 2)>
#<alt (- 1 (* (/ (* (* M D) 1/2) (* d 2)) (* (/ (* M D) (* d 2)) (/ h l))))>
#<alt (+ (* d (sqrt (/ 1 (* h l)))) 0)>
#<alt (sqrt (/ 1 (* h l)))>
#<alt (/ 1 (* h l))>
#<alt (* h l)>
#<alt (/ (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) h)>
#<alt (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l)))))))>
#<alt (sqrt (/ h l))>
#<alt (/ h l)>
#<alt (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)>
#<alt (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (- 0 d))) (sqrt (- 0 h)))>
#<alt (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (- 0 d)))>
#<alt (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1))>
#<alt (pow (/ (* M D) (* 2 d)) 2)>
#<alt (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))>
#<alt (* (/ (* M D) (* d 2)) (/ h l))>
#<alt (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* M D) 1/2) (* d 2)) (* (/ (* M D) (* d 2)) (/ h l)))))>
#<alt (/ (* h (* h h)) (* l (* l l)))>
#<alt (sqrt (/ (* h (* h h)) (* l (* l l))))>
#<alt (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))>
#<alt (sqrt (/ d l))>
#<alt (/ (* M (* D (* M D))) (* (* d d) 4))>
#<alt (* M (* D (* M D)))>
#<alt (sqrt (/ l d))>
#<alt (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))>
#<alt (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))>

Outputs
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (* (sqrt (/ d h)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d h)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d h)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d h)) (pow (sqrt -1) 2))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (* (sqrt (/ d l)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d l)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d l)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d l)) (pow (sqrt -1) 2))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))>
#<alt (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))>
#<alt (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))>
#<alt (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))>
#<alt (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))>
#<alt (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))>
#<alt (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))>
#<alt (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))>
#<alt (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))>
#<alt (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))>
#<alt (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))>
#<alt (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))>
#<alt (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))>
#<alt (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))>
#<alt (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)>
#<alt (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)>
#<alt (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))>
#<alt (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))>
#<alt (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))>
#<alt (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))>
#<alt (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))>
#<alt (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))>
#<alt (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))>
#<alt (sqrt (/ 1 (* h l)))>
#<alt (sqrt (/ 1 (* h l)))>
#<alt (sqrt (/ 1 (* h l)))>
#<alt (sqrt (/ 1 (* h l)))>
#<alt (sqrt (/ 1 (* h l)))>
#<alt (sqrt (/ 1 (* h l)))>
#<alt (sqrt (/ 1 (* h l)))>
#<alt (sqrt (/ 1 (* h l)))>
#<alt (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))>
#<alt (sqrt (/ 1 (* h l)))>
#<alt (sqrt (/ 1 (* h l)))>
#<alt (sqrt (/ 1 (* h l)))>
#<alt (sqrt (/ 1 (* h l)))>
#<alt (sqrt (/ 1 (* h l)))>
#<alt (sqrt (/ 1 (* h l)))>
#<alt (sqrt (/ 1 (* h l)))>
#<alt (sqrt (/ 1 (* h l)))>
#<alt (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))>
#<alt (/ 1 (* h l))>
#<alt (/ 1 (* h l))>
#<alt (/ 1 (* h l))>
#<alt (/ 1 (* h l))>
#<alt (/ 1 (* h l))>
#<alt (/ 1 (* h l))>
#<alt (/ 1 (* h l))>
#<alt (/ 1 (* h l))>
#<alt (/ 1 (* h l))>
#<alt (/ 1 (* h l))>
#<alt (/ 1 (* h l))>
#<alt (/ 1 (* h l))>
#<alt (/ 1 (* h l))>
#<alt (/ 1 (* h l))>
#<alt (/ 1 (* h l))>
#<alt (/ 1 (* h l))>
#<alt (/ 1 (* h l))>
#<alt (/ 1 (* h l))>
#<alt (/ 1 (* h l))>
#<alt (/ 1 (* h l))>
#<alt (/ 1 (* h l))>
#<alt (/ 1 (* h l))>
#<alt (/ 1 (* h l))>
#<alt (/ 1 (* h l))>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))>
#<alt (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)>
#<alt (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)>
#<alt (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))>
#<alt (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))>
#<alt (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
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#<alt (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))>
#<alt (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))>
#<alt (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))>
#<alt (* -1 (* d (sqrt (/ 1 (* h l)))))>
#<alt (* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))>
#<alt (* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))>
#<alt (* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)>
#<alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)>
#<alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))>
#<alt (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))>
#<alt (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))>
#<alt (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))>
#<alt (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))>
#<alt (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))>
#<alt (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))>
#<alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))>
#<alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))>
#<alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))>
#<alt (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))>
#<alt (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))>
#<alt (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))>
#<alt (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))>
#<alt (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))>
#<alt (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))>
#<alt (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))>
#<alt (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))>
#<alt (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))>
#<alt (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))>
#<alt (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))>
#<alt (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))>
#<alt (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))>
#<alt (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))>
#<alt (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))>
#<alt (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))>
#<alt (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))>
#<alt (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))>
#<alt (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))>
#<alt (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))>

Calls

294 calls:

Time	Variable		Point	Expression
15.0ms	h	@	inf	(* (/ (* M D) (* d 2)) (/ h l))
8.0ms	d	@	0	(/ (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) h)
7.0ms	l	@	-inf	(+ (* d (sqrt (/ 1 (* h l)))) 0)
4.0ms	M	@	0	(/ (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) h)
2.0ms	h	@	inf	(* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (- 0 d)))

rewrite437.0ms (2%)

Memory

-10.3MiB live, 464.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 474×	`-lowering-.f32`
4 474×	`-lowering-.f64`
3 002×	`pow-lowering-pow.f64`
3 002×	`pow-lowering-pow.f32`
2 678×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	409
1	418	350
2	3852	340
0	8191	330

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 1 308

Calls

Call 1

Inputs
(pow (/ d h) (/ 1 2))
(pow (/ d l) (/ 1 2))
(/ 1 2)
(- 1 (* (/ (* (* M D) 1/2) (* d 2)) (* (/ (* M D) (* d 2)) (/ h l))))
(+ (* d (sqrt (/ 1 (* h l)))) 0)
(sqrt (/ 1 (* h l)))
(/ 1 (* h l))
(* h l)
(/ (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))) h)
(+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l)))))))
(sqrt (/ h l))
(/ h l)
(+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)
(/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (- 0 d))) (sqrt (- 0 h)))
(* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (- 0 d)))
(* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1))
(pow (/ (* M D) (* 2 d)) 2)
(- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))
(* (/ (* M D) (* d 2)) (/ h l))
(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* M D) 1/2) (* d 2)) (* (/ (* M D) (* d 2)) (/ h l)))))
(/ (* h (* h h)) (* l (* l l)))
(sqrt (/ (* h (* h h)) (* l (* l l))))
(* (* D (/ (* D (* M M)) d)) (* -1/8 (sqrt (/ (* h (* h h)) (* l (* l l))))))
(sqrt (/ d l))
(/ (* M (* D (* M D))) (* (* d d) 4))
(* M (* D (* M D)))
(sqrt (/ l d))
(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
(* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))

Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d h))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d h) (/.f64 d h))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 (-.f64 #s(literal 0 binary64) d)) #s(literal 1/2 binary64)) (.f64 (log.f64 (-.f64 #s(literal 0 binary64) h)) #s(literal 1/2 binary64))))
(sqrt.f64 (/.f64 d h))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) h)) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) h))))
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64))
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 d h) (/.f64 d h)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (/.f64 h d)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) h)) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d h)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) h))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) h)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 d))
(*.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) d) (-.f64 #s(literal 0 binary64) (.f64 h (fma.f64 h h #s(literal 0 binary64))))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 h h #s(literal 0 binary64))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) d) (-.f64 #s(literal 0 binary64) (fma.f64 h h #s(literal 0 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 h))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d l))))
(exp.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 l d)) #s(literal 0 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 l d)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d l) (/.f64 d l))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64))))
(exp.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 l d)) #s(literal 0 binary64))))
(sqrt.f64 (/.f64 d l))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 l d)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 l d))))
(/.f64 (sqrt.f64 d) (sqrt.f64 l))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 l)))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 d)) (sqrt.f64 l))
(/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 l))
(pow.f64 (/.f64 d l) #s(literal 1/2 binary64))
(pow.f64 (/.f64 l d) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 l d)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 d l) (/.f64 d l)) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 l d)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 l d)) (sqrt.f64 (/.f64 l d))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d l)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d l)))
(*.f64 (sqrt.f64 (/.f64 d l)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) l)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 l d)))))
(*.f64 (sqrt.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 l)))
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 d))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (pow.f64 (/.f64 #s(literal 1 binary64) d) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 d)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) l)) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) d)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 d l)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) d) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 l)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) d)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) d)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) l) (-.f64 #s(literal 0 binary64) (.f64 d (fma.f64 d d #s(literal 0 binary64))))) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 d d #s(literal 0 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) l) (-.f64 #s(literal 0 binary64) (fma.f64 d d #s(literal 0 binary64)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 d)))
(*.f64 (pow.f64 (pow.f64 (/.f64 d l) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 d l) #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 l #s(literal -1/4 binary64)) #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)))
(+.f64 (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 h (.f64 M D))) (.f64 (.f64 d #s(literal -2 binary64)) (.f64 d (*.f64 #s(literal 2 binary64) l)))))
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(/.f64 (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 (fma.f64 d d #s(literal 0 binary64)) (.f64 h l)))))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) h))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 d h))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 h (.f64 M D))) (.f64 (.f64 d #s(literal -2 binary64)) (.f64 d (.f64 #s(literal 2 binary64) l)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 l d))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)))) (sqrt.f64 (/.f64 d h))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 l d))))
(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)) #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 l d)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 h (.f64 M D))) (.f64 (.f64 d #s(literal -2 binary64)) (.f64 d (.f64 #s(literal 2 binary64) l)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l))) #s(literal 1 binary64))))
(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))))) (.f64 (sqrt.f64 (/.f64 l d)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l)))))
(/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d))))) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l)))) (sqrt.f64 (/.f64 l d)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l))))) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
(/.f64 (.f64 (sqrt.f64 (/.f64 (fma.f64 d d #s(literal 0 binary64)) (.f64 h l))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)) #s(literal 3 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 h (.f64 M D))) (.f64 (.f64 d #s(literal -2 binary64)) (.f64 d (.f64 #s(literal 2 binary64) l)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l))) #s(literal 1 binary64)))
(/.f64 (.f64 (sqrt.f64 (/.f64 (fma.f64 d d #s(literal 0 binary64)) (.f64 h l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 (fma.f64 d d #s(literal 0 binary64)) (.f64 h l)))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (.f64 h (.f64 M D))) (.f64 (.f64 d #s(literal -2 binary64)) (.f64 d (.f64 #s(literal 2 binary64) l)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l))) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)))) (sqrt.f64 (/.f64 (fma.f64 d d #s(literal 0 binary64)) (.f64 h l)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l))))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 (fma.f64 d d #s(literal 0 binary64)) (.f64 h l))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 (fma.f64 d d #s(literal 0 binary64)) (.f64 h l))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 (fma.f64 d d #s(literal 0 binary64)) (*.f64 h l)))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)))))
(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 d h))))
(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))))
(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d h)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)))))
(.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h))))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)))) (sqrt.f64 (/.f64 d h)))
(.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))))
(.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (/.f64 (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h))))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) h))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 (fma.f64 d d #s(literal 0 binary64)) (.f64 h l))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 d d #s(literal 0 binary64)) (.f64 h l))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l)))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) h))) (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l))))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) h))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l)))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))

simplify784.0ms (3.6%)

Memory

45.9MiB live, 753.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 886×	`-lowering-.f32`
8 886×	`-lowering-.f64`
5 324×	`accelerator-lowering-fma.f32`
5 324×	`accelerator-lowering-fma.f64`
3 538×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	370	20167
1	1114	19635
2	4057	19541
0	8290	19118

Stop Event

1×	iter limit
1×	node limit

Counts

1 176 → 1 176

Calls

Call 1

Inputs
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
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(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))

Outputs
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d h)))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d l))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l)))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l)))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l)))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l)))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M (.f64 D D))))) (.f64 d (*.f64 d l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M (.f64 D D))))) (.f64 d (*.f64 d l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M (.f64 D D))))) (.f64 d (*.f64 d l)))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M (.f64 D D))))) (.f64 d (*.f64 d l)))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M (.f64 D D))))) (.f64 d (*.f64 d l)))
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M (.f64 D D))))) (.f64 d (*.f64 d l)))
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M (.f64 D D))))) (.f64 d (*.f64 d l)))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M (.f64 D D))))) (.f64 d (*.f64 d l)))
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M M))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (-.f64 #s(literal 0 binary64) d))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (-.f64 #s(literal 0 binary64) d))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (-.f64 #s(literal 0 binary64) d))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (-.f64 #s(literal 0 binary64) d))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
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(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))
(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 (.f64 M (.f64 M (*.f64 D D))))) d))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(.f64 (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 h (.f64 h h))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l))))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M (.f64 D D)))) d))) (-.f64 #s(literal 0 binary64) h))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(.f64 (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 h (.f64 h h))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l))))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M (.f64 D D)))) d))) (-.f64 #s(literal 0 binary64) h))
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))
(.f64 (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (.f64 h (.f64 h h))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l))))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M (.f64 D D)))) d))) (-.f64 #s(literal 0 binary64) h))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (/.f64 (.f64 (sqrt.f64 (.f64 h l)) (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M (.f64 D D))))) d)) (*.f64 l l))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (/.f64 (.f64 (sqrt.f64 (.f64 h l)) (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M (.f64 D D))))) d)) (*.f64 l l))
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (/.f64 (.f64 (sqrt.f64 (.f64 h l)) (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M (.f64 D D))))) d)) (*.f64 l l))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) d))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) d))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) d))))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) d))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) d))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) d))))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) d))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) d))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) d))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(.f64 (.f64 M M) (fma.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 M M)) (/.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (*.f64 D D))) d)))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(.f64 (.f64 M M) (fma.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 M M)) (/.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (*.f64 D D))) d)))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(.f64 (.f64 M M) (fma.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 M M)) (/.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (*.f64 D D))) d)))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(.f64 (.f64 M M) (fma.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 M M)) (/.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (*.f64 D D))) d)))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(.f64 (.f64 M M) (fma.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 M M)) (/.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (*.f64 D D))) d)))
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))
(.f64 (.f64 M M) (fma.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 M M)) (/.f64 (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (*.f64 D D))) d)))
(* d (sqrt (/ 1 (* h l))))
(.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) d))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) d))))
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) d))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(.f64 (.f64 D D) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (/.f64 d (.f64 D D)) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(.f64 (.f64 D D) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (/.f64 d (.f64 D D)) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(.f64 (.f64 D D) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (/.f64 d (.f64 D D)) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))
(.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(.f64 (.f64 D D) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (/.f64 d (.f64 D D)) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(.f64 (.f64 D D) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (/.f64 d (.f64 D D)) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))
(.f64 (.f64 D D) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (/.f64 d (.f64 D D)) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 M M)) d))))

eval369.0ms (1.7%)

Memory: 17.6MiB live, 752.8MiB allocated
Compiler: Compiled 97 421 to 5 461 computations (94.4% saved)

prune376.0ms (1.7%)

Memory

-35.3MiB live, 815.0MiB allocated

Pruning

56 alts after pruning (55 fresh and 1 done)

	Pruned	Kept	Total
New	2 630	43	2 673
Fresh	18	12	30
Picked	4	1	5
Done	0	0	0
Total	2 652	56	2 708

Accuracy

91.3%

Counts

2 708 → 56

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.0%	(fma.f64 (.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (.f64 h (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M (.f64 D (.f64 M D)))) (.f64 (.f64 d d) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) l) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
	3.7%	(fma.f64 h (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 h h))))) (-.f64 #s(literal 0 binary64) d) #s(literal 0 binary64))) #s(literal 0 binary64))
	26.0%	(fma.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)) #s(literal 0 binary64))
	27.3%	(fma.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) #s(literal 0 binary64))
	27.6%	(fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) #s(literal 0 binary64))
	27.6%	(fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) #s(literal 0 binary64))
	28.0%	(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) #s(literal 1 binary64)) #s(literal 0 binary64)))
	26.1%	(fma.f64 d (exp.f64 (.f64 (log.f64 (.f64 h l)) #s(literal -1/2 binary64))) #s(literal 0 binary64))
	9.6%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (fma.f64 d d #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 d (sqrt.f64 (.f64 h l))))
	30.4%	(/.f64 (fma.f64 (.f64 (.f64 D (/.f64 (.f64 M M) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (fma.f64 h h #s(literal 0 binary64))) (.f64 l (.f64 l l)))))) D (.f64 d (sqrt.f64 (/.f64 h l)))) h)
	17.0%	(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) (sqrt.f64 (.f64 h l))) (/.f64 (.f64 D D) d)))) (*.f64 l l))
	27.2%	(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (fma.f64 h h #s(literal 0 binary64))) (.f64 l (.f64 l l)))))) d)) h)
▶	56.7%	(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))))) h)
	56.7%	(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 (/.f64 h l)) #s(literal 3 binary64))))) h)
	36.6%	(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 h (fma.f64 h h #s(literal 0 binary64))) l)) (sqrt.f64 (*.f64 l l)))))) h)
	56.3%	(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 l h)) #s(literal 3 binary64)))))) h)
	40.4%	(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 (/.f64 (.f64 h (fma.f64 h h #s(literal 0 binary64))) l) l) l))))) h)
	37.9%	(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 (/.f64 h l) (fma.f64 h h #s(literal 0 binary64))) (*.f64 l l)))))) h)
✓	31.6%	(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h)
	26.9%	(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (exp.f64 (-.f64 (.f64 (log.f64 h) #s(literal 3 binary64)) (*.f64 (log.f64 l) #s(literal 3 binary64)))))))) h)
	4.9%	(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
	47.3%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
	31.7%	(/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 (-.f64 #s(literal 0 binary64) l))) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
	29.5%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 (.f64 M (.f64 M D)) D) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
	35.0%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 h (.f64 M D)) (.f64 d (.f64 #s(literal 2 binary64) l))) (.f64 (/.f64 (.f64 M D) d) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
▶	31.1%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 h))
	29.1%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 (/.f64 (.f64 M (.f64 D D)) d) (/.f64 M (.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
	29.4%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 #s(literal 1/4 binary64) (.f64 D D))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
	25.6%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
	28.3%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l))
	22.9%	(/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M (*.f64 D D)))) d)) h)
	15.0%	(/.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (-.f64 #s(literal 0 binary64) d)) h)
	22.3%	(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
	36.5%	(/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h)
▶	27.3%	(/.f64 d (sqrt.f64 (*.f64 h l)))
	27.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 d (sqrt.f64 (*.f64 h l)))))
	30.3%	(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	28.7%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 (fma.f64 d d #s(literal 0 binary64)) (.f64 h l))))
	53.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (/.f64 (/.f64 M d) (/.f64 d M)) (/.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) D)))) (/.f64 h l))))
	62.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 h l)) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d))))
	32.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) (.f64 d #s(literal 2 binary64))) (.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 h l)))))
	37.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) (.f64 d #s(literal 2 binary64))) (.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 h l)))))
	63.0%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (fma.f64 (/.f64 (.f64 h (.f64 M D)) (.f64 d (.f64 #s(literal 2 binary64) l))) (.f64 (/.f64 (.f64 M D) d) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
▶	67.6%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d)) #s(literal 1 binary64)) (.f64 l (.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D)))))))
	62.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (/.f64 M d) (.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 M D)) d)))) (/.f64 h l))))
	56.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 h l))))
	65.4%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) (.f64 d #s(literal 2 binary64))) (.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 h l)))))
	34.8%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) h)) (sqrt.f64 (-.f64 #s(literal 0 binary64) d)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	46.5%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	50.2%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
	64.4%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	16.4%	(.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))
▶	15.6%	(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
	26.0%	(.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h))))
	27.0%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (-.f64 #s(literal 0 binary64) d))
	27.6%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d)

Compiler

Compiled 3 597 to 2 294 computations (36.2% saved)

simplify238.0ms (1.1%)

Memory

17.0MiB live, 487.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 h l)
✓	cost-diff	0	(sqrt.f64 (/.f64 h l))
✓	cost-diff	0	(fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)))))
✓	cost-diff	0	(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))))) h)
✓	cost-diff	0	(.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d))
✓	cost-diff	0	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 h))
✓	cost-diff	704	(fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 l (.f64 l l))
✓	cost-diff	0	(/.f64 h (.f64 l (.f64 l l)))
✓	cost-diff	0	(sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))
✓	cost-diff	0	(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
✓	cost-diff	0	(*.f64 h l)
✓	cost-diff	0	(sqrt.f64 (*.f64 h l))
✓	cost-diff	0	(/.f64 d (sqrt.f64 (*.f64 h l)))
✓	cost-diff	448	(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d)) #s(literal 1 binary64)) (.f64 l (.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D))))))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
✓	cost-diff	768	(/.f64 (.f64 (.f64 h (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d)) #s(literal 1 binary64)) (.f64 l (.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D)))))
✓	cost-diff	5824	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))

Rules

7 674×	`-lowering-.f32`
7 674×	`-lowering-.f64`
3 706×	`/-lowering-/.f32`
3 706×	`/-lowering-/.f64`
2 036×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	542
1	173	538
2	642	524
3	4010	524
4	7514	524
0	8207	516

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (/ (* (* h (/ (* 1/2 (* M D)) d)) 1) (* l (* 4 (/ d (* M D)))))))
(* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d))))
(pow (/ d h) (/ 1 2))
(/ d h)
d
h
(/ 1 2)
1
2
(/ 1 (sqrt (/ l d)))
(sqrt (/ l d))
(/ l d)
l
(- 1 (/ (* (* h (/ (* 1/2 (* M D)) d)) 1) (* l (* 4 (/ d (* M D))))))
(/ (* (* h (/ (* 1/2 (* M D)) d)) 1) (* l (* 4 (/ d (* M D)))))
(* (* h (/ (* 1/2 (* M D)) d)) 1)
(* h (/ (* 1/2 (* M D)) d))
(/ (* 1/2 (* M D)) d)
(* 1/2 (* M D))
1/2
(* M D)
M
D
(* l (* 4 (/ d (* M D))))
(* 4 (/ d (* M D)))
4
(/ d (* M D))
(/ d (sqrt (* h l)))
d
(sqrt (* h l))
(* h l)
h
l
(* (sqrt (/ h (* l (* l l)))) (* (* D (* D (* M M))) (/ 1/8 d)))
(sqrt (/ h (* l (* l l))))
(/ h (* l (* l l)))
h
(* l (* l l))
l
(* l l)
(* (* D (* D (* M M))) (/ 1/8 d))
(* D (* D (* M M)))
D
(* D (* M M))
(* M M)
M
(/ 1/8 d)
1/8
d
(/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt d)) (sqrt h))
(* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt d))
(* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1))
(sqrt (/ d l))
(/ d l)
d
l
(+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)
(/ (* M (* D (* M D))) (* (* d d) 4))
(* M (* D (* M D)))
M
(* D (* M D))
D
(* M D)
(* (* d d) 4)
(* d d)
4
(* -1/2 (/ h l))
-1/2
(/ h l)
h
1
(sqrt d)
(sqrt h)
(/ (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (pow (/ h l) 3/2)))) h)
(+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (pow (/ h l) 3/2))))
d
(sqrt (/ h l))
(/ h l)
h
l
(* (* D (/ (* D (* M M)) d)) (* -1/8 (pow (/ h l) 3/2)))
(* D (/ (* D (* M M)) d))
D
(/ (* D (* M M)) d)
(* D (* M M))
(* M M)
M
(* -1/8 (pow (/ h l) 3/2))
-1/8
(pow (/ h l) 3/2)
3/2

Outputs
(* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (/ (* (* h (/ (* 1/2 (* M D)) d)) 1) (* l (* 4 (/ d (* M D)))))))
(.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) (fma.f64 (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) h) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d))))
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))
(pow (/ d h) (/ 1 2))
(sqrt.f64 (/.f64 d h))
(/ d h)
(/.f64 d h)
d
h
(/ 1 2)
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
2
#s(literal 2 binary64)
(/ 1 (sqrt (/ l d)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))
(sqrt (/ l d))
(sqrt.f64 (/.f64 l d))
(/ l d)
(/.f64 l d)
l
(- 1 (/ (* (* h (/ (* 1/2 (* M D)) d)) 1) (* l (* 4 (/ d (* M D))))))
(fma.f64 (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) h) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) #s(literal 1 binary64))
(/ (* (* h (/ (* 1/2 (* M D)) d)) 1) (* l (* 4 (/ d (* M D)))))
(.f64 h (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) (.f64 (.f64 l (.f64 d #s(literal 4 binary64))) d)) (.f64 M D)))
(* (* h (/ (* 1/2 (* M D)) d)) 1)
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 h (*.f64 M D)) d))
(* h (/ (* 1/2 (* M D)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 h (*.f64 M D)) d))
(/ (* 1/2 (* M D)) d)
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 M D) d))
(* 1/2 (* M D))
(.f64 #s(literal 1/2 binary64) (.f64 M D))
1/2
#s(literal 1/2 binary64)
(* M D)
(*.f64 M D)
M
D
(* l (* 4 (/ d (* M D))))
(/.f64 (.f64 l (.f64 d #s(literal 4 binary64))) (*.f64 M D))
(* 4 (/ d (* M D)))
(.f64 #s(literal 4 binary64) (/.f64 d (.f64 M D)))
4
#s(literal 4 binary64)
(/ d (* M D))
(/.f64 d (*.f64 M D))
(/ d (sqrt (* h l)))
(/.f64 d (sqrt.f64 (*.f64 h l)))
d
(sqrt (* h l))
(sqrt.f64 (*.f64 h l))
(* h l)
(*.f64 h l)
h
l
(* (sqrt (/ h (* l (* l l)))) (* (* D (* D (* M M))) (/ 1/8 d)))
(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 M (.f64 M (*.f64 D D))) d)))
(sqrt (/ h (* l (* l l))))
(sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))
(/ h (* l (* l l)))
(/.f64 h (.f64 l (.f64 l l)))
h
(* l (* l l))
(.f64 l (.f64 l l))
l
(* l l)
(*.f64 l l)
(* (* D (* D (* M M))) (/ 1/8 d))
(.f64 #s(literal 1/8 binary64) (/.f64 (.f64 M (.f64 M (.f64 D D))) d))
(* D (* D (* M M)))
(.f64 M (.f64 M (*.f64 D D)))
D
(* D (* M M))
(.f64 M (.f64 M D))
(* M M)
(*.f64 M M)
M
(/ 1/8 d)
(/.f64 #s(literal 1/8 binary64) d)
1/8
#s(literal 1/8 binary64)
d
(/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt d)) (sqrt h))
(.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) h) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (sqrt.f64 d)) (sqrt.f64 h)))
(* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt d))
(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (fma.f64 (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) h) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (sqrt.f64 d)))
(* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1))
(.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) h) (.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(/ d l)
(/.f64 d l)
d
l
(+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)
(fma.f64 (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) h) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) #s(literal 1 binary64))
(/ (* M (* D (* M D))) (* (* d d) 4))
(/.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 d (*.f64 d #s(literal 4 binary64))))
(* M (* D (* M D)))
(.f64 M (.f64 M (*.f64 D D)))
M
(* D (* M D))
(.f64 M (.f64 D D))
D
(* M D)
(*.f64 M D)
(* (* d d) 4)
(.f64 d (.f64 d #s(literal 4 binary64)))
(* d d)
(*.f64 d d)
4
#s(literal 4 binary64)
(* -1/2 (/ h l))
(/.f64 (*.f64 h #s(literal -1/2 binary64)) l)
-1/2
#s(literal -1/2 binary64)
(/ h l)
(/.f64 h l)
h
1
#s(literal 1 binary64)
(sqrt d)
(sqrt.f64 d)
(sqrt h)
(sqrt.f64 h)
(/ (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (pow (/ h l) 3/2)))) h)
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) d))) h)
(+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (pow (/ h l) 3/2))))
(fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) d)))
d
(sqrt (/ h l))
(sqrt.f64 (/.f64 h l))
(/ h l)
(/.f64 h l)
h
l
(* (* D (/ (* D (* M M)) d)) (* -1/8 (pow (/ h l) 3/2)))
(.f64 (.f64 M (.f64 M (.f64 D D))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) d))
(* D (/ (* D (* M M)) d))
(/.f64 (.f64 M (.f64 M (*.f64 D D))) d)
D
(/ (* D (* M M)) d)
(/.f64 (.f64 M (.f64 M D)) d)
(* D (* M M))
(.f64 M (.f64 M D))
(* M M)
(*.f64 M M)
M
(* -1/8 (pow (/ h l) 3/2))
(*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)))
-1/8
#s(literal -1/8 binary64)
(pow (/ h l) 3/2)
(pow.f64 (/.f64 h l) #s(literal 3/2 binary64))
3/2
#s(literal 3/2 binary64)

localize219.0ms (1%)

Memory

21.0MiB live, 407.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	93.6%	(.f64 D (.f64 M M))
✓	accuracy	92.3%	(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))))) h)
✓	accuracy	92.1%	(.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))))
✓	accuracy	87.4%	(sqrt.f64 (/.f64 h l))
✓	accuracy	96.9%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 h))
✓	accuracy	92.4%	(fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))
✓	accuracy	88.0%	(/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (*.f64 d d) #s(literal 4 binary64)))
✓	accuracy	86.2%	(sqrt.f64 (/.f64 d l))
✓	accuracy	95.9%	(/.f64 h (.f64 l (.f64 l l)))
✓	accuracy	93.6%	(.f64 D (.f64 M M))
✓	accuracy	90.1%	(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
✓	accuracy	84.3%	(sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))
✓	accuracy	100.0%	(*.f64 h l)
✓	accuracy	99.8%	(/.f64 d (sqrt.f64 (*.f64 h l)))
✓	accuracy	86.2%	(sqrt.f64 (*.f64 h l))
✓	accuracy	94.4%	(/.f64 d (*.f64 M D))
✓	accuracy	94.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d)) #s(literal 1 binary64)) (.f64 l (.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D)))))))
✓	accuracy	87.7%	(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
✓	accuracy	86.1%	(sqrt.f64 (/.f64 l d))

Samples

68.0ms	136×	0	valid
58.0ms	120×	0	invalid

Compiler

Compiled 565 to 71 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-mult: 36.0ms (40.1% of total)

ival-div: 26.0ms (28.9% of total)

ival-pow: 13.0ms (14.5% of total)

ival-sqrt: 11.0ms (12.2% of total)

ival-add: 2.0ms (2.2% of total)

ival-sub: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series55.0ms (0.3%)

Memory

20.2MiB live, 99.8MiB allocated

Counts

26 → 1 020

Calls

Call 1

Inputs
#<alt (pow (/ d h) (/ 1 2))>
#<alt (/ (* (* h (/ (* 1/2 (* M D)) d)) 1) (* l (* 4 (/ d (* M D)))))>
#<alt (/ 1 2)>
#<alt (- 1 (/ (* (* h (/ (* 1/2 (* M D)) d)) 1) (* l (* 4 (/ d (* M D))))))>
#<alt (/ d (sqrt (* h l)))>
#<alt (sqrt (* h l))>
#<alt (* h l)>
#<alt (* (sqrt (/ h (* l (* l l)))) (* (* D (* D (* M M))) (/ 1/8 d)))>
#<alt (sqrt (/ h (* l (* l l))))>
#<alt (/ h (* l (* l l)))>
#<alt (* l (* l l))>
#<alt (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)>
#<alt (/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt d)) (sqrt h))>
#<alt (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt d))>
#<alt (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1))>
#<alt (/ (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (pow (/ h l) 3/2)))) h)>
#<alt (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (pow (/ h l) 3/2))))>
#<alt (sqrt (/ h l))>
#<alt (/ h l)>
#<alt (sqrt (/ l d))>
#<alt (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (/ (* (* h (/ (* 1/2 (* M D)) d)) 1) (* l (* 4 (/ d (* M D)))))))>
#<alt (/ d (* M D))>
#<alt (* D (* M M))>
#<alt (sqrt (/ d l))>
#<alt (/ (* M (* D (* M D))) (* (* d d) 4))>
#<alt (* (* D (/ (* D (* M M)) d)) (* -1/8 (pow (/ h l) 3/2)))>

Outputs
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (sqrt (/ d h))>
#<alt (* (sqrt (/ d h)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d h)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d h)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d h)) (pow (sqrt -1) 2))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))>
#<alt (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))>
#<alt (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))>
#<alt (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))>
#<alt (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))>
#<alt (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))>
#<alt (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))>
#<alt (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))>
#<alt (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))>
#<alt (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))>
#<alt (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))>
#<alt (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))>
#<alt (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))>
#<alt (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))>
#<alt (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)>
#<alt (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)>
#<alt (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (sqrt (* h l))>
#<alt (sqrt (* h l))>
#<alt (sqrt (* h l))>
#<alt (sqrt (* h l))>
#<alt (sqrt (* h l))>
#<alt (sqrt (* h l))>
#<alt (sqrt (* h l))>
#<alt (sqrt (* h l))>
#<alt (* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))>
#<alt (sqrt (* h l))>
#<alt (sqrt (* h l))>
#<alt (sqrt (* h l))>
#<alt (sqrt (* h l))>
#<alt (sqrt (* h l))>
#<alt (sqrt (* h l))>
#<alt (sqrt (* h l))>
#<alt (sqrt (* h l))>
#<alt (* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2)))>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* h l)>
#<alt (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))>
#<alt (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))>
#<alt (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))>
#<alt (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))>
#<alt (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))>
#<alt (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))>
#<alt (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))>
#<alt (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))>
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#<alt (sqrt (/ d l))>
#<alt (sqrt (/ d l))>
#<alt (* (sqrt (/ d l)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d l)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d l)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ d l)) (pow (sqrt -1) 2))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))>
#<alt (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))>

Calls

255 calls:

Time	Variable		Point	Expression
5.0ms	d	@	inf	(* (sqrt (/ h (* l (* l l)))) (* (* D (* D (* M M))) (/ 1/8 d)))
3.0ms	M	@	inf	(* D (* M M))
1.0ms	D	@	0	(* (sqrt (/ h (* l (* l l)))) (* (* D (* D (* M M))) (/ 1/8 d)))
1.0ms	d	@	0	(* (sqrt (/ h (* l (* l l)))) (* (* D (* D (* M M))) (/ 1/8 d)))
1.0ms	h	@	0	(* (sqrt (/ h (* l (* l l)))) (* (* D (* D (* M M))) (/ 1/8 d)))

rewrite355.0ms (1.6%)

Memory

10.4MiB live, 678.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 064×	`-lowering-.f32`
6 064×	`-lowering-.f64`
4 472×	`/-lowering-/.f32`
4 472×	`/-lowering-/.f64`
2 034×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	334
1	326	313
2	2436	302
0	8864	296

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 781

Calls

Call 1

Inputs
(pow (/ d h) (/ 1 2))
(/ (* (* h (/ (* 1/2 (* M D)) d)) 1) (* l (* 4 (/ d (* M D)))))
(/ 1 2)
(- 1 (/ (* (* h (/ (* 1/2 (* M D)) d)) 1) (* l (* 4 (/ d (* M D))))))
(/ d (sqrt (* h l)))
(sqrt (* h l))
(* h l)
(* (sqrt (/ h (* l (* l l)))) (* (* D (* D (* M M))) (/ 1/8 d)))
(sqrt (/ h (* l (* l l))))
(/ h (* l (* l l)))
(* l (* l l))
(+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)
(/ (* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt d)) (sqrt h))
(* (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt d))
(* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1))
(/ (+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (pow (/ h l) 3/2)))) h)
(+ (* d (sqrt (/ h l))) (* (* D (/ (* D (* M M)) d)) (* -1/8 (pow (/ h l) 3/2))))
(sqrt (/ h l))
(/ h l)
(sqrt (/ l d))
(* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (/ (* (* h (/ (* 1/2 (* M D)) d)) 1) (* l (* 4 (/ d (* M D)))))))
(/ d (* M D))
(* D (* M M))
(sqrt (/ d l))
(/ (* M (* D (* M D))) (* (* d d) 4))
(* (* D (/ (* D (* M M)) d)) (* -1/8 (pow (/ h l) 3/2)))

Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d h))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d h) (/.f64 d h))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 d) #s(literal 1/2 binary64)) (.f64 (log.f64 h) #s(literal 1/2 binary64))))
(sqrt.f64 (/.f64 d h))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 h d) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
(/.f64 (neg.f64 (sqrt.f64 d)) (-.f64 #s(literal 0 binary64) (sqrt.f64 h)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 h d))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) h))))
(/.f64 (sqrt.f64 (*.f64 d #s(literal 1 binary64))) (sqrt.f64 h))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) h))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 d))) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 h))))
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64))
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 d h) (/.f64 d h)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (/.f64 h d)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d h)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))
(*.f64 (sqrt.f64 (/.f64 d h)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 h)))
(*.f64 (sqrt.f64 d) (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 d))
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) h)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) h))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 d h)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 l #s(literal 4 binary64)) d) (.f64 M D)) (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D)))) d)) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)) (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (*.f64 l d)))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 (.f64 l #s(literal 4 binary64)) d) (.f64 M D)) (.f64 h (.f64 #s(literal 1/2 binary64) (*.f64 M D)))) d))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (/.f64 d (.f64 M D))) (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 l d))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 l #s(literal 4 binary64)) d) (.f64 M D)) (.f64 h (.f64 #s(literal 1/2 binary64) (*.f64 M D)))) d))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 M D) d) h)) (/.f64 (.f64 (.f64 l #s(literal 4 binary64)) d) (.f64 M D)))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 l #s(literal 4 binary64)) d) (.f64 M D)) (.f64 h (.f64 #s(literal 1/2 binary64) (*.f64 M D)))) d)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 #s(literal 4 binary64) (/.f64 d (.f64 M D))) (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 l d)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 M D) d) h))) (.f64 (.f64 #s(literal 4 binary64) (/.f64 d (.f64 M D))) (-.f64 #s(literal 0 binary64) l)))
(/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 (/.f64 (.f64 (.f64 l #s(literal 4 binary64)) d) (*.f64 M D)) d))
(/.f64 (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 l d)) (.f64 #s(literal 4 binary64) (/.f64 d (.f64 M D))))
(/.f64 (.f64 (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 l d)) #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D))))
(/.f64 (.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) #s(literal 1 binary64)) (.f64 d (/.f64 (.f64 (.f64 l #s(literal 4 binary64)) d) (.f64 M D))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 M D) d) h)))) (neg.f64 (.f64 (.f64 #s(literal 4 binary64) (/.f64 d (.f64 M D))) (-.f64 #s(literal 0 binary64) l))))
(/.f64 (neg.f64 (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 l d))) (neg.f64 (.f64 #s(literal 4 binary64) (/.f64 d (.f64 M D)))))
(/.f64 (neg.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D)))) (neg.f64 (.f64 (/.f64 (.f64 (.f64 l #s(literal 4 binary64)) d) (*.f64 M D)) d)))
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 M D) d) h)) (.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D)))) l)
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 M D) d) h)) (.f64 l #s(literal 4 binary64))) (/.f64 d (*.f64 M D)))
(/.f64 (.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (/.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)) l)) d)
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 M D) d) h)) (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64))) l)
(/.f64 (/.f64 (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 l d)) #s(literal 4 binary64)) (/.f64 d (*.f64 M D)))
(/.f64 (/.f64 (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 l d)) (/.f64 d (*.f64 M D))) #s(literal 4 binary64))
(/.f64 (neg.f64 (.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) #s(literal 1 binary64))) (neg.f64 (.f64 d (/.f64 (.f64 (.f64 l #s(literal 4 binary64)) d) (.f64 M D)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 M D) d) h))))) (neg.f64 (neg.f64 (.f64 (.f64 #s(literal 4 binary64) (/.f64 d (.f64 M D))) (-.f64 #s(literal 0 binary64) l)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 l d)))) (neg.f64 (neg.f64 (.f64 #s(literal 4 binary64) (/.f64 d (.f64 M D))))))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 l d)) #s(literal 1 binary64))) (neg.f64 (.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D)))))
(/.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 M D) d) h)) (.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D))))) (-.f64 #s(literal 0 binary64) l))
(/.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 M D) d) h)) (.f64 l #s(literal 4 binary64)))) (neg.f64 (/.f64 d (*.f64 M D))))
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(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 l d))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 l d))))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 d)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 l)))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 d)) (sqrt.f64 l))
(/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 l))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 l d))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) l))))
(/.f64 (sqrt.f64 (*.f64 d #s(literal 1 binary64))) (sqrt.f64 l))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) l))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 d))) (neg.f64 (neg.f64 (sqrt.f64 l))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 d))) (neg.f64 (sqrt.f64 l)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 l)))
(pow.f64 (/.f64 d l) #s(literal 1/2 binary64))
(pow.f64 (/.f64 l d) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 l d)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 l d)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 d l) (/.f64 d l)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 l d)) (sqrt.f64 (/.f64 l d))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 d l))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d l)))
(*.f64 (sqrt.f64 (/.f64 d l)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 l)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 d))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (pow.f64 (/.f64 #s(literal 1 binary64) d) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 d)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) l)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) l))))
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 d l)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 d l)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) l)) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) d)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) d) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 l)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) d)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) d)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) l) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 d l) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 d l) #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) d)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D (.f64 M (.f64 M D))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 (*.f64 d d) #s(literal -4 binary64))))
(neg.f64 (/.f64 (.f64 (.f64 M D) (.f64 D (neg.f64 M))) (.f64 #s(literal 4 binary64) (*.f64 d d))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D (.f64 M (*.f64 M D)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D (.f64 M (*.f64 M D)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 d d))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D (.f64 M (*.f64 M D)))))))
(/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 #s(literal 4 binary64) (*.f64 d d)))
(/.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) d) (.f64 d #s(literal 4 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D (.f64 M (*.f64 M D))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D (.f64 M (*.f64 M D)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 4 binary64) (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 d d)))))
(/.f64 (.f64 (.f64 M D) (.f64 D (neg.f64 M))) (.f64 (*.f64 d d) #s(literal -4 binary64)))
(/.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 d d)) #s(literal 4 binary64))
(/.f64 (neg.f64 (.f64 (.f64 M D) (.f64 D (neg.f64 M)))) (neg.f64 (.f64 (*.f64 d d) #s(literal -4 binary64))))
(/.f64 (neg.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 d d))) #s(literal -4 binary64))
(/.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) #s(literal 4 binary64)) (.f64 d d))
(/.f64 (neg.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) d)) (neg.f64 (.f64 d #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (.f64 d d)))
(/.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 M (.f64 D D))) #s(literal 4 binary64))
(/.f64 (.f64 M (.f64 (.f64 M (.f64 D D)) #s(literal 1/4 binary64))) (*.f64 d d))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 M D) (.f64 D (neg.f64 M))))) (neg.f64 (neg.f64 (.f64 (*.f64 d d) #s(literal -4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 d d)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) #s(literal 4 binary64))) (neg.f64 (.f64 d d)))
(/.f64 (neg.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) #s(literal 1 binary64))) (.f64 (.f64 d d) #s(literal -4 binary64)))
(/.f64 (neg.f64 (.f64 (/.f64 M (.f64 d d)) (.f64 M (.f64 D D)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (.f64 M (.f64 (.f64 M (.f64 D D)) #s(literal 1/4 binary64)))) (neg.f64 (*.f64 d d)))
(pow.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D (.f64 M (*.f64 M D)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) (.f64 D (.f64 M (*.f64 M D)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (/.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 d d))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (.f64 M (.f64 D D)) (.f64 M (/.f64 #s(literal 1/4 binary64) (.f64 d d)))))
(.f64 M (/.f64 (.f64 M (.f64 D D)) (.f64 #s(literal 4 binary64) (*.f64 d d))))
(.f64 (.f64 M D) (.f64 (.f64 M D) (/.f64 #s(literal 1/4 binary64) (*.f64 d d))))
(.f64 (.f64 M D) (/.f64 (.f64 M D) (.f64 #s(literal 4 binary64) (*.f64 d d))))
(.f64 (.f64 M (.f64 D D)) (.f64 M (/.f64 #s(literal 1/4 binary64) (*.f64 d d))))
(.f64 (.f64 M (.f64 D D)) (/.f64 M (.f64 #s(literal 4 binary64) (*.f64 d d))))
(.f64 (.f64 D (.f64 M (.f64 M D))) (/.f64 #s(literal 1/4 binary64) (*.f64 d d)))
(.f64 (.f64 (.f64 M D) (.f64 D (neg.f64 M))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 d d) #s(literal -4 binary64))))
(.f64 (/.f64 M (.f64 d d)) (.f64 (.f64 M (*.f64 D D)) #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 M (.f64 D D)) #s(literal 1/4 binary64)) (/.f64 M (*.f64 d d)))
(.f64 (/.f64 (.f64 M D) d) (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)))
(.f64 (/.f64 (.f64 M D) d) (/.f64 (.f64 M D) (.f64 d #s(literal 4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 (.f64 d #s(literal 4 binary64)) (.f64 D (.f64 M (*.f64 M D)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 d d)) (.f64 D (.f64 M (*.f64 M D))))
(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 d d)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 D (.f64 M (*.f64 M D)))) #s(literal -1 binary64)))
(.f64 #s(literal 1/4 binary64) (/.f64 (.f64 D (.f64 M (.f64 M D))) (*.f64 d d)))
(.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) (*.f64 d d)) #s(literal 1/4 binary64))
(.f64 (/.f64 (.f64 M (.f64 D D)) (.f64 #s(literal 4 binary64) (*.f64 d d))) M)
(.f64 (/.f64 (.f64 M D) (.f64 d d)) (/.f64 (.f64 M D) #s(literal 4 binary64)))
(.f64 (/.f64 (.f64 M D) #s(literal 4 binary64)) (/.f64 (.f64 M D) (.f64 d d)))
(.f64 (/.f64 M d) (/.f64 (.f64 M (.f64 D D)) (.f64 d #s(literal 4 binary64))))
(.f64 (/.f64 M #s(literal 4 binary64)) (/.f64 (.f64 M (.f64 D D)) (.f64 d d)))
(.f64 (/.f64 (.f64 M (.f64 D D)) (.f64 d d)) (/.f64 M #s(literal 4 binary64)))
(.f64 (/.f64 (.f64 M (.f64 D D)) d) (/.f64 M (.f64 d #s(literal 4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 d d)) (pow.f64 (/.f64 #s(literal 4 binary64) (.f64 D (.f64 M (*.f64 M D)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 d M) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d #s(literal 4 binary64)) (.f64 M (.f64 D D))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 d (.f64 M (.f64 D D))) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d #s(literal 4 binary64)) M) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) M) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d d) (.f64 M (.f64 D D))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 M (.f64 D D))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) M) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (.f64 M D)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d d) (.f64 M D)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 M D)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (.f64 M D)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))) (.f64 D (.f64 M (.f64 M D)))) d)
(/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))))) d)
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))) (.f64 D (.f64 M (.f64 M D))))) (-.f64 #s(literal 0 binary64) d))
(/.f64 (neg.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))))) (-.f64 #s(literal 0 binary64) d))
(.f64 D (.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))))))
(.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))))))
(.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) d) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))))
(.f64 #s(literal -1/8 binary64) (.f64 (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (/.f64 (.f64 D (.f64 M (.f64 M D))) d)))
(.f64 (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))) (.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D #s(literal -1/8 binary64))))
(.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))) (/.f64 (.f64 D (.f64 M (.f64 M D))) d))
(.f64 (.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D #s(literal -1/8 binary64))) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))))
(.f64 (.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))))) D)
(.f64 (.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) d) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))) #s(literal -1/8 binary64))
(.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))) D) (/.f64 (.f64 M (.f64 M D)) d))
(.f64 (.f64 (.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D #s(literal -1/8 binary64))) (pow.f64 (/.f64 h l) #s(literal 3/4 binary64))) (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)))

simplify531.0ms (2.5%)

Memory

-15.2MiB live, 965.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 408×	`-lowering-.f32`
8 408×	`-lowering-.f64`
5 640×	`accelerator-lowering-fma.f32`
5 640×	`accelerator-lowering-fma.f64`
3 404×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	363	16931
1	1094	16500
2	3950	16438
0	8166	16096

Stop Event

1×	iter limit
1×	node limit

Counts

1 020 → 1 020

Calls

Call 1

Inputs
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(sqrt (/ d h))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(sqrt (/ d l))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* (sqrt (/ d l)) (pow (sqrt -1) 2))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))
(* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))

Outputs
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d h)))
(* (sqrt (/ d h)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d h)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
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(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
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(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
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(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
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(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
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(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
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(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
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(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
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(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
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(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
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(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
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(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
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(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
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(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M M))) (.f64 d (*.f64 d l)))
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eval270.0ms (1.2%)

Memory: 17.4MiB live, 505.2MiB allocated
Compiler: Compiled 62 665 to 3 717 computations (94.1% saved)

prune265.0ms (1.2%)

Memory

12.8MiB live, 486.5MiB allocated

Pruning

58 alts after pruning (56 fresh and 2 done)

	Pruned	Kept	Total
New	1 913	28	1 941
Fresh	22	28	50
Picked	3	2	5
Done	1	0	1
Total	1 939	58	1 997

Accuracy

94.5%

Counts

1 997 → 58

Alt Table

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Status	Accuracy	Program
▶	24.0%	(fma.f64 (.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (.f64 h (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M (.f64 D (.f64 M D)))) (.f64 (.f64 d d) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) l) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
	3.7%	(fma.f64 h (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 l l)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h (.f64 l (.f64 h h))))) (-.f64 #s(literal 0 binary64) d) #s(literal 0 binary64))) #s(literal 0 binary64))
	27.6%	(fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) #s(literal 0 binary64))
	27.6%	(fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) #s(literal 0 binary64))
	28.0%	(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) #s(literal 1 binary64)) #s(literal 0 binary64)))
	26.1%	(fma.f64 d (exp.f64 (.f64 (log.f64 (.f64 h l)) #s(literal -1/2 binary64))) #s(literal 0 binary64))
	56.7%	(/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))))) (.f64 d (sqrt.f64 (/.f64 h l)))) h)
	57.1%	(/.f64 (fma.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) d) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))) (.f64 d (sqrt.f64 (/.f64 h l)))) h)
▶	9.6%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (fma.f64 d d #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 d (sqrt.f64 (.f64 h l))))
	58.6%	(/.f64 (fma.f64 (.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))))) D (.f64 d (sqrt.f64 (/.f64 h l)))) h)
	17.0%	(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) d)))) (*.f64 l l))
	59.9%	(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))))) d)) h)
	37.9%	(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 (/.f64 h l) (fma.f64 h h #s(literal 0 binary64))) (*.f64 l l)))))) h)
	34.9%	(/.f64 (/.f64 (.f64 (sqrt.f64 d) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) l))) (sqrt.f64 d))) (sqrt.f64 l)) (sqrt.f64 h))
	18.8%	(/.f64 (-.f64 (.f64 (.f64 d d) (/.f64 h l)) (.f64 (.f64 (/.f64 h l) (.f64 (/.f64 h l) (/.f64 h l))) (.f64 (.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D #s(literal -1/8 binary64))) (.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D #s(literal -1/8 binary64)))))) (.f64 h (-.f64 (.f64 d (sqrt.f64 (/.f64 h l))) (.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) d) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))))))))
	4.9%	(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
	5.1%	(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	31.7%	(/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 (-.f64 #s(literal 0 binary64) l))) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
	29.1%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 (/.f64 (.f64 M (.f64 D D)) d) (/.f64 M (.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
	38.2%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 (/.f64 (.f64 M D) d) (/.f64 (.f64 M D) (.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 h))
	29.4%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 #s(literal 1/4 binary64) (.f64 D D))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
▶	12.6%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (.f64 D D)) (.f64 d (*.f64 d l)))) (sqrt.f64 d)) (sqrt.f64 h))
	25.6%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
	16.8%	(/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d)
	22.9%	(/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M (*.f64 D D)))) d)) h)
	15.0%	(/.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (-.f64 #s(literal 0 binary64) d)) h)
	22.3%	(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
	3.6%	(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 h))
	36.5%	(/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h)
	24.9%	(/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) l))) (sqrt.f64 h))
	26.0%	(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
✓	27.3%	(/.f64 d (sqrt.f64 (*.f64 h l)))
	27.3%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))
	50.4%	(.f64 (fma.f64 (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 l d)) (neg.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d h) (/.f64 d l))))
	30.3%	(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	58.6%	(.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) d) (.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))))) (/.f64 #s(literal 1 binary64) h))
	27.3%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l))) d)
	28.7%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 (fma.f64 d d #s(literal 0 binary64)) (.f64 h l))))
	42.1%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) l))) (sqrt.f64 (.f64 (/.f64 d h) (/.f64 d l))))
	62.3%	(.f64 (.f64 (fma.f64 (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 l d)) (neg.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	53.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (/.f64 (/.f64 M d) (/.f64 d M)) (/.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) D)))) (/.f64 h l))))
	62.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 h l)) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d))))
	32.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) (.f64 d #s(literal 2 binary64))) (.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 h l)))))
	35.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) l)) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d)) #s(literal 1 binary64)) (.f64 l (.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D)))))))
	40.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (sqrt.f64 d)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d)) #s(literal 1 binary64)) (.f64 l (.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D)))))))
	56.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 h l))))
	46.5%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
	52.5%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	36.4%	(.f64 (.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) h)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d)) #s(literal 1 binary64)) (.f64 l (.f64 #s(literal 4 binary64) (/.f64 d (.f64 M D)))))))
	16.8%	(.f64 (.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
	50.2%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
▶	67.6%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d)) #s(literal 1 binary64)) (.f64 l (.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D)))))))
	16.4%	(.f64 (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l)) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
✓	15.6%	(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
	26.0%	(.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h))))
	27.0%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (-.f64 #s(literal 0 binary64) d))
	27.6%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d)
▶	26.1%	(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 h l)))))

Compiler

Compiled 3 564 to 2 230 computations (37.4% saved)

simplify217.0ms (1%)

Memory

2.7MiB live, 327.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))
✓	cost-diff	0	(.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (.f64 h (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M (.f64 D (.f64 M D)))) (.f64 (.f64 d d) #s(literal 4 binary64)))))
✓	cost-diff	320	(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M (.f64 D (.f64 M D)))) (.f64 (.f64 d d) #s(literal 4 binary64)))
✓	cost-diff	2688	(fma.f64 (.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (.f64 h (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M (.f64 D (.f64 M D)))) (.f64 (.f64 d d) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) l) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
✓	cost-diff	0	(sqrt.f64 (/.f64 d l))
✓	cost-diff	0	(.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (.f64 D D)) (.f64 d (.f64 d l))))
✓	cost-diff	0	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (.f64 D D)) (.f64 d (*.f64 d l)))) (sqrt.f64 d))
✓	cost-diff	384	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (.f64 D D)) (.f64 d (*.f64 d l)))) (sqrt.f64 d)) (sqrt.f64 h))
✓	cost-diff	0	(*.f64 h l)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 h l))
✓	cost-diff	384	(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (fma.f64 d d #s(literal 0 binary64)) #s(literal 0 binary64))
✓	cost-diff	1472	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (fma.f64 d d #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 d (sqrt.f64 (.f64 h l))))
✓	cost-diff	0	(sqrt.f64 (*.f64 h l))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 h l)))
✓	cost-diff	0	(/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 h l))))
✓	cost-diff	320	(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 h l)))))
✓	cost-diff	320	(.f64 (.f64 h (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d)) #s(literal 1 binary64))
✓	cost-diff	320	(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d)) #s(literal 1 binary64)) (.f64 l (.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D))))))
✓	cost-diff	320	(*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))))
✓	cost-diff	768	(/.f64 (.f64 (.f64 h (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d)) #s(literal 1 binary64)) (.f64 l (.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D)))))

Rules

9 138×	`-lowering-.f32`
9 138×	`-lowering-.f64`
2 322×	`/-lowering-/.f32`
2 322×	`/-lowering-/.f64`
1 988×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	556
1	195	532
2	816	519
3	6453	515
0	8166	512

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* (sqrt (/ d h)) (/ 1 (sqrt (/ l d)))) (- 1 (/ (* (* h (/ (* 1/2 (* M D)) d)) 1) (* l (* 4 (/ d (* M D)))))))
(* (sqrt (/ d h)) (/ 1 (sqrt (/ l d))))
(sqrt (/ d h))
(/ d h)
d
h
(/ 1 (sqrt (/ l d)))
1
(sqrt (/ l d))
(/ l d)
l
(- 1 (/ (* (* h (/ (* 1/2 (* M D)) d)) 1) (* l (* 4 (/ d (* M D))))))
(/ (* (* h (/ (* 1/2 (* M D)) d)) 1) (* l (* 4 (/ d (* M D)))))
(* (* h (/ (* 1/2 (* M D)) d)) 1)
(* h (/ (* 1/2 (* M D)) d))
(/ (* 1/2 (* M D)) d)
(* 1/2 (* M D))
1/2
(* M D)
M
D
(* l (* 4 (/ d (* M D))))
(* 4 (/ d (* M D)))
4
(/ d (* M D))
(neg (/ d (- 0 (sqrt (* h l)))))
(/ d (- 0 (sqrt (* h l))))
d
(- 0 (sqrt (* h l)))
0
(sqrt (* h l))
(* h l)
h
l
(/ (+ (* (/ 1 (* h l)) (+ (* d d) 0)) 0) (/ d (sqrt (* h l))))
(+ (* (/ 1 (* h l)) (+ (* d d) 0)) 0)
(/ 1 (* h l))
1
(* h l)
h
l
(+ (* d d) 0)
d
0
(/ d (sqrt (* h l)))
(sqrt (* h l))
(/ (* (* (sqrt (/ d l)) (/ (* (* (* -1/8 (* M M)) h) (* D D)) (* d (* d l)))) (sqrt d)) (sqrt h))
(* (* (sqrt (/ d l)) (/ (* (* (* -1/8 (* M M)) h) (* D D)) (* d (* d l)))) (sqrt d))
(* (sqrt (/ d l)) (/ (* (* (* -1/8 (* M M)) h) (* D D)) (* d (* d l))))
(sqrt (/ d l))
(/ d l)
d
l
(/ (* (* (* -1/8 (* M M)) h) (* D D)) (* d (* d l)))
(* (* (* -1/8 (* M M)) h) (* D D))
(* (* -1/8 (* M M)) h)
(* -1/8 (* M M))
-1/8
(* M M)
M
h
(* D D)
D
(* d (* d l))
(* d l)
(sqrt d)
(sqrt h)
(+ (* (* (sqrt (/ (* d d) (* h l))) (* h (/ (* -1/2 (* M (* D (* M D)))) (* (* d d) 4)))) (/ 1 l)) (sqrt (/ (* d d) (* h l))))
(* (sqrt (/ (* d d) (* h l))) (* h (/ (* -1/2 (* M (* D (* M D)))) (* (* d d) 4))))
(sqrt (/ (* d d) (* h l)))
(/ (* d d) (* h l))
(* d d)
d
(* h l)
h
l
(* h (/ (* -1/2 (* M (* D (* M D)))) (* (* d d) 4)))
(/ (* -1/2 (* M (* D (* M D)))) (* (* d d) 4))
(* -1/2 (* M (* D (* M D))))
-1/2
(* M (* D (* M D)))
M
(* D (* M D))
D
(* M D)
(* (* d d) 4)
4
(/ 1 l)
1

Outputs
(* (* (sqrt (/ d h)) (/ 1 (sqrt (/ l d)))) (- 1 (/ (* (* h (/ (* 1/2 (* M D)) d)) 1) (* l (* 4 (/ d (* M D)))))))
(.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (fma.f64 (.f64 D (.f64 M (.f64 M (*.f64 h #s(literal -1/8 binary64))))) (/.f64 D (fma.f64 l (fma.f64 d d #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 l d))))
(* (sqrt (/ d h)) (/ 1 (sqrt (/ l d))))
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))
(sqrt (/ d h))
(sqrt.f64 (/.f64 d h))
(/ d h)
(/.f64 d h)
d
h
(/ 1 (sqrt (/ l d)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))
1
#s(literal 1 binary64)
(sqrt (/ l d))
(sqrt.f64 (/.f64 l d))
(/ l d)
(/.f64 l d)
l
(- 1 (/ (* (* h (/ (* 1/2 (* M D)) d)) 1) (* l (* 4 (/ d (* M D))))))
(fma.f64 (.f64 D (.f64 M (.f64 M (.f64 h #s(literal -1/8 binary64))))) (/.f64 D (fma.f64 l (fma.f64 d d #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(/ (* (* h (/ (* 1/2 (* M D)) d)) 1) (* l (* 4 (/ d (* M D)))))
(.f64 (.f64 M D) (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 (.f64 d #s(literal 4 binary64)) (.f64 d l))))
(* (* h (/ (* 1/2 (* M D)) d)) 1)
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 h (*.f64 M D)) d))
(* h (/ (* 1/2 (* M D)) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 h (*.f64 M D)) d))
(/ (* 1/2 (* M D)) d)
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d)
(* 1/2 (* M D))
(.f64 #s(literal 1/2 binary64) (.f64 M D))
1/2
#s(literal 1/2 binary64)
(* M D)
(*.f64 M D)
M
D
(* l (* 4 (/ d (* M D))))
(.f64 #s(literal 4 binary64) (.f64 l (/.f64 d (*.f64 M D))))
(* 4 (/ d (* M D)))
(/.f64 (.f64 d #s(literal 4 binary64)) (.f64 M D))
4
#s(literal 4 binary64)
(/ d (* M D))
(/.f64 d (*.f64 M D))
(neg (/ d (- 0 (sqrt (* h l)))))
(/.f64 d (sqrt.f64 (*.f64 h l)))
(/ d (- 0 (sqrt (* h l))))
(/.f64 (-.f64 #s(literal 0 binary64) d) (sqrt.f64 (*.f64 h l)))
d
(- 0 (sqrt (* h l)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 h l)))
0
#s(literal 0 binary64)
(sqrt (* h l))
(sqrt.f64 (*.f64 h l))
(* h l)
(*.f64 h l)
h
l
(/ (+ (* (/ 1 (* h l)) (+ (* d d) 0)) 0) (/ d (sqrt (* h l))))
(.f64 (sqrt.f64 (.f64 h l)) (/.f64 d (*.f64 h l)))
(+ (* (/ 1 (* h l)) (+ (* d d) 0)) 0)
(fma.f64 d (/.f64 d (*.f64 h l)) #s(literal 0 binary64))
(/ 1 (* h l))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
1
#s(literal 1 binary64)
(* h l)
(*.f64 h l)
h
l
(+ (* d d) 0)
(fma.f64 d d #s(literal 0 binary64))
d
0
#s(literal 0 binary64)
(/ d (sqrt (* h l)))
(/.f64 d (sqrt.f64 (*.f64 h l)))
(sqrt (* h l))
(sqrt.f64 (*.f64 h l))
(/ (* (* (sqrt (/ d l)) (/ (* (* (* -1/8 (* M M)) h) (* D D)) (* d (* d l)))) (sqrt d)) (sqrt h))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (.f64 D (.f64 M (.f64 M (.f64 h #s(literal -1/8 binary64)))))) (.f64 D (sqrt.f64 d))) (.f64 (sqrt.f64 h) (fma.f64 l (fma.f64 d d #s(literal 0 binary64)) #s(literal 0 binary64))))
(* (* (sqrt (/ d l)) (/ (* (* (* -1/8 (* M M)) h) (* D D)) (* d (* d l)))) (sqrt d))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (.f64 D (.f64 M (.f64 M (.f64 h #s(literal -1/8 binary64)))))) (*.f64 D (sqrt.f64 d))) (fma.f64 l (fma.f64 d d #s(literal 0 binary64)) #s(literal 0 binary64)))
(* (sqrt (/ d l)) (/ (* (* (* -1/8 (* M M)) h) (* D D)) (* d (* d l))))
(.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (.f64 h (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M D))))) (fma.f64 l (fma.f64 d d #s(literal 0 binary64)) #s(literal 0 binary64))))
(sqrt (/ d l))
(sqrt.f64 (/.f64 d l))
(/ d l)
(/.f64 d l)
d
l
(/ (* (* (* -1/8 (* M M)) h) (* D D)) (* d (* d l)))
(/.f64 (.f64 h (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 M (*.f64 M D))))) (fma.f64 l (fma.f64 d d #s(literal 0 binary64)) #s(literal 0 binary64)))
(* (* (* -1/8 (* M M)) h) (* D D))
(.f64 h (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 M (*.f64 M D)))))
(* (* -1/8 (* M M)) h)
(.f64 M (.f64 M (*.f64 h #s(literal -1/8 binary64))))
(* -1/8 (* M M))
(.f64 M (.f64 M #s(literal -1/8 binary64)))
-1/8
#s(literal -1/8 binary64)
(* M M)
(*.f64 M M)
M
h
(* D D)
(*.f64 D D)
D
(* d (* d l))
(fma.f64 l (fma.f64 d d #s(literal 0 binary64)) #s(literal 0 binary64))
(* d l)
(*.f64 d l)
(sqrt d)
(sqrt.f64 d)
(sqrt h)
(sqrt.f64 h)
(+ (* (* (sqrt (/ (* d d) (* h l))) (* h (/ (* -1/2 (* M (* D (* M D)))) (* (* d d) 4)))) (/ 1 l)) (sqrt (/ (* d d) (* h l))))
(.f64 (fma.f64 (.f64 D (.f64 M (.f64 M (.f64 h #s(literal -1/8 binary64))))) (/.f64 D (fma.f64 l (fma.f64 d d #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 d (/.f64 d (.f64 h l)) #s(literal 0 binary64))))
(* (sqrt (/ (* d d) (* h l))) (* h (/ (* -1/2 (* M (* D (* M D)))) (* (* d d) 4))))
(.f64 (sqrt.f64 (fma.f64 d (/.f64 d (.f64 h l)) #s(literal 0 binary64))) (/.f64 (.f64 h (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 M (*.f64 M D))))) (fma.f64 d d #s(literal 0 binary64))))
(sqrt (/ (* d d) (* h l)))
(sqrt.f64 (fma.f64 d (/.f64 d (*.f64 h l)) #s(literal 0 binary64)))
(/ (* d d) (* h l))
(fma.f64 d (/.f64 d (*.f64 h l)) #s(literal 0 binary64))
(* d d)
(fma.f64 d d #s(literal 0 binary64))
d
(* h l)
(*.f64 h l)
h
l
(* h (/ (* -1/2 (* M (* D (* M D)))) (* (* d d) 4)))
(/.f64 (.f64 h (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 M (*.f64 M D))))) (fma.f64 d d #s(literal 0 binary64)))
(/ (* -1/2 (* M (* D (* M D)))) (* (* d d) 4))
(/.f64 (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M D)))) (fma.f64 d d #s(literal 0 binary64)))
(* -1/2 (* M (* D (* M D))))
(.f64 M (.f64 #s(literal -1/2 binary64) (.f64 M (.f64 D D))))
-1/2
#s(literal -1/2 binary64)
(* M (* D (* M D)))
(.f64 M (.f64 M (*.f64 D D)))
M
(* D (* M D))
(.f64 M (.f64 D D))
D
(* M D)
(*.f64 M D)
(* (* d d) 4)
(fma.f64 d (*.f64 d #s(literal 4 binary64)) #s(literal 0 binary64))
4
#s(literal 4 binary64)
(/ 1 l)
(/.f64 #s(literal 1 binary64) l)
1
#s(literal 1 binary64)

localize319.0ms (1.5%)

Memory

-71.3MiB live, 329.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	90.4%	(/.f64 (.f64 d d) (.f64 h l))
✓	accuracy	89.3%	(.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (.f64 h (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M (.f64 D (.f64 M D)))) (.f64 (.f64 d d) #s(literal 4 binary64)))))
✓	accuracy	87.4%	(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M (.f64 D (.f64 M D)))) (.f64 (.f64 d d) #s(literal 4 binary64)))
✓	accuracy	80.6%	(sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))
✓	accuracy	93.2%	(.f64 (.f64 #s(literal -1/8 binary64) (*.f64 M M)) h)
✓	accuracy	91.3%	(.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (*.f64 D D))
✓	accuracy	88.5%	(/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (.f64 D D)) (.f64 d (*.f64 d l)))
✓	accuracy	86.2%	(sqrt.f64 (/.f64 d l))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (*.f64 h l))
✓	accuracy	90.4%	(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)) (fma.f64 d d #s(literal 0 binary64)) #s(literal 0 binary64))
✓	accuracy	86.2%	(sqrt.f64 (*.f64 h l))
✓	accuracy	72.6%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (fma.f64 d d #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 d (sqrt.f64 (.f64 h l))))
✓	accuracy	100.0%	(*.f64 h l)
✓	accuracy	100.0%	(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 h l)))))
✓	accuracy	99.8%	(/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 h l))))
✓	accuracy	86.2%	(sqrt.f64 (*.f64 h l))
✓	accuracy	94.4%	(/.f64 d (*.f64 M D))
✓	accuracy	94.3%	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d)) #s(literal 1 binary64)) (.f64 l (.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D)))))))
✓	accuracy	87.7%	(sqrt.f64 (/.f64 d h))
✓	accuracy	86.1%	(sqrt.f64 (/.f64 l d))

Samples

66.0ms	136×	0	valid
58.0ms	120×	0	invalid

Compiler

Compiled 569 to 69 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-mult: 43.0ms (47.1% of total)

ival-div: 30.0ms (32.8% of total)

ival-sqrt: 11.0ms (12% of total)

ival-add: 3.0ms (3.3% of total)

ival-sub: 2.0ms (2.2% of total)

exact: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series93.0ms (0.4%)

Memory

34.5MiB live, 145.3MiB allocated

Counts

28 → 1 140

Calls

Call 1

Inputs
#<alt (/ (* (* h (/ (* 1/2 (* M D)) d)) 1) (* l (* 4 (/ d (* M D)))))>
#<alt (* (sqrt (/ d h)) (/ 1 (sqrt (/ l d))))>
#<alt (- 1 (/ (* (* h (/ (* 1/2 (* M D)) d)) 1) (* l (* 4 (/ d (* M D))))))>
#<alt (* (* h (/ (* 1/2 (* M D)) d)) 1)>
#<alt (neg (/ d (- 0 (sqrt (* h l)))))>
#<alt (/ d (- 0 (sqrt (* h l))))>
#<alt (- 0 (sqrt (* h l)))>
#<alt (sqrt (* h l))>
#<alt (/ (+ (* (/ 1 (* h l)) (+ (* d d) 0)) 0) (/ d (sqrt (* h l))))>
#<alt (+ (* (/ 1 (* h l)) (+ (* d d) 0)) 0)>
#<alt (/ 1 (* h l))>
#<alt (* h l)>
#<alt (/ (* (* (sqrt (/ d l)) (/ (* (* (* -1/8 (* M M)) h) (* D D)) (* d (* d l)))) (sqrt d)) (sqrt h))>
#<alt (* (* (sqrt (/ d l)) (/ (* (* (* -1/8 (* M M)) h) (* D D)) (* d (* d l)))) (sqrt d))>
#<alt (* (sqrt (/ d l)) (/ (* (* (* -1/8 (* M M)) h) (* D D)) (* d (* d l))))>
#<alt (sqrt (/ d l))>
#<alt (+ (* (* (sqrt (/ (* d d) (* h l))) (* h (/ (* -1/2 (* M (* D (* M D)))) (* (* d d) 4)))) (/ 1 l)) (sqrt (/ (* d d) (* h l))))>
#<alt (/ (* -1/2 (* M (* D (* M D)))) (* (* d d) 4))>
#<alt (* (sqrt (/ (* d d) (* h l))) (* h (/ (* -1/2 (* M (* D (* M D)))) (* (* d d) 4))))>
#<alt (sqrt (/ (* d d) (* h l)))>
#<alt (sqrt (/ l d))>
#<alt (sqrt (/ d h))>
#<alt (* (* (sqrt (/ d h)) (/ 1 (sqrt (/ l d)))) (- 1 (/ (* (* h (/ (* 1/2 (* M D)) d)) 1) (* l (* 4 (/ d (* M D)))))))>
#<alt (/ d (* M D))>
#<alt (/ (* (* (* -1/8 (* M M)) h) (* D D)) (* d (* d l)))>
#<alt (* (* (* -1/8 (* M M)) h) (* D D))>
#<alt (* (* -1/8 (* M M)) h)>
#<alt (/ (* d d) (* h l))>

Outputs
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* -1 (* d (sqrt (/ 1 (* h l)))))>
#<alt (* -1 (* d (sqrt (/ 1 (* h l)))))>
#<alt (* -1 (* d (sqrt (/ 1 (* h l)))))>
#<alt (* -1 (* d (sqrt (/ 1 (* h l)))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))>
#<alt (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))>
#<alt (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))>
#<alt (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt (* d (sqrt (/ 1 (* h l))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))>
#<alt (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))>
#<alt (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))>
#<alt (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))>
#<alt (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))>
#<alt (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))>
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#<alt (/ d (* D M))>
#<alt (/ d (* D M))>
#<alt (/ d (* D M))>
#<alt (/ d (* D M))>
#<alt (/ d (* D M))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* -1/8 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* -1/8 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* -1/8 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* -1/8 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* -1/8 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* -1/8 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* -1/8 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* -1/8 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* -1/8 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* -1/8 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* -1/8 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* -1/8 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* -1/8 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* -1/8 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* -1/8 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* -1/8 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* -1/8 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* -1/8 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* -1/8 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* -1/8 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* -1/8 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* -1/8 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* -1/8 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* -1/8 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* -1/8 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* -1/8 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* -1/8 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* -1/8 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* -1/8 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* -1/8 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* -1/8 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* -1/8 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* -1/8 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* -1/8 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* -1/8 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* -1/8 (* (pow M 2) h))>
#<alt (* -1/8 (* (pow M 2) h))>
#<alt (* -1/8 (* (pow M 2) h))>
#<alt (* -1/8 (* (pow M 2) h))>
#<alt (* -1/8 (* (pow M 2) h))>
#<alt (* -1/8 (* (pow M 2) h))>
#<alt (* -1/8 (* (pow M 2) h))>
#<alt (* -1/8 (* (pow M 2) h))>
#<alt (* -1/8 (* (pow M 2) h))>
#<alt (* -1/8 (* (pow M 2) h))>
#<alt (* -1/8 (* (pow M 2) h))>
#<alt (* -1/8 (* (pow M 2) h))>
#<alt (* -1/8 (* (pow M 2) h))>
#<alt (* -1/8 (* (pow M 2) h))>
#<alt (* -1/8 (* (pow M 2) h))>
#<alt (* -1/8 (* (pow M 2) h))>
#<alt (* -1/8 (* (pow M 2) h))>
#<alt (* -1/8 (* (pow M 2) h))>
#<alt (* -1/8 (* (pow M 2) h))>
#<alt (* -1/8 (* (pow M 2) h))>
#<alt (* -1/8 (* (pow M 2) h))>
#<alt (* -1/8 (* (pow M 2) h))>
#<alt (* -1/8 (* (pow M 2) h))>
#<alt (* -1/8 (* (pow M 2) h))>
#<alt (/ (pow d 2) (* h l))>
#<alt (/ (pow d 2) (* h l))>
#<alt (/ (pow d 2) (* h l))>
#<alt (/ (pow d 2) (* h l))>
#<alt (/ (pow d 2) (* h l))>
#<alt (/ (pow d 2) (* h l))>
#<alt (/ (pow d 2) (* h l))>
#<alt (/ (pow d 2) (* h l))>
#<alt (/ (pow d 2) (* h l))>
#<alt (/ (pow d 2) (* h l))>
#<alt (/ (pow d 2) (* h l))>
#<alt (/ (pow d 2) (* h l))>
#<alt (/ (pow d 2) (* h l))>
#<alt (/ (pow d 2) (* h l))>
#<alt (/ (pow d 2) (* h l))>
#<alt (/ (pow d 2) (* h l))>
#<alt (/ (pow d 2) (* h l))>
#<alt (/ (pow d 2) (* h l))>
#<alt (/ (pow d 2) (* h l))>
#<alt (/ (pow d 2) (* h l))>
#<alt (/ (pow d 2) (* h l))>
#<alt (/ (pow d 2) (* h l))>
#<alt (/ (pow d 2) (* h l))>
#<alt (/ (pow d 2) (* h l))>
#<alt (/ (pow d 2) (* h l))>
#<alt (/ (pow d 2) (* h l))>
#<alt (/ (pow d 2) (* h l))>
#<alt (/ (pow d 2) (* h l))>
#<alt (/ (pow d 2) (* h l))>
#<alt (/ (pow d 2) (* h l))>
#<alt (/ (pow d 2) (* h l))>
#<alt (/ (pow d 2) (* h l))>
#<alt (/ (pow d 2) (* h l))>
#<alt (/ (pow d 2) (* h l))>
#<alt (/ (pow d 2) (* h l))>
#<alt (/ (pow d 2) (* h l))>

Calls

285 calls:

Time	Variable		Point	Expression
12.0ms	d	@	0	(* (* (sqrt (/ d l)) (/ (* (* (* -1/8 (* M M)) h) (* D D)) (* d (* d l)))) (sqrt d))
4.0ms	D	@	0	(* (sqrt (/ d l)) (/ (* (* (* -1/8 (* M M)) h) (* D D)) (* d (* d l))))
2.0ms	h	@	-inf	(* (* -1/8 (* M M)) h)
2.0ms	d	@	-inf	(/ (* (* (sqrt (/ d l)) (/ (* (* (* -1/8 (* M M)) h) (* D D)) (* d (* d l)))) (sqrt d)) (sqrt h))
2.0ms	d	@	-inf	(* (* (sqrt (/ d l)) (/ (* (* (* -1/8 (* M M)) h) (* D D)) (* d (* d l)))) (sqrt d))

rewrite506.0ms (2.3%)

Memory

-8.1MiB live, 905.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 564×	`-lowering-.f32`
4 564×	`-lowering-.f64`
3 758×	`accelerator-lowering-fma.f32`
3 758×	`accelerator-lowering-fma.f64`
3 682×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	358
1	367	331
2	3603	321
0	8792	320

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 2 089

Calls

Call 1

Inputs
(/ (* (* h (/ (* 1/2 (* M D)) d)) 1) (* l (* 4 (/ d (* M D)))))
(* (sqrt (/ d h)) (/ 1 (sqrt (/ l d))))
(- 1 (/ (* (* h (/ (* 1/2 (* M D)) d)) 1) (* l (* 4 (/ d (* M D))))))
(* (* h (/ (* 1/2 (* M D)) d)) 1)
(neg (/ d (- 0 (sqrt (* h l)))))
(/ d (- 0 (sqrt (* h l))))
(- 0 (sqrt (* h l)))
(sqrt (* h l))
(/ (+ (* (/ 1 (* h l)) (+ (* d d) 0)) 0) (/ d (sqrt (* h l))))
(+ (* (/ 1 (* h l)) (+ (* d d) 0)) 0)
(/ 1 (* h l))
(* h l)
(/ (* (* (sqrt (/ d l)) (/ (* (* (* -1/8 (* M M)) h) (* D D)) (* d (* d l)))) (sqrt d)) (sqrt h))
(* (* (sqrt (/ d l)) (/ (* (* (* -1/8 (* M M)) h) (* D D)) (* d (* d l)))) (sqrt d))
(* (sqrt (/ d l)) (/ (* (* (* -1/8 (* M M)) h) (* D D)) (* d (* d l))))
(sqrt (/ d l))
(+ (* (* (sqrt (/ (* d d) (* h l))) (* h (/ (* -1/2 (* M (* D (* M D)))) (* (* d d) 4)))) (/ 1 l)) (sqrt (/ (* d d) (* h l))))
(/ (* -1/2 (* M (* D (* M D)))) (* (* d d) 4))
(* (sqrt (/ (* d d) (* h l))) (* h (/ (* -1/2 (* M (* D (* M D)))) (* (* d d) 4))))
(sqrt (/ (* d d) (* h l)))
(sqrt (/ l d))
(sqrt (/ d h))
(* (* (sqrt (/ d h)) (/ 1 (sqrt (/ l d)))) (- 1 (/ (* (* h (/ (* 1/2 (* M D)) d)) 1) (* l (* 4 (/ d (* M D)))))))
(/ d (* M D))
(/ (* (* (* -1/8 (* M M)) h) (* D D)) (* d (* d l)))
(* (* (* -1/8 (* M M)) h) (* D D))
(* (* -1/8 (* M M)) h)
(/ (* d d) (* h l))

Outputs
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (/.f64 (.f64 l (.f64 d #s(literal 4 binary64))) (.f64 M D)) (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D)))) d)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 4 binary64) (/.f64 d (.f64 M D))) (-.f64 #s(literal 0 binary64) l))) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 (/.f64 (.f64 l (.f64 d #s(literal 4 binary64))) (.f64 M D)) d))))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 (/.f64 (.f64 l (.f64 d #s(literal 4 binary64))) (*.f64 M D)) d))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (.f64 l (.f64 d #s(literal 4 binary64))) (.f64 M D)) (.f64 h (.f64 #s(literal 1/2 binary64) (*.f64 M D)))) d))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (/.f64 d (.f64 M D))) (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 d l))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 M D) d) h)) (/.f64 (.f64 l (.f64 d #s(literal 4 binary64))) (.f64 M D)))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 (/.f64 (.f64 l (.f64 d #s(literal 4 binary64))) (.f64 M D)) (.f64 h (.f64 #s(literal 1/2 binary64) (*.f64 M D)))) d)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 M D) d) h))) (.f64 (.f64 #s(literal 4 binary64) (/.f64 d (.f64 M D))) (-.f64 #s(literal 0 binary64) l)))
(/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 (/.f64 (.f64 l (.f64 d #s(literal 4 binary64))) (*.f64 M D)) d))
(/.f64 (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 d l)) (.f64 #s(literal 4 binary64) (/.f64 d (.f64 M D))))
(/.f64 (.f64 (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 d l)) #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D))))
(/.f64 (.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) #s(literal 1 binary64)) (.f64 d (/.f64 (.f64 l (.f64 d #s(literal 4 binary64))) (.f64 M D))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 M D) d) h)))) (neg.f64 (.f64 (.f64 #s(literal 4 binary64) (/.f64 d (.f64 M D))) (-.f64 #s(literal 0 binary64) l))))
(/.f64 (neg.f64 (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 d l))) (neg.f64 (.f64 #s(literal 4 binary64) (/.f64 d (.f64 M D)))))
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 M D) d) h)) (.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D)))) l)
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 M D) d) h)) (.f64 l #s(literal 4 binary64))) (/.f64 d (*.f64 M D)))
(/.f64 (.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (/.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)) l)) d)
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 M D) d) h)) (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64))) l)
(/.f64 (/.f64 (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 d l)) #s(literal 4 binary64)) (/.f64 d (*.f64 M D)))
(/.f64 (/.f64 (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 d l)) (/.f64 d (*.f64 M D))) #s(literal 4 binary64))
(pow.f64 (.f64 (/.f64 (/.f64 (.f64 l (.f64 d #s(literal 4 binary64))) (.f64 M D)) (.f64 h (.f64 #s(literal 1/2 binary64) (*.f64 M D)))) d) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 #s(literal 4 binary64) (/.f64 d (.f64 M D))) (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 d l))) #s(literal -1 binary64))
(.f64 h (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d) (/.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)) l)))
(.f64 h (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d) (/.f64 (.f64 l (.f64 d #s(literal 4 binary64))) (.f64 M D))))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d) (.f64 h (/.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)) l)))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d) (/.f64 h (/.f64 (.f64 l (.f64 d #s(literal 4 binary64))) (.f64 M D))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 (/.f64 (.f64 l (.f64 d #s(literal 4 binary64))) (.f64 M D)) d)))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 M D) d) h)) (/.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)) l))
(.f64 (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 (/.f64 (.f64 l (.f64 d #s(literal 4 binary64))) (.f64 M D)) d)) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 M D) d) h)) (.f64 #s(literal 4 binary64) (/.f64 d (.f64 M D)))))
(.f64 (/.f64 #s(literal 1 binary64) l) (pow.f64 (/.f64 (.f64 #s(literal 4 binary64) (/.f64 d (.f64 M D))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 M D) d) h))) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 M D) d) h))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D))) (-.f64 #s(literal 0 binary64) l))))
(.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)) (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (*.f64 d l)))
(.f64 (/.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)) l) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 M D) d) h)))
(.f64 (/.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64)) l) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 M D) d) h))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 d l)) (.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64)))
(.f64 (/.f64 h l) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d) (.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D)))))
(.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d) (.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D)))) (/.f64 h l))
(.f64 (/.f64 h (.f64 #s(literal 4 binary64) (/.f64 d (.f64 M D)))) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 M D)) d) l))
(.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d) l) (/.f64 h (.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D)))))
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(.f64 (pow.f64 (.f64 (fma.f64 d (/.f64 d (fma.f64 h l #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64)))) #s(literal 1/2 binary64)) d)
(.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))))) (fma.f64 d d #s(literal 0 binary64)))
(.f64 (sqrt.f64 (.f64 (/.f64 d h) (/.f64 d h))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d l))))
(.f64 (sqrt.f64 (.f64 (fma.f64 d (/.f64 d (fma.f64 h l #s(literal 0 binary64))) #s(literal 0 binary64)) d)) (sqrt.f64 (/.f64 d (fma.f64 h l #s(literal 0 binary64)))))
(.f64 (sqrt.f64 (.f64 (fma.f64 d (/.f64 d (fma.f64 h l #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (sqrt.f64 (.f64 (fma.f64 d (/.f64 d (fma.f64 h l #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))))) d)

simplify481.0ms (2.2%)

Memory

20.7MiB live, 797.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 656×	`-lowering-.f32`
7 656×	`-lowering-.f64`
3 862×	`/-lowering-/.f32`
3 862×	`/-lowering-/.f64`
3 312×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	187	15210
1	528	15064
2	1921	15040
3	4338	14879
0	8715	14759

Stop Event

1×	iter limit
1×	node limit

Counts

1 140 → 1 140

Calls

Call 1

Inputs
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* -1 (* d (sqrt (/ 1 (* h l)))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(* -1 (* d (sqrt (/ 1 (* h l)))))
(* d (sqrt (/ 1 (* h l))))
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(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
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(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
(* d (sqrt (/ 1 (* h l))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
(* 1/2 (/ (* D (* M h)) d))
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(* d (sqrt (/ 1 (* h l))))
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(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
(/ (pow d 2) (* h l))
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Outputs
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(.f64 h (.f64 (*.f64 M M) #s(literal -1/8 binary64)))
(* -1/8 (* (pow M 2) h))
(.f64 h (.f64 (*.f64 M M) #s(literal -1/8 binary64)))
(* -1/8 (* (pow M 2) h))
(.f64 h (.f64 (*.f64 M M) #s(literal -1/8 binary64)))
(* -1/8 (* (pow M 2) h))
(.f64 h (.f64 (*.f64 M M) #s(literal -1/8 binary64)))
(* -1/8 (* (pow M 2) h))
(.f64 h (.f64 (*.f64 M M) #s(literal -1/8 binary64)))
(* -1/8 (* (pow M 2) h))
(.f64 h (.f64 (*.f64 M M) #s(literal -1/8 binary64)))
(* -1/8 (* (pow M 2) h))
(.f64 h (.f64 (*.f64 M M) #s(literal -1/8 binary64)))
(* -1/8 (* (pow M 2) h))
(.f64 h (.f64 (*.f64 M M) #s(literal -1/8 binary64)))
(* -1/8 (* (pow M 2) h))
(.f64 h (.f64 (*.f64 M M) #s(literal -1/8 binary64)))
(* -1/8 (* (pow M 2) h))
(.f64 h (.f64 (*.f64 M M) #s(literal -1/8 binary64)))
(/ (pow d 2) (* h l))
(.f64 d (/.f64 d (.f64 h l)))
(/ (pow d 2) (* h l))
(.f64 d (/.f64 d (.f64 h l)))
(/ (pow d 2) (* h l))
(.f64 d (/.f64 d (.f64 h l)))
(/ (pow d 2) (* h l))
(.f64 d (/.f64 d (.f64 h l)))
(/ (pow d 2) (* h l))
(.f64 d (/.f64 d (.f64 h l)))
(/ (pow d 2) (* h l))
(.f64 d (/.f64 d (.f64 h l)))
(/ (pow d 2) (* h l))
(.f64 d (/.f64 d (.f64 h l)))
(/ (pow d 2) (* h l))
(.f64 d (/.f64 d (.f64 h l)))
(/ (pow d 2) (* h l))
(.f64 d (/.f64 d (.f64 h l)))
(/ (pow d 2) (* h l))
(.f64 d (/.f64 d (.f64 h l)))
(/ (pow d 2) (* h l))
(.f64 d (/.f64 d (.f64 h l)))
(/ (pow d 2) (* h l))
(.f64 d (/.f64 d (.f64 h l)))
(/ (pow d 2) (* h l))
(.f64 d (/.f64 d (.f64 h l)))
(/ (pow d 2) (* h l))
(.f64 d (/.f64 d (.f64 h l)))
(/ (pow d 2) (* h l))
(.f64 d (/.f64 d (.f64 h l)))
(/ (pow d 2) (* h l))
(.f64 d (/.f64 d (.f64 h l)))
(/ (pow d 2) (* h l))
(.f64 d (/.f64 d (.f64 h l)))
(/ (pow d 2) (* h l))
(.f64 d (/.f64 d (.f64 h l)))
(/ (pow d 2) (* h l))
(.f64 d (/.f64 d (.f64 h l)))
(/ (pow d 2) (* h l))
(.f64 d (/.f64 d (.f64 h l)))
(/ (pow d 2) (* h l))
(.f64 d (/.f64 d (.f64 h l)))
(/ (pow d 2) (* h l))
(.f64 d (/.f64 d (.f64 h l)))
(/ (pow d 2) (* h l))
(.f64 d (/.f64 d (.f64 h l)))
(/ (pow d 2) (* h l))
(.f64 d (/.f64 d (.f64 h l)))
(/ (pow d 2) (* h l))
(.f64 d (/.f64 d (.f64 h l)))
(/ (pow d 2) (* h l))
(.f64 d (/.f64 d (.f64 h l)))
(/ (pow d 2) (* h l))
(.f64 d (/.f64 d (.f64 h l)))
(/ (pow d 2) (* h l))
(.f64 d (/.f64 d (.f64 h l)))
(/ (pow d 2) (* h l))
(.f64 d (/.f64 d (.f64 h l)))
(/ (pow d 2) (* h l))
(.f64 d (/.f64 d (.f64 h l)))
(/ (pow d 2) (* h l))
(.f64 d (/.f64 d (.f64 h l)))
(/ (pow d 2) (* h l))
(.f64 d (/.f64 d (.f64 h l)))
(/ (pow d 2) (* h l))
(.f64 d (/.f64 d (.f64 h l)))
(/ (pow d 2) (* h l))
(.f64 d (/.f64 d (.f64 h l)))
(/ (pow d 2) (* h l))
(.f64 d (/.f64 d (.f64 h l)))
(/ (pow d 2) (* h l))
(.f64 d (/.f64 d (.f64 h l)))

eval752.0ms (3.5%)

Memory: 56.3MiB live, 1 067.5MiB allocated
Compiler: Compiled 139 506 to 6 734 computations (95.2% saved)

prune746.0ms (3.4%)

Memory

-26.6MiB live, 1 532.6MiB allocated

Pruning

72 alts after pruning (69 fresh and 3 done)

	Pruned	Kept	Total
New	4 066	36	4 102
Fresh	18	33	51
Picked	4	1	5
Done	0	2	2
Total	4 088	72	4 160

Accuracy

95.2%

Counts

4 160 → 72

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.4%	(fma.f64 (.f64 (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))) (.f64 h (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M (.f64 D (.f64 M D)))) (.f64 (.f64 d d) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) l) (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))
	33.2%	(fma.f64 (.f64 (fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))) (.f64 h (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 M (.f64 D (.f64 M D)))) (.f64 (.f64 d d) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) l) (sqrt.f64 (/.f64 (.f64 d d) (.f64 h l))))
	39.1%	(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 M M) d) (sqrt.f64 (/.f64 h l))))) (/.f64 #s(literal 1 binary64) l) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	27.6%	(fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) #s(literal 0 binary64))
	26.1%	(fma.f64 d (exp.f64 (.f64 (log.f64 (.f64 h l)) #s(literal -1/2 binary64))) #s(literal 0 binary64))
	56.7%	(/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))))) (.f64 d (sqrt.f64 (/.f64 h l)))) h)
	58.6%	(/.f64 (fma.f64 (.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))))) D (.f64 d (sqrt.f64 (/.f64 h l)))) h)
	9.1%	(/.f64 (fma.f64 (exp.f64 (.f64 (log.f64 (fma.f64 h l #s(literal 0 binary64))) #s(literal -1 binary64))) (fma.f64 d d #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 d (sqrt.f64 (.f64 h l))))
	17.0%	(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) d)))) (*.f64 l l))
	59.9%	(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))))) d)) h)
	37.9%	(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 (/.f64 h l) (fma.f64 h h #s(literal 0 binary64))) (*.f64 l l)))))) h)
	15.8%	(/.f64 (fma.f64 d d #s(literal 0 binary64)) (sqrt.f64 (*.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 d d #s(literal 0 binary64)))))
	10.0%	(/.f64 (/.f64 (fma.f64 d d #s(literal 0 binary64)) h) (*.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))) l))
	10.5%	(/.f64 (/.f64 d (.f64 (/.f64 h d) l)) (/.f64 d (sqrt.f64 (.f64 h l))))
	18.8%	(/.f64 (-.f64 (.f64 (.f64 d d) (/.f64 h l)) (.f64 (.f64 (/.f64 h l) (.f64 (/.f64 h l) (/.f64 h l))) (.f64 (.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D #s(literal -1/8 binary64))) (.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D #s(literal -1/8 binary64)))))) (.f64 h (-.f64 (.f64 d (sqrt.f64 (/.f64 h l))) (.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) d) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))))))))
	3.6%	(/.f64 (.f64 (pow.f64 (/.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 d (.f64 d (fma.f64 d d #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 d d #s(literal 0 binary64)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
	4.9%	(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
	5.1%	(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
	29.1%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 (/.f64 (.f64 M (.f64 D D)) d) (/.f64 M (.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
	29.4%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 #s(literal 1/4 binary64) (.f64 D D))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
	14.2%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (.f64 (.f64 (.f64 M (.f64 M #s(literal -1/8 binary64))) (.f64 h D)) D) (.f64 d (*.f64 d l)))) (sqrt.f64 d)) (sqrt.f64 h))
	22.3%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (.f64 M M) (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))))) (sqrt.f64 (/.f64 d h))) (.f64 d (*.f64 d l)))
	12.1%	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (.f64 M M) (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))))) (sqrt.f64 d)) (.f64 (.f64 d (.f64 d l)) (sqrt.f64 h)))
	16.8%	(/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d)
	22.9%	(/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M (*.f64 D D)))) d)) h)
	15.0%	(/.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (-.f64 #s(literal 0 binary64) d)) h)
	3.6%	(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 h))
	5.7%	(/.f64 (.f64 d (fma.f64 d d #s(literal 0 binary64))) (sqrt.f64 (.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 d (*.f64 d (fma.f64 d d #s(literal 0 binary64))) #s(literal 0 binary64)))))
	10.7%	(/.f64 (.f64 d (/.f64 d (.f64 h l))) (/.f64 d (sqrt.f64 (*.f64 h l))))
	36.5%	(/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h)
	13.7%	(/.f64 (sqrt.f64 (.f64 (fma.f64 d (.f64 d (fma.f64 d d #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))))) d)
	19.4%	(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
	20.1%	(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (.f64 (/.f64 h d) (-.f64 #s(literal 0 binary64) l))))
	26.0%	(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
✓	27.3%	(/.f64 d (sqrt.f64 (*.f64 h l)))
	27.3%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))
	25.0%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (fma.f64 d d #s(literal 0 binary64)) h))))
	50.4%	(.f64 (fma.f64 (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 l d)) (neg.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d h) (/.f64 d l))))
	30.3%	(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
	58.6%	(.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) d) (.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))))) (/.f64 #s(literal 1 binary64) h))
	43.2%	(.f64 (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d)) #s(literal 1 binary64)) (.f64 l (.f64 #s(literal 4 binary64) (/.f64 d (.f64 M D)))))))
	14.4%	(.f64 (/.f64 (.f64 (.f64 M M) (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D)))) (.f64 d (.f64 d l))) (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))
	31.7%	(.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d)) #s(literal 1 binary64)) (.f64 l (.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D)))))))
	20.2%	(*.f64 (/.f64 d (fma.f64 h l #s(literal 0 binary64))) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))
	39.5%	(.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 (/.f64 (.f64 l (.f64 d #s(literal 4 binary64))) (.f64 M D)) d))))
	14.5%	(.f64 (/.f64 d h) (.f64 (/.f64 d l) (/.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))) d)))
	27.3%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l))) d)
	28.7%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 (fma.f64 d d #s(literal 0 binary64)) (.f64 h l))))
	42.1%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) l))) (sqrt.f64 (.f64 (/.f64 d h) (/.f64 d l))))
	53.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (/.f64 (/.f64 M d) (/.f64 d M)) (/.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) D)))) (/.f64 h l))))
	62.3%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 h l)) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d))))
	56.9%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 h l))))
	20.1%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))) d) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))
	52.5%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
	16.8%	(.f64 (.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
	66.9%	(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d)) #s(literal 1 binary64)) (.f64 l (.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D)))))))
	36.3%	(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (-.f64 #s(literal 0 binary64) d)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d)) #s(literal 1 binary64)) (.f64 l (.f64 #s(literal 4 binary64) (/.f64 d (.f64 M D)))))))
	41.0%	(.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d)) #s(literal 1 binary64)) (.f64 l (.f64 #s(literal 4 binary64) (/.f64 d (.f64 M D)))))))
	16.4%	(.f64 (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l)) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
✓	15.6%	(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
	39.1%	(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
	27.0%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (-.f64 #s(literal 0 binary64) d))
	27.6%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d)
	73.7%	(.f64 (fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d)) #s(literal 1 binary64)) (.f64 l (.f64 #s(literal 4 binary64) (/.f64 d (.f64 M D)))))))
	16.9%	(.f64 d (.f64 (/.f64 d (fma.f64 h l #s(literal 0 binary64))) (/.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))) d)))
	29.5%	(sqrt.f64 (fma.f64 d (/.f64 d (fma.f64 h l #s(literal 0 binary64))) #s(literal 0 binary64)))
	26.0%	(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))))))
✓	26.1%	(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 h l)))))
	19.5%	(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 h l #s(literal 0 binary64))))))))
	17.8%	(neg.f64 (/.f64 d (.f64 (.f64 (fma.f64 h l #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))))))
	17.4%	(neg.f64 (.f64 (/.f64 d (.f64 (fma.f64 h l #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))) (fma.f64 h l #s(literal 0 binary64))))
	43.5%	(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))

Compiler

Compiled 5 807 to 1 880 computations (67.6% saved)

regimes362.0ms (1.7%)

Memory

24.1MiB live, 491.5MiB allocated

Counts

143 → 2

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 h l)))
(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 h l)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d)
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l))) d)
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) #s(literal 0 binary64))
(fma.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) #s(literal 0 binary64))
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(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 (.f64 h (fma.f64 h h #s(literal 0 binary64))) l)) (sqrt.f64 (*.f64 l l)))))) h)
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d)) #s(literal 1 binary64)) (.f64 l (.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D)))))))
(/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 (-.f64 #s(literal 0 binary64) l))) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
(.f64 (.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) h)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d)) #s(literal 1 binary64)) (.f64 l (.f64 #s(literal 4 binary64) (/.f64 d (.f64 M D)))))))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))))) h)
(/.f64 (.f64 (pow.f64 (/.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 d (.f64 d (fma.f64 d d #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 d d #s(literal 0 binary64)))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 (/.f64 h l)) #s(literal 3 binary64))))) h)
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 l h)) #s(literal 3 binary64)))))) h)
(fma.f64 d (exp.f64 (.f64 (log.f64 (.f64 h l)) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (fma.f64 (/.f64 (.f64 h (.f64 M D)) (.f64 d (.f64 #s(literal 2 binary64) l))) (.f64 (/.f64 (.f64 M D) d) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) (.f64 d #s(literal 2 binary64))) (.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 h l)))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) (.f64 d #s(literal 2 binary64))) (.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 h l)))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d)) #s(literal 1 binary64)) (.f64 l (.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D)))))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) (.f64 d #s(literal 2 binary64))) (.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 h l)))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (sqrt.f64 d)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d)) #s(literal 1 binary64)) (.f64 l (.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D)))))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) h)) (sqrt.f64 (-.f64 #s(literal 0 binary64) d)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (/.f64 M d) (.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 M D)) d)))) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) l)) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d)) #s(literal 1 binary64)) (.f64 l (.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D)))))))
(/.f64 (-.f64 (.f64 (.f64 d d) (/.f64 h l)) (.f64 (.f64 (/.f64 h l) (.f64 (/.f64 h l) (/.f64 h l))) (.f64 (.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D #s(literal -1/8 binary64))) (.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D #s(literal -1/8 binary64)))))) (.f64 h (-.f64 (.f64 d (sqrt.f64 (/.f64 h l))) (.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) d) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))))))))
(/.f64 (fma.f64 (exp.f64 (.f64 (log.f64 (fma.f64 h l #s(literal 0 binary64))) #s(literal -1 binary64))) (fma.f64 d d #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 d (sqrt.f64 (.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/8 binary64) (.f64 h (.f64 M M)))) (.f64 d (*.f64 d l)))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) (*.f64 d d))))
(.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 h l)) (.f64 (/.f64 D d) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 M D) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 M D)))) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) (.f64 d (.f64 d #s(literal -2 binary64))))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) (.f64 d #s(literal 2 binary64))) (.f64 (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 h l)))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 M D) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 h l))) (.f64 d (/.f64 d (.f64 (*.f64 M D) #s(literal 1/2 binary64)))))))
(.f64 (.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 M d) (/.f64 M d)) (.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 D #s(literal 1/2 binary64))))) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (/.f64 M d) (.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 (.f64 M D) (*.f64 d #s(literal 2 binary64)))))) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (/.f64 (/.f64 M d) (/.f64 #s(literal 2 binary64) D)) (/.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 d M)))) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (/.f64 (/.f64 M d) (/.f64 d M)) (/.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) D)))) (/.f64 h l))))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (exp.f64 (-.f64 (.f64 (log.f64 h) #s(literal 3 binary64)) (*.f64 (log.f64 l) #s(literal 3 binary64)))))))) h)
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Outputs

(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) d)) #s(literal 1 binary64)) (*.f64 l (*.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D)))))))

(*.f64 (fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) d)) #s(literal 1 binary64)) (*.f64 l (*.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D)))))))

Calls

7 calls:

69.0ms	D
61.0ms	d
56.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
44.0ms	l
42.0ms	M

Results

Accuracy	Segments	Branch
82.4%	3	`d`
79.6%	2	`h`
79.6%	2	`l`
73.7%	1	`M`
77.2%	3	`D`
81.8%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
73.7%	1	`(*.f64 M D)`

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes366.0ms (1.7%)

Memory

-292.1MiB live, 226.7MiB allocated

Counts

86 → 3

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 h l)))
(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 h l)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d)
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l))) d)
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) #s(literal 0 binary64))
(fma.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) #s(literal 0 binary64))
(sqrt.f64 (fma.f64 d (/.f64 d (fma.f64 h l #s(literal 0 binary64))) #s(literal 0 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (-.f64 #s(literal 0 binary64) d))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (-.f64 #s(literal 0 binary64) d) #s(literal 0 binary64))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))
(/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h)
(*.f64 (/.f64 d (fma.f64 h l #s(literal 0 binary64))) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))
(fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) #s(literal 0 binary64))
(fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) #s(literal 0 binary64))
(/.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (-.f64 #s(literal 0 binary64) d)) h)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))) d) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))
(/.f64 (fma.f64 d d #s(literal 0 binary64)) (sqrt.f64 (*.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 d d #s(literal 0 binary64)))))
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) l))) (sqrt.f64 h))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 d (sqrt.f64 (*.f64 h l)))))
(fma.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (fma.f64 d d #s(literal 0 binary64)) h))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 h))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 h l #s(literal 0 binary64))))))))
(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
(neg.f64 (.f64 (/.f64 d (.f64 (fma.f64 h l #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))) (fma.f64 h l #s(literal 0 binary64))))
(.f64 d (.f64 (/.f64 d (fma.f64 h l #s(literal 0 binary64))) (/.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))) d)))
(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (.f64 (/.f64 h d) (-.f64 #s(literal 0 binary64) l))))
(/.f64 (.f64 d (/.f64 d (.f64 h l))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (/.f64 d h) (.f64 (/.f64 d l) (/.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))) d)))
(/.f64 (sqrt.f64 (.f64 (fma.f64 d (.f64 d (fma.f64 d d #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))))) d)
(/.f64 (.f64 d (fma.f64 d d #s(literal 0 binary64))) (sqrt.f64 (.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 d (*.f64 d (fma.f64 d d #s(literal 0 binary64))) #s(literal 0 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
(/.f64 (/.f64 (fma.f64 d d #s(literal 0 binary64)) h) (*.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))) l))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
(/.f64 (/.f64 d (.f64 (/.f64 h d) l)) (/.f64 d (sqrt.f64 (.f64 h l))))
(neg.f64 (/.f64 d (.f64 (.f64 (fma.f64 h l #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (fma.f64 d d #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 d (sqrt.f64 (.f64 h l))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))
(/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d)
(fma.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))))))
(.f64 (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l)) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(.f64 (/.f64 (.f64 (.f64 M M) (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D)))) (.f64 d (.f64 d l))) (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))
(.f64 (.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M (*.f64 D D)))) d)) h)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 (fma.f64 d d #s(literal 0 binary64)) (.f64 h l))))
(.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 (/.f64 (.f64 l (.f64 d #s(literal 4 binary64))) (.f64 M D)) d))))
(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) l))) (sqrt.f64 (.f64 (/.f64 d h) (/.f64 d l))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (.f64 M M) (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))))) (sqrt.f64 (/.f64 d h))) (.f64 d (*.f64 d l)))
(.f64 (fma.f64 (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 l d)) (neg.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d h) (/.f64 d l))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (.f64 M M) (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))))) (sqrt.f64 d)) (.f64 (.f64 d (.f64 d l)) (sqrt.f64 h)))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) (sqrt.f64 (.f64 h l))) (/.f64 (.f64 D D) d)))) (*.f64 l l))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) d)))) (*.f64 l l))
(.f64 (fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d)) #s(literal 1 binary64)) (.f64 l (.f64 #s(literal 4 binary64) (/.f64 d (.f64 M D)))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 M M) d) (sqrt.f64 (/.f64 h l))))) (/.f64 #s(literal 1 binary64) l) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d)) #s(literal 1 binary64)) (.f64 l (.f64 #s(literal 4 binary64) (/.f64 d (.f64 M D)))))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (.f64 D D)) (.f64 d (*.f64 d l)))) (sqrt.f64 d)) (sqrt.f64 h))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (.f64 (.f64 (.f64 M (.f64 M #s(literal -1/8 binary64))) (.f64 h D)) D) (.f64 d (*.f64 d l)))) (sqrt.f64 d)) (sqrt.f64 h))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (-.f64 #s(literal 0 binary64) d)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d)) #s(literal 1 binary64)) (.f64 l (.f64 #s(literal 4 binary64) (/.f64 d (.f64 M D)))))))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))))) d)) h)
(/.f64 (fma.f64 (.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))))) D (.f64 d (sqrt.f64 (/.f64 h l)))) h)
(/.f64 (fma.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) d) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))) (.f64 d (sqrt.f64 (/.f64 h l)))) h)
(/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))))) (.f64 d (sqrt.f64 (/.f64 h l)))) h)
(.f64 (.f64 (fma.f64 (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 l d)) (neg.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h)
(.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) d) (.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
(/.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (fma.f64 h h #s(literal 0 binary64))) (.f64 l (.f64 l l)))))) d)) h)
(/.f64 (fma.f64 (.f64 (.f64 D (/.f64 (.f64 M M) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (fma.f64 h h #s(literal 0 binary64))) (.f64 l (.f64 l l)))))) D (.f64 d (sqrt.f64 (/.f64 h l)))) h)
(.f64 (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d)) #s(literal 1 binary64)) (.f64 l (.f64 #s(literal 4 binary64) (/.f64 d (.f64 M D)))))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 h))
(.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) d)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h))))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 (/.f64 h l) (fma.f64 h h #s(literal 0 binary64))) (*.f64 l l)))))) h)

Outputs

(*.f64 (fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) d)) #s(literal 1 binary64)) (*.f64 l (*.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D)))))))

(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 D (*.f64 M (*.f64 M D))) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))))) d)) h)

(*.f64 (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) d)) #s(literal 1 binary64)) (*.f64 l (*.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D)))))))

Calls

4 calls:

279.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
30.0ms	l
27.0ms	d
25.0ms	h

Results

Accuracy	Segments	Branch
79.0%	2	`l`
78.6%	2	`h`
81.0%	3	`d`
80.3%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes84.0ms (0.4%)

Memory

9.9MiB live, 165.7MiB allocated

Counts

81 → 3

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 h l)))
(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 h l)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d)
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l))) d)
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) #s(literal 0 binary64))
(fma.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) #s(literal 0 binary64))
(sqrt.f64 (fma.f64 d (/.f64 d (fma.f64 h l #s(literal 0 binary64))) #s(literal 0 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (-.f64 #s(literal 0 binary64) d))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (-.f64 #s(literal 0 binary64) d) #s(literal 0 binary64))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))
(/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h)
(*.f64 (/.f64 d (fma.f64 h l #s(literal 0 binary64))) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))
(fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) #s(literal 0 binary64))
(fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) #s(literal 0 binary64))
(/.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (-.f64 #s(literal 0 binary64) d)) h)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))) d) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))
(/.f64 (fma.f64 d d #s(literal 0 binary64)) (sqrt.f64 (*.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 d d #s(literal 0 binary64)))))
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) l))) (sqrt.f64 h))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 d (sqrt.f64 (*.f64 h l)))))
(fma.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (fma.f64 d d #s(literal 0 binary64)) h))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 h))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 h l #s(literal 0 binary64))))))))
(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
(neg.f64 (.f64 (/.f64 d (.f64 (fma.f64 h l #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))) (fma.f64 h l #s(literal 0 binary64))))
(.f64 d (.f64 (/.f64 d (fma.f64 h l #s(literal 0 binary64))) (/.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))) d)))
(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (.f64 (/.f64 h d) (-.f64 #s(literal 0 binary64) l))))
(/.f64 (.f64 d (/.f64 d (.f64 h l))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (/.f64 d h) (.f64 (/.f64 d l) (/.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))) d)))
(/.f64 (sqrt.f64 (.f64 (fma.f64 d (.f64 d (fma.f64 d d #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))))) d)
(/.f64 (.f64 d (fma.f64 d d #s(literal 0 binary64))) (sqrt.f64 (.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 d (*.f64 d (fma.f64 d d #s(literal 0 binary64))) #s(literal 0 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
(/.f64 (/.f64 (fma.f64 d d #s(literal 0 binary64)) h) (*.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))) l))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
(/.f64 (/.f64 d (.f64 (/.f64 h d) l)) (/.f64 d (sqrt.f64 (.f64 h l))))
(neg.f64 (/.f64 d (.f64 (.f64 (fma.f64 h l #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (fma.f64 d d #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 d (sqrt.f64 (.f64 h l))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))
(/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d)
(fma.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))))))
(.f64 (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l)) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(.f64 (/.f64 (.f64 (.f64 M M) (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D)))) (.f64 d (.f64 d l))) (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))
(.f64 (.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M (*.f64 D D)))) d)) h)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 (fma.f64 d d #s(literal 0 binary64)) (.f64 h l))))
(.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 (/.f64 (.f64 l (.f64 d #s(literal 4 binary64))) (.f64 M D)) d))))
(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) l))) (sqrt.f64 (.f64 (/.f64 d h) (/.f64 d l))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (.f64 M M) (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))))) (sqrt.f64 (/.f64 d h))) (.f64 d (*.f64 d l)))
(.f64 (fma.f64 (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 l d)) (neg.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d h) (/.f64 d l))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (.f64 M M) (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))))) (sqrt.f64 d)) (.f64 (.f64 d (.f64 d l)) (sqrt.f64 h)))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) (sqrt.f64 (.f64 h l))) (/.f64 (.f64 D D) d)))) (*.f64 l l))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) d)))) (*.f64 l l))
(.f64 (fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d)) #s(literal 1 binary64)) (.f64 l (.f64 #s(literal 4 binary64) (/.f64 d (.f64 M D)))))))
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (sqrt.f64 (/.f64 h (.f64 l (.f64 l l))))) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (.f64 (/.f64 (.f64 M M) d) (sqrt.f64 (/.f64 h l))))) (/.f64 #s(literal 1 binary64) l) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(.f64 (.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d)) #s(literal 1 binary64)) (.f64 l (.f64 #s(literal 4 binary64) (/.f64 d (.f64 M D)))))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) h) (.f64 D D)) (.f64 d (*.f64 d l)))) (sqrt.f64 d)) (sqrt.f64 h))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (.f64 (.f64 (.f64 M (.f64 M #s(literal -1/8 binary64))) (.f64 h D)) D) (.f64 d (*.f64 d l)))) (sqrt.f64 d)) (sqrt.f64 h))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (-.f64 #s(literal 0 binary64) d)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d)) #s(literal 1 binary64)) (.f64 l (.f64 #s(literal 4 binary64) (/.f64 d (.f64 M D)))))))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))))) d)) h)
(/.f64 (fma.f64 (.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))))) D (.f64 d (sqrt.f64 (/.f64 h l)))) h)
(/.f64 (fma.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) d) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))) (.f64 d (sqrt.f64 (/.f64 h l)))) h)
(/.f64 (fma.f64 (/.f64 (.f64 M (.f64 M D)) d) (.f64 D (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l))))) (.f64 d (sqrt.f64 (/.f64 h l)))) h)
(.f64 (.f64 (fma.f64 (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 l d)) (neg.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (*.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d)))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 D (.f64 M M)) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (*.f64 l l))))))) h)
(.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (.f64 D (.f64 M (.f64 M D))) d) (.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 h l) (sqrt.f64 (/.f64 h l)))))) (/.f64 #s(literal 1 binary64) h))
(/.f64 (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d)))
(/.f64 (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d)))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (fma.f64 h h #s(literal 0 binary64))) (.f64 l (.f64 l l)))))) d)) h)
(/.f64 (fma.f64 (.f64 (.f64 D (/.f64 (.f64 M M) d)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 h (fma.f64 h h #s(literal 0 binary64))) (.f64 l (.f64 l l)))))) D (.f64 d (sqrt.f64 (/.f64 h l)))) h)

Outputs

(*.f64 (fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) d)) #s(literal 1 binary64)) (*.f64 l (*.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D)))))))

(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))

(*.f64 (fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) d)) #s(literal 1 binary64)) (*.f64 l (*.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D)))))))

Calls

3 calls:

32.0ms

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

25.0ms

22.0ms

Results

Accuracy	Segments	Branch
80.3%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
75.3%	2	`l`
73.7%	1	`d`

Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes151.0ms (0.7%)

Memory

16.1MiB live, 247.9MiB allocated

Counts

59 → 4

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 h l)))
(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 h l)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d)
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l))) d)
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) #s(literal 0 binary64))
(fma.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) #s(literal 0 binary64))
(sqrt.f64 (fma.f64 d (/.f64 d (fma.f64 h l #s(literal 0 binary64))) #s(literal 0 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (-.f64 #s(literal 0 binary64) d))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (-.f64 #s(literal 0 binary64) d) #s(literal 0 binary64))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))
(/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h)
(*.f64 (/.f64 d (fma.f64 h l #s(literal 0 binary64))) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))
(fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) #s(literal 0 binary64))
(fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) #s(literal 0 binary64))
(/.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (-.f64 #s(literal 0 binary64) d)) h)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))) d) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))
(/.f64 (fma.f64 d d #s(literal 0 binary64)) (sqrt.f64 (*.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 d d #s(literal 0 binary64)))))
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) l))) (sqrt.f64 h))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 d (sqrt.f64 (*.f64 h l)))))
(fma.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (fma.f64 d d #s(literal 0 binary64)) h))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 h))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 h l #s(literal 0 binary64))))))))
(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
(neg.f64 (.f64 (/.f64 d (.f64 (fma.f64 h l #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))) (fma.f64 h l #s(literal 0 binary64))))
(.f64 d (.f64 (/.f64 d (fma.f64 h l #s(literal 0 binary64))) (/.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))) d)))
(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (.f64 (/.f64 h d) (-.f64 #s(literal 0 binary64) l))))
(/.f64 (.f64 d (/.f64 d (.f64 h l))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (/.f64 d h) (.f64 (/.f64 d l) (/.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))) d)))
(/.f64 (sqrt.f64 (.f64 (fma.f64 d (.f64 d (fma.f64 d d #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))))) d)
(/.f64 (.f64 d (fma.f64 d d #s(literal 0 binary64))) (sqrt.f64 (.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 d (*.f64 d (fma.f64 d d #s(literal 0 binary64))) #s(literal 0 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
(/.f64 (/.f64 (fma.f64 d d #s(literal 0 binary64)) h) (*.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))) l))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
(/.f64 (/.f64 d (.f64 (/.f64 h d) l)) (/.f64 d (sqrt.f64 (.f64 h l))))
(neg.f64 (/.f64 d (.f64 (.f64 (fma.f64 h l #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (fma.f64 d d #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 d (sqrt.f64 (.f64 h l))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))
(/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d)
(fma.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))))))
(.f64 (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l)) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(.f64 (/.f64 (.f64 (.f64 M M) (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D)))) (.f64 d (.f64 d l))) (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))
(.f64 (.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M (*.f64 D D)))) d)) h)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 (fma.f64 d d #s(literal 0 binary64)) (.f64 h l))))
(.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 (/.f64 (.f64 l (.f64 d #s(literal 4 binary64))) (.f64 M D)) d))))
(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) l))) (sqrt.f64 (.f64 (/.f64 d h) (/.f64 d l))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (.f64 M M) (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))))) (sqrt.f64 (/.f64 d h))) (.f64 d (*.f64 d l)))
(.f64 (fma.f64 (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 l d)) (neg.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d h) (/.f64 d l))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (.f64 M M) (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))))) (sqrt.f64 d)) (.f64 (.f64 d (.f64 d l)) (sqrt.f64 h)))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 M M) (sqrt.f64 (.f64 h l))) (/.f64 (.f64 D D) d)))) (*.f64 l l))
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (sqrt.f64 (.f64 h l)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (/.f64 (.f64 M M) d)))) (*.f64 l l))

Outputs
(.f64 (fma.f64 (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 l d)) (neg.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (sqrt.f64 (.f64 (/.f64 d h) (/.f64 d l))))
(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))

Calls

7 calls:

46.0ms	h
18.0ms	M
18.0ms	l
18.0ms	d
17.0ms	D

Results

Accuracy	Segments	Branch
62.4%	4	`(*.f64 M D)`
68.3%	4	`d`
57.5%	2	`M`
67.1%	4	`l`
56.5%	2	`D`
62.5%	2	`h`
70.1%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes20.0ms (0.1%)

Memory

3.1MiB live, 43.8MiB allocated

Counts

55 → 4

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 h l)))
(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 h l)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d)
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l))) d)
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) #s(literal 0 binary64))
(fma.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) #s(literal 0 binary64))
(sqrt.f64 (fma.f64 d (/.f64 d (fma.f64 h l #s(literal 0 binary64))) #s(literal 0 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (-.f64 #s(literal 0 binary64) d))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (-.f64 #s(literal 0 binary64) d) #s(literal 0 binary64))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))
(/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h)
(*.f64 (/.f64 d (fma.f64 h l #s(literal 0 binary64))) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))
(fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) #s(literal 0 binary64))
(fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) #s(literal 0 binary64))
(/.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (-.f64 #s(literal 0 binary64) d)) h)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))) d) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))
(/.f64 (fma.f64 d d #s(literal 0 binary64)) (sqrt.f64 (*.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 d d #s(literal 0 binary64)))))
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) l))) (sqrt.f64 h))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 d (sqrt.f64 (*.f64 h l)))))
(fma.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (fma.f64 d d #s(literal 0 binary64)) h))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 h))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 h l #s(literal 0 binary64))))))))
(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
(neg.f64 (.f64 (/.f64 d (.f64 (fma.f64 h l #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))) (fma.f64 h l #s(literal 0 binary64))))
(.f64 d (.f64 (/.f64 d (fma.f64 h l #s(literal 0 binary64))) (/.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))) d)))
(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (.f64 (/.f64 h d) (-.f64 #s(literal 0 binary64) l))))
(/.f64 (.f64 d (/.f64 d (.f64 h l))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (/.f64 d h) (.f64 (/.f64 d l) (/.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))) d)))
(/.f64 (sqrt.f64 (.f64 (fma.f64 d (.f64 d (fma.f64 d d #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))))) d)
(/.f64 (.f64 d (fma.f64 d d #s(literal 0 binary64))) (sqrt.f64 (.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 d (*.f64 d (fma.f64 d d #s(literal 0 binary64))) #s(literal 0 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
(/.f64 (/.f64 (fma.f64 d d #s(literal 0 binary64)) h) (*.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))) l))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
(/.f64 (/.f64 d (.f64 (/.f64 h d) l)) (/.f64 d (sqrt.f64 (.f64 h l))))
(neg.f64 (/.f64 d (.f64 (.f64 (fma.f64 h l #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (fma.f64 d d #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 d (sqrt.f64 (.f64 h l))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))
(/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d)
(fma.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))))))
(.f64 (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l)) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(.f64 (/.f64 (.f64 (.f64 M M) (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D)))) (.f64 d (.f64 d l))) (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))
(.f64 (.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M (*.f64 D D)))) d)) h)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 (fma.f64 d d #s(literal 0 binary64)) (.f64 h l))))
(.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 (/.f64 (.f64 l (.f64 d #s(literal 4 binary64))) (.f64 M D)) d))))
(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) l))) (sqrt.f64 (.f64 (/.f64 d h) (/.f64 d l))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (.f64 M M) (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))))) (sqrt.f64 (/.f64 d h))) (.f64 d (*.f64 d l)))

Outputs
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (.f64 M M) (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D))))) (sqrt.f64 (/.f64 d h))) (.f64 d (*.f64 d l)))
(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))

Calls

1 calls:

17.0ms

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
70.0%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 40 to 22 computations (45% saved)

regimes36.0ms (0.2%)

Memory

24.0MiB live, 94.9MiB allocated

Counts

54 → 4

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 h l)))
(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 h l)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d)
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l))) d)
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) #s(literal 0 binary64))
(fma.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) #s(literal 0 binary64))
(sqrt.f64 (fma.f64 d (/.f64 d (fma.f64 h l #s(literal 0 binary64))) #s(literal 0 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (-.f64 #s(literal 0 binary64) d))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (-.f64 #s(literal 0 binary64) d) #s(literal 0 binary64))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))
(/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h)
(*.f64 (/.f64 d (fma.f64 h l #s(literal 0 binary64))) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))
(fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) #s(literal 0 binary64))
(fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) #s(literal 0 binary64))
(/.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (-.f64 #s(literal 0 binary64) d)) h)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))) d) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))
(/.f64 (fma.f64 d d #s(literal 0 binary64)) (sqrt.f64 (*.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 d d #s(literal 0 binary64)))))
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) l))) (sqrt.f64 h))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 d (sqrt.f64 (*.f64 h l)))))
(fma.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (fma.f64 d d #s(literal 0 binary64)) h))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 h))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 h l #s(literal 0 binary64))))))))
(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
(neg.f64 (.f64 (/.f64 d (.f64 (fma.f64 h l #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))) (fma.f64 h l #s(literal 0 binary64))))
(.f64 d (.f64 (/.f64 d (fma.f64 h l #s(literal 0 binary64))) (/.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))) d)))
(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (.f64 (/.f64 h d) (-.f64 #s(literal 0 binary64) l))))
(/.f64 (.f64 d (/.f64 d (.f64 h l))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (/.f64 d h) (.f64 (/.f64 d l) (/.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))) d)))
(/.f64 (sqrt.f64 (.f64 (fma.f64 d (.f64 d (fma.f64 d d #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))))) d)
(/.f64 (.f64 d (fma.f64 d d #s(literal 0 binary64))) (sqrt.f64 (.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 d (*.f64 d (fma.f64 d d #s(literal 0 binary64))) #s(literal 0 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
(/.f64 (/.f64 (fma.f64 d d #s(literal 0 binary64)) h) (*.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))) l))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
(/.f64 (/.f64 d (.f64 (/.f64 h d) l)) (/.f64 d (sqrt.f64 (.f64 h l))))
(neg.f64 (/.f64 d (.f64 (.f64 (fma.f64 h l #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (fma.f64 d d #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 d (sqrt.f64 (.f64 h l))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))
(/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d)
(fma.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))))))
(.f64 (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l)) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(.f64 (/.f64 (.f64 (.f64 M M) (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D)))) (.f64 d (.f64 d l))) (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))
(.f64 (.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M (*.f64 D D)))) d)) h)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 (fma.f64 d d #s(literal 0 binary64)) (.f64 h l))))
(.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 (/.f64 (.f64 l (.f64 d #s(literal 4 binary64))) (.f64 M D)) d))))
(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) l))) (sqrt.f64 (.f64 (/.f64 d h) (/.f64 d l))))

Outputs
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 M D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal 4 binary64) (.f64 d d)) l))) (sqrt.f64 (.f64 (/.f64 d h) (/.f64 d l))))
(.f64 (.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 (/.f64 (.f64 l (.f64 d #s(literal 4 binary64))) (.f64 M D)) d))))

Calls

2 calls:

18.0ms

15.0ms

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
67.5%	4	`d`
65.7%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 46 to 27 computations (41.3% saved)

regimes26.0ms (0.1%)

Memory

-34.5MiB live, 59.7MiB allocated

Counts

53 → 4

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 h l)))
(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 h l)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d)
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l))) d)
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) #s(literal 0 binary64))
(fma.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) #s(literal 0 binary64))
(sqrt.f64 (fma.f64 d (/.f64 d (fma.f64 h l #s(literal 0 binary64))) #s(literal 0 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (-.f64 #s(literal 0 binary64) d))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (-.f64 #s(literal 0 binary64) d) #s(literal 0 binary64))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))
(/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h)
(*.f64 (/.f64 d (fma.f64 h l #s(literal 0 binary64))) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))
(fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) #s(literal 0 binary64))
(fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) #s(literal 0 binary64))
(/.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (-.f64 #s(literal 0 binary64) d)) h)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))) d) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))
(/.f64 (fma.f64 d d #s(literal 0 binary64)) (sqrt.f64 (*.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 d d #s(literal 0 binary64)))))
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) l))) (sqrt.f64 h))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 d (sqrt.f64 (*.f64 h l)))))
(fma.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (fma.f64 d d #s(literal 0 binary64)) h))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 h))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 h l #s(literal 0 binary64))))))))
(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
(neg.f64 (.f64 (/.f64 d (.f64 (fma.f64 h l #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))) (fma.f64 h l #s(literal 0 binary64))))
(.f64 d (.f64 (/.f64 d (fma.f64 h l #s(literal 0 binary64))) (/.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))) d)))
(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (.f64 (/.f64 h d) (-.f64 #s(literal 0 binary64) l))))
(/.f64 (.f64 d (/.f64 d (.f64 h l))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (/.f64 d h) (.f64 (/.f64 d l) (/.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))) d)))
(/.f64 (sqrt.f64 (.f64 (fma.f64 d (.f64 d (fma.f64 d d #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))))) d)
(/.f64 (.f64 d (fma.f64 d d #s(literal 0 binary64))) (sqrt.f64 (.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 d (*.f64 d (fma.f64 d d #s(literal 0 binary64))) #s(literal 0 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
(/.f64 (/.f64 (fma.f64 d d #s(literal 0 binary64)) h) (*.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))) l))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
(/.f64 (/.f64 d (.f64 (/.f64 h d) l)) (/.f64 d (sqrt.f64 (.f64 h l))))
(neg.f64 (/.f64 d (.f64 (.f64 (fma.f64 h l #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (fma.f64 d d #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 d (sqrt.f64 (.f64 h l))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))
(/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d)
(fma.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))))))
(.f64 (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l)) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(.f64 (/.f64 (.f64 (.f64 M M) (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D)))) (.f64 d (.f64 d l))) (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))
(.f64 (.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M (*.f64 D D)))) d)) h)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 (fma.f64 d d #s(literal 0 binary64)) (.f64 h l))))
(.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 (/.f64 (.f64 l (.f64 d #s(literal 4 binary64))) (.f64 M D)) d))))
(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))

Outputs
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
(.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (.f64 d d) (*.f64 h l))))
(.f64 (.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 (/.f64 (.f64 l (.f64 d #s(literal 4 binary64))) (.f64 M D)) d))))

Calls

1 calls:

22.0ms

Results

Accuracy	Segments	Branch
67.4%	4	`d`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes60.0ms (0.3%)

Memory

1.1MiB live, 79.0MiB allocated

Counts

52 → 4

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 h l)))
(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 h l)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d)
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l))) d)
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) #s(literal 0 binary64))
(fma.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) #s(literal 0 binary64))
(sqrt.f64 (fma.f64 d (/.f64 d (fma.f64 h l #s(literal 0 binary64))) #s(literal 0 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (-.f64 #s(literal 0 binary64) d))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (-.f64 #s(literal 0 binary64) d) #s(literal 0 binary64))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))
(/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h)
(*.f64 (/.f64 d (fma.f64 h l #s(literal 0 binary64))) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))
(fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) #s(literal 0 binary64))
(fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) #s(literal 0 binary64))
(/.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (-.f64 #s(literal 0 binary64) d)) h)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))) d) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))
(/.f64 (fma.f64 d d #s(literal 0 binary64)) (sqrt.f64 (*.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 d d #s(literal 0 binary64)))))
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) l))) (sqrt.f64 h))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 d (sqrt.f64 (*.f64 h l)))))
(fma.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (fma.f64 d d #s(literal 0 binary64)) h))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 h))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 h l #s(literal 0 binary64))))))))
(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
(neg.f64 (.f64 (/.f64 d (.f64 (fma.f64 h l #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))) (fma.f64 h l #s(literal 0 binary64))))
(.f64 d (.f64 (/.f64 d (fma.f64 h l #s(literal 0 binary64))) (/.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))) d)))
(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (.f64 (/.f64 h d) (-.f64 #s(literal 0 binary64) l))))
(/.f64 (.f64 d (/.f64 d (.f64 h l))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (/.f64 d h) (.f64 (/.f64 d l) (/.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))) d)))
(/.f64 (sqrt.f64 (.f64 (fma.f64 d (.f64 d (fma.f64 d d #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))))) d)
(/.f64 (.f64 d (fma.f64 d d #s(literal 0 binary64))) (sqrt.f64 (.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 d (*.f64 d (fma.f64 d d #s(literal 0 binary64))) #s(literal 0 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
(/.f64 (/.f64 (fma.f64 d d #s(literal 0 binary64)) h) (*.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))) l))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
(/.f64 (/.f64 d (.f64 (/.f64 h d) l)) (/.f64 d (sqrt.f64 (.f64 h l))))
(neg.f64 (/.f64 d (.f64 (.f64 (fma.f64 h l #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (fma.f64 d d #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 d (sqrt.f64 (.f64 h l))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))
(/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d)
(fma.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))))))
(.f64 (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l)) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(.f64 (/.f64 (.f64 (.f64 M M) (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D)))) (.f64 d (.f64 d l))) (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))
(.f64 (.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M (*.f64 D D)))) d)) h)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 (fma.f64 d d #s(literal 0 binary64)) (.f64 h l))))
(.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 (/.f64 (.f64 l (.f64 d #s(literal 4 binary64))) (.f64 M D)) d))))

Outputs
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 (fma.f64 d d #s(literal 0 binary64)) (.f64 h l))))
(.f64 (.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 h (.f64 #s(literal 1/2 binary64) (.f64 M D))) (.f64 (/.f64 (.f64 l (.f64 d #s(literal 4 binary64))) (.f64 M D)) d))))

Calls

2 calls:

42.0ms	l
15.0ms	d

Results

Accuracy	Segments	Branch
66.1%	4	`l`
67.0%	4	`d`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes76.0ms (0.4%)

Memory

8.8MiB live, 123.5MiB allocated

Counts

51 → 4

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 h l)))
(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 h l)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d)
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l))) d)
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) #s(literal 0 binary64))
(fma.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) #s(literal 0 binary64))
(sqrt.f64 (fma.f64 d (/.f64 d (fma.f64 h l #s(literal 0 binary64))) #s(literal 0 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (-.f64 #s(literal 0 binary64) d))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (-.f64 #s(literal 0 binary64) d) #s(literal 0 binary64))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))
(/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h)
(*.f64 (/.f64 d (fma.f64 h l #s(literal 0 binary64))) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))
(fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) #s(literal 0 binary64))
(fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) #s(literal 0 binary64))
(/.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (-.f64 #s(literal 0 binary64) d)) h)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))) d) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))
(/.f64 (fma.f64 d d #s(literal 0 binary64)) (sqrt.f64 (*.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 d d #s(literal 0 binary64)))))
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) l))) (sqrt.f64 h))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 d (sqrt.f64 (*.f64 h l)))))
(fma.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (fma.f64 d d #s(literal 0 binary64)) h))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 h))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 h l #s(literal 0 binary64))))))))
(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
(neg.f64 (.f64 (/.f64 d (.f64 (fma.f64 h l #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))) (fma.f64 h l #s(literal 0 binary64))))
(.f64 d (.f64 (/.f64 d (fma.f64 h l #s(literal 0 binary64))) (/.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))) d)))
(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (.f64 (/.f64 h d) (-.f64 #s(literal 0 binary64) l))))
(/.f64 (.f64 d (/.f64 d (.f64 h l))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (/.f64 d h) (.f64 (/.f64 d l) (/.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))) d)))
(/.f64 (sqrt.f64 (.f64 (fma.f64 d (.f64 d (fma.f64 d d #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))))) d)
(/.f64 (.f64 d (fma.f64 d d #s(literal 0 binary64))) (sqrt.f64 (.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 d (*.f64 d (fma.f64 d d #s(literal 0 binary64))) #s(literal 0 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
(/.f64 (/.f64 (fma.f64 d d #s(literal 0 binary64)) h) (*.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))) l))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
(/.f64 (/.f64 d (.f64 (/.f64 h d) l)) (/.f64 d (sqrt.f64 (.f64 h l))))
(neg.f64 (/.f64 d (.f64 (.f64 (fma.f64 h l #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (fma.f64 d d #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 d (sqrt.f64 (.f64 h l))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))
(/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d)
(fma.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))))))
(.f64 (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l)) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(.f64 (/.f64 (.f64 (.f64 M M) (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D)))) (.f64 d (.f64 d l))) (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))
(.f64 (.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M (*.f64 D D)))) d)) h)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 M (.f64 M (.f64 D D))) (.f64 h #s(literal -1/2 binary64))) (.f64 (.f64 d (.f64 d #s(literal 4 binary64))) l))) (sqrt.f64 (/.f64 (fma.f64 d d #s(literal 0 binary64)) (.f64 h l))))

Outputs
(/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 h (.f64 h h)) (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M (*.f64 D D)))) d)) h)
(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))

Calls

4 calls:

28.0ms	d
15.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
15.0ms	h
14.0ms	l

Results

Accuracy	Segments	Branch
51.8%	4	`h`
65.0%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
53.6%	3	`l`
58.5%	5	`d`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes30.0ms (0.1%)

Memory

7.6MiB live, 84.2MiB allocated

Counts

49 → 4

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 h l)))
(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 h l)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d)
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l))) d)
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) #s(literal 0 binary64))
(fma.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) #s(literal 0 binary64))
(sqrt.f64 (fma.f64 d (/.f64 d (fma.f64 h l #s(literal 0 binary64))) #s(literal 0 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (-.f64 #s(literal 0 binary64) d))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (-.f64 #s(literal 0 binary64) d) #s(literal 0 binary64))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))
(/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h)
(*.f64 (/.f64 d (fma.f64 h l #s(literal 0 binary64))) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))
(fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) #s(literal 0 binary64))
(fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) #s(literal 0 binary64))
(/.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (-.f64 #s(literal 0 binary64) d)) h)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))) d) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))
(/.f64 (fma.f64 d d #s(literal 0 binary64)) (sqrt.f64 (*.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 d d #s(literal 0 binary64)))))
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) l))) (sqrt.f64 h))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 d (sqrt.f64 (*.f64 h l)))))
(fma.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (fma.f64 d d #s(literal 0 binary64)) h))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 h))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 h l #s(literal 0 binary64))))))))
(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
(neg.f64 (.f64 (/.f64 d (.f64 (fma.f64 h l #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))) (fma.f64 h l #s(literal 0 binary64))))
(.f64 d (.f64 (/.f64 d (fma.f64 h l #s(literal 0 binary64))) (/.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))) d)))
(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (.f64 (/.f64 h d) (-.f64 #s(literal 0 binary64) l))))
(/.f64 (.f64 d (/.f64 d (.f64 h l))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (/.f64 d h) (.f64 (/.f64 d l) (/.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))) d)))
(/.f64 (sqrt.f64 (.f64 (fma.f64 d (.f64 d (fma.f64 d d #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))))) d)
(/.f64 (.f64 d (fma.f64 d d #s(literal 0 binary64))) (sqrt.f64 (.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 d (*.f64 d (fma.f64 d d #s(literal 0 binary64))) #s(literal 0 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
(/.f64 (/.f64 (fma.f64 d d #s(literal 0 binary64)) h) (*.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))) l))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
(/.f64 (/.f64 d (.f64 (/.f64 h d) l)) (/.f64 d (sqrt.f64 (.f64 h l))))
(neg.f64 (/.f64 d (.f64 (.f64 (fma.f64 h l #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (fma.f64 d d #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 d (sqrt.f64 (.f64 h l))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))
(/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d)
(fma.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) #s(literal -1/8 binary64)) d)) #s(literal 0 binary64))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))))))
(.f64 (sqrt.f64 (/.f64 (/.f64 h (.f64 l l)) l)) (.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(.f64 (/.f64 (.f64 (.f64 M M) (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D D)))) (.f64 d (.f64 d l))) (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))
(.f64 (.f64 (sqrt.f64 (/.f64 h l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))

Outputs
(/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (.f64 (.f64 M M) (sqrt.f64 (/.f64 h (.f64 l (*.f64 l l)))))) d)
(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))

Calls

2 calls:

14.0ms

(*.f64 M D)

13.0ms

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
54.6%	3	`(*.f64 M D)`
61.0%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 48 to 28 computations (41.7% saved)

regimes16.0ms (0.1%)

Memory

5.4MiB live, 46.8MiB allocated

Counts

43 → 4

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 h l)))
(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 h l)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d)
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l))) d)
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) #s(literal 0 binary64))
(fma.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) #s(literal 0 binary64))
(sqrt.f64 (fma.f64 d (/.f64 d (fma.f64 h l #s(literal 0 binary64))) #s(literal 0 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (-.f64 #s(literal 0 binary64) d))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (-.f64 #s(literal 0 binary64) d) #s(literal 0 binary64))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))
(/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h)
(*.f64 (/.f64 d (fma.f64 h l #s(literal 0 binary64))) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))
(fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) #s(literal 0 binary64))
(fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) #s(literal 0 binary64))
(/.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (-.f64 #s(literal 0 binary64) d)) h)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))) d) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))
(/.f64 (fma.f64 d d #s(literal 0 binary64)) (sqrt.f64 (*.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 d d #s(literal 0 binary64)))))
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) l))) (sqrt.f64 h))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 d (sqrt.f64 (*.f64 h l)))))
(fma.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (fma.f64 d d #s(literal 0 binary64)) h))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 h))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 h l #s(literal 0 binary64))))))))
(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
(neg.f64 (.f64 (/.f64 d (.f64 (fma.f64 h l #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))) (fma.f64 h l #s(literal 0 binary64))))
(.f64 d (.f64 (/.f64 d (fma.f64 h l #s(literal 0 binary64))) (/.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))) d)))
(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (.f64 (/.f64 h d) (-.f64 #s(literal 0 binary64) l))))
(/.f64 (.f64 d (/.f64 d (.f64 h l))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (/.f64 d h) (.f64 (/.f64 d l) (/.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))) d)))
(/.f64 (sqrt.f64 (.f64 (fma.f64 d (.f64 d (fma.f64 d d #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))))) d)
(/.f64 (.f64 d (fma.f64 d d #s(literal 0 binary64))) (sqrt.f64 (.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 d (*.f64 d (fma.f64 d d #s(literal 0 binary64))) #s(literal 0 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
(/.f64 (/.f64 (fma.f64 d d #s(literal 0 binary64)) h) (*.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))) l))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
(/.f64 (/.f64 d (.f64 (/.f64 h d) l)) (/.f64 d (sqrt.f64 (.f64 h l))))
(neg.f64 (/.f64 d (.f64 (.f64 (fma.f64 h l #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (fma.f64 d d #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 d (sqrt.f64 (.f64 h l))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))

Outputs
(.f64 (.f64 D D) (.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))
(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))

Calls

1 calls:

13.0ms

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
61.0%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 40 to 22 computations (45% saved)

regimes38.0ms (0.2%)

Memory

-2.4MiB live, 115.2MiB allocated

Counts

42 → 4

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 h l)))
(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 h l)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d)
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l))) d)
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) #s(literal 0 binary64))
(fma.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) #s(literal 0 binary64))
(sqrt.f64 (fma.f64 d (/.f64 d (fma.f64 h l #s(literal 0 binary64))) #s(literal 0 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (-.f64 #s(literal 0 binary64) d))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (-.f64 #s(literal 0 binary64) d) #s(literal 0 binary64))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))
(/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h)
(*.f64 (/.f64 d (fma.f64 h l #s(literal 0 binary64))) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))
(fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) #s(literal 0 binary64))
(fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) #s(literal 0 binary64))
(/.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (-.f64 #s(literal 0 binary64) d)) h)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))) d) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))
(/.f64 (fma.f64 d d #s(literal 0 binary64)) (sqrt.f64 (*.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 d d #s(literal 0 binary64)))))
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) l))) (sqrt.f64 h))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 d (sqrt.f64 (*.f64 h l)))))
(fma.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (fma.f64 d d #s(literal 0 binary64)) h))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 h))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 h l #s(literal 0 binary64))))))))
(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
(neg.f64 (.f64 (/.f64 d (.f64 (fma.f64 h l #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))) (fma.f64 h l #s(literal 0 binary64))))
(.f64 d (.f64 (/.f64 d (fma.f64 h l #s(literal 0 binary64))) (/.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))) d)))
(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (.f64 (/.f64 h d) (-.f64 #s(literal 0 binary64) l))))
(/.f64 (.f64 d (/.f64 d (.f64 h l))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (/.f64 d h) (.f64 (/.f64 d l) (/.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))) d)))
(/.f64 (sqrt.f64 (.f64 (fma.f64 d (.f64 d (fma.f64 d d #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))))) d)
(/.f64 (.f64 d (fma.f64 d d #s(literal 0 binary64))) (sqrt.f64 (.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 d (*.f64 d (fma.f64 d d #s(literal 0 binary64))) #s(literal 0 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
(/.f64 (/.f64 (fma.f64 d d #s(literal 0 binary64)) h) (*.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))) l))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
(/.f64 (/.f64 d (.f64 (/.f64 h d) l)) (/.f64 d (sqrt.f64 (.f64 h l))))
(neg.f64 (/.f64 d (.f64 (.f64 (fma.f64 h l #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (fma.f64 d d #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 d (sqrt.f64 (.f64 h l))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))

Outputs
(.f64 (sqrt.f64 (/.f64 h (.f64 l (.f64 l l)))) (.f64 (.f64 D (.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))
(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))

Calls

3 calls:

12.0ms

11.0ms

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
46.9%	2	`D`
50.4%	3	`M`
58.2%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes30.0ms (0.1%)

Memory

-17.6MiB live, 23.9MiB allocated

Counts

41 → 4

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 h l)))
(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 h l)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d)
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l))) d)
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) #s(literal 0 binary64))
(fma.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) #s(literal 0 binary64))
(sqrt.f64 (fma.f64 d (/.f64 d (fma.f64 h l #s(literal 0 binary64))) #s(literal 0 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (-.f64 #s(literal 0 binary64) d))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (-.f64 #s(literal 0 binary64) d) #s(literal 0 binary64))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))
(/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h)
(*.f64 (/.f64 d (fma.f64 h l #s(literal 0 binary64))) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))
(fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) #s(literal 0 binary64))
(fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) #s(literal 0 binary64))
(/.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (-.f64 #s(literal 0 binary64) d)) h)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))) d) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))
(/.f64 (fma.f64 d d #s(literal 0 binary64)) (sqrt.f64 (*.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 d d #s(literal 0 binary64)))))
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) l))) (sqrt.f64 h))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 d (sqrt.f64 (*.f64 h l)))))
(fma.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 (fma.f64 d d #s(literal 0 binary64)) h))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (-.f64 #s(literal 0 binary64) d)) (sqrt.f64 h))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 h l #s(literal 0 binary64))))))))
(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) l)))
(neg.f64 (.f64 (/.f64 d (.f64 (fma.f64 h l #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))) (fma.f64 h l #s(literal 0 binary64))))
(.f64 d (.f64 (/.f64 d (fma.f64 h l #s(literal 0 binary64))) (/.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))) d)))
(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (.f64 (/.f64 h d) (-.f64 #s(literal 0 binary64) l))))
(/.f64 (.f64 d (/.f64 d (.f64 h l))) (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (/.f64 d h) (.f64 (/.f64 d l) (/.f64 (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))) d)))
(/.f64 (sqrt.f64 (.f64 (fma.f64 d (.f64 d (fma.f64 d d #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))))) d)
(/.f64 (.f64 d (fma.f64 d d #s(literal 0 binary64))) (sqrt.f64 (.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 d (*.f64 d (fma.f64 d d #s(literal 0 binary64))) #s(literal 0 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h))
(/.f64 (/.f64 (fma.f64 d d #s(literal 0 binary64)) h) (*.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))) l))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))
(/.f64 (/.f64 d (.f64 (/.f64 h d) l)) (/.f64 d (sqrt.f64 (.f64 h l))))
(neg.f64 (/.f64 d (.f64 (.f64 (fma.f64 h l #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)) (fma.f64 d d #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 d (sqrt.f64 (.f64 h l))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (-.f64 #s(literal 0 binary64) d))) (sqrt.f64 (-.f64 #s(literal 0 binary64) h)))

Outputs
(/.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (-.f64 #s(literal 0 binary64) d)) h)
(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))

Calls

1 calls:

28.0ms

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
57.2%	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 40 to 22 computations (45% saved)

regimes64.0ms (0.3%)

Memory

3.6MiB live, 43.2MiB allocated

Counts

19 → 2

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 h l)))
(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 h l)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d)
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l))) d)
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) #s(literal 0 binary64))
(fma.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) #s(literal 0 binary64))
(sqrt.f64 (fma.f64 d (/.f64 d (fma.f64 h l #s(literal 0 binary64))) #s(literal 0 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (-.f64 #s(literal 0 binary64) d))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (-.f64 #s(literal 0 binary64) d) #s(literal 0 binary64))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))
(/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h)
(*.f64 (/.f64 d (fma.f64 h l #s(literal 0 binary64))) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))
(fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) #s(literal 0 binary64))
(fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) #s(literal 0 binary64))
(/.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (-.f64 #s(literal 0 binary64) d)) h)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 h l #s(literal 0 binary64))) d) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))
(/.f64 (fma.f64 d d #s(literal 0 binary64)) (sqrt.f64 (*.f64 (fma.f64 h l #s(literal 0 binary64)) (fma.f64 d d #s(literal 0 binary64)))))

Outputs
(/.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (-.f64 #s(literal 0 binary64) d)) h)
(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))

Calls

4 calls:

45.0ms	(*.f64 M D)
6.0ms	l
6.0ms	d
5.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
50.4%	3	`l`
50.2%	2	`(*.f64 M D)`
48.3%	2	`d`
50.5%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 60 to 38 computations (36.7% saved)

regimes34.0ms (0.2%)

Memory

-0.4MiB live, 74.2MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 h l)))
(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 h l)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d)
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l))) d)
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) #s(literal 0 binary64))
(fma.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) #s(literal 0 binary64))
(sqrt.f64 (fma.f64 d (/.f64 d (fma.f64 h l #s(literal 0 binary64))) #s(literal 0 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (-.f64 #s(literal 0 binary64) d))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (-.f64 #s(literal 0 binary64) d) #s(literal 0 binary64))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))
(/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h)
(*.f64 (/.f64 d (fma.f64 h l #s(literal 0 binary64))) (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))
(fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) #s(literal 0 binary64))
(fma.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) #s(literal 0 binary64))

Outputs
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (-.f64 #s(literal 0 binary64) d))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))

Calls

6 calls:

6.0ms	d
6.0ms	l
5.0ms	(*.f64 M D)
5.0ms	h
5.0ms	M

Results

Accuracy	Segments	Branch
48.3%	2	`d`
47.9%	2	`h`
46.1%	2	`M`
48.2%	2	`l`
46.1%	2	`(*.f64 M D)`
47.5%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 72 to 48 computations (33.3% saved)

regimes21.0ms (0.1%)

Memory

-5.5MiB live, 45.4MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 h l)))
(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 h l)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d)
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l))) d)
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) #s(literal 0 binary64))
(fma.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) #s(literal 0 binary64))
(sqrt.f64 (fma.f64 d (/.f64 d (fma.f64 h l #s(literal 0 binary64))) #s(literal 0 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (-.f64 #s(literal 0 binary64) d))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (-.f64 #s(literal 0 binary64) d) #s(literal 0 binary64))

Outputs
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (-.f64 #s(literal 0 binary64) d))
(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))

Calls

4 calls:

9.0ms	h
4.0ms	l
4.0ms	d
4.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
47.5%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
43.5%	1	`h`
45.2%	2	`l`
43.5%	1	`d`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes7.0ms (0%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 h l)))
(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 h l)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) d)
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 h l))) d)
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) #s(literal 0 binary64))
(fma.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) #s(literal 0 binary64))
(sqrt.f64 (fma.f64 d (/.f64 d (fma.f64 h l #s(literal 0 binary64))) #s(literal 0 binary64)))

Outputs
(neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 h l)))))
(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))

Calls

2 calls:

3.0ms

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
43.5%	1	`D`
46.5%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 46 to 27 computations (41.3% saved)

regimes2.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 h l)))
(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))

Outputs
(/.f64 d (sqrt.f64 (*.f64 h l)))
(fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64)))))

Calls

1 calls:

2.0ms

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
46.2%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 40 to 22 computations (45% saved)

regimes19.0ms (0.1%)

Memory

-12.8MiB live, 26.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 h l)))

Outputs
(/.f64 d (sqrt.f64 (*.f64 h l)))

Calls

7 calls:

11.0ms	M
1.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
1.0ms	l
1.0ms	h
1.0ms	D

Results

Accuracy	Segments	Branch
27.3%	1	`d`
27.3%	1	`D`
27.3%	1	`h`
27.3%	1	`l`
27.3%	1	`M`
27.3%	1	`(*.f64 M D)`
27.3%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 78 to 53 computations (32.1% saved)

bsearch2.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.741046628457005e+229	+inf

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch75.0ms (0.3%)

Memory

6.2MiB live, 156.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	4.9978028745104054e-197	5.975323526815319e-197
53.0ms	-1.8356158694411294e-152	-5.89305036913929e-155

Samples

29.0ms	160×	0	valid
25.0ms	194×	0	invalid

Compiler

Compiled 761 to 458 computations (39.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-div: 17.0ms (41.3% of total)

ival-mult: 12.0ms (29.2% of total)

ival-pow: 6.0ms (14.6% of total)

ival-pow2: 4.0ms (9.7% of total)

ival-sub: 2.0ms (4.9% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.741046628457005e+229	+inf
0.0ms	0.0	2.487749237694554e-214

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	9.741046628457005e+229	+inf
0.0ms	0.0	2.487749237694554e-214
0.0ms	-3.782277379302393e-44	-6.521831117257596e-64

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	9.741046628457005e+229	+inf
0.0ms	0.0	2.487749237694554e-214
0.0ms	-2.1313023697186282e+189	-1.0975597879339757e+179

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch209.0ms (1%)

Memory

24.2MiB live, 409.7MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
55.0ms	-3.6268152474028575e-308	8.116460546290185e-302
39.0ms	-2.0894428416889418e-147	-2.0098007965219167e-148
98.0ms	-3.2063644054979263e+117	-2.171081157251596e+112

Samples

100.0ms	454×	0	invalid
66.0ms	384×	0	valid

Compiler

Compiled 1 513 to 1 032 computations (31.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-div: 32.0ms (35.1% of total)

ival-mult: 29.0ms (31.8% of total)

ival-pow: 17.0ms (18.7% of total)

ival-pow2: 8.0ms (8.8% of total)

ival-sub: 4.0ms (4.4% of total)

ival-true: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

ival-assert: 0.0ms (0% of total)

bsearch199.0ms (0.9%)

Memory

-45.7MiB live, 286.3MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
46.0ms	-3.6268152474028575e-308	8.116460546290185e-302
32.0ms	-2.0894428416889418e-147	-2.0098007965219167e-148
106.0ms	-3.2063644054979263e+117	-2.171081157251596e+112

Samples

94.0ms	333×	0	invalid
66.0ms	384×	0	valid

Compiler

Compiled 1 498 to 1 002 computations (33.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-mult: 28.0ms (33.1% of total)

ival-div: 26.0ms (30.8% of total)

ival-pow: 18.0ms (21.3% of total)

ival-pow2: 8.0ms (9.5% of total)

ival-sub: 3.0ms (3.5% of total)

exact: 1.0ms (1.2% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch232.0ms (1.1%)

Memory

19.9MiB live, 329.6MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
108.0ms	-3.6268152474028575e-308	8.116460546290185e-302
40.0ms	-2.0894428416889418e-147	-2.0098007965219167e-148
52.0ms	-2.0826087249375615e+48	-3.526643420296541e+43

Samples

95.0ms	368×	0	valid
80.0ms	435×	0	invalid

Compiler

Compiled 1 471 to 1 007 computations (31.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-pow: 44.0ms (38.8% of total)

ival-mult: 29.0ms (25.6% of total)

ival-div: 27.0ms (23.8% of total)

ival-pow2: 8.0ms (7.1% of total)

ival-sub: 4.0ms (3.5% of total)

ival-true: 1.0ms (0.9% of total)

exact: 1.0ms (0.9% of total)

ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	9.741046628457005e+229	+inf
0.0ms	0.0	2.487749237694554e-214
0.0ms	-1.3068680407097432e+105	-427.4726322435199

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	9.741046628457005e+229	+inf
0.0ms	0.0	2.487749237694554e-214
0.0ms	-2.1313023697186282e+189	-1.0975597879339757e+179

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	9.741046628457005e+229	+inf
0.0ms	0.0	2.487749237694554e-214
0.0ms	-2.1313023697186282e+189	-1.0975597879339757e+179

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	9.741046628457005e+229	+inf
0.0ms	0.0	2.487749237694554e-214
0.0ms	-2.0796013220771765e+259	-2.987778600245991e+257

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	9.741046628457005e+229	+inf
0.0ms	0.0	2.487749237694554e-214
0.0ms	-6.521831117257596e-64	0.0

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.521831117257596e-64	0.0

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch45.0ms (0.2%)

Memory

-46.1MiB live, 21.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
44.0ms	4.9978028745104054e-197	5.975323526815319e-197

Samples

5.0ms	32×	0	valid
4.0ms	36×	0	invalid

Compiler

Compiled 101 to 76 computations (24.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 2.0ms (29.7% of total)

ival-mult: 2.0ms (29.7% of total)

ival-pow: 1.0ms (14.8% of total)

ival-pow2: 1.0ms (14.8% of total)

ival-sub: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.3068680407097432e+105	-427.4726322435199

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.782277379302393e-44	-6.521831117257596e-64

Compiler

Compiled 43 to 30 computations (30.2% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.782277379302393e-44	-6.521831117257596e-64

Compiler

Compiled 43 to 30 computations (30.2% saved)

simplify228.0ms (1.1%)

Memory

17.1MiB live, 129.6MiB allocated

Algorithm

1×	egg-herbie

Rules

1 190×	`distribute-lft-neg-in_binary64`
1 072×	`neg-mul-1_binary64`
690×	`neg-sub0_binary64`
576×	`distribute-rgt-neg-in_binary64`
536×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	226	1948
1	339	1944
2	405	1944
3	517	1944
4	620	1944
5	756	1944
6	1199	1944
7	1821	1944
8	2327	1944
9	2825	1944
10	3352	1944
11	3735	1944
12	3795	1944
13	3820	1944
14	3827	1944
15	3999	1944
16	4129	1944
17	4206	1944
18	4256	1944
19	4316	1944
20	4359	1944
21	4386	1944
22	4401	1944
23	4404	1944

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 100000000000000009956644432600511718615881550253707240288894882888289682097749535512827356959114607773492443453354095454801046151441888338236034913910900102616284254148427024265175655196680942530570909289367345315883616691581616128 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d)) #s(literal 1 binary64)) (.f64 l (.f64 #s(literal 4 binary64) (/.f64 d (.f64 M D))))))) (.f64 (fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 M D)) d)) #s(literal 1 binary64)) (.f64 l (.f64 #s(literal 4 binary64) (/.f64 d (*.f64 M D))))))))
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(/.f64 d (sqrt.f64 (*.f64 h l)))

Outputs
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(if (<=.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))))) #s(literal -7410693711188237/14821387422376473014217086081112052205218558037201992197050570753012880593911808 binary64)) (/.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (-.f64 #s(literal 0 binary64) d)) h) (fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))))
(if (<=.f64 d #s(literal 4208108721238699/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (-.f64 #s(literal 0 binary64) d)) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
(if (<=.f64 d #s(literal 4208108721238699/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016 binary64)) (.f64 (-.f64 #s(literal 0 binary64) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (/.f64 d (*.f64 (sqrt.f64 h) (sqrt.f64 l))))
(if (<=.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal -999999999999999938258300825281978540327027364472124478294416212538871491824599713636820527503908255301632 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (-.f64 #s(literal 0 binary64) d)) (fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))))
(if (<=.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))))) #s(literal -999999999999999938258300825281978540327027364472124478294416212538871491824599713636820527503908255301632 binary64)) (.f64 (-.f64 #s(literal 0 binary64) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))))
(if (<=.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal -8034690221294951/401734511064747568885490523085290650630550748445698208825344 binary64)) (neg.f64 (/.f64 d (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 h l))))) (fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))))
(if (<=.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))))) #s(literal -8034690221294951/401734511064747568885490523085290650630550748445698208825344 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))) (fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))))
(if (<=.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal -8034690221294951/401734511064747568885490523085290650630550748445698208825344 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))) (fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))))
(if (<=.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))))) #s(literal -8034690221294951/401734511064747568885490523085290650630550748445698208825344 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l))) (fabs.f64 (/.f64 d (sqrt.f64 (fma.f64 h l #s(literal 0 binary64))))))
(/.f64 d (sqrt.f64 (*.f64 h l)))

soundness2.2s (10%)

Memory

9.3MiB live, 2 000.5MiB allocated

Rules

8 886×	`-lowering-.f32`
8 886×	`-lowering-.f64`
8 408×	`-lowering-.f32`
8 408×	`-lowering-.f64`
7 446×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	409
1	418	350
2	3852	340
0	8191	330
0	363	16931
1	1094	16500
2	3950	16438
0	8166	16096
0	120	3277
1	321	3193
2	1147	3183
3	2635	3164
4	5494	3164
0	8538	3125
0	67	358
1	367	331
2	3603	321
0	8792	320
0	370	20167
1	1114	19635
2	4057	19541
0	8290	19118
0	69	334
1	326	313
2	2436	302
0	8864	296
0	23	60
1	109	59
2	813	59
0	8746	58

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 4 123 to 1 763 computations (57.2% saved)

preprocess242.0ms (1.1%)

Memory

13.6MiB live, 243.7MiB allocated

Remove

(sort M D)

(abs D)

(abs M)

Compiler

Compiled 4 676 to 768 computations (83.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze393.0ms (1.8%)

sample5.6s (26.1%)

preprocess300.0ms (1.4%)

explain378.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify237.0ms (1.1%)

localize73.0ms (0.3%)

series46.0ms (0.2%)

rewrite319.0ms (1.5%)

simplify754.0ms (3.5%)

eval189.0ms (0.9%)

prune280.0ms (1.3%)

simplify355.0ms (1.6%)

localize697.0ms (3.2%)

series129.0ms (0.6%)

rewrite437.0ms (2%)

simplify784.0ms (3.6%)

eval369.0ms (1.7%)

prune376.0ms (1.7%)

simplify238.0ms (1.1%)

localize219.0ms (1%)

series55.0ms (0.3%)

rewrite355.0ms (1.6%)

simplify531.0ms (2.5%)

eval270.0ms (1.2%)

prune265.0ms (1.2%)

simplify217.0ms (1%)

localize319.0ms (1.5%)

series93.0ms (0.4%)

rewrite506.0ms (2.3%)

simplify481.0ms (2.2%)

eval752.0ms (3.5%)

prune746.0ms (3.4%)

regimes362.0ms (1.7%)

regimes366.0ms (1.7%)

regimes84.0ms (0.4%)

regimes151.0ms (0.7%)

regimes20.0ms (0.1%)

regimes36.0ms (0.2%)

regimes26.0ms (0.1%)

regimes60.0ms (0.3%)

regimes76.0ms (0.4%)

regimes30.0ms (0.1%)

regimes16.0ms (0.1%)

regimes38.0ms (0.2%)

regimes30.0ms (0.1%)

regimes64.0ms (0.3%)

regimes34.0ms (0.2%)

regimes21.0ms (0.1%)

regimes7.0ms (0%)

regimes2.0ms (0%)

regimes19.0ms (0.1%)

bsearch2.0ms (0%)

bsearch75.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch209.0ms (1%)

bsearch199.0ms (0.9%)

bsearch232.0ms (1.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch45.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify228.0ms (1.1%)

soundness2.2s (10%)

preprocess242.0ms (1.1%)

end0.0ms (0%)

Profiling