Metrics for Rosa's DopplerBench

analyze71.0ms (0.7%)

Memory

-15.2MiB live, 139.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	5
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	6
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	7
65.6%	65.5%	34.3%	0.1%	0%	0%	0%	8
65.6%	65.5%	34.3%	0.1%	0%	0%	0%	9
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	10
82%	81.9%	17.9%	0.1%	0%	0%	0%	11
82%	81.9%	17.9%	0.1%	0%	0%	0%	12

Compiler

Compiled 14 to 10 computations (28.6% saved)

sample754.0ms (7.2%)

Memory

55.0MiB live, 1 383.5MiB allocated

Samples

539.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 325.0ms

ival-mult: 153.0ms (47.1% of total)

ival-div: 54.0ms (16.6% of total)

ival-add: 54.0ms (16.6% of total)

ival-neg: 54.0ms (16.6% of total)

ival-true: 6.0ms (1.8% of total)

ival-assert: 4.0ms (1.2% of total)

Bogosity

preprocess255.0ms (2.4%)

Memory

18.0MiB live, 206.8MiB allocated

Algorithm

2×	egg-herbie

Rules

2 064×	`accelerator-lowering-fma.f32`
2 064×	`accelerator-lowering-fma.f64`
1 622×	`times-frac`
1 078×	`unsub-neg`
880×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	121
1	185	117
2	662	115
3	2314	115
4	5738	115
5	7969	115
0	8	12
1	29	12
2	75	12
3	191	12
4	339	12
5	529	12
6	948	12
7	1742	12
8	2189	12
9	2705	12
10	3250	12
11	3384	12
12	3645	12
13	3689	12
14	3711	12
15	3749	12
16	3827	12
17	3851	12
18	3863	12
19	3865	12
20	3865	12
0	3865	12

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

Outputs
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))
(/.f64 (*.f64 v (-.f64 #s(literal 0 binary64) (/.f64 t1 (+.f64 t1 u)))) (+.f64 t1 u))

Call 2

Inputs
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))
(/ (* (neg t1) v) (* (+ t1 (neg u)) (+ t1 (neg u))))
(/ (* (neg t1) (neg v)) (* (+ t1 u) (+ t1 u)))
(/ (* (neg (neg t1)) v) (* (+ (neg t1) u) (+ (neg t1) u)))
(neg (/ (* (neg t1) v) (* (+ t1 (neg u)) (+ t1 (neg u)))))
(neg (/ (* (neg t1) (neg v)) (* (+ t1 u) (+ t1 u))))
(neg (/ (* (neg (neg t1)) v) (* (+ (neg t1) u) (+ (neg t1) u))))
(/ (* (neg t1) u) (* (+ t1 v) (+ t1 v)))
(/ (* (neg u) v) (* (+ u t1) (+ u t1)))
(/ (* (neg v) t1) (* (+ v u) (+ v u)))

Outputs
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))
(/ (/ (* t1 (neg v)) (+ t1 u)) (+ t1 u))
(/ (* (neg t1) v) (* (+ t1 (neg u)) (+ t1 (neg u))))
(* (/ v (- t1 u)) (/ t1 (- u t1)))
(/ (* (neg t1) (neg v)) (* (+ t1 u) (+ t1 u)))
(/ (/ (* t1 v) (+ t1 u)) (+ t1 u))
(/ (* (neg (neg t1)) v) (* (+ (neg t1) u) (+ (neg t1) u)))
(* (/ v (- t1 u)) (/ t1 (- t1 u)))
(neg (/ (* (neg t1) v) (* (+ t1 (neg u)) (+ t1 (neg u)))))
(* (/ v (- t1 u)) (/ t1 (- t1 u)))
(neg (/ (* (neg t1) (neg v)) (* (+ t1 u) (+ t1 u))))
(/ (/ (* t1 (neg v)) (+ t1 u)) (+ t1 u))
(neg (/ (* (neg (neg t1)) v) (* (+ (neg t1) u) (+ (neg t1) u))))
(* (/ v (- t1 u)) (/ t1 (- u t1)))
(/ (* (neg t1) u) (* (+ t1 v) (+ t1 v)))
(* (neg t1) (/ (/ u (+ t1 v)) (+ t1 v)))
(/ (* (neg u) v) (* (+ u t1) (+ u t1)))
(* (neg u) (/ (/ v (+ t1 u)) (+ t1 u)))
(/ (* (neg v) t1) (* (+ v u) (+ v u)))
(* (neg t1) (/ (/ v (+ v u)) (+ v u)))

Symmetry

(negabs v)

explain98.0ms (0.9%)

Memory

-30.4MiB live, 179.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
81	1	(1.040655244751274e+247 9.339146555792769e-30 1.1251862875866192e+200)	3	(-6.121172774348858e-161 7.171161760233126e-26 -1.4957683983923552e-238)	`(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))`
0	0	-	0	-	`t1`
0	0	-	0	-	`(*.f64 (neg.f64 t1) v)`
0	0	-	0	-	`(neg.f64 t1)`
0	0	-	0	-	`v`
0	0	-	0	-	`(*.f64 (+.f64 t1 u) (+.f64 t1 u))`
0	0	-	0	-	`(+.f64 t1 u)`
0	0	-	0	-	`u`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))`	o/o	30	0
↳	`(*.f64 (neg.f64 t1) v)`	overflow	35
↳	`(*.f64 (+.f64 t1 u) (+.f64 t1 u))`	overflow	108
`/.f64`	`(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))`	n/o	19	0
↳	`(*.f64 (+.f64 t1 u) (+.f64 t1 u))`	overflow	108
`/.f64`	`(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))`	n/u	11	0
↳	`(*.f64 (+.f64 t1 u) (+.f64 t1 u))`	underflow	20
`/.f64`	`(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))`	u/n	10	0
↳	`(*.f64 (neg.f64 t1) v)`	underflow	34
`/.f64`	`(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))`	o/n	5	0
↳	`(*.f64 (neg.f64 t1) v)`	overflow	35
`/.f64`	`(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))`	u/u	4	0
↳	`(*.f64 (neg.f64 t1) v)`	underflow	34
↳	`(*.f64 (+.f64 t1 u) (+.f64 t1 u))`	underflow	20

Confusion

	Predicted +	Predicted -
+	78	3
-	1	174

Precision

0.9873417721518988

Recall

0.9629629629629629

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	78	0	3
-	1	0	174

Precision?

0.9873417721518988

Recall?

0.9629629629629629

Freqs

test

number	freq
0	177
1	79

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms

512×

valid

Compiler

Compiled 96 to 36 computations (62.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 6.0ms (38.9% of total)

ival-div: 3.0ms (19.4% of total)

ival-add: 3.0ms (19.4% of total)

ival-neg: 2.0ms (13% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.5%	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify182.0ms (1.7%)

Memory

25.7MiB live, 141.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 t1 u)
✓	cost-diff	(*.f64 (+.f64 t1 u) (+.f64 t1 u))
✓	cost-diff	(*.f64 (neg.f64 t1) v)
✓	cost-diff	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))

Rules

2 064×	`accelerator-lowering-fma.f32`
2 064×	`accelerator-lowering-fma.f64`
880×	`-lowering-.f32`
880×	`-lowering-.f64`
572×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	31
1	29	31
2	75	31
3	191	31
4	339	31
5	529	31
6	948	31
7	1742	31
8	2189	31
9	2705	31
10	3250	31
11	3384	31
12	3645	31
13	3689	31
14	3711	31
15	3749	31
16	3827	31
17	3851	31
18	3863	31
19	3865	31
20	3865	31
0	3865	31

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))
(* (neg t1) v)
(neg t1)
t1
v
(* (+ t1 u) (+ t1 u))
(+ t1 u)
u

Outputs
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))
(/.f64 (*.f64 v (-.f64 #s(literal 0 binary64) (/.f64 t1 (+.f64 t1 u)))) (+.f64 t1 u))
(* (neg t1) v)
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(neg t1)
(-.f64 #s(literal 0 binary64) t1)
t1
v
(* (+ t1 u) (+ t1 u))
(*.f64 (+.f64 t1 u) (+.f64 t1 u))
(+ t1 u)
(+.f64 t1 u)
u

localize47.0ms (0.4%)

Memory

-12.4MiB live, 30.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (neg.f64 t1) v)
✓	accuracy	100.0%	(neg.f64 t1)
✓	accuracy	100.0%	(*.f64 (+.f64 t1 u) (+.f64 t1 u))
✓	accuracy	70.7%	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))

Samples

38.0ms

256×

valid

Compiler

Compiled 33 to 10 computations (69.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-add: 21.0ms (77.5% of total)

ival-mult: 3.0ms (11.1% of total)

ival-div: 2.0ms (7.4% of total)

ival-neg: 1.0ms (3.7% of total)

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

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

series16.0ms (0.2%)

Memory

-23.9MiB live, 13.9MiB allocated

Counts

5 → 120

Calls

Call 1

Inputs
#<alt (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))>
#<alt (* (neg t1) v)>
#<alt (* (+ t1 u) (+ t1 u))>
#<alt (+ t1 u)>
#<alt (neg t1)>

Outputs
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3)))))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))))))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4)))))))))>
#<alt (* -1 (/ v t1))>
#<alt (/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)>
#<alt (/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1)>
#<alt (/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1)>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ v t1))>
#<alt (+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))>
#<alt (+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3)))))))>
#<alt (+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3))))))))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))>
#<alt (/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2))>
#<alt (/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))>
#<alt (/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u))) (pow u 2))>
#<alt (/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)))) (* 2 (* (pow t1 4) v))) u)) (* (pow t1 3) v))) u))) u))) (pow u 2))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (pow u 2)>
#<alt (+ (* 2 (* t1 u)) (pow u 2))>
#<alt (+ (* t1 (+ t1 (* 2 u))) (pow u 2))>
#<alt (+ (* t1 (+ t1 (* 2 u))) (pow u 2))>
#<alt (pow t1 2)>
#<alt (* (pow t1 2) (+ 1 (* 2 (/ u t1))))>
#<alt (* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2)))))>
#<alt (* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2)))))>
#<alt (pow t1 2)>
#<alt (* (pow t1 2) (+ 1 (* 2 (/ u t1))))>
#<alt (* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1))))>
#<alt (* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1))))>
#<alt (pow t1 2)>
#<alt (+ (* 2 (* t1 u)) (pow t1 2))>
#<alt (+ (* u (+ u (* 2 t1))) (pow t1 2))>
#<alt (+ (* u (+ u (* 2 t1))) (pow t1 2))>
#<alt (pow u 2)>
#<alt (* (pow u 2) (+ 1 (* 2 (/ t1 u))))>
#<alt (* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2)))))>
#<alt (* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2)))))>
#<alt (pow u 2)>
#<alt (* (pow u 2) (+ 1 (* 2 (/ t1 u))))>
#<alt (* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u))))>
#<alt (* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u))))>
#<alt u>
#<alt (+ t1 u)>
#<alt (+ t1 u)>
#<alt (+ t1 u)>
#<alt t1>
#<alt (* t1 (+ 1 (/ u t1)))>
#<alt (* t1 (+ 1 (/ u t1)))>
#<alt (* t1 (+ 1 (/ u t1)))>
#<alt t1>
#<alt (* -1 (* t1 (- (* -1 (/ u t1)) 1)))>
#<alt (* -1 (* t1 (- (* -1 (/ u t1)) 1)))>
#<alt (* -1 (* t1 (- (* -1 (/ u t1)) 1)))>
#<alt t1>
#<alt (+ t1 u)>
#<alt (+ t1 u)>
#<alt (+ t1 u)>
#<alt u>
#<alt (* u (+ 1 (/ t1 u)))>
#<alt (* u (+ 1 (/ t1 u)))>
#<alt (* u (+ 1 (/ t1 u)))>
#<alt u>
#<alt (* -1 (* u (- (* -1 (/ t1 u)) 1)))>
#<alt (* -1 (* u (- (* -1 (/ t1 u)) 1)))>
#<alt (* -1 (* u (- (* -1 (/ t1 u)) 1)))>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>

Calls

30 calls:

Time	Variable		Point	Expression
4.0ms	t1	@	inf	(+ t1 u)
1.0ms	u	@	0	(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))
1.0ms	v	@	0	(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))
1.0ms	t1	@	-inf	(* (+ t1 u) (+ t1 u))
1.0ms	t1	@	inf	(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

rewrite418.0ms (4%)

Memory

33.2MiB live, 470.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 320×	`-lowering-.f32`
5 320×	`-lowering-.f64`
2 808×	`/-lowering-/.f32`
2 808×	`/-lowering-/.f64`
2 706×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	52	24
2	391	24
3	5091	24
0	8388	24

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 568

Calls

Call 1

Inputs
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))
(* (neg t1) v)
(* (+ t1 u) (+ t1 u))
(+ t1 u)
(neg t1)

Outputs
(+.f64 (.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (+.f64 t1 u)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 t1 v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(+.f64 (.f64 (/.f64 (.f64 t1 (-.f64 #s(literal 0 binary64) v)) (.f64 (+.f64 t1 u) (+.f64 (.f64 t1 (.f64 t1 t1)) (.f64 u (.f64 u u))))) (.f64 t1 t1)) (.f64 (/.f64 (.f64 t1 (-.f64 #s(literal 0 binary64) v)) (.f64 (+.f64 t1 u) (+.f64 (.f64 t1 (.f64 t1 t1)) (.f64 u (.f64 u u))))) (.f64 u (-.f64 u t1))))
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(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 t1 (.f64 t1 t1)) (.f64 u (.f64 u u)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 t1 t1) (*.f64 u (-.f64 u t1))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 t1 t1) (*.f64 u u))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 t1 u))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 t1 t1) (.f64 u (-.f64 u t1)))) (+.f64 (.f64 t1 (.f64 t1 t1)) (.f64 u (*.f64 u u))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 t1 t1) (.f64 u (-.f64 u t1)))) (pow.f64 (+.f64 (.f64 t1 (.f64 t1 t1)) (.f64 u (*.f64 u u))) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 t1 t1) (.f64 u (-.f64 u t1)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 t1 (.f64 t1 t1)) (.f64 u (*.f64 u u)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 t1 u)) (-.f64 (.f64 t1 t1) (*.f64 u u)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 t1 u)) (pow.f64 (-.f64 (.f64 t1 t1) (*.f64 u u)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 t1 u)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 t1 t1) (*.f64 u u))) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 u u) (*.f64 t1 t1)) (/.f64 #s(literal 1 binary64) (-.f64 u t1)))
(.f64 (pow.f64 (+.f64 (.f64 t1 (.f64 t1 t1)) (.f64 u (.f64 u u))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 t1 t1) (*.f64 u (-.f64 u t1)))))
(.f64 (pow.f64 (-.f64 (.f64 t1 t1) (*.f64 u u)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 t1 u)))
(*.f64 (pow.f64 (+.f64 t1 u) #s(literal 1/2 binary64)) (pow.f64 (+.f64 t1 u) #s(literal 1/2 binary64)))
(.f64 (/.f64 (-.f64 (.f64 t1 t1) (.f64 u u)) (-.f64 (.f64 t1 t1) (*.f64 u u))) (+.f64 t1 u))
(.f64 (/.f64 (+.f64 (.f64 t1 (.f64 t1 t1)) (.f64 u (.f64 u u))) (+.f64 (.f64 (.f64 t1 (.f64 t1 t1)) (.f64 t1 (.f64 t1 t1))) (.f64 (.f64 u (-.f64 u t1)) (.f64 (.f64 u (-.f64 u t1)) (.f64 u (-.f64 u t1)))))) (+.f64 (.f64 t1 (.f64 t1 (.f64 t1 t1))) (.f64 (.f64 u (-.f64 u t1)) (-.f64 (.f64 u (-.f64 u t1)) (.f64 t1 t1)))))
(.f64 (/.f64 (+.f64 (.f64 t1 (.f64 t1 t1)) (.f64 u (.f64 u u))) (-.f64 (.f64 t1 (.f64 t1 (.f64 t1 t1))) (.f64 (.f64 u (-.f64 u t1)) (.f64 u (-.f64 u t1))))) (-.f64 (.f64 t1 t1) (*.f64 u (-.f64 u t1))))
(.f64 (/.f64 (-.f64 (.f64 t1 t1) (.f64 u u)) (-.f64 (.f64 t1 (.f64 t1 t1)) (.f64 u (.f64 u u)))) (+.f64 (.f64 t1 t1) (*.f64 u (+.f64 t1 u))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 t1 t1) (*.f64 u u))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 t1 u)))
(.f64 (pow.f64 (+.f64 (.f64 t1 t1) (.f64 u (-.f64 u t1))) #s(literal 1 binary64)) (pow.f64 (.f64 (+.f64 t1 u) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 t1 t1) (.f64 u (-.f64 u t1))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 (.f64 t1 t1) (.f64 u (-.f64 u t1))) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 t1 u) (+.f64 (.f64 t1 t1) (*.f64 u (-.f64 u t1)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 t1 (.f64 t1 t1)) (.f64 u (.f64 u u)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 t1 t1) (*.f64 u (-.f64 u t1))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 t1 t1) (*.f64 u u))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 t1 u))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 u u) (*.f64 t1 t1)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 u t1)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (+.f64 (.f64 t1 (.f64 t1 t1)) (.f64 u (.f64 u u))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 t1 t1) (*.f64 u (-.f64 u t1)))))
(.f64 (pow.f64 (pow.f64 (-.f64 (.f64 t1 t1) (*.f64 u u)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 t1 u)))
(*.f64 (pow.f64 (pow.f64 (+.f64 t1 u) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 t1 u) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 t1 t1) (.f64 u u)) (-.f64 (.f64 t1 t1) (*.f64 u u))) #s(literal 1 binary64)) (+.f64 t1 u))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 t1 (.f64 t1 t1)) (.f64 u (.f64 u u))) (+.f64 (.f64 (.f64 t1 (.f64 t1 t1)) (.f64 t1 (.f64 t1 t1))) (.f64 (.f64 u (-.f64 u t1)) (.f64 (.f64 u (-.f64 u t1)) (.f64 u (-.f64 u t1)))))) #s(literal 1 binary64)) (pow.f64 (+.f64 (.f64 t1 (.f64 t1 (.f64 t1 t1))) (.f64 (.f64 u (-.f64 u t1)) (-.f64 (.f64 u (-.f64 u t1)) (.f64 t1 t1)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 t1 (.f64 t1 t1)) (.f64 u (.f64 u u))) (-.f64 (.f64 t1 (.f64 t1 (.f64 t1 t1))) (.f64 (.f64 u (-.f64 u t1)) (.f64 u (-.f64 u t1))))) #s(literal 1 binary64)) (pow.f64 (-.f64 (.f64 t1 t1) (*.f64 u (-.f64 u t1))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 t1 t1) (.f64 u u)) (-.f64 (.f64 t1 (.f64 t1 t1)) (.f64 u (.f64 u u)))) #s(literal 1 binary64)) (pow.f64 (+.f64 (.f64 t1 t1) (*.f64 u (+.f64 t1 u))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 t1 (.f64 t1 t1)) (.f64 u (.f64 u u)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 t1 t1) (*.f64 u (-.f64 u t1)))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 t1 t1) (.f64 u (-.f64 u t1))) (+.f64 (.f64 (.f64 t1 (.f64 t1 t1)) (.f64 (.f64 t1 (.f64 t1 t1)) (.f64 t1 (.f64 t1 t1)))) (.f64 (.f64 u (.f64 u u)) (.f64 (.f64 u (.f64 u u)) (.f64 u (.f64 u u)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 t1 (.f64 t1 t1)) (.f64 t1 (.f64 t1 t1))) (.f64 (.f64 u (.f64 u u)) (-.f64 (.f64 u (.f64 u u)) (.f64 t1 (*.f64 t1 t1)))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 t1 t1) (.f64 u (-.f64 u t1))) (-.f64 (.f64 (.f64 t1 (.f64 t1 t1)) (.f64 t1 (.f64 t1 t1))) (.f64 (.f64 u (.f64 u u)) (.f64 u (.f64 u u))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 t1 (.f64 t1 t1)) (.f64 u (*.f64 u u)))))
(.f64 (pow.f64 (/.f64 (-.f64 t1 u) (-.f64 (.f64 (.f64 t1 (.f64 t1 t1)) (.f64 t1 (.f64 t1 t1))) (.f64 (.f64 u (.f64 u u)) (.f64 u (.f64 u u))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 t1 (.f64 t1 (.f64 t1 t1))) (.f64 (.f64 u u) (+.f64 (.f64 t1 t1) (.f64 u u))))))
(.f64 (pow.f64 (/.f64 (-.f64 t1 u) (-.f64 (.f64 t1 (.f64 t1 (.f64 t1 t1))) (.f64 u (.f64 u (.f64 u u))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 t1 t1) (*.f64 u u))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 t1 (.f64 t1 t1)) (.f64 u (.f64 u u))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 t1 t1) (*.f64 u (-.f64 u t1))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 t1 t1) (*.f64 u u)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 t1 u))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 u u) (*.f64 t1 t1))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 u t1)))
(+.f64 (-.f64 #s(literal 0 binary64) t1) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) t1))
(-.f64 #s(literal 0 binary64) t1)
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 t1 t1)) (/.f64 (.f64 t1 (.f64 t1 t1)) (.f64 t1 t1)))
(-.f64 (/.f64 #s(literal 0 binary64) t1) (/.f64 (*.f64 t1 t1) t1))
(fma.f64 t1 #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) t1 #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 t1 (.f64 t1 t1))) (/.f64 #s(literal 1 binary64) (*.f64 t1 t1)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 t1)) (/.f64 #s(literal 1 binary64) t1) #s(literal 0 binary64))
(neg.f64 t1)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 t1 t1) (-.f64 #s(literal 0 binary64) (.f64 t1 (*.f64 t1 t1)))))
(/.f64 #s(literal 1 binary64) (/.f64 t1 (-.f64 #s(literal 0 binary64) (*.f64 t1 t1))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 t1 (.f64 t1 t1))) (*.f64 t1 t1))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 t1)) t1)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 t1 (.f64 t1 t1)))) (-.f64 #s(literal 0 binary64) (*.f64 t1 t1)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 t1))) (-.f64 #s(literal 0 binary64) t1))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 t1 (.f64 t1 t1)) #s(literal -1 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) t1) (-.f64 #s(literal 0 binary64) t1)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) t1)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) t1) (-.f64 #s(literal 0 binary64) t1))) t1)
(pow.f64 (/.f64 (.f64 t1 t1) (-.f64 #s(literal 0 binary64) (.f64 t1 (*.f64 t1 t1)))) #s(literal -1 binary64))
(pow.f64 (/.f64 t1 (-.f64 #s(literal 0 binary64) (*.f64 t1 t1))) #s(literal -1 binary64))
(*.f64 t1 #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) t1)
(.f64 (-.f64 #s(literal 0 binary64) (.f64 t1 (.f64 t1 t1))) (/.f64 #s(literal 1 binary64) (.f64 t1 t1)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 t1 t1)) (/.f64 #s(literal 1 binary64) t1))

simplify681.0ms (6.5%)

Memory

-1.9MiB live, 560.5MiB allocated

Algorithm

1×	egg-herbie

Rules

13 062×	`accelerator-lowering-fma.f32`
13 062×	`accelerator-lowering-fma.f64`
4 110×	`-lowering-.f32`
4 110×	`-lowering-.f64`
3 760×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	237	1287
1	736	1230
2	2399	1136
3	6930	1136
0	8144	1088

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
(* -1 (/ (* t1 v) (pow u 2)))
(* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3)))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4)))))))))
(* -1 (/ v t1))
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1)
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1)
(* -1 (/ v t1))
(* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))
(* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1))
(* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ v t1))
(+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3)))))))
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3))))))))
(* -1 (/ (* t1 v) (pow u 2)))
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2))
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2))
(* -1 (/ (* t1 v) (pow u 2)))
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u))) (pow u 2))
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)))) (* 2 (* (pow t1 4) v))) u)) (* (pow t1 3) v))) u))) u))) (pow u 2))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(pow u 2)
(+ (* 2 (* t1 u)) (pow u 2))
(+ (* t1 (+ t1 (* 2 u))) (pow u 2))
(+ (* t1 (+ t1 (* 2 u))) (pow u 2))
(pow t1 2)
(* (pow t1 2) (+ 1 (* 2 (/ u t1))))
(* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2)))))
(* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2)))))
(pow t1 2)
(* (pow t1 2) (+ 1 (* 2 (/ u t1))))
(* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1))))
(* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1))))
(pow t1 2)
(+ (* 2 (* t1 u)) (pow t1 2))
(+ (* u (+ u (* 2 t1))) (pow t1 2))
(+ (* u (+ u (* 2 t1))) (pow t1 2))
(pow u 2)
(* (pow u 2) (+ 1 (* 2 (/ t1 u))))
(* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2)))))
(* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2)))))
(pow u 2)
(* (pow u 2) (+ 1 (* 2 (/ t1 u))))
(* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u))))
(* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u))))
u
(+ t1 u)
(+ t1 u)
(+ t1 u)
t1
(* t1 (+ 1 (/ u t1)))
(* t1 (+ 1 (/ u t1)))
(* t1 (+ 1 (/ u t1)))
t1
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
t1
(+ t1 u)
(+ t1 u)
(+ t1 u)
u
(* u (+ 1 (/ t1 u)))
(* u (+ 1 (/ t1 u)))
(* u (+ 1 (/ t1 u)))
u
(* -1 (* u (- (* -1 (/ t1 u)) 1)))
(* -1 (* u (- (* -1 (/ t1 u)) 1)))
(* -1 (* u (- (* -1 (/ t1 u)) 1)))
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)

Outputs
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 v (/.f64 t1 (.f64 u u))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3)))))
(.f64 t1 (-.f64 (/.f64 (.f64 t1 (.f64 v #s(literal 2 binary64))) (.f64 u (.f64 u u))) (/.f64 v (.f64 u u))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))))))
(.f64 t1 (-.f64 (.f64 t1 (+.f64 (/.f64 (.f64 v #s(literal 2 binary64)) (.f64 u (.f64 u u))) (/.f64 (.f64 t1 (.f64 v #s(literal -3 binary64))) (pow.f64 u #s(literal 4 binary64))))) (/.f64 v (.f64 u u))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4)))))))))
(.f64 t1 (-.f64 (.f64 t1 (+.f64 (/.f64 (.f64 v #s(literal 2 binary64)) (.f64 u (.f64 u u))) (.f64 t1 (+.f64 (/.f64 (.f64 v #s(literal -3 binary64)) (pow.f64 u #s(literal 4 binary64))) (.f64 t1 (+.f64 (/.f64 (.f64 v #s(literal -2 binary64)) (pow.f64 u #s(literal 5 binary64))) (/.f64 (/.f64 (.f64 #s(literal 6 binary64) v) (pow.f64 u #s(literal 4 binary64))) u))))))) (/.f64 v (*.f64 u u))))
(* -1 (/ v t1))
(-.f64 #s(literal 0 binary64) (/.f64 v t1))
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)
(/.f64 (-.f64 (/.f64 (.f64 v (.f64 u #s(literal 2 binary64))) t1) v) t1)
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 v (.f64 u u)) #s(literal -3 binary64)) t1) (.f64 v (*.f64 u #s(literal 2 binary64)))) t1) v) t1)
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1)
(/.f64 (+.f64 (-.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 v (.f64 u u)) #s(literal -3 binary64)) t1) (.f64 v (.f64 u #s(literal 2 binary64)))) t1) v) (.f64 (/.f64 (/.f64 #s(literal -2 binary64) t1) t1) (.f64 u (+.f64 (/.f64 (.f64 (.f64 v (.f64 u u)) #s(literal -3 binary64)) t1) (/.f64 (.f64 v (.f64 u u)) t1))))) t1)
(* -1 (/ v t1))
(-.f64 #s(literal 0 binary64) (/.f64 v t1))
(* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))
(/.f64 (-.f64 (/.f64 (.f64 v (.f64 u #s(literal 2 binary64))) t1) v) t1)
(* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 v (.f64 u u)) #s(literal -3 binary64)) t1) (.f64 v (*.f64 u #s(literal 2 binary64)))) t1) v) t1)
(* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1))
(/.f64 (-.f64 (/.f64 (-.f64 (.f64 v (.f64 u #s(literal 2 binary64))) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 u (+.f64 (/.f64 (.f64 (.f64 v (.f64 u u)) #s(literal -3 binary64)) t1) (/.f64 (.f64 v (.f64 u u)) t1)))) (.f64 #s(literal 3 binary64) (.f64 v (.f64 u u)))) t1)) t1) v) t1)
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 t1 v)) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 t1 v)) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 t1 v)) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 t1 v)) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 t1 v)) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 t1 v)) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 t1 v)) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 t1 v)) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 t1 v)) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 t1 v)) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 t1 v)) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 t1 v)) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ v t1))
(-.f64 #s(literal 0 binary64) (/.f64 v t1))
(+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))
(/.f64 (-.f64 (/.f64 (.f64 v (.f64 u #s(literal 2 binary64))) t1) v) t1)
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3)))))))
(+.f64 (/.f64 (.f64 (.f64 v (.f64 u u)) #s(literal -3 binary64)) (.f64 t1 (.f64 t1 t1))) (/.f64 (-.f64 (/.f64 (.f64 v (*.f64 u #s(literal 2 binary64))) t1) v) t1))
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3))))))))
(+.f64 (.f64 (.f64 u u) (+.f64 (/.f64 (.f64 v #s(literal -3 binary64)) (.f64 t1 (.f64 t1 t1))) (.f64 u (+.f64 (/.f64 (.f64 v #s(literal -2 binary64)) (.f64 t1 (.f64 t1 (.f64 t1 t1)))) (/.f64 (/.f64 (.f64 #s(literal 6 binary64) (/.f64 v (.f64 t1 t1))) t1) t1))))) (/.f64 (-.f64 (/.f64 (.f64 v (.f64 u #s(literal 2 binary64))) t1) v) t1))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 v (/.f64 t1 (.f64 u u))))
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))
(/.f64 (-.f64 (/.f64 (.f64 v (.f64 #s(literal 2 binary64) (.f64 t1 t1))) u) (.f64 t1 v)) (*.f64 u u))
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2))
(/.f64 (+.f64 (-.f64 (/.f64 (.f64 v (.f64 #s(literal 2 binary64) (.f64 t1 t1))) u) (.f64 t1 v)) (/.f64 (.f64 (.f64 t1 (.f64 t1 t1)) (.f64 v #s(literal -3 binary64))) (.f64 u u))) (.f64 u u))
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2))
(/.f64 (+.f64 (+.f64 (-.f64 (/.f64 (.f64 v (.f64 #s(literal 2 binary64) (.f64 t1 t1))) u) (.f64 t1 v)) (/.f64 (.f64 (.f64 t1 (.f64 t1 t1)) (.f64 v #s(literal -3 binary64))) (.f64 u u))) (.f64 (/.f64 #s(literal -2 binary64) (.f64 u u)) (+.f64 (/.f64 (.f64 (.f64 v (.f64 t1 (.f64 t1 (.f64 t1 t1)))) #s(literal -3 binary64)) u) (/.f64 (.f64 v (.f64 t1 (.f64 t1 (.f64 t1 t1)))) u)))) (*.f64 u u))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 v (/.f64 t1 (.f64 u u))))
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))
(/.f64 (-.f64 (/.f64 (.f64 v (.f64 #s(literal 2 binary64) (.f64 t1 t1))) u) (.f64 t1 v)) (*.f64 u u))
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u))) (pow u 2))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (.f64 t1 v)) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (.f64 t1 (.f64 t1 v))) (.f64 (.f64 t1 (.f64 t1 (.f64 t1 v))) (/.f64 #s(literal -3 binary64) u))) u)) (*.f64 u u))
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)))) (* 2 (* (pow t1 4) v))) u)) (* (pow t1 3) v))) u))) u))) (pow u 2))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (.f64 t1 v)) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (.f64 t1 (.f64 t1 v))) (/.f64 (-.f64 (.f64 (.f64 t1 (.f64 t1 t1)) (.f64 v #s(literal -3 binary64))) (.f64 (+.f64 (.f64 (.f64 v (.f64 t1 (.f64 t1 (.f64 t1 t1)))) #s(literal -3 binary64)) (.f64 v (.f64 t1 (.f64 t1 (.f64 t1 t1))))) (/.f64 #s(literal 2 binary64) u))) u)) u)) (*.f64 u u))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(pow u 2)
(*.f64 u u)
(+ (* 2 (* t1 u)) (pow u 2))
(.f64 u (+.f64 u (.f64 t1 #s(literal 2 binary64))))
(+ (* t1 (+ t1 (* 2 u))) (pow u 2))
(+.f64 (.f64 u u) (.f64 t1 (+.f64 t1 (*.f64 u #s(literal 2 binary64)))))
(+ (* t1 (+ t1 (* 2 u))) (pow u 2))
(+.f64 (.f64 u u) (.f64 t1 (+.f64 t1 (*.f64 u #s(literal 2 binary64)))))
(pow t1 2)
(*.f64 t1 t1)
(* (pow t1 2) (+ 1 (* 2 (/ u t1))))
(.f64 (.f64 t1 t1) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 u #s(literal 2 binary64)) t1)))
(* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2)))))
(.f64 (.f64 t1 t1) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 u t1) (+.f64 #s(literal 2 binary64) (/.f64 u t1)))))
(* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2)))))
(.f64 (.f64 t1 t1) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 u t1) (+.f64 #s(literal 2 binary64) (/.f64 u t1)))))
(pow t1 2)
(*.f64 t1 t1)
(* (pow t1 2) (+ 1 (* 2 (/ u t1))))
(.f64 (.f64 t1 t1) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 u #s(literal 2 binary64)) t1)))
(* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1))))
(.f64 (.f64 t1 t1) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 u (-.f64 #s(literal -2 binary64) (/.f64 u t1))) t1)))
(* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1))))
(.f64 (.f64 t1 t1) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 u (-.f64 #s(literal -2 binary64) (/.f64 u t1))) t1)))
(pow t1 2)
(*.f64 t1 t1)
(+ (* 2 (* t1 u)) (pow t1 2))
(.f64 t1 (+.f64 t1 (.f64 u #s(literal 2 binary64))))
(+ (* u (+ u (* 2 t1))) (pow t1 2))
(+.f64 (.f64 u u) (.f64 t1 (+.f64 t1 (*.f64 u #s(literal 2 binary64)))))
(+ (* u (+ u (* 2 t1))) (pow t1 2))
(+.f64 (.f64 u u) (.f64 t1 (+.f64 t1 (*.f64 u #s(literal 2 binary64)))))
(pow u 2)
(*.f64 u u)
(* (pow u 2) (+ 1 (* 2 (/ t1 u))))
(.f64 u (.f64 u (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t1 #s(literal 2 binary64)) u))))
(* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2)))))
(.f64 u (.f64 u (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 t1 u) (+.f64 #s(literal 2 binary64) (/.f64 t1 u))))))
(* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2)))))
(.f64 u (.f64 u (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 t1 u) (+.f64 #s(literal 2 binary64) (/.f64 t1 u))))))
(pow u 2)
(*.f64 u u)
(* (pow u 2) (+ 1 (* 2 (/ t1 u))))
(.f64 u (.f64 u (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t1 #s(literal 2 binary64)) u))))
(* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u))))
(.f64 (.f64 u u) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 t1 (-.f64 #s(literal -2 binary64) (/.f64 t1 u))) u)))
(* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u))))
(.f64 (.f64 u u) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 t1 (-.f64 #s(literal -2 binary64) (/.f64 t1 u))) u)))
u
(+ t1 u)
(+.f64 t1 u)
(+ t1 u)
(+.f64 t1 u)
(+ t1 u)
(+.f64 t1 u)
t1
(* t1 (+ 1 (/ u t1)))
(*.f64 t1 (+.f64 #s(literal 1 binary64) (/.f64 u t1)))
(* t1 (+ 1 (/ u t1)))
(*.f64 t1 (+.f64 #s(literal 1 binary64) (/.f64 u t1)))
(* t1 (+ 1 (/ u t1)))
(*.f64 t1 (+.f64 #s(literal 1 binary64) (/.f64 u t1)))
t1
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 t1 (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 t1 (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 t1 (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
t1
(+ t1 u)
(+.f64 t1 u)
(+ t1 u)
(+.f64 t1 u)
(+ t1 u)
(+.f64 t1 u)
u
(* u (+ 1 (/ t1 u)))
(*.f64 u (+.f64 #s(literal 1 binary64) (/.f64 t1 u)))
(* u (+ 1 (/ t1 u)))
(*.f64 u (+.f64 #s(literal 1 binary64) (/.f64 t1 u)))
(* u (+ 1 (/ t1 u)))
(*.f64 u (+.f64 #s(literal 1 binary64) (/.f64 t1 u)))
u
(* -1 (* u (- (* -1 (/ t1 u)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 u (-.f64 #s(literal -1 binary64) (/.f64 t1 u))))
(* -1 (* u (- (* -1 (/ t1 u)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 u (-.f64 #s(literal -1 binary64) (/.f64 t1 u))))
(* -1 (* u (- (* -1 (/ t1 u)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 u (-.f64 #s(literal -1 binary64) (/.f64 t1 u))))
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)

eval95.0ms (0.9%)

Memory: -22.6MiB live, 211.6MiB allocated
Compiler: Compiled 21 612 to 2 115 computations (90.2% saved)

prune120.0ms (1.2%)

Memory

13.5MiB live, 288.6MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	797	10	807
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	798	10	808

Accuracy

100.0%

Counts

808 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(/.f64 (/.f64 t1 (-.f64 #s(literal 0 binary64) (+.f64 t1 u))) (/.f64 (+.f64 t1 u) v))
	54.0%	(/.f64 (-.f64 (/.f64 (.f64 v (.f64 u #s(literal 2 binary64))) t1) v) t1)
▶	80.8%	(/.f64 (-.f64 #s(literal 0 binary64) t1) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)))
	41.6%	(/.f64 (.f64 (neg.f64 t1) v) (.f64 u u))
	95.7%	(/.f64 (.f64 #s(literal 1 binary64) v) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) t1) (+.f64 t1 u)))
▶	57.2%	(-.f64 #s(literal 0 binary64) (/.f64 v t1))
▶	43.4%	(-.f64 #s(literal 0 binary64) (.f64 v (/.f64 t1 (.f64 u u))))
▶	98.3%	(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))
	97.9%	(.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) (.f64 t1 (/.f64 v (+.f64 t1 u))))
▶	81.2%	(*.f64 t1 (neg.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (+.f64 t1 u))))

Compiler

Compiled 284 to 170 computations (40.1% saved)

simplify330.0ms (3.2%)

Memory

-18.7MiB live, 276.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 t1 u)
✓	cost-diff	(*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v))
✓	cost-diff	(-.f64 #s(literal 0 binary64) t1)
✓	cost-diff	(/.f64 (-.f64 #s(literal 0 binary64) t1) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)))
✓	cost-diff	(+.f64 t1 u)
✓	cost-diff	(/.f64 v (+.f64 t1 u))
✓	cost-diff	(/.f64 (/.f64 v (+.f64 t1 u)) (+.f64 t1 u))
✓	cost-diff	(*.f64 t1 (neg.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (+.f64 t1 u))))
✓	cost-diff	(*.f64 u u)
✓	cost-diff	(/.f64 t1 (*.f64 u u))
✓	cost-diff	(.f64 v (/.f64 t1 (.f64 u u)))
✓	cost-diff	(-.f64 #s(literal 0 binary64) (.f64 v (/.f64 t1 (.f64 u u))))
✓	cost-diff	(/.f64 v t1)
✓	cost-diff	(-.f64 #s(literal 0 binary64) (/.f64 v t1))
✓	cost-diff	(+.f64 t1 u)
✓	cost-diff	(-.f64 #s(literal 0 binary64) v)
✓	cost-diff	(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u))
✓	cost-diff	(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))

Rules

5 596×	`accelerator-lowering-fma.f32`
5 596×	`accelerator-lowering-fma.f64`
2 184×	`-lowering-.f32`
2 184×	`-lowering-.f64`
1 200×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	146
1	67	146
2	180	146
3	407	146
4	793	146
5	1316	146
6	2468	146
7	4960	146
8	6330	146
9	7103	146
10	7702	146
11	7827	146
12	7873	146
13	7880	146
0	8013	146

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ (- 0 v) (+ t1 u)) (/ t1 (+ t1 u)))
(/ (- 0 v) (+ t1 u))
(- 0 v)
0
v
(+ t1 u)
t1
u
(/ t1 (+ t1 u))
(- 0 (/ v t1))
0
(/ v t1)
v
t1
(- 0 (* v (/ t1 (* u u))))
0
(* v (/ t1 (* u u)))
v
(/ t1 (* u u))
t1
(* u u)
u
(* t1 (neg (/ (/ v (+ t1 u)) (+ t1 u))))
t1
(neg (/ (/ v (+ t1 u)) (+ t1 u)))
(/ (/ v (+ t1 u)) (+ t1 u))
(/ v (+ t1 u))
v
(+ t1 u)
u
(/ (- 0 t1) (* (+ t1 u) (/ (+ t1 u) v)))
(- 0 t1)
0
t1
(* (+ t1 u) (/ (+ t1 u) v))
(+ t1 u)
u
(/ (+ t1 u) v)
v

Outputs
(* (/ (- 0 v) (+ t1 u)) (/ t1 (+ t1 u)))
(/.f64 (/.f64 t1 (+.f64 t1 u)) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) v)))
(/ (- 0 v) (+ t1 u))
(-.f64 #s(literal 0 binary64) (/.f64 v (+.f64 t1 u)))
(- 0 v)
(-.f64 #s(literal 0 binary64) v)
0
#s(literal 0 binary64)
v
(+ t1 u)
(+.f64 t1 u)
t1
u
(/ t1 (+ t1 u))
(/.f64 t1 (+.f64 t1 u))
(- 0 (/ v t1))
(/.f64 v (-.f64 #s(literal 0 binary64) t1))
0
#s(literal 0 binary64)
(/ v t1)
(/.f64 v t1)
v
t1
(- 0 (* v (/ t1 (* u u))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 t1 (/.f64 u v)) u))
0
#s(literal 0 binary64)
(* v (/ t1 (* u u)))
(/.f64 (/.f64 t1 (/.f64 u v)) u)
v
(/ t1 (* u u))
(/.f64 t1 (*.f64 u u))
t1
(* u u)
(*.f64 u u)
u
(* t1 (neg (/ (/ v (+ t1 u)) (+ t1 u))))
(/.f64 (/.f64 t1 (+.f64 t1 u)) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) v)))
t1
(neg (/ (/ v (+ t1 u)) (+ t1 u)))
(/.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(/ (/ v (+ t1 u)) (+ t1 u))
(/.f64 (/.f64 v (+.f64 t1 u)) (+.f64 t1 u))
(/ v (+ t1 u))
(/.f64 v (+.f64 t1 u))
v
(+ t1 u)
(+.f64 t1 u)
u
(/ (- 0 t1) (* (+ t1 u) (/ (+ t1 u) v)))
(/.f64 (/.f64 t1 (+.f64 t1 u)) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) v)))
(- 0 t1)
(-.f64 #s(literal 0 binary64) t1)
0
#s(literal 0 binary64)
t1
(* (+ t1 u) (/ (+ t1 u) v))
(*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v))
(+ t1 u)
(+.f64 t1 u)
u
(/ (+ t1 u) v)
(/.f64 (+.f64 t1 u) v)
v

localize81.0ms (0.8%)

Memory

22.7MiB live, 180.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 t1 u)
✓	accuracy	100.0%	(/.f64 (+.f64 t1 u) v)
✓	accuracy	99.8%	(*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v))
✓	accuracy	80.8%	(/.f64 (-.f64 #s(literal 0 binary64) t1) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)))
✓	accuracy	100.0%	(neg.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (+.f64 t1 u)))
✓	accuracy	100.0%	(/.f64 v (+.f64 t1 u))
✓	accuracy	99.8%	(/.f64 (/.f64 v (+.f64 t1 u)) (+.f64 t1 u))
✓	accuracy	81.2%	(*.f64 t1 (neg.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (+.f64 t1 u))))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (.f64 v (/.f64 t1 (.f64 u u))))
✓	accuracy	100.0%	(*.f64 u u)
✓	accuracy	91.9%	(.f64 v (/.f64 t1 (.f64 u u)))
✓	accuracy	87.7%	(/.f64 t1 (*.f64 u u))
✓	accuracy	100.0%	(/.f64 v t1)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (/.f64 v t1))
✓	accuracy	100.0%	(+.f64 t1 u)
✓	accuracy	100.0%	(/.f64 t1 (+.f64 t1 u))
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u))
✓	accuracy	98.3%	(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))

Samples

51.0ms

256×

valid

Compiler

Compiled 155 to 25 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-div: 16.0ms (46.6% of total)

ival-mult: 8.0ms (23.3% of total)

ival-sub: 5.0ms (14.6% of total)

ival-neg: 4.0ms (11.6% of total)

ival-add: 1.0ms (2.9% of total)

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

exact: 0.0ms (0% of total)

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

series41.0ms (0.4%)

Memory

-20.2MiB live, 95.6MiB allocated

Counts

19 → 552

Calls

Call 1

Inputs
#<alt (* (/ (- 0 v) (+ t1 u)) (/ t1 (+ t1 u)))>
#<alt (/ (- 0 v) (+ t1 u))>
#<alt (- 0 v)>
#<alt (+ t1 u)>
#<alt (- 0 (/ v t1))>
#<alt (/ v t1)>
#<alt (- 0 (* v (/ t1 (* u u))))>
#<alt (* v (/ t1 (* u u)))>
#<alt (/ t1 (* u u))>
#<alt (* u u)>
#<alt (* t1 (neg (/ (/ v (+ t1 u)) (+ t1 u))))>
#<alt (/ (/ v (+ t1 u)) (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ (- 0 t1) (* (+ t1 u) (/ (+ t1 u) v)))>
#<alt (- 0 t1)>
#<alt (* (+ t1 u) (/ (+ t1 u) v))>
#<alt (/ t1 (+ t1 u))>
#<alt (neg (/ (/ v (+ t1 u)) (+ t1 u)))>
#<alt (/ (+ t1 u) v)>

Outputs
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3)))))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))))))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4)))))))))>
#<alt (* -1 (/ v t1))>
#<alt (/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)>
#<alt (/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1)>
#<alt (/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1)>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1))>
#<alt (* -1 (/ v t1))>
#<alt (+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))>
#<alt (+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3)))))))>
#<alt (+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3))))))))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))>
#<alt (/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2))>
#<alt (/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))>
#<alt (/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u))) (pow u 2))>
#<alt (/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)))) (* 2 (* (pow t1 4) v))) u)) (* (pow t1 3) v))) u))) u))) (pow u 2))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v u))>
#<alt (+ (* -1 (/ v u)) (/ (* t1 v) (pow u 2)))>
#<alt (+ (* -1 (/ v u)) (* t1 (+ (* -1 (/ (* t1 v) (pow u 3))) (/ v (pow u 2)))))>
#<alt (+ (* -1 (/ v u)) (* t1 (+ (* t1 (+ (* -1 (/ v (pow u 3))) (/ (* t1 v) (pow u 4)))) (/ v (pow u 2)))))>
#<alt (* -1 (/ v t1))>
#<alt (/ (+ (* -1 v) (/ (* u v) t1)) t1)>
#<alt (/ (+ (* -1 v) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1))) t1)>
#<alt (/ (+ (* -1 v) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (+ (/ (* u v) t1) (/ (* (pow u 3) v) (pow t1 3))))) t1)>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (* u v) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (* (pow u 2) v) t1)) (* u v)) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow u 3) v) t1)) (* (pow u 2) v)) t1)) (* u v)) t1))) t1))>
#<alt (* -1 (/ v t1))>
#<alt (+ (* -1 (/ v t1)) (/ (* u v) (pow t1 2)))>
#<alt (+ (* -1 (/ v t1)) (* u (+ (* -1 (/ (* u v) (pow t1 3))) (/ v (pow t1 2)))))>
#<alt (+ (* -1 (/ v t1)) (* u (+ (* u (+ (* -1 (/ v (pow t1 3))) (/ (* u v) (pow t1 4)))) (/ v (pow t1 2)))))>
#<alt (* -1 (/ v u))>
#<alt (/ (+ (* -1 v) (/ (* t1 v) u)) u)>
#<alt (/ (+ (* -1 v) (+ (* -1 (/ (* (pow t1 2) v) (pow u 2))) (/ (* t1 v) u))) u)>
#<alt (/ (+ (* -1 v) (+ (* -1 (/ (* (pow t1 2) v) (pow u 2))) (+ (/ (* t1 v) u) (/ (* (pow t1 3) v) (pow u 3))))) u)>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ (+ v (* -1 (/ (* t1 v) u))) u))>
#<alt (* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (* (pow t1 2) v) u)) (* t1 v)) u))) u))>
#<alt (* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow t1 3) v) u)) (* (pow t1 2) v)) u)) (* t1 v)) u))) u))>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt u>
#<alt (+ t1 u)>
#<alt (+ t1 u)>
#<alt (+ t1 u)>
#<alt t1>
#<alt (* t1 (+ 1 (/ u t1)))>
#<alt (* t1 (+ 1 (/ u t1)))>
#<alt (* t1 (+ 1 (/ u t1)))>
#<alt t1>
#<alt (* -1 (* t1 (- (* -1 (/ u t1)) 1)))>
#<alt (* -1 (* t1 (- (* -1 (/ u t1)) 1)))>
#<alt (* -1 (* t1 (- (* -1 (/ u t1)) 1)))>
#<alt t1>
#<alt (+ t1 u)>
#<alt (+ t1 u)>
#<alt (+ t1 u)>
#<alt u>
#<alt (* u (+ 1 (/ t1 u)))>
#<alt (* u (+ 1 (/ t1 u)))>
#<alt (* u (+ 1 (/ t1 u)))>
#<alt u>
#<alt (* -1 (* u (- (* -1 (/ t1 u)) 1)))>
#<alt (* -1 (* u (- (* -1 (/ t1 u)) 1)))>
#<alt (* -1 (* u (- (* -1 (/ t1 u)) 1)))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ t1 (pow u 2))>
#<alt (/ t1 (pow u 2))>
#<alt (/ t1 (pow u 2))>
#<alt (/ t1 (pow u 2))>
#<alt (/ t1 (pow u 2))>
#<alt (/ t1 (pow u 2))>
#<alt (/ t1 (pow u 2))>
#<alt (/ t1 (pow u 2))>
#<alt (/ t1 (pow u 2))>
#<alt (/ t1 (pow u 2))>
#<alt (/ t1 (pow u 2))>
#<alt (/ t1 (pow u 2))>
#<alt (/ t1 (pow u 2))>
#<alt (/ t1 (pow u 2))>
#<alt (/ t1 (pow u 2))>
#<alt (/ t1 (pow u 2))>
#<alt (/ t1 (pow u 2))>
#<alt (/ t1 (pow u 2))>
#<alt (/ t1 (pow u 2))>
#<alt (/ t1 (pow u 2))>
#<alt (/ t1 (pow u 2))>
#<alt (/ t1 (pow u 2))>
#<alt (/ t1 (pow u 2))>
#<alt (/ t1 (pow u 2))>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3)))))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))))))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4)))))))))>
#<alt (* -1 (/ v t1))>
#<alt (/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)>
#<alt (/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1)>
#<alt (/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1)>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
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#<alt (/ t1 v)>
#<alt (* -1 (* t1 (- (* -1 (/ u (* t1 v))) (/ 1 v))))>
#<alt (* -1 (* t1 (- (* -1 (/ u (* t1 v))) (/ 1 v))))>
#<alt (* -1 (* t1 (- (* -1 (/ u (* t1 v))) (/ 1 v))))>
#<alt (/ t1 v)>
#<alt (+ (/ t1 v) (/ u v))>
#<alt (+ (/ t1 v) (/ u v))>
#<alt (+ (/ t1 v) (/ u v))>
#<alt (/ u v)>
#<alt (* u (+ (/ 1 v) (/ t1 (* u v))))>
#<alt (* u (+ (/ 1 v) (/ t1 (* u v))))>
#<alt (* u (+ (/ 1 v) (/ t1 (* u v))))>
#<alt (/ u v)>
#<alt (* -1 (* u (- (* -1 (/ t1 (* u v))) (/ 1 v))))>
#<alt (* -1 (* u (- (* -1 (/ t1 (* u v))) (/ 1 v))))>
#<alt (* -1 (* u (- (* -1 (/ t1 (* u v))) (/ 1 v))))>
#<alt (/ (+ t1 u) v)>
#<alt (/ (+ t1 u) v)>
#<alt (/ (+ t1 u) v)>
#<alt (/ (+ t1 u) v)>
#<alt (/ (+ t1 u) v)>
#<alt (/ (+ t1 u) v)>
#<alt (/ (+ t1 u) v)>
#<alt (/ (+ t1 u) v)>
#<alt (/ (+ t1 u) v)>
#<alt (/ (+ t1 u) v)>
#<alt (/ (+ t1 u) v)>
#<alt (/ (+ t1 u) v)>

Calls

138 calls:

Time	Variable		Point	Expression
3.0ms	u	@	0	(- 0 (* v (/ t1 (* u u))))
3.0ms	t1	@	0	(/ v (+ t1 u))
2.0ms	v	@	inf	(- 0 (/ v t1))
1.0ms	t1	@	inf	(/ v (+ t1 u))
1.0ms	v	@	inf	(/ (- 0 v) (+ t1 u))

rewrite391.0ms (3.7%)

Memory

46.7MiB live, 1 032.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 994×	`/-lowering-/.f32`
5 994×	`/-lowering-/.f64`
4 194×	`-lowering-.f32`
4 194×	`-lowering-.f64`
1 956×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	122
1	168	110
2	1651	110
0	8271	110

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 2 068

Calls

Call 1

Inputs
(* (/ (- 0 v) (+ t1 u)) (/ t1 (+ t1 u)))
(/ (- 0 v) (+ t1 u))
(- 0 v)
(+ t1 u)
(- 0 (/ v t1))
(/ v t1)
(- 0 (* v (/ t1 (* u u))))
(* v (/ t1 (* u u)))
(/ t1 (* u u))
(* u u)
(* t1 (neg (/ (/ v (+ t1 u)) (+ t1 u))))
(/ (/ v (+ t1 u)) (+ t1 u))
(/ v (+ t1 u))
(/ (- 0 t1) (* (+ t1 u) (/ (+ t1 u) v)))
(- 0 t1)
(* (+ t1 u) (/ (+ t1 u) v))
(/ t1 (+ t1 u))
(neg (/ (/ v (+ t1 u)) (+ t1 u)))
(/ (+ t1 u) v)

Outputs
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 t1 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 t1 u) (.f64 v (-.f64 #s(literal 0 binary64) (/.f64 t1 (+.f64 t1 u)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 t1 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 t1 u) v) #s(literal -1 binary64))) (/.f64 t1 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 t1 t1)) (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))) (/.f64 t1 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (+.f64 t1 u) (/.f64 v (-.f64 #s(literal 0 binary64) (+.f64 t1 u)))))) (/.f64 t1 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 t1 t1)) (neg.f64 (/.f64 (+.f64 t1 u) (/.f64 v (-.f64 #s(literal 0 binary64) (+.f64 t1 u)))))) (/.f64 t1 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) t1)) (/.f64 (/.f64 v (+.f64 t1 u)) (/.f64 (+.f64 t1 u) t1)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))) (.f64 t1 t1))) (/.f64 (.f64 t1 (.f64 t1 t1)) (.f64 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))) (.f64 t1 t1))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))) t1)) (/.f64 (.f64 t1 t1) (*.f64 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))) t1)))
(-.f64 (/.f64 (.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))) (.f64 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))) (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))))) (/.f64 (.f64 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))) t1) (.f64 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))) (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 t1 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))) (/.f64 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))) t1)) (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))) t1))))) (/.f64 (*.f64 (/.f64 t1 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))) (/.f64 (/.f64 t1 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))) (/.f64 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))) t1))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 t1 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))) (/.f64 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))) t1)) (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))) t1))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (/.f64 t1 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))))) (/.f64 (/.f64 (/.f64 t1 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))) (/.f64 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))) t1)) (+.f64 #s(literal 0 binary64) (/.f64 t1 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))))))
(neg.f64 (/.f64 t1 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))))
(/.f64 v (neg.f64 (*.f64 (/.f64 (+.f64 t1 u) t1) (+.f64 t1 u))))
(/.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 (/.f64 (+.f64 t1 u) t1) (+.f64 t1 u)))
(/.f64 t1 (/.f64 (+.f64 t1 u) (/.f64 v (-.f64 #s(literal 0 binary64) (+.f64 t1 u)))))
(/.f64 t1 (neg.f64 (neg.f64 (/.f64 (+.f64 t1 u) (/.f64 v (-.f64 #s(literal 0 binary64) (+.f64 t1 u)))))))
(/.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 (/.f64 (+.f64 t1 u) v) #s(literal -1 binary64)))
(/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1)))
(/.f64 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 #s(literal -1 binary64) t1))
(/.f64 (-.f64 #s(literal 0 binary64) t1) (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))))
(/.f64 (-.f64 #s(literal 0 binary64) t1) (neg.f64 (/.f64 (+.f64 t1 u) (/.f64 v (-.f64 #s(literal 0 binary64) (+.f64 t1 u))))))
(/.f64 (/.f64 t1 (/.f64 #s(literal -1 binary64) v)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(/.f64 (/.f64 t1 (/.f64 #s(literal -1 binary64) v)) (neg.f64 (*.f64 (+.f64 t1 u) (-.f64 #s(literal 0 binary64) (+.f64 t1 u)))))
(/.f64 (/.f64 t1 (/.f64 #s(literal -1 binary64) v)) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) (+.f64 t1 u))))
(/.f64 (/.f64 v (-.f64 #s(literal 0 binary64) (+.f64 t1 u))) (/.f64 (+.f64 t1 u) t1))
(/.f64 (.f64 t1 (.f64 t1 t1)) (neg.f64 (.f64 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))) (.f64 t1 t1))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) t1) (.f64 t1 t1)) (.f64 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))) (.f64 t1 t1)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t1 u) (*.f64 v (-.f64 #s(literal 0 binary64) (/.f64 t1 (+.f64 t1 u))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 t1 u) (*.f64 v (-.f64 #s(literal 0 binary64) (/.f64 t1 (+.f64 t1 u))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))) (.f64 t1 t1)) (.f64 (-.f64 #s(literal 0 binary64) t1) (.f64 t1 t1))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))) t1) (-.f64 #s(literal 0 binary64) (.f64 t1 t1))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 t1 u) (-.f64 #s(literal 0 binary64) (+.f64 t1 u))) (.f64 v t1)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) (+.f64 t1 u)) (.f64 v t1)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))) (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))) (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))) (*.f64 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))) t1))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 t1 t1) (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) t1) (*.f64 t1 t1)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 t1 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 t1)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))) (/.f64 v #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 t1 u) (/.f64 t1 (+.f64 t1 u))) (*.f64 (-.f64 #s(literal 0 binary64) v) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 t1 u) (-.f64 #s(literal 0 binary64) (+.f64 t1 u))) (/.f64 (-.f64 #s(literal 0 binary64) v) (/.f64 #s(literal -1 binary64) t1))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 t1 u) (/.f64 v (-.f64 #s(literal 0 binary64) (+.f64 t1 u)))) (*.f64 #s(literal 1 binary64) t1)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 t1 u) (/.f64 v (-.f64 #s(literal 0 binary64) (+.f64 t1 u)))) (/.f64 t1 #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) (+.f64 t1 u)) (/.f64 (-.f64 #s(literal 0 binary64) t1) (/.f64 #s(literal -1 binary64) v))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))) (*.f64 (-.f64 #s(literal 0 binary64) t1) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (+.f64 t1 u) t1) (+.f64 t1 u)) (-.f64 #s(literal 0 binary64) v)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (+.f64 t1 u) t1) (-.f64 #s(literal 0 binary64) (+.f64 t1 u))) (.f64 #s(literal 1 binary64) v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 t1 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))) (/.f64 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))) t1)) (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))) t1)))) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 t1 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))) (/.f64 (/.f64 t1 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))) (/.f64 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))) t1))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 t1 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 t1 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))) (/.f64 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))) t1)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (/.f64 v (/.f64 #s(literal -1 binary64) t1))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) (/.f64 (/.f64 v (-.f64 #s(literal 0 binary64) (+.f64 t1 u))) (/.f64 #s(literal -1 binary64) t1))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 t1 u) t1) (*.f64 (/.f64 v (-.f64 #s(literal 0 binary64) (+.f64 t1 u))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) (*.f64 (/.f64 t1 (+.f64 t1 u)) v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (+.f64 t1 u) v) #s(literal -1 binary64)) (*.f64 (/.f64 t1 (+.f64 t1 u)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 t1 t1) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) t1) (*.f64 t1 t1)) (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))))))
(/.f64 #s(literal 1 binary64) (/.f64 t1 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 t1)) (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) (/.f64 v (/.f64 (+.f64 t1 u) t1))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) (*.f64 (/.f64 v (+.f64 t1 u)) t1)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (/.f64 t1 (+.f64 t1 u)) (-.f64 #s(literal 0 binary64) (+.f64 t1 u)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 t1 u) (*.f64 v (-.f64 #s(literal 0 binary64) (/.f64 t1 (+.f64 t1 u)))))))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))) t1))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 t1 t1)) (.f64 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))) t1))
(/.f64 (*.f64 v (-.f64 #s(literal 0 binary64) (/.f64 t1 (+.f64 t1 u)))) (+.f64 t1 u))
(/.f64 (*.f64 v (-.f64 #s(literal 0 binary64) (/.f64 t1 (+.f64 t1 u)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u))))
(/.f64 (.f64 v t1) (.f64 (+.f64 t1 u) (-.f64 #s(literal 0 binary64) (+.f64 t1 u))))
(/.f64 (.f64 v t1) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) (+.f64 t1 u)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 t1 (+.f64 t1 u))) (/.f64 (+.f64 t1 u) v))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))) (.f64 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))) t1)) (*.f64 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))) (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) t1) (.f64 t1 t1)) #s(literal 1 binary64)) (.f64 (*.f64 t1 t1) (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 t1 t1)) #s(literal 1 binary64)) (*.f64 t1 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) v) #s(literal 1 binary64)) (/.f64 (+.f64 t1 u) (/.f64 t1 (+.f64 t1 u))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) (/.f64 #s(literal -1 binary64) t1)) (*.f64 (+.f64 t1 u) (-.f64 #s(literal 0 binary64) (+.f64 t1 u))))
(/.f64 (*.f64 #s(literal 1 binary64) t1) (/.f64 (+.f64 t1 u) (/.f64 v (-.f64 #s(literal 0 binary64) (+.f64 t1 u)))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) t1) (/.f64 #s(literal -1 binary64) v)) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) (+.f64 t1 u)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) t1) #s(literal 1 binary64)) (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))))
(/.f64 (.f64 #s(literal 1 binary64) v) (.f64 (/.f64 (+.f64 t1 u) t1) (-.f64 #s(literal 0 binary64) (+.f64 t1 u))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 t1 t1))) (neg.f64 (.f64 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))) t1)))
(/.f64 (neg.f64 (/.f64 t1 (/.f64 #s(literal -1 binary64) v))) (neg.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(/.f64 (neg.f64 (*.f64 v (-.f64 #s(literal 0 binary64) (/.f64 t1 (+.f64 t1 u))))) (-.f64 #s(literal 0 binary64) (+.f64 t1 u)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 t1 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))) (/.f64 (/.f64 t1 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))) (/.f64 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))) t1)))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 t1 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))) (/.f64 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))) t1)) (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))) t1)))))
(/.f64 (/.f64 v #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u))))
(/.f64 (/.f64 t1 #s(literal 1 binary64)) (/.f64 (+.f64 t1 u) (/.f64 v (-.f64 #s(literal 0 binary64) (+.f64 t1 u)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 t1 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))) (/.f64 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))) t1))) (+.f64 #s(literal 0 binary64) (/.f64 t1 (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))))))
(/.f64 (*.f64 t1 #s(literal -1 binary64)) (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u))))
(/.f64 (/.f64 v (/.f64 #s(literal -1 binary64) t1)) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(/.f64 (/.f64 (/.f64 v (-.f64 #s(literal 0 binary64) (+.f64 t1 u))) (/.f64 #s(literal -1 binary64) t1)) (-.f64 #s(literal 0 binary64) (+.f64 t1 u)))
(/.f64 (*.f64 (/.f64 v (-.f64 #s(literal 0 binary64) (+.f64 t1 u))) #s(literal 1 binary64)) (/.f64 (+.f64 t1 u) t1))
(/.f64 (*.f64 (/.f64 t1 (+.f64 t1 u)) v) (-.f64 #s(literal 0 binary64) (+.f64 t1 u)))
(/.f64 (*.f64 (/.f64 t1 (+.f64 t1 u)) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 t1 u) v) #s(literal -1 binary64)))
(/.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) t1) (.f64 t1 t1)) (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))) (*.f64 t1 t1))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 t1)) (/.f64 (+.f64 t1 u) (/.f64 v (+.f64 t1 u)))) t1)
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simplify473.0ms (4.5%)

Memory

-34.4MiB live, 829.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 250×	`accelerator-lowering-fma.f32`
9 250×	`accelerator-lowering-fma.f64`
4 738×	`-lowering-.f32`
4 738×	`-lowering-.f64`
3 756×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	692	6605
1	2188	6331
2	6901	6251
0	8043	6068

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

Calls

Call 1

Inputs
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3)))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))))))
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Outputs
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1
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1
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1
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(* -1 (/ v (pow t1 2)))
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(/ (- (* 2 (/ (* u v) t1)) v) (pow t1 2))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 v u)) t1) v) (*.f64 t1 t1))
(/ (- (* -1 (/ (+ (* -2 (* u v)) (* -1 (/ (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v)) t1))) t1)) v) (pow t1 2))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) v) (/.f64 (-.f64 (.f64 v (.f64 u #s(literal -2 binary64))) (.f64 (.f64 #s(literal -3 binary64) (.f64 u u)) (/.f64 v t1))) t1)) (.f64 t1 t1))
(/ (- (* -1 (/ (+ (* -2 (* u v)) (* -1 (/ (+ (* -4 (* (pow u 2) v)) (+ (* -1 (/ (+ (* 2 (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v)))) (* 2 (* (pow u 3) v))) t1)) (* (pow u 2) v))) t1))) t1)) v) (pow t1 2))
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(- (* u (+ (* 2 (/ v (pow t1 3))) (* u (+ (* -4 (/ v (pow t1 4))) (/ v (pow t1 4)))))) (/ v (pow t1 2)))
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(* -1 (/ v (pow u 2)))
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(/.f64 (-.f64 (/.f64 (.f64 (.f64 t1 v) #s(literal 2 binary64)) u) v) (*.f64 u u))
(/ (- (+ (* -4 (/ (* (pow t1 2) v) (pow u 2))) (+ (* 2 (/ (* t1 v) u)) (/ (* (pow t1 2) v) (pow u 2)))) v) (pow u 2))
(/.f64 (+.f64 (+.f64 (.f64 t1 (.f64 t1 (/.f64 v (.f64 u u)))) (/.f64 (.f64 (.f64 t1 v) #s(literal 2 binary64)) u)) (-.f64 (/.f64 (/.f64 (.f64 #s(literal -4 binary64) (.f64 t1 (.f64 t1 v))) u) u) v)) (*.f64 u u))
(/ (- (+ (* -4 (/ (* (pow t1 2) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 2) v)) (* (pow t1 2) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 3) v) (pow u 3))) (+ (* 2 (/ (* t1 v) u)) (/ (* (pow t1 2) v) (pow u 2)))))) v) (pow u 2))
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(* -1 (/ v (pow u 2)))
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(/ (- (* 2 (/ (* t1 v) u)) v) (pow u 2))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 t1 v) #s(literal 2 binary64)) u) v) (*.f64 u u))
(/ (- (* -1 (/ (+ (* -2 (* t1 v)) (* -1 (/ (+ (* -4 (* (pow t1 2) v)) (* (pow t1 2) v)) u))) u)) v) (pow u 2))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) v) (/.f64 (-.f64 (.f64 t1 (.f64 v #s(literal -2 binary64))) (.f64 (/.f64 (.f64 t1 (.f64 t1 v)) u) #s(literal -3 binary64))) u)) (.f64 u u))
(/ (- (* -1 (/ (+ (* -2 (* t1 v)) (* -1 (/ (+ (* -4 (* (pow t1 2) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 2) v)) (* (pow t1 2) v)))) (* 2 (* (pow t1 3) v))) u)) (* (pow t1 2) v))) u))) u)) v) (pow u 2))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) v) (/.f64 (-.f64 (.f64 t1 (.f64 v #s(literal -2 binary64))) (/.f64 (+.f64 (.f64 (.f64 t1 (.f64 t1 v)) #s(literal -3 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (+.f64 (.f64 t1 (.f64 t1 (.f64 t1 v))) (.f64 (.f64 t1 (.f64 t1 (.f64 t1 v))) #s(literal -3 binary64)))) u)) u)) u)) (.f64 u u))
(/ u v)
(/.f64 u v)
(+ (/ t1 v) (/ u v))
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(.f64 t1 (+.f64 (/.f64 u (.f64 t1 v)) (/.f64 #s(literal 1 binary64) v)))
(* t1 (+ (/ 1 v) (/ u (* t1 v))))
(.f64 t1 (+.f64 (/.f64 u (.f64 t1 v)) (/.f64 #s(literal 1 binary64) v)))
(* t1 (+ (/ 1 v) (/ u (* t1 v))))
(.f64 t1 (+.f64 (/.f64 u (.f64 t1 v)) (/.f64 #s(literal 1 binary64) v)))
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(+ (/ t1 v) (/ u v))
(+.f64 (/.f64 u v) (/.f64 t1 v))
(/ u v)
(/.f64 u v)
(* u (+ (/ 1 v) (/ t1 (* u v))))
(.f64 u (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 t1 (.f64 v u))))
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(.f64 u (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 t1 (.f64 v u))))
(* u (+ (/ 1 v) (/ t1 (* u v))))
(.f64 u (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 t1 (.f64 v u))))
(/ u v)
(/.f64 u v)
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(/.f64 (+.f64 t1 u) v)
(/ (+ t1 u) v)
(/.f64 (+.f64 t1 u) v)
(/ (+ t1 u) v)
(/.f64 (+.f64 t1 u) v)
(/ (+ t1 u) v)
(/.f64 (+.f64 t1 u) v)
(/ (+ t1 u) v)
(/.f64 (+.f64 t1 u) v)
(/ (+ t1 u) v)
(/.f64 (+.f64 t1 u) v)
(/ (+ t1 u) v)
(/.f64 (+.f64 t1 u) v)
(/ (+ t1 u) v)
(/.f64 (+.f64 t1 u) v)
(/ (+ t1 u) v)
(/.f64 (+.f64 t1 u) v)
(/ (+ t1 u) v)
(/.f64 (+.f64 t1 u) v)
(/ (+ t1 u) v)
(/.f64 (+.f64 t1 u) v)

eval391.0ms (3.7%)

Memory: 9.7MiB live, 660.9MiB allocated
Compiler: Compiled 60 702 to 5 725 computations (90.6% saved)

prune348.0ms (3.3%)

Memory

18.5MiB live, 623.8MiB allocated

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	2 946	14	2 960
Fresh	3	2	5
Picked	4	1	5
Done	0	0	0
Total	2 953	17	2 970

Accuracy

100.0%

Counts

2 970 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.9%	(/.f64 (/.f64 v (/.f64 (+.f64 t1 u) t1)) (-.f64 #s(literal 0 binary64) (+.f64 t1 u)))
▶	98.3%	(/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1)))
▶	54.0%	(/.f64 (-.f64 (/.f64 (.f64 v (.f64 u #s(literal 2 binary64))) t1) v) t1)
	41.6%	(/.f64 (.f64 (neg.f64 t1) v) (.f64 u u))
	80.8%	(/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)))
▶	47.8%	(/.f64 v (neg.f64 (/.f64 u (/.f64 t1 u))))
	57.3%	(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
▶	46.1%	(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 v t1) u) u))
	51.3%	(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 v u) (/.f64 u t1)))
	56.3%	(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u)) (/.f64 t1 u))
	64.5%	(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u)) #s(literal 1 binary64))
	51.4%	(*.f64 (/.f64 v (neg.f64 u)) (/.f64 t1 u))
	57.0%	(*.f64 v (/.f64 #s(literal -1 binary64) t1))
✓	81.2%	(*.f64 t1 (neg.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (+.f64 t1 u))))
	55.3%	(*.f64 t1 (neg.f64 (/.f64 (/.f64 v (+.f64 t1 u)) u)))
	53.6%	(*.f64 t1 (neg.f64 (/.f64 (/.f64 v (+.f64 t1 u)) t1)))
▶	57.2%	(neg.f64 (/.f64 v t1))

Compiler

Compiled 399 to 252 computations (36.8% saved)

simplify261.0ms (2.5%)

Memory

-11.5MiB live, 378.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 v (.f64 u #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 (.f64 v (.f64 u #s(literal 2 binary64))) t1)
✓	cost-diff	0	(-.f64 (/.f64 (.f64 v (.f64 u #s(literal 2 binary64))) t1) v)
✓	cost-diff	0	(/.f64 (-.f64 (/.f64 (.f64 v (.f64 u #s(literal 2 binary64))) t1) v) t1)
✓	cost-diff	0	(*.f64 v t1)
✓	cost-diff	0	(/.f64 (*.f64 v t1) u)
✓	cost-diff	0	(/.f64 (/.f64 (*.f64 v t1) u) u)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 v t1) u) u))
✓	cost-diff	-64	(neg.f64 (/.f64 u (/.f64 t1 u)))
✓	cost-diff	0	(/.f64 t1 u)
✓	cost-diff	0	(/.f64 u (/.f64 t1 u))
✓	cost-diff	0	(/.f64 v (neg.f64 (/.f64 u (/.f64 t1 u))))
✓	cost-diff	-64	(neg.f64 (/.f64 v t1))
✓	cost-diff	0	(/.f64 v t1)
✓	cost-diff	0	(+.f64 t1 u)
✓	cost-diff	0	(/.f64 v (+.f64 t1 u))
✓	cost-diff	0	(/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1)))
✓	cost-diff	64	(neg.f64 (/.f64 (+.f64 t1 u) t1))

Rules

7 168×	`accelerator-lowering-fma.f32`
7 168×	`accelerator-lowering-fma.f64`
3 438×	`-lowering-.f32`
3 438×	`-lowering-.f64`
1 778×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	134
1	67	134
2	177	134
3	508	134
4	1051	132
5	1738	132
6	4135	132
7	7134	132
0	8276	130

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ v (+ t1 u)) (neg (/ (+ t1 u) t1)))
(/ v (+ t1 u))
v
(+ t1 u)
t1
u
(neg (/ (+ t1 u) t1))
(/ (+ t1 u) t1)
(neg (/ v t1))
(/ v t1)
v
t1
(/ v (neg (/ u (/ t1 u))))
v
(neg (/ u (/ t1 u)))
(/ u (/ t1 u))
u
(/ t1 u)
t1
(- 0 (/ (/ (* v t1) u) u))
0
(/ (/ (* v t1) u) u)
(/ (* v t1) u)
(* v t1)
v
t1
u
(/ (- (/ (* v (* u 2)) t1) v) t1)
(- (/ (* v (* u 2)) t1) v)
(/ (* v (* u 2)) t1)
(* v (* u 2))
v
(* u 2)
u
2
t1

Outputs
(/ (/ v (+ t1 u)) (neg (/ (+ t1 u) t1)))
(/.f64 v (*.f64 (+.f64 t1 u) (-.f64 #s(literal -1 binary64) (/.f64 u t1))))
(/ v (+ t1 u))
(/.f64 v (+.f64 t1 u))
v
(+ t1 u)
(+.f64 t1 u)
t1
u
(neg (/ (+ t1 u) t1))
(-.f64 #s(literal -1 binary64) (/.f64 u t1))
(/ (+ t1 u) t1)
(+.f64 (/.f64 u t1) #s(literal 1 binary64))
(neg (/ v t1))
(-.f64 #s(literal 0 binary64) (/.f64 v t1))
(/ v t1)
(/.f64 v t1)
v
t1
(/ v (neg (/ u (/ t1 u))))
(-.f64 #s(literal 0 binary64) (/.f64 v (/.f64 u (/.f64 t1 u))))
v
(neg (/ u (/ t1 u)))
(-.f64 #s(literal 0 binary64) (/.f64 u (/.f64 t1 u)))
(/ u (/ t1 u))
(/.f64 u (/.f64 t1 u))
u
(/ t1 u)
(/.f64 t1 u)
t1
(- 0 (/ (/ (* v t1) u) u))
(-.f64 #s(literal 0 binary64) (/.f64 v (/.f64 u (/.f64 t1 u))))
0
#s(literal 0 binary64)
(/ (/ (* v t1) u) u)
(/.f64 v (/.f64 u (/.f64 t1 u)))
(/ (* v t1) u)
(/.f64 v (/.f64 u t1))
(* v t1)
(*.f64 v t1)
v
t1
u
(/ (- (/ (* v (* u 2)) t1) v) t1)
(*.f64 v (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 t1 u))) t1))
(- (/ (* v (* u 2)) t1) v)
(*.f64 v (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 t1 u))))
(/ (* v (* u 2)) t1)
(*.f64 v (/.f64 #s(literal 2 binary64) (/.f64 t1 u)))
(* v (* u 2))
(.f64 v (.f64 u #s(literal 2 binary64)))
v
(* u 2)
(*.f64 u #s(literal 2 binary64))
u
2
#s(literal 2 binary64)
t1

localize95.0ms (0.9%)

Memory

8.8MiB live, 125.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 u #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 (/.f64 (.f64 v (.f64 u #s(literal 2 binary64))) t1) v)
✓	accuracy	99.1%	(/.f64 (-.f64 (/.f64 (.f64 v (.f64 u #s(literal 2 binary64))) t1) v) t1)
✓	accuracy	92.8%	(/.f64 (.f64 v (.f64 u #s(literal 2 binary64))) t1)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 v t1) u) u))
✓	accuracy	100.0%	(*.f64 v t1)
✓	accuracy	98.3%	(/.f64 (/.f64 (*.f64 v t1) u) u)
✓	accuracy	92.0%	(/.f64 (*.f64 v t1) u)
✓	accuracy	100.0%	(/.f64 t1 u)
✓	accuracy	100.0%	(neg.f64 (/.f64 u (/.f64 t1 u)))
✓	accuracy	99.8%	(/.f64 u (/.f64 t1 u))
✓	accuracy	92.0%	(/.f64 v (neg.f64 (/.f64 u (/.f64 t1 u))))
✓	accuracy	100.0%	(/.f64 v t1)
✓	accuracy	100.0%	(neg.f64 (/.f64 v t1))
✓	accuracy	100.0%	(neg.f64 (/.f64 (+.f64 t1 u) t1))
✓	accuracy	100.0%	(/.f64 v (+.f64 t1 u))
✓	accuracy	100.0%	(/.f64 (+.f64 t1 u) t1)
✓	accuracy	98.3%	(/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1)))

Samples

45.0ms

256×

valid

Compiler

Compiled 137 to 27 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-div: 18.0ms (61% of total)

ival-mult: 5.0ms (17% of total)

ival-neg: 3.0ms (10.2% of total)

ival-sub: 2.0ms (6.8% of total)

ival-add: 2.0ms (6.8% of total)

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

exact: 0.0ms (0% of total)

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

series63.0ms (0.6%)

Memory

18.3MiB live, 55.1MiB allocated

Counts

20 → 576

Calls

Call 1

Inputs
#<alt (neg (/ (+ t1 u) t1))>
#<alt (/ (/ v (+ t1 u)) (neg (/ (+ t1 u) t1)))>
#<alt (/ v (+ t1 u))>
#<alt (+ t1 u)>
#<alt (/ v t1)>
#<alt (neg (/ v t1))>
#<alt (/ v (neg (/ u (/ t1 u))))>
#<alt (/ u (/ t1 u))>
#<alt (/ t1 u)>
#<alt (neg (/ u (/ t1 u)))>
#<alt (- 0 (/ (/ (* v t1) u) u))>
#<alt (/ (/ (* v t1) u) u)>
#<alt (/ (* v t1) u)>
#<alt (* v t1)>
#<alt (/ (- (/ (* v (* u 2)) t1) v) t1)>
#<alt (- (/ (* v (* u 2)) t1) v)>
#<alt (/ (* v (* u 2)) t1)>
#<alt (* v (* u 2))>
#<alt (/ (+ t1 u) t1)>
#<alt (* u 2)>

Outputs
#<alt (* -1 (/ u t1))>
#<alt (/ (- (* -1 t1) u) t1)>
#<alt (/ (- (* -1 t1) u) t1)>
#<alt (/ (- (* -1 t1) u) t1)>
#<alt -1>
#<alt (- (* -1 (/ u t1)) 1)>
#<alt (- (* -1 (/ u t1)) 1)>
#<alt (- (* -1 (/ u t1)) 1)>
#<alt -1>
#<alt (- (* -1 (/ u t1)) 1)>
#<alt (- (* -1 (/ u t1)) 1)>
#<alt (- (* -1 (/ u t1)) 1)>
#<alt -1>
#<alt (- (* -1 (/ u t1)) 1)>
#<alt (- (* -1 (/ u t1)) 1)>
#<alt (- (* -1 (/ u t1)) 1)>
#<alt (* -1 (/ u t1))>
#<alt (* -1 (* u (+ (/ 1 t1) (/ 1 u))))>
#<alt (* -1 (* u (+ (/ 1 t1) (/ 1 u))))>
#<alt (* -1 (* u (+ (/ 1 t1) (/ 1 u))))>
#<alt (* -1 (/ u t1))>
#<alt (* -1 (* u (+ (/ 1 t1) (/ 1 u))))>
#<alt (* -1 (* u (+ (/ 1 t1) (/ 1 u))))>
#<alt (* -1 (* u (+ (/ 1 t1) (/ 1 u))))>
#<alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))>
#<alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))>
#<alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))>
#<alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))>
#<alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))>
#<alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))>
#<alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))>
#<alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))>
#<alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))>
#<alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))>
#<alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))>
#<alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3)))))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))))))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4)))))))))>
#<alt (* -1 (/ v t1))>
#<alt (/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)>
#<alt (/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1)>
#<alt (/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1)>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1))>
#<alt (* -1 (/ v t1))>
#<alt (+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))>
#<alt (+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3)))))))>
#<alt (+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3))))))))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))>
#<alt (/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2))>
#<alt (/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))>
#<alt (/ (+ (* -1 (* t1 v)) (* -1 (/ (- (+ (* -1 (/ (* (pow t1 3) v) u)) (* 4 (/ (* (pow t1 3) v) u))) (* 2 (* (pow t1 2) v))) u))) (pow u 2))>
#<alt (/ (+ (* -1 (* t1 v)) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (pow t1 4) v) u)) (* 2 (/ (* t1 (+ (* -1 (* (pow t1 3) v)) (* 4 (* (pow t1 3) v)))) u))) (+ (* -1 (* (pow t1 3) v)) (* 4 (* (pow t1 3) v)))) u)) (* 2 (* (pow t1 2) v))) u))) (pow u 2))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v u)>
#<alt (+ (* -1 (/ (* t1 v) (pow u 2))) (/ v u))>
#<alt (+ (* t1 (- (/ (* t1 v) (pow u 3)) (/ v (pow u 2)))) (/ v u))>
#<alt (+ (* t1 (- (* t1 (- (* -1 (/ (* t1 v) (pow u 4))) (* -1 (/ v (pow u 3))))) (/ v (pow u 2)))) (/ v u))>
#<alt (/ v t1)>
#<alt (/ (+ v (* -1 (/ (* u v) t1))) t1)>
#<alt (/ (- (+ v (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1)) t1)>
#<alt (/ (- (+ v (* -1 (/ (* (pow u 3) v) (pow t1 3)))) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1))) t1)>
#<alt (/ v t1)>
#<alt (* -1 (/ (+ (* -1 v) (/ (* u v) t1)) t1))>
#<alt (* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ (* (pow u 2) v) t1) (* u v)) t1))) t1))>
#<alt (* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ (* (pow u 3) v) t1) (* (pow u 2) v)) t1)) (* u v)) t1))) t1))>
#<alt (/ v t1)>
#<alt (+ (* -1 (/ (* u v) (pow t1 2))) (/ v t1))>
#<alt (+ (* u (- (/ (* u v) (pow t1 3)) (/ v (pow t1 2)))) (/ v t1))>
#<alt (+ (* u (- (* u (- (* -1 (/ (* u v) (pow t1 4))) (* -1 (/ v (pow t1 3))))) (/ v (pow t1 2)))) (/ v t1))>
#<alt (/ v u)>
#<alt (/ (+ v (* -1 (/ (* t1 v) u))) u)>
#<alt (/ (- (+ v (/ (* (pow t1 2) v) (pow u 2))) (/ (* t1 v) u)) u)>
#<alt (/ (- (+ v (* -1 (/ (* (pow t1 3) v) (pow u 3)))) (+ (* -1 (/ (* (pow t1 2) v) (pow u 2))) (/ (* t1 v) u))) u)>
#<alt (/ v u)>
#<alt (* -1 (/ (+ (* -1 v) (/ (* t1 v) u)) u))>
#<alt (* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ (* (pow t1 2) v) u) (* t1 v)) u))) u))>
#<alt (* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ (* (pow t1 3) v) u) (* (pow t1 2) v)) u)) (* t1 v)) u))) u))>
#<alt u>
#<alt (+ t1 u)>
#<alt (+ t1 u)>
#<alt (+ t1 u)>
#<alt t1>
#<alt (* t1 (+ 1 (/ u t1)))>
#<alt (* t1 (+ 1 (/ u t1)))>
#<alt (* t1 (+ 1 (/ u t1)))>
#<alt t1>
#<alt (* -1 (* t1 (- (* -1 (/ u t1)) 1)))>
#<alt (* -1 (* t1 (- (* -1 (/ u t1)) 1)))>
#<alt (* -1 (* t1 (- (* -1 (/ u t1)) 1)))>
#<alt t1>
#<alt (+ t1 u)>
#<alt (+ t1 u)>
#<alt (+ t1 u)>
#<alt u>
#<alt (* u (+ 1 (/ t1 u)))>
#<alt (* u (+ 1 (/ t1 u)))>
#<alt (* u (+ 1 (/ t1 u)))>
#<alt u>
#<alt (* -1 (* u (- (* -1 (/ t1 u)) 1)))>
#<alt (* -1 (* u (- (* -1 (/ t1 u)) 1)))>
#<alt (* -1 (* u (- (* -1 (/ t1 u)) 1)))>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (/ t1 u)>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) (pow u 2))>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (/ (* t1 v) u)>
#<alt (* t1 v)>
#<alt (* t1 v)>
#<alt (* t1 v)>
#<alt (* t1 v)>
#<alt (* t1 v)>
#<alt (* t1 v)>
#<alt (* t1 v)>
#<alt (* t1 v)>
#<alt (* t1 v)>
#<alt (* t1 v)>
#<alt (* t1 v)>
#<alt (* t1 v)>
#<alt (* t1 v)>
#<alt (* t1 v)>
#<alt (* t1 v)>
#<alt (* t1 v)>
#<alt (* t1 v)>
#<alt (* t1 v)>
#<alt (* t1 v)>
#<alt (* t1 v)>
#<alt (* t1 v)>
#<alt (* t1 v)>
#<alt (* t1 v)>
#<alt (* t1 v)>
#<alt (/ (* v (- (* 2 (/ u t1)) 1)) t1)>
#<alt (/ (* v (- (* 2 (/ u t1)) 1)) t1)>
#<alt (/ (* v (- (* 2 (/ u t1)) 1)) t1)>
#<alt (/ (* v (- (* 2 (/ u t1)) 1)) t1)>
#<alt (/ (* v (- (* 2 (/ u t1)) 1)) t1)>
#<alt (/ (* v (- (* 2 (/ u t1)) 1)) t1)>
#<alt (/ (* v (- (* 2 (/ u t1)) 1)) t1)>
#<alt (/ (* v (- (* 2 (/ u t1)) 1)) t1)>
#<alt (* -1 (/ (* v (+ 1 (* -2 (/ u t1)))) t1))>
#<alt (* -1 (/ (* v (+ 1 (* -2 (/ u t1)))) t1))>
#<alt (* -1 (/ (* v (+ 1 (* -2 (/ u t1)))) t1))>
#<alt (* -1 (/ (* v (+ 1 (* -2 (/ u t1)))) t1))>
#<alt (* -1 (/ v t1))>
#<alt (+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))>
#<alt (+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))>
#<alt (+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))>
#<alt (* 2 (/ (* u v) (pow t1 2)))>
#<alt (* u (+ (* -1 (/ v (* t1 u))) (* 2 (/ v (pow t1 2)))))>
#<alt (* u (+ (* -1 (/ v (* t1 u))) (* 2 (/ v (pow t1 2)))))>
#<alt (* u (+ (* -1 (/ v (* t1 u))) (* 2 (/ v (pow t1 2)))))>
#<alt (* 2 (/ (* u v) (pow t1 2)))>
#<alt (* -1 (* u (+ (* -2 (/ v (pow t1 2))) (/ v (* t1 u)))))>
#<alt (* -1 (* u (+ (* -2 (/ v (pow t1 2))) (/ v (* t1 u)))))>
#<alt (* -1 (* u (+ (* -2 (/ v (pow t1 2))) (/ v (* t1 u)))))>
#<alt (* 2 (/ (* u v) (pow t1 2)))>
#<alt (/ (+ (* -1 (* t1 v)) (* 2 (* u v))) (pow t1 2))>
#<alt (/ (+ (* -1 (* t1 v)) (* 2 (* u v))) (pow t1 2))>
#<alt (/ (+ (* -1 (* t1 v)) (* 2 (* u v))) (pow t1 2))>
#<alt (* -1 (/ v t1))>
#<alt (/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)>
#<alt (/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)>
#<alt (/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))>
#<alt (* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))>
#<alt (* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))>
#<alt (* v (- (* 2 (/ u t1)) 1))>
#<alt (* v (- (* 2 (/ u t1)) 1))>
#<alt (* v (- (* 2 (/ u t1)) 1))>
#<alt (* v (- (* 2 (/ u t1)) 1))>
#<alt (* v (- (* 2 (/ u t1)) 1))>
#<alt (* v (- (* 2 (/ u t1)) 1))>
#<alt (* v (- (* 2 (/ u t1)) 1))>
#<alt (* v (- (* 2 (/ u t1)) 1))>
#<alt (* -1 (* v (+ 1 (* -2 (/ u t1)))))>
#<alt (* -1 (* v (+ 1 (* -2 (/ u t1)))))>
#<alt (* -1 (* v (+ 1 (* -2 (/ u t1)))))>
#<alt (* -1 (* v (+ 1 (* -2 (/ u t1)))))>
#<alt (* -1 v)>
#<alt (- (* 2 (/ (* u v) t1)) v)>
#<alt (- (* 2 (/ (* u v) t1)) v)>
#<alt (- (* 2 (/ (* u v) t1)) v)>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* u (+ (* -1 (/ v u)) (* 2 (/ v t1))))>
#<alt (* u (+ (* -1 (/ v u)) (* 2 (/ v t1))))>
#<alt (* u (+ (* -1 (/ v u)) (* 2 (/ v t1))))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* -1 (* u (+ (* -2 (/ v t1)) (/ v u))))>
#<alt (* -1 (* u (+ (* -2 (/ v t1)) (/ v u))))>
#<alt (* -1 (* u (+ (* -2 (/ v t1)) (/ v u))))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (/ (+ (* -1 (* t1 v)) (* 2 (* u v))) t1)>
#<alt (/ (+ (* -1 (* t1 v)) (* 2 (* u v))) t1)>
#<alt (/ (+ (* -1 (* t1 v)) (* 2 (* u v))) t1)>
#<alt (* -1 v)>
#<alt (- (* 2 (/ (* u v) t1)) v)>
#<alt (- (* 2 (/ (* u v) t1)) v)>
#<alt (- (* 2 (/ (* u v) t1)) v)>
#<alt (* -1 v)>
#<alt (- (* 2 (/ (* u v) t1)) v)>
#<alt (- (* 2 (/ (* u v) t1)) v)>
#<alt (- (* 2 (/ (* u v) t1)) v)>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* 2 (/ (* u v) t1))>
#<alt (* 2 (* u v))>
#<alt (* 2 (* u v))>
#<alt (* 2 (* u v))>
#<alt (* 2 (* u v))>
#<alt (* 2 (* u v))>
#<alt (* 2 (* u v))>
#<alt (* 2 (* u v))>
#<alt (* 2 (* u v))>
#<alt (* 2 (* u v))>
#<alt (* 2 (* u v))>
#<alt (* 2 (* u v))>
#<alt (* 2 (* u v))>
#<alt (* 2 (* u v))>
#<alt (* 2 (* u v))>
#<alt (* 2 (* u v))>
#<alt (* 2 (* u v))>
#<alt (* 2 (* u v))>
#<alt (* 2 (* u v))>
#<alt (* 2 (* u v))>
#<alt (* 2 (* u v))>
#<alt (* 2 (* u v))>
#<alt (* 2 (* u v))>
#<alt (* 2 (* u v))>
#<alt (* 2 (* u v))>
#<alt (/ u t1)>
#<alt (/ (+ t1 u) t1)>
#<alt (/ (+ t1 u) t1)>
#<alt (/ (+ t1 u) t1)>
#<alt 1>
#<alt (+ 1 (/ u t1))>
#<alt (+ 1 (/ u t1))>
#<alt (+ 1 (/ u t1))>
#<alt 1>
#<alt (+ 1 (/ u t1))>
#<alt (+ 1 (/ u t1))>
#<alt (+ 1 (/ u t1))>
#<alt 1>
#<alt (+ 1 (/ u t1))>
#<alt (+ 1 (/ u t1))>
#<alt (+ 1 (/ u t1))>
#<alt (/ u t1)>
#<alt (* u (+ (/ 1 t1) (/ 1 u)))>
#<alt (* u (+ (/ 1 t1) (/ 1 u)))>
#<alt (* u (+ (/ 1 t1) (/ 1 u)))>
#<alt (/ u t1)>
#<alt (* u (+ (/ 1 t1) (/ 1 u)))>
#<alt (* u (+ (/ 1 t1) (/ 1 u)))>
#<alt (* u (+ (/ 1 t1) (/ 1 u)))>
#<alt (* 2 u)>
#<alt (* 2 u)>
#<alt (* 2 u)>
#<alt (* 2 u)>
#<alt (* 2 u)>
#<alt (* 2 u)>
#<alt (* 2 u)>
#<alt (* 2 u)>
#<alt (* 2 u)>
#<alt (* 2 u)>
#<alt (* 2 u)>
#<alt (* 2 u)>

Calls

144 calls:

Time	Variable		Point	Expression
29.0ms	v	@	-inf	(/ (- (/ (* v (* u 2)) t1) v) t1)
6.0ms	t1	@	inf	(/ t1 u)
1.0ms	v	@	0	(/ (/ v (+ t1 u)) (neg (/ (+ t1 u) t1)))
1.0ms	v	@	inf	(/ (/ v (+ t1 u)) (neg (/ (+ t1 u) t1)))
1.0ms	v	@	0	(/ (- (/ (* v (* u 2)) t1) v) t1)

rewrite355.0ms (3.4%)

Memory

-26.8MiB live, 713.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 534×	`/-lowering-/.f32`
4 534×	`/-lowering-/.f64`
4 104×	`-lowering-.f32`
4 104×	`-lowering-.f64`
3 362×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	118
1	160	118
2	1344	116
0	8616	116

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1 074

Calls

Call 1

Inputs
(neg (/ (+ t1 u) t1))
(/ (/ v (+ t1 u)) (neg (/ (+ t1 u) t1)))
(/ v (+ t1 u))
(+ t1 u)
(/ v t1)
(neg (/ v t1))
(/ v (neg (/ u (/ t1 u))))
(/ u (/ t1 u))
(/ t1 u)
(neg (/ u (/ t1 u)))
(- 0 (/ (/ (* v t1) u) u))
(/ (/ (* v t1) u) u)
(/ (* v t1) u)
(* v t1)
(/ (- (/ (* v (* u 2)) t1) v) t1)
(- (/ (* v (* u 2)) t1) v)
(/ (* v (* u 2)) t1)
(* v (* u 2))
(/ (+ t1 u) t1)
(* u 2)

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) t1) u) t1))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) t1))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 t1 u) t1) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) t1) (/.f64 (+.f64 t1 u) t1))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) t1)) (/.f64 (/.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 t1 (+.f64 t1 u))) (/.f64 (+.f64 t1 u) t1)))
(-.f64 (/.f64 (/.f64 (.f64 t1 t1) (-.f64 t1 u)) (-.f64 #s(literal 0 binary64) t1)) (/.f64 (/.f64 (.f64 u u) (-.f64 t1 u)) (-.f64 #s(literal 0 binary64) t1)))
(-.f64 (/.f64 (.f64 t1 t1) (.f64 (-.f64 #s(literal 0 binary64) t1) (-.f64 t1 u))) (/.f64 (.f64 u u) (.f64 (-.f64 #s(literal 0 binary64) t1) (-.f64 t1 u))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 t1 (+.f64 t1 u))) #s(literal 0 binary64))) (/.f64 (*.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 t1 (+.f64 t1 u)))) (+.f64 (/.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 t1 (+.f64 t1 u))) #s(literal 0 binary64))))
(neg.f64 (/.f64 (+.f64 t1 u) t1))
(/.f64 (+.f64 t1 u) (-.f64 #s(literal 0 binary64) t1))
(/.f64 (/.f64 (+.f64 t1 u) t1) #s(literal -1 binary64))
(/.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) t1) u) t1) #s(literal 1 binary64))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) t1) u) t1)
(/.f64 (+.f64 (.f64 t1 (.f64 t1 t1)) (.f64 u (.f64 u u))) (.f64 (-.f64 #s(literal 0 binary64) t1) (+.f64 (.f64 t1 t1) (*.f64 u (-.f64 u t1)))))
(/.f64 #s(literal 1 binary64) (/.f64 t1 (-.f64 (-.f64 #s(literal 0 binary64) t1) u)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) t1) (+.f64 (.f64 t1 t1) (.f64 u (-.f64 u t1)))) (+.f64 (.f64 t1 (.f64 t1 t1)) (.f64 u (*.f64 u u)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t1 (-.f64 (-.f64 #s(literal 0 binary64) t1) u)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t1 (+.f64 t1 u)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) t1) (-.f64 t1 u)) (-.f64 (.f64 t1 t1) (*.f64 u u))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 t1 (+.f64 t1 u))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 t1 (+.f64 t1 u)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 t1 u) t1) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 t1 (+.f64 t1 u))))))
(/.f64 #s(literal -1 binary64) (/.f64 t1 (+.f64 t1 u)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t1 (-.f64 (-.f64 #s(literal 0 binary64) t1) u))))
(/.f64 (-.f64 (.f64 t1 t1) (.f64 u u)) (*.f64 (-.f64 #s(literal 0 binary64) t1) (-.f64 t1 u)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 t1 (.f64 t1 t1)) (.f64 u (.f64 u u)))) (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) t1) (+.f64 (.f64 t1 t1) (*.f64 u (-.f64 u t1))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 t1 t1) (.f64 u u))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) t1) (-.f64 t1 u))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 t1 (+.f64 t1 u))))) (+.f64 (/.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 t1 (+.f64 t1 u))) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 t1 (+.f64 t1 u)))) (/.f64 (+.f64 t1 u) t1))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 t1 (+.f64 t1 u)))))) (neg.f64 (+.f64 (/.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 t1 (+.f64 t1 u))) #s(literal 0 binary64))))
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(/.f64 (neg.f64 (/.f64 (+.f64 (.f64 t1 (.f64 t1 t1)) (.f64 u (.f64 u u))) t1)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 t1 t1) (.f64 u (-.f64 u t1)))))
(/.f64 (neg.f64 (/.f64 (-.f64 (.f64 t1 t1) (.f64 u u)) t1)) (-.f64 #s(literal 0 binary64) (-.f64 t1 u)))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 t1 (+.f64 t1 u))))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 t1 (+.f64 t1 u))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) t1) u) t1) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 t1 (+.f64 t1 u))) (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) t1) u) t1)))))
(pow.f64 (/.f64 t1 (+.f64 t1 u)) #s(literal -1 binary64))
(*.f64 (+.f64 t1 u) (/.f64 #s(literal 1 binary64) t1))
(*.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 (-.f64 t1 u) (-.f64 t1 u)))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) t1) u) (/.f64 #s(literal -1 binary64) t1))
(.f64 (+.f64 (.f64 t1 (.f64 t1 t1)) (.f64 u (.f64 u u))) (/.f64 #s(literal 1 binary64) (.f64 t1 (+.f64 (.f64 t1 t1) (.f64 u (-.f64 u t1))))))
(.f64 (+.f64 (.f64 t1 (.f64 t1 t1)) (.f64 u (.f64 u u))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 t1 t1) (.f64 u (-.f64 u t1))) t1)))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 t1 u) t1))
(*.f64 (/.f64 #s(literal 1 binary64) t1) (+.f64 t1 u))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) t1) u) t1))
(.f64 (-.f64 (.f64 t1 t1) (.f64 u u)) (/.f64 #s(literal 1 binary64) (.f64 t1 (-.f64 t1 u))))
(.f64 (-.f64 (.f64 t1 t1) (.f64 u u)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 t1 u) t1)))
(.f64 (/.f64 (+.f64 (.f64 t1 (.f64 t1 t1)) (.f64 u (.f64 u u))) t1) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 t1 t1) (*.f64 u (-.f64 u t1)))))
(.f64 (/.f64 (-.f64 (.f64 t1 t1) (*.f64 u u)) t1) (/.f64 #s(literal 1 binary64) (-.f64 t1 u)))
(.f64 (pow.f64 (/.f64 t1 (+.f64 (.f64 t1 (.f64 t1 t1)) (.f64 u (.f64 u u)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 t1 t1) (*.f64 u (-.f64 u t1)))))
(.f64 (pow.f64 (/.f64 t1 (-.f64 (.f64 t1 t1) (*.f64 u u))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 t1 u)))
(.f64 (/.f64 (+.f64 (.f64 t1 t1) (.f64 u (-.f64 u t1))) t1) (/.f64 (+.f64 t1 u) (+.f64 (.f64 t1 t1) (*.f64 u (-.f64 u t1)))))
(*.f64 (pow.f64 (/.f64 t1 (+.f64 t1 u)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 t1 (+.f64 t1 u)) #s(literal -1/2 binary64)))
(*.f64 u #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) u)

simplify612.0ms (5.9%)

Memory

-11.9MiB live, 947.5MiB allocated

Algorithm

1×	egg-herbie

Rules

16 180×	`accelerator-lowering-fma.f32`
16 180×	`accelerator-lowering-fma.f64`
4 604×	`+-lowering-+.f64`
4 604×	`+-lowering-+.f32`
4 420×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	334	4293
1	1092	4212
2	3504	4060
0	8078	3982

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 576

Calls

Call 1

Inputs
(* -1 (/ u t1))
(/ (- (* -1 t1) u) t1)
(/ (- (* -1 t1) u) t1)
(/ (- (* -1 t1) u) t1)
-1
(- (* -1 (/ u t1)) 1)
(- (* -1 (/ u t1)) 1)
(- (* -1 (/ u t1)) 1)
-1
(- (* -1 (/ u t1)) 1)
(- (* -1 (/ u t1)) 1)
(- (* -1 (/ u t1)) 1)
-1
(- (* -1 (/ u t1)) 1)
(- (* -1 (/ u t1)) 1)
(- (* -1 (/ u t1)) 1)
(* -1 (/ u t1))
(* -1 (* u (+ (/ 1 t1) (/ 1 u))))
(* -1 (* u (+ (/ 1 t1) (/ 1 u))))
(* -1 (* u (+ (/ 1 t1) (/ 1 u))))
(* -1 (/ u t1))
(* -1 (* u (+ (/ 1 t1) (/ 1 u))))
(* -1 (* u (+ (/ 1 t1) (/ 1 u))))
(* -1 (* u (+ (/ 1 t1) (/ 1 u))))
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))
(* -1 (/ (* t1 v) (pow u 2)))
(* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3)))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4)))))))))
(* -1 (/ v t1))
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1)
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1)
(* -1 (/ v t1))
(* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))
(* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1))
(* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1))
(* -1 (/ v t1))
(+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3)))))))
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3))))))))
(* -1 (/ (* t1 v) (pow u 2)))
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2))
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2))
(* -1 (/ (* t1 v) (pow u 2)))
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))
(/ (+ (* -1 (* t1 v)) (* -1 (/ (- (+ (* -1 (/ (* (pow t1 3) v) u)) (* 4 (/ (* (pow t1 3) v) u))) (* 2 (* (pow t1 2) v))) u))) (pow u 2))
(/ (+ (* -1 (* t1 v)) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (pow t1 4) v) u)) (* 2 (/ (* t1 (+ (* -1 (* (pow t1 3) v)) (* 4 (* (pow t1 3) v)))) u))) (+ (* -1 (* (pow t1 3) v)) (* 4 (* (pow t1 3) v)))) u)) (* 2 (* (pow t1 2) v))) u))) (pow u 2))
(/ v (+ t1 u))
(/ v (+ t1 u))
(/ v (+ t1 u))
(/ v (+ t1 u))
(/ v (+ t1 u))
(/ v (+ t1 u))
(/ v (+ t1 u))
(/ v (+ t1 u))
(/ v (+ t1 u))
(/ v (+ t1 u))
(/ v (+ t1 u))
(/ v (+ t1 u))
(/ v u)
(+ (* -1 (/ (* t1 v) (pow u 2))) (/ v u))
(+ (* t1 (- (/ (* t1 v) (pow u 3)) (/ v (pow u 2)))) (/ v u))
(+ (* t1 (- (* t1 (- (* -1 (/ (* t1 v) (pow u 4))) (* -1 (/ v (pow u 3))))) (/ v (pow u 2)))) (/ v u))
(/ v t1)
(/ (+ v (* -1 (/ (* u v) t1))) t1)
(/ (- (+ v (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1)) t1)
(/ (- (+ v (* -1 (/ (* (pow u 3) v) (pow t1 3)))) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1))) t1)
(/ v t1)
(* -1 (/ (+ (* -1 v) (/ (* u v) t1)) t1))
(* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ (* (pow u 2) v) t1) (* u v)) t1))) t1))
(* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ (* (pow u 3) v) t1) (* (pow u 2) v)) t1)) (* u v)) t1))) t1))
(/ v t1)
(+ (* -1 (/ (* u v) (pow t1 2))) (/ v t1))
(+ (* u (- (/ (* u v) (pow t1 3)) (/ v (pow t1 2)))) (/ v t1))
(+ (* u (- (* u (- (* -1 (/ (* u v) (pow t1 4))) (* -1 (/ v (pow t1 3))))) (/ v (pow t1 2)))) (/ v t1))
(/ v u)
(/ (+ v (* -1 (/ (* t1 v) u))) u)
(/ (- (+ v (/ (* (pow t1 2) v) (pow u 2))) (/ (* t1 v) u)) u)
(/ (- (+ v (* -1 (/ (* (pow t1 3) v) (pow u 3)))) (+ (* -1 (/ (* (pow t1 2) v) (pow u 2))) (/ (* t1 v) u))) u)
(/ v u)
(* -1 (/ (+ (* -1 v) (/ (* t1 v) u)) u))
(* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ (* (pow t1 2) v) u) (* t1 v)) u))) u))
(* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ (* (pow t1 3) v) u) (* (pow t1 2) v)) u)) (* t1 v)) u))) u))
u
(+ t1 u)
(+ t1 u)
(+ t1 u)
t1
(* t1 (+ 1 (/ u t1)))
(* t1 (+ 1 (/ u t1)))
(* t1 (+ 1 (/ u t1)))
t1
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
t1
(+ t1 u)
(+ t1 u)
(+ t1 u)
u
(* u (+ 1 (/ t1 u)))
(* u (+ 1 (/ t1 u)))
(* u (+ 1 (/ t1 u)))
u
(* -1 (* u (- (* -1 (/ t1 u)) 1)))
(* -1 (* u (- (* -1 (/ t1 u)) 1)))
(* -1 (* u (- (* -1 (/ t1 u)) 1)))
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(/ (pow u 2) t1)
(/ (pow u 2) t1)
(/ (pow u 2) t1)
(/ (pow u 2) t1)
(/ (pow u 2) t1)
(/ (pow u 2) t1)
(/ (pow u 2) t1)
(/ (pow u 2) t1)
(/ (pow u 2) t1)
(/ (pow u 2) t1)
(/ (pow u 2) t1)
(/ (pow u 2) t1)
(/ (pow u 2) t1)
(/ (pow u 2) t1)
(/ (pow u 2) t1)
(/ (pow u 2) t1)
(/ (pow u 2) t1)
(/ (pow u 2) t1)
(/ (pow u 2) t1)
(/ (pow u 2) t1)
(/ (pow u 2) t1)
(/ (pow u 2) t1)
(/ (pow u 2) t1)
(/ (pow u 2) t1)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(/ t1 u)
(* -1 (/ (pow u 2) t1))
(* -1 (/ (pow u 2) t1))
(* -1 (/ (pow u 2) t1))
(* -1 (/ (pow u 2) t1))
(* -1 (/ (pow u 2) t1))
(* -1 (/ (pow u 2) t1))
(* -1 (/ (pow u 2) t1))
(* -1 (/ (pow u 2) t1))
(* -1 (/ (pow u 2) t1))
(* -1 (/ (pow u 2) t1))
(* -1 (/ (pow u 2) t1))
(* -1 (/ (pow u 2) t1))
(* -1 (/ (pow u 2) t1))
(* -1 (/ (pow u 2) t1))
(* -1 (/ (pow u 2) t1))
(* -1 (/ (pow u 2) t1))
(* -1 (/ (pow u 2) t1))
(* -1 (/ (pow u 2) t1))
(* -1 (/ (pow u 2) t1))
(* -1 (/ (pow u 2) t1))
(* -1 (/ (pow u 2) t1))
(* -1 (/ (pow u 2) t1))
(* -1 (/ (pow u 2) t1))
(* -1 (/ (pow u 2) t1))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(/ (* t1 v) (pow u 2))
(/ (* t1 v) (pow u 2))
(/ (* t1 v) (pow u 2))
(/ (* t1 v) (pow u 2))
(/ (* t1 v) (pow u 2))
(/ (* t1 v) (pow u 2))
(/ (* t1 v) (pow u 2))
(/ (* t1 v) (pow u 2))
(/ (* t1 v) (pow u 2))
(/ (* t1 v) (pow u 2))
(/ (* t1 v) (pow u 2))
(/ (* t1 v) (pow u 2))
(/ (* t1 v) (pow u 2))
(/ (* t1 v) (pow u 2))
(/ (* t1 v) (pow u 2))
(/ (* t1 v) (pow u 2))
(/ (* t1 v) (pow u 2))
(/ (* t1 v) (pow u 2))
(/ (* t1 v) (pow u 2))
(/ (* t1 v) (pow u 2))
(/ (* t1 v) (pow u 2))
(/ (* t1 v) (pow u 2))
(/ (* t1 v) (pow u 2))
(/ (* t1 v) (pow u 2))
(/ (* t1 v) (pow u 2))
(/ (* t1 v) (pow u 2))
(/ (* t1 v) (pow u 2))
(/ (* t1 v) (pow u 2))
(/ (* t1 v) (pow u 2))
(/ (* t1 v) (pow u 2))
(/ (* t1 v) (pow u 2))
(/ (* t1 v) (pow u 2))
(/ (* t1 v) (pow u 2))
(/ (* t1 v) (pow u 2))
(/ (* t1 v) (pow u 2))
(/ (* t1 v) (pow u 2))
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(/ (* t1 v) u)
(* t1 v)
(* t1 v)
(* t1 v)
(* t1 v)
(* t1 v)
(* t1 v)
(* t1 v)
(* t1 v)
(* t1 v)
(* t1 v)
(* t1 v)
(* t1 v)
(* t1 v)
(* t1 v)
(* t1 v)
(* t1 v)
(* t1 v)
(* t1 v)
(* t1 v)
(* t1 v)
(* t1 v)
(* t1 v)
(* t1 v)
(* t1 v)
(/ (* v (- (* 2 (/ u t1)) 1)) t1)
(/ (* v (- (* 2 (/ u t1)) 1)) t1)
(/ (* v (- (* 2 (/ u t1)) 1)) t1)
(/ (* v (- (* 2 (/ u t1)) 1)) t1)
(/ (* v (- (* 2 (/ u t1)) 1)) t1)
(/ (* v (- (* 2 (/ u t1)) 1)) t1)
(/ (* v (- (* 2 (/ u t1)) 1)) t1)
(/ (* v (- (* 2 (/ u t1)) 1)) t1)
(* -1 (/ (* v (+ 1 (* -2 (/ u t1)))) t1))
(* -1 (/ (* v (+ 1 (* -2 (/ u t1)))) t1))
(* -1 (/ (* v (+ 1 (* -2 (/ u t1)))) t1))
(* -1 (/ (* v (+ 1 (* -2 (/ u t1)))) t1))
(* -1 (/ v t1))
(+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))
(+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))
(+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))
(* 2 (/ (* u v) (pow t1 2)))
(* u (+ (* -1 (/ v (* t1 u))) (* 2 (/ v (pow t1 2)))))
(* u (+ (* -1 (/ v (* t1 u))) (* 2 (/ v (pow t1 2)))))
(* u (+ (* -1 (/ v (* t1 u))) (* 2 (/ v (pow t1 2)))))
(* 2 (/ (* u v) (pow t1 2)))
(* -1 (* u (+ (* -2 (/ v (pow t1 2))) (/ v (* t1 u)))))
(* -1 (* u (+ (* -2 (/ v (pow t1 2))) (/ v (* t1 u)))))
(* -1 (* u (+ (* -2 (/ v (pow t1 2))) (/ v (* t1 u)))))
(* 2 (/ (* u v) (pow t1 2)))
(/ (+ (* -1 (* t1 v)) (* 2 (* u v))) (pow t1 2))
(/ (+ (* -1 (* t1 v)) (* 2 (* u v))) (pow t1 2))
(/ (+ (* -1 (* t1 v)) (* 2 (* u v))) (pow t1 2))
(* -1 (/ v t1))
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)
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(* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))
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(* -1 (* v (+ 1 (* -2 (/ u t1)))))
(* -1 (* v (+ 1 (* -2 (/ u t1)))))
(* -1 v)
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(- (* 2 (/ (* u v) t1)) v)
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(* u (+ (* -1 (/ v u)) (* 2 (/ v t1))))
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(/ (+ (* -1 (* t1 v)) (* 2 (* u v))) t1)
(/ (+ (* -1 (* t1 v)) (* 2 (* u v))) t1)
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(* -1 v)
(- (* 2 (/ (* u v) t1)) v)
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(- (* 2 (/ (* u v) t1)) v)
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(* 2 (/ (* u v) t1))
(* 2 (/ (* u v) t1))
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(* 2 (/ (* u v) t1))
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(* 2 (/ (* u v) t1))
(* 2 (* u v))
(* 2 (* u v))
(* 2 (* u v))
(* 2 (* u v))
(* 2 (* u v))
(* 2 (* u v))
(* 2 (* u v))
(* 2 (* u v))
(* 2 (* u v))
(* 2 (* u v))
(* 2 (* u v))
(* 2 (* u v))
(* 2 (* u v))
(* 2 (* u v))
(* 2 (* u v))
(* 2 (* u v))
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(* 2 (* u v))
(* 2 (* u v))
(* 2 (* u v))
(/ u t1)
(/ (+ t1 u) t1)
(/ (+ t1 u) t1)
(/ (+ t1 u) t1)
1
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(+ 1 (/ u t1))
(+ 1 (/ u t1))
1
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(+ 1 (/ u t1))
(+ 1 (/ u t1))
1
(+ 1 (/ u t1))
(+ 1 (/ u t1))
(+ 1 (/ u t1))
(/ u t1)
(* u (+ (/ 1 t1) (/ 1 u)))
(* u (+ (/ 1 t1) (/ 1 u)))
(* u (+ (/ 1 t1) (/ 1 u)))
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(* 2 u)
(* 2 u)
(* 2 u)
(* 2 u)
(* 2 u)
(* 2 u)
(* 2 u)
(* 2 u)
(* 2 u)
(* 2 u)
(* 2 u)
(* 2 u)

Outputs
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(-.f64 #s(literal 0 binary64) (/.f64 u t1))
(/ (- (* -1 t1) u) t1)
(-.f64 #s(literal -1 binary64) (/.f64 u t1))
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(/ (- (* -1 t1) u) t1)
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-1
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(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))))))
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(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4)))))))))
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(.f64 (/.f64 v t1) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 u #s(literal 2 binary64)) t1)))
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1)
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(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1)
(/.f64 (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (.f64 u #s(literal -2 binary64)) t1)))) (.f64 (/.f64 v (.f64 t1 t1)) (.f64 #s(literal -3 binary64) (.f64 u u)))) (.f64 (/.f64 #s(literal -2 binary64) (.f64 t1 t1)) (.f64 u (+.f64 (/.f64 (.f64 (.f64 u (.f64 u v)) #s(literal -3 binary64)) t1) (/.f64 (.f64 u (.f64 u v)) t1))))) t1)
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(.f64 (/.f64 v t1) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 u #s(literal 2 binary64)) t1)))
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(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3))))))))
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(* -1 (/ (* t1 v) (pow u 2)))
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(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))
(/.f64 (-.f64 (/.f64 (.f64 v (.f64 #s(literal 2 binary64) (.f64 t1 t1))) u) (.f64 t1 v)) (*.f64 u u))
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2))
(/.f64 (+.f64 (-.f64 (/.f64 (.f64 v (.f64 #s(literal 2 binary64) (.f64 t1 t1))) u) (.f64 t1 v)) (.f64 (/.f64 (/.f64 v u) u) (.f64 #s(literal -3 binary64) (.f64 t1 (.f64 t1 t1))))) (*.f64 u u))
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2))
(/.f64 (+.f64 (+.f64 (-.f64 (/.f64 (.f64 v (.f64 #s(literal 2 binary64) (.f64 t1 t1))) u) (.f64 t1 v)) (.f64 (/.f64 (/.f64 v u) u) (.f64 #s(literal -3 binary64) (.f64 t1 (.f64 t1 t1))))) (.f64 (/.f64 #s(literal -2 binary64) (.f64 u u)) (+.f64 (/.f64 (.f64 (.f64 t1 v) (.f64 #s(literal -3 binary64) (.f64 t1 (.f64 t1 t1)))) u) (/.f64 (.f64 v (.f64 (.f64 t1 (.f64 t1 t1)) t1)) u)))) (.f64 u u))
(* -1 (/ (* t1 v) (pow u 2)))
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(/.f64 (-.f64 (/.f64 (.f64 v (.f64 #s(literal 2 binary64) (.f64 t1 t1))) u) (.f64 t1 v)) (*.f64 u u))
(/ (+ (* -1 (* t1 v)) (* -1 (/ (- (+ (* -1 (/ (* (pow t1 3) v) u)) (* 4 (/ (* (pow t1 3) v) u))) (* 2 (* (pow t1 2) v))) u))) (pow u 2))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (.f64 t1 v)) (/.f64 (-.f64 (.f64 #s(literal 3 binary64) (.f64 t1 (.f64 t1 (/.f64 (.f64 t1 v) u)))) (.f64 v (.f64 #s(literal 2 binary64) (.f64 t1 t1)))) u)) (*.f64 u u))
(/ (+ (* -1 (* t1 v)) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (pow t1 4) v) u)) (* 2 (/ (* t1 (+ (* -1 (* (pow t1 3) v)) (* 4 (* (pow t1 3) v)))) u))) (+ (* -1 (* (pow t1 3) v)) (* 4 (* (pow t1 3) v)))) u)) (* 2 (* (pow t1 2) v))) u))) (pow u 2))
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(/ v (+ t1 u))
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(.f64 u (.f64 v #s(literal 2 binary64)))
(* 2 (* u v))
(.f64 u (.f64 v #s(literal 2 binary64)))
(* 2 (* u v))
(.f64 u (.f64 v #s(literal 2 binary64)))
(* 2 (* u v))
(.f64 u (.f64 v #s(literal 2 binary64)))
(* 2 (* u v))
(.f64 u (.f64 v #s(literal 2 binary64)))
(* 2 (* u v))
(.f64 u (.f64 v #s(literal 2 binary64)))
(* 2 (* u v))
(.f64 u (.f64 v #s(literal 2 binary64)))
(* 2 (* u v))
(.f64 u (.f64 v #s(literal 2 binary64)))
(* 2 (* u v))
(.f64 u (.f64 v #s(literal 2 binary64)))
(* 2 (* u v))
(.f64 u (.f64 v #s(literal 2 binary64)))
(* 2 (* u v))
(.f64 u (.f64 v #s(literal 2 binary64)))
(* 2 (* u v))
(.f64 u (.f64 v #s(literal 2 binary64)))
(* 2 (* u v))
(.f64 u (.f64 v #s(literal 2 binary64)))
(* 2 (* u v))
(.f64 u (.f64 v #s(literal 2 binary64)))
(* 2 (* u v))
(.f64 u (.f64 v #s(literal 2 binary64)))
(* 2 (* u v))
(.f64 u (.f64 v #s(literal 2 binary64)))
(* 2 (* u v))
(.f64 u (.f64 v #s(literal 2 binary64)))
(/ u t1)
(/.f64 u t1)
(/ (+ t1 u) t1)
(/.f64 (+.f64 u t1) t1)
(/ (+ t1 u) t1)
(/.f64 (+.f64 u t1) t1)
(/ (+ t1 u) t1)
(/.f64 (+.f64 u t1) t1)
1
#s(literal 1 binary64)
(+ 1 (/ u t1))
(+.f64 (/.f64 u t1) #s(literal 1 binary64))
(+ 1 (/ u t1))
(+.f64 (/.f64 u t1) #s(literal 1 binary64))
(+ 1 (/ u t1))
(+.f64 (/.f64 u t1) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (/ u t1))
(+.f64 (/.f64 u t1) #s(literal 1 binary64))
(+ 1 (/ u t1))
(+.f64 (/.f64 u t1) #s(literal 1 binary64))
(+ 1 (/ u t1))
(+.f64 (/.f64 u t1) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (/ u t1))
(+.f64 (/.f64 u t1) #s(literal 1 binary64))
(+ 1 (/ u t1))
(+.f64 (/.f64 u t1) #s(literal 1 binary64))
(+ 1 (/ u t1))
(+.f64 (/.f64 u t1) #s(literal 1 binary64))
(/ u t1)
(/.f64 u t1)
(* u (+ (/ 1 t1) (/ 1 u)))
(+.f64 (/.f64 u t1) #s(literal 1 binary64))
(* u (+ (/ 1 t1) (/ 1 u)))
(+.f64 (/.f64 u t1) #s(literal 1 binary64))
(* u (+ (/ 1 t1) (/ 1 u)))
(+.f64 (/.f64 u t1) #s(literal 1 binary64))
(/ u t1)
(/.f64 u t1)
(* u (+ (/ 1 t1) (/ 1 u)))
(+.f64 (/.f64 u t1) #s(literal 1 binary64))
(* u (+ (/ 1 t1) (/ 1 u)))
(+.f64 (/.f64 u t1) #s(literal 1 binary64))
(* u (+ (/ 1 t1) (/ 1 u)))
(+.f64 (/.f64 u t1) #s(literal 1 binary64))
(* 2 u)
(*.f64 u #s(literal 2 binary64))
(* 2 u)
(*.f64 u #s(literal 2 binary64))
(* 2 u)
(*.f64 u #s(literal 2 binary64))
(* 2 u)
(*.f64 u #s(literal 2 binary64))
(* 2 u)
(*.f64 u #s(literal 2 binary64))
(* 2 u)
(*.f64 u #s(literal 2 binary64))
(* 2 u)
(*.f64 u #s(literal 2 binary64))
(* 2 u)
(*.f64 u #s(literal 2 binary64))
(* 2 u)
(*.f64 u #s(literal 2 binary64))
(* 2 u)
(*.f64 u #s(literal 2 binary64))
(* 2 u)
(*.f64 u #s(literal 2 binary64))
(* 2 u)
(*.f64 u #s(literal 2 binary64))

eval263.0ms (2.5%)

Memory: 29.6MiB live, 409.2MiB allocated
Compiler: Compiled 30 914 to 3 105 computations (90% saved)

prune398.0ms (3.8%)

Memory

2.2MiB live, 328.2MiB allocated

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	1 710	7	1 717
Fresh	6	5	11
Picked	2	3	5
Done	1	0	1
Total	1 719	15	1 734

Accuracy

100.0%

Counts

1 734 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.9%	(/.f64 (/.f64 v (-.f64 #s(literal -1 binary64) (/.f64 u t1))) (+.f64 u t1))
▶	98.3%	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 #s(literal -1 binary64) (/.f64 u t1)))
▶	64.5%	(/.f64 (/.f64 v (+.f64 t1 u)) #s(literal -1 binary64))
	49.7%	(/.f64 (/.f64 v u) (neg.f64 (/.f64 (+.f64 t1 u) t1)))
✓	54.0%	(/.f64 (-.f64 (/.f64 (.f64 v (.f64 u #s(literal 2 binary64))) t1) v) t1)
▶	41.6%	(/.f64 (.f64 (neg.f64 t1) v) (.f64 u u))
	43.2%	(/.f64 v (neg.f64 (/.f64 (*.f64 u u) t1)))
▶	47.7%	(/.f64 v (neg.f64 (*.f64 (/.f64 u t1) u)))
	57.3%	(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
✓	46.1%	(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 v t1) u) u))
	51.1%	(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 v u) t1) u))
	51.4%	(*.f64 (/.f64 v (neg.f64 u)) (/.f64 t1 u))
▶	57.0%	(*.f64 v (/.f64 #s(literal -1 binary64) t1))
	53.6%	(*.f64 t1 (neg.f64 (/.f64 (/.f64 v (+.f64 t1 u)) t1)))
✓	57.2%	(neg.f64 (/.f64 v t1))

Compiler

Compiled 305 to 200 computations (34.4% saved)

simplify308.0ms (3%)

Memory

2.6MiB live, 196.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(neg.f64 t1)
✓	cost-diff	0	(*.f64 u u)
✓	cost-diff	0	(*.f64 (neg.f64 t1) v)
✓	cost-diff	0	(/.f64 (.f64 (neg.f64 t1) v) (.f64 u u))
✓	cost-diff	-64	(neg.f64 (*.f64 (/.f64 u t1) u))
✓	cost-diff	0	(/.f64 u t1)
✓	cost-diff	0	(*.f64 (/.f64 u t1) u)
✓	cost-diff	0	(/.f64 v (neg.f64 (*.f64 (/.f64 u t1) u)))
✓	cost-diff	0	(+.f64 t1 u)
✓	cost-diff	0	(/.f64 v (+.f64 t1 u))
✓	cost-diff	0	(/.f64 (/.f64 v (+.f64 t1 u)) #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) t1)
✓	cost-diff	0	(*.f64 v (/.f64 #s(literal -1 binary64) t1))
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) (/.f64 u t1))
✓	cost-diff	0	(+.f64 t1 u)
✓	cost-diff	0	(/.f64 v (+.f64 t1 u))
✓	cost-diff	0	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 #s(literal -1 binary64) (/.f64 u t1)))

Rules

3 944×	`accelerator-lowering-fma.f32`
3 944×	`accelerator-lowering-fma.f64`
1 848×	`-lowering-.f32`
1 848×	`-lowering-.f64`
1 552×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	106
1	51	105
2	136	104
3	311	104
4	661	104
5	1282	104
6	3434	104
7	4634	104
8	5533	104
9	6017	104
10	6054	104
11	6071	104
12	7573	104
0	8025	104

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ v (+ t1 u)) (- -1 (/ u t1)))
(/ v (+ t1 u))
v
(+ t1 u)
t1
u
(- -1 (/ u t1))
-1
(/ u t1)
(* v (/ -1 t1))
v
(/ -1 t1)
-1
t1
(/ (/ v (+ t1 u)) -1)
(/ v (+ t1 u))
v
(+ t1 u)
t1
u
-1
(/ v (neg (* (/ u t1) u)))
v
(neg (* (/ u t1) u))
(* (/ u t1) u)
(/ u t1)
u
t1
(/ (* (neg t1) v) (* u u))
(* (neg t1) v)
(neg t1)
t1
v
(* u u)
u

Outputs
(/ (/ v (+ t1 u)) (- -1 (/ u t1)))
(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 #s(literal -1 binary64) (/.f64 u t1)))
(/ v (+ t1 u))
(/.f64 v (+.f64 t1 u))
v
(+ t1 u)
(+.f64 t1 u)
t1
u
(- -1 (/ u t1))
(-.f64 #s(literal -1 binary64) (/.f64 u t1))
-1
#s(literal -1 binary64)
(/ u t1)
(/.f64 u t1)
(* v (/ -1 t1))
(/.f64 v (-.f64 #s(literal 0 binary64) t1))
v
(/ -1 t1)
(/.f64 #s(literal -1 binary64) t1)
-1
#s(literal -1 binary64)
t1
(/ (/ v (+ t1 u)) -1)
(/.f64 v (-.f64 (-.f64 #s(literal 0 binary64) t1) u))
(/ v (+ t1 u))
(/.f64 v (+.f64 t1 u))
v
(+ t1 u)
(+.f64 t1 u)
t1
u
-1
#s(literal -1 binary64)
(/ v (neg (* (/ u t1) u)))
(/.f64 (/.f64 v u) (-.f64 #s(literal 0 binary64) (/.f64 u t1)))
v
(neg (* (/ u t1) u))
(/.f64 (*.f64 u u) (-.f64 #s(literal 0 binary64) t1))
(* (/ u t1) u)
(/.f64 (*.f64 u u) t1)
(/ u t1)
(/.f64 u t1)
u
t1
(/ (* (neg t1) v) (* u u))
(/.f64 (/.f64 v u) (-.f64 #s(literal 0 binary64) (/.f64 u t1)))
(* (neg t1) v)
(-.f64 #s(literal 0 binary64) (*.f64 v t1))
(neg t1)
(-.f64 #s(literal 0 binary64) t1)
t1
v
(* u u)
(*.f64 u u)
u

localize79.0ms (0.8%)

Memory

-4.5MiB live, 34.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (neg.f64 t1) v)
✓	accuracy	100.0%	(*.f64 u u)
✓	accuracy	100.0%	(neg.f64 t1)
✓	accuracy	82.0%	(/.f64 (.f64 (neg.f64 t1) v) (.f64 u u))
✓	accuracy	100.0%	(/.f64 u t1)
✓	accuracy	100.0%	(neg.f64 (*.f64 (/.f64 u t1) u))
✓	accuracy	99.8%	(*.f64 (/.f64 u t1) u)
✓	accuracy	92.0%	(/.f64 v (neg.f64 (*.f64 (/.f64 u t1) u)))
✓	accuracy	100.0%	(/.f64 (/.f64 v (+.f64 t1 u)) #s(literal -1 binary64))
✓	accuracy	100.0%	(+.f64 t1 u)
✓	accuracy	100.0%	(/.f64 v (+.f64 t1 u))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) t1)
✓	accuracy	99.7%	(*.f64 v (/.f64 #s(literal -1 binary64) t1))
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) (/.f64 u t1))
✓	accuracy	100.0%	(+.f64 t1 u)
✓	accuracy	100.0%	(/.f64 v (+.f64 t1 u))
✓	accuracy	98.3%	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 #s(literal -1 binary64) (/.f64 u t1)))

Samples

56.0ms

256×

valid

Compiler

Compiled 108 to 21 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 11.0ms (49.7% of total)

ival-mult: 6.0ms (27.1% of total)

ival-add: 2.0ms (9% of total)

ival-neg: 2.0ms (9% of total)

ival-sub: 1.0ms (4.5% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

15 → 384

Calls

Call 1

Inputs
#<alt (/ (/ v (+ t1 u)) (- -1 (/ u t1)))>
#<alt (/ v (+ t1 u))>
#<alt (+ t1 u)>
#<alt (- -1 (/ u t1))>
#<alt (* v (/ -1 t1))>
#<alt (/ -1 t1)>
#<alt (/ (/ v (+ t1 u)) -1)>
#<alt (/ v (neg (* (/ u t1) u)))>
#<alt (* (/ u t1) u)>
#<alt (/ u t1)>
#<alt (neg (* (/ u t1) u))>
#<alt (/ (* (neg t1) v) (* u u))>
#<alt (* (neg t1) v)>
#<alt (* u u)>
#<alt (neg t1)>

Outputs
#<alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))>
#<alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))>
#<alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))>
#<alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))>
#<alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))>
#<alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))>
#<alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))>
#<alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))>
#<alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))>
#<alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))>
#<alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))>
#<alt (* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3)))))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))))))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4)))))))))>
#<alt (* -1 (/ v t1))>
#<alt (/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)>
#<alt (/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1)>
#<alt (/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1)>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow u 2) v)) (* 4 (* (pow u 2) v))) t1)) (* 2 (* u v))) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow u 2) v)) (+ (* -1 (/ (+ (* -2 (* (pow u 3) v)) (* 2 (* u (+ (* -1 (* (pow u 2) v)) (* 4 (* (pow u 2) v)))))) t1)) (* 4 (* (pow u 2) v)))) t1)) (* 2 (* u v))) t1))) t1))>
#<alt (* -1 (/ v t1))>
#<alt (+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))>
#<alt (+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3)))))))>
#<alt (+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3))))))))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))>
#<alt (/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2))>
#<alt (/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))>
#<alt (/ (+ (* -1 (* t1 v)) (* -1 (/ (- (+ (* -1 (/ (* (pow t1 3) v) u)) (* 4 (/ (* (pow t1 3) v) u))) (* 2 (* (pow t1 2) v))) u))) (pow u 2))>
#<alt (/ (+ (* -1 (* t1 v)) (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (pow t1 4) v) u)) (* 2 (/ (* t1 (+ (* -1 (* (pow t1 3) v)) (* 4 (* (pow t1 3) v)))) u))) (+ (* -1 (* (pow t1 3) v)) (* 4 (* (pow t1 3) v)))) u)) (* 2 (* (pow t1 2) v))) u))) (pow u 2))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v u)>
#<alt (+ (* -1 (/ (* t1 v) (pow u 2))) (/ v u))>
#<alt (+ (* t1 (- (/ (* t1 v) (pow u 3)) (/ v (pow u 2)))) (/ v u))>
#<alt (+ (* t1 (- (* t1 (- (* -1 (/ (* t1 v) (pow u 4))) (* -1 (/ v (pow u 3))))) (/ v (pow u 2)))) (/ v u))>
#<alt (/ v t1)>
#<alt (/ (+ v (* -1 (/ (* u v) t1))) t1)>
#<alt (/ (- (+ v (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1)) t1)>
#<alt (/ (- (+ v (* -1 (/ (* (pow u 3) v) (pow t1 3)))) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1))) t1)>
#<alt (/ v t1)>
#<alt (* -1 (/ (+ (* -1 v) (/ (* u v) t1)) t1))>
#<alt (* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ (* (pow u 2) v) t1) (* u v)) t1))) t1))>
#<alt (* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ (* (pow u 3) v) t1) (* (pow u 2) v)) t1)) (* u v)) t1))) t1))>
#<alt (/ v t1)>
#<alt (+ (* -1 (/ (* u v) (pow t1 2))) (/ v t1))>
#<alt (+ (* u (- (/ (* u v) (pow t1 3)) (/ v (pow t1 2)))) (/ v t1))>
#<alt (+ (* u (- (* u (- (* -1 (/ (* u v) (pow t1 4))) (* -1 (/ v (pow t1 3))))) (/ v (pow t1 2)))) (/ v t1))>
#<alt (/ v u)>
#<alt (/ (+ v (* -1 (/ (* t1 v) u))) u)>
#<alt (/ (- (+ v (/ (* (pow t1 2) v) (pow u 2))) (/ (* t1 v) u)) u)>
#<alt (/ (- (+ v (* -1 (/ (* (pow t1 3) v) (pow u 3)))) (+ (* -1 (/ (* (pow t1 2) v) (pow u 2))) (/ (* t1 v) u))) u)>
#<alt (/ v u)>
#<alt (* -1 (/ (+ (* -1 v) (/ (* t1 v) u)) u))>
#<alt (* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ (* (pow t1 2) v) u) (* t1 v)) u))) u))>
#<alt (* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ (* (pow t1 3) v) u) (* (pow t1 2) v)) u)) (* t1 v)) u))) u))>
#<alt u>
#<alt (+ t1 u)>
#<alt (+ t1 u)>
#<alt (+ t1 u)>
#<alt t1>
#<alt (* t1 (+ 1 (/ u t1)))>
#<alt (* t1 (+ 1 (/ u t1)))>
#<alt (* t1 (+ 1 (/ u t1)))>
#<alt t1>
#<alt (* -1 (* t1 (- (* -1 (/ u t1)) 1)))>
#<alt (* -1 (* t1 (- (* -1 (/ u t1)) 1)))>
#<alt (* -1 (* t1 (- (* -1 (/ u t1)) 1)))>
#<alt t1>
#<alt (+ t1 u)>
#<alt (+ t1 u)>
#<alt (+ t1 u)>
#<alt u>
#<alt (* u (+ 1 (/ t1 u)))>
#<alt (* u (+ 1 (/ t1 u)))>
#<alt (* u (+ 1 (/ t1 u)))>
#<alt u>
#<alt (* -1 (* u (- (* -1 (/ t1 u)) 1)))>
#<alt (* -1 (* u (- (* -1 (/ t1 u)) 1)))>
#<alt (* -1 (* u (- (* -1 (/ t1 u)) 1)))>
#<alt -1>
#<alt (- (* -1 (/ u t1)) 1)>
#<alt (- (* -1 (/ u t1)) 1)>
#<alt (- (* -1 (/ u t1)) 1)>
#<alt (* -1 (/ u t1))>
#<alt (* -1 (* u (+ (/ 1 t1) (/ 1 u))))>
#<alt (* -1 (* u (+ (/ 1 t1) (/ 1 u))))>
#<alt (* -1 (* u (+ (/ 1 t1) (/ 1 u))))>
#<alt (* -1 (/ u t1))>
#<alt (* -1 (* u (+ (/ 1 t1) (/ 1 u))))>
#<alt (* -1 (* u (+ (/ 1 t1) (/ 1 u))))>
#<alt (* -1 (* u (+ (/ 1 t1) (/ 1 u))))>
#<alt (* -1 (/ u t1))>
#<alt (/ (- (* -1 t1) u) t1)>
#<alt (/ (- (* -1 t1) u) t1)>
#<alt (/ (- (* -1 t1) u) t1)>
#<alt -1>
#<alt (- (* -1 (/ u t1)) 1)>
#<alt (- (* -1 (/ u t1)) 1)>
#<alt (- (* -1 (/ u t1)) 1)>
#<alt -1>
#<alt (- (* -1 (/ u t1)) 1)>
#<alt (- (* -1 (/ u t1)) 1)>
#<alt (- (* -1 (/ u t1)) 1)>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (/ -1 t1)>
#<alt (/ -1 t1)>
#<alt (/ -1 t1)>
#<alt (/ -1 t1)>
#<alt (/ -1 t1)>
#<alt (/ -1 t1)>
#<alt (/ -1 t1)>
#<alt (/ -1 t1)>
#<alt (/ -1 t1)>
#<alt (/ -1 t1)>
#<alt (/ -1 t1)>
#<alt (/ -1 t1)>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v u))>
#<alt (+ (* -1 (/ v u)) (/ (* t1 v) (pow u 2)))>
#<alt (+ (* -1 (/ v u)) (* t1 (+ (* -1 (/ (* t1 v) (pow u 3))) (/ v (pow u 2)))))>
#<alt (+ (* -1 (/ v u)) (* t1 (+ (* t1 (+ (* -1 (/ v (pow u 3))) (/ (* t1 v) (pow u 4)))) (/ v (pow u 2)))))>
#<alt (* -1 (/ v t1))>
#<alt (/ (+ (* -1 v) (/ (* u v) t1)) t1)>
#<alt (/ (+ (* -1 v) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1))) t1)>
#<alt (/ (+ (* -1 v) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (+ (/ (* u v) t1) (/ (* (pow u 3) v) (pow t1 3))))) t1)>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (* u v) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (* (pow u 2) v) t1)) (* u v)) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow u 3) v) t1)) (* (pow u 2) v)) t1)) (* u v)) t1))) t1))>
#<alt (* -1 (/ v t1))>
#<alt (+ (* -1 (/ v t1)) (/ (* u v) (pow t1 2)))>
#<alt (+ (* -1 (/ v t1)) (* u (+ (* -1 (/ (* u v) (pow t1 3))) (/ v (pow t1 2)))))>
#<alt (+ (* -1 (/ v t1)) (* u (+ (* u (+ (* -1 (/ v (pow t1 3))) (/ (* u v) (pow t1 4)))) (/ v (pow t1 2)))))>
#<alt (* -1 (/ v u))>
#<alt (/ (+ (* -1 v) (/ (* t1 v) u)) u)>
#<alt (/ (+ (* -1 v) (+ (* -1 (/ (* (pow t1 2) v) (pow u 2))) (/ (* t1 v) u))) u)>
#<alt (/ (+ (* -1 v) (+ (* -1 (/ (* (pow t1 2) v) (pow u 2))) (+ (/ (* t1 v) u) (/ (* (pow t1 3) v) (pow u 3))))) u)>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ (+ v (* -1 (/ (* t1 v) u))) u))>
#<alt (* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (* (pow t1 2) v) u)) (* t1 v)) u))) u))>
#<alt (* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow t1 3) v) u)) (* (pow t1 2) v)) u)) (* t1 v)) u))) u))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ u t1)>
#<alt (/ u t1)>
#<alt (/ u t1)>
#<alt (/ u t1)>
#<alt (/ u t1)>
#<alt (/ u t1)>
#<alt (/ u t1)>
#<alt (/ u t1)>
#<alt (/ u t1)>
#<alt (/ u t1)>
#<alt (/ u t1)>
#<alt (/ u t1)>
#<alt (/ u t1)>
#<alt (/ u t1)>
#<alt (/ u t1)>
#<alt (/ u t1)>
#<alt (/ u t1)>
#<alt (/ u t1)>
#<alt (/ u t1)>
#<alt (/ u t1)>
#<alt (/ u t1)>
#<alt (/ u t1)>
#<alt (/ u t1)>
#<alt (/ u t1)>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>

Calls

96 calls:

Time	Variable		Point	Expression
1.0ms	t1	@	-inf	(/ (/ v (+ t1 u)) (- -1 (/ u t1)))
0.0ms	v	@	0	(* v (/ -1 t1))
0.0ms	t1	@	0	(/ -1 t1)
0.0ms	t1	@	inf	(/ -1 t1)
0.0ms	u	@	-inf	(/ u t1)

rewrite521.0ms (5%)

Memory

-40.6MiB live, 503.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 952×	`-lowering-.f32`
4 952×	`-lowering-.f64`
4 482×	`/-lowering-/.f32`
4 482×	`/-lowering-/.f64`
4 296×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	78
1	120	76
2	868	76
0	8586	76

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 942

Calls

Call 1

Inputs
(/ (/ v (+ t1 u)) (- -1 (/ u t1)))
(/ v (+ t1 u))
(+ t1 u)
(- -1 (/ u t1))
(* v (/ -1 t1))
(/ -1 t1)
(/ (/ v (+ t1 u)) -1)
(/ v (neg (* (/ u t1) u)))
(* (/ u t1) u)
(/ u t1)
(neg (* (/ u t1) u))
(/ (* (neg t1) v) (* u u))
(* (neg t1) v)
(* u u)
(neg t1)

Outputs
(+.f64 (/.f64 v (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 u (/.f64 t1 u)) (/.f64 t1 (/.f64 u t1)))) (+.f64 t1 u))) (.f64 (.f64 (/.f64 u t1) (+.f64 #s(literal -1 binary64) (/.f64 u t1))) (/.f64 v (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 u (/.f64 t1 u)) (/.f64 t1 (/.f64 u t1)))) (+.f64 t1 u)))))
(+.f64 (.f64 (/.f64 v (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 u (/.f64 t1 u)) (/.f64 t1 (/.f64 u t1)))) (+.f64 t1 u))) #s(literal 1 binary64)) (.f64 (/.f64 v (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 u (/.f64 t1 u)) (/.f64 t1 (/.f64 u t1)))) (+.f64 t1 u))) (*.f64 (/.f64 u t1) (+.f64 #s(literal -1 binary64) (/.f64 u t1)))))
(+.f64 (.f64 (/.f64 v (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 u (/.f64 t1 u)) (/.f64 t1 (/.f64 u t1)))) (+.f64 t1 u))) (.f64 (/.f64 u t1) (+.f64 #s(literal -1 binary64) (/.f64 u t1)))) (.f64 (/.f64 v (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 u (/.f64 t1 u)) (/.f64 t1 (/.f64 u t1)))) (+.f64 t1 u))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 v (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 u (/.f64 t1 u)) (/.f64 t1 (/.f64 u t1)))) (+.f64 t1 u))) (+.f64 #s(literal 1 binary64) (/.f64 u (/.f64 t1 (/.f64 u t1))))) (.f64 (/.f64 v (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 u (/.f64 t1 u)) (/.f64 t1 (/.f64 u t1)))) (+.f64 t1 u))) (/.f64 u (-.f64 #s(literal 0 binary64) t1))))
(+.f64 (.f64 (/.f64 v (.f64 (-.f64 #s(literal 1 binary64) (/.f64 u (/.f64 t1 (/.f64 u t1)))) (+.f64 t1 u))) #s(literal -1 binary64)) (.f64 (/.f64 v (.f64 (-.f64 #s(literal 1 binary64) (/.f64 u (/.f64 t1 (/.f64 u t1)))) (+.f64 t1 u))) (/.f64 u t1)))
(+.f64 (.f64 (/.f64 v (.f64 (-.f64 #s(literal 1 binary64) (/.f64 u (/.f64 t1 (/.f64 u t1)))) (+.f64 t1 u))) (/.f64 u t1)) (.f64 (/.f64 v (.f64 (-.f64 #s(literal 1 binary64) (/.f64 u (/.f64 t1 (/.f64 u t1)))) (+.f64 t1 u))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (/.f64 u t1) (+.f64 #s(literal -1 binary64) (/.f64 u t1))) (/.f64 v (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 u (/.f64 t1 u)) (/.f64 t1 (/.f64 u t1)))) (+.f64 t1 u)))) (/.f64 v (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 u (/.f64 t1 u)) (/.f64 t1 (/.f64 u t1)))) (+.f64 t1 u))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 u (/.f64 t1 (/.f64 u t1)))) (/.f64 v (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 u (/.f64 t1 u)) (/.f64 t1 (/.f64 u t1)))) (+.f64 t1 u)))) (.f64 (/.f64 u (-.f64 #s(literal 0 binary64) t1)) (/.f64 v (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 u (/.f64 t1 u)) (/.f64 t1 (/.f64 u t1)))) (+.f64 t1 u)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 v (.f64 (-.f64 #s(literal 1 binary64) (/.f64 u (/.f64 t1 (/.f64 u t1)))) (+.f64 t1 u)))) (.f64 (/.f64 u t1) (/.f64 v (.f64 (-.f64 #s(literal 1 binary64) (/.f64 u (/.f64 t1 (/.f64 u t1)))) (+.f64 t1 u)))))
(+.f64 (.f64 (/.f64 u t1) (/.f64 v (.f64 (-.f64 #s(literal 1 binary64) (/.f64 u (/.f64 t1 (/.f64 u t1)))) (+.f64 t1 u)))) (.f64 #s(literal -1 binary64) (/.f64 v (.f64 (-.f64 #s(literal 1 binary64) (/.f64 u (/.f64 t1 (/.f64 u t1)))) (+.f64 t1 u)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 u t1)) (/.f64 v (+.f64 t1 u)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 v (+.f64 t1 u)) (+.f64 (/.f64 u t1) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (/.f64 u t1) #s(literal 1 binary64))) (/.f64 (/.f64 v (+.f64 t1 u)) (+.f64 (/.f64 u t1) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 t1 u) (+.f64 (/.f64 u t1) #s(literal 1 binary64)))) (/.f64 (/.f64 v (+.f64 t1 u)) (+.f64 (/.f64 u t1) #s(literal 1 binary64))))
(fma.f64 v (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 u (/.f64 t1 u)) (/.f64 t1 (/.f64 u t1))))) (.f64 (.f64 (/.f64 u t1) (+.f64 #s(literal -1 binary64) (/.f64 u t1))) (/.f64 v (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 u (/.f64 t1 u)) (/.f64 t1 (/.f64 u t1)))) (+.f64 t1 u)))))
(fma.f64 (/.f64 v (+.f64 t1 u)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 u (/.f64 t1 u)) (/.f64 t1 (/.f64 u t1))))) (.f64 (.f64 (/.f64 u t1) (+.f64 #s(literal -1 binary64) (/.f64 u t1))) (/.f64 v (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 u (/.f64 t1 u)) (/.f64 t1 (/.f64 u t1)))) (+.f64 t1 u)))))
(fma.f64 #s(literal -1 binary64) (/.f64 v (.f64 (-.f64 #s(literal 1 binary64) (/.f64 u (/.f64 t1 (/.f64 u t1)))) (+.f64 t1 u))) (.f64 (/.f64 u t1) (/.f64 v (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 u (/.f64 t1 (/.f64 u t1)))) (+.f64 t1 u)))))
(fma.f64 (/.f64 u t1) (/.f64 v (.f64 (-.f64 #s(literal 1 binary64) (/.f64 u (/.f64 t1 (/.f64 u t1)))) (+.f64 t1 u))) (.f64 #s(literal -1 binary64) (/.f64 v (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 u (/.f64 t1 (/.f64 u t1)))) (+.f64 t1 u)))))
(fma.f64 (-.f64 #s(literal 0 binary64) v) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 u (/.f64 t1 u)) (/.f64 t1 (/.f64 u t1))))) (.f64 (.f64 (/.f64 u t1) (+.f64 #s(literal -1 binary64) (/.f64 u t1))) (/.f64 v (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 u (/.f64 t1 u)) (/.f64 t1 (/.f64 u t1)))) (+.f64 t1 u)))))
(fma.f64 #s(literal 1 binary64) (/.f64 v (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 u (/.f64 t1 u)) (/.f64 t1 (/.f64 u t1)))) (+.f64 t1 u))) (.f64 (.f64 (/.f64 u t1) (+.f64 #s(literal -1 binary64) (/.f64 u t1))) (/.f64 v (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 u (/.f64 t1 u)) (/.f64 t1 (/.f64 u t1)))) (+.f64 t1 u)))))
(fma.f64 (.f64 (/.f64 u t1) (+.f64 #s(literal -1 binary64) (/.f64 u t1))) (/.f64 v (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 u (/.f64 t1 u)) (/.f64 t1 (/.f64 u t1)))) (+.f64 t1 u))) (/.f64 v (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 u (/.f64 t1 u)) (/.f64 t1 (/.f64 u t1)))) (+.f64 t1 u))))
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(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 v t1) (.f64 v t1))) (.f64 v t1))
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simplify621.0ms (5.9%)

Memory

6.4MiB live, 1 117.6MiB allocated

Algorithm

1×	egg-herbie

Rules

16 292×	`accelerator-lowering-fma.f32`
16 292×	`accelerator-lowering-fma.f64`
4 948×	`+-lowering-+.f64`
4 948×	`+-lowering-+.f32`
4 372×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	376	3134
1	1200	3032
2	3761	2871
0	8375	2821

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

Inputs
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))
(* -1 (/ v (* (+ 1 (/ u t1)) (+ t1 u))))
(* -1 (/ (* t1 v) (pow u 2)))
(* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3)))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4)))))))))
(* -1 (/ v t1))
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1)
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Outputs
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eval268.0ms (2.6%)

Memory: 52.3MiB live, 456.4MiB allocated
Compiler: Compiled 27 874 to 2 715 computations (90.3% saved)

prune213.0ms (2%)

Memory

1.0MiB live, 589.9MiB allocated

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	1 620	7	1 627
Fresh	0	7	7
Picked	2	3	5
Done	0	3	3
Total	1 622	20	1 642

Accuracy

100.0%

Counts

1 642 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.9%	(/.f64 (/.f64 v (-.f64 #s(literal -1 binary64) (/.f64 u t1))) (+.f64 u t1))
✓	98.3%	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 #s(literal -1 binary64) (/.f64 u t1)))
	49.7%	(/.f64 (/.f64 v u) (-.f64 #s(literal -1 binary64) (/.f64 u t1)))
	49.7%	(/.f64 (/.f64 v u) (neg.f64 (/.f64 (+.f64 t1 u) t1)))
	16.9%	(/.f64 (/.f64 v u) #s(literal -1 binary64))
✓	54.0%	(/.f64 (-.f64 (/.f64 (.f64 v (.f64 u #s(literal 2 binary64))) t1) v) t1)
✓	41.6%	(/.f64 (.f64 (neg.f64 t1) v) (.f64 u u))
	54.9%	(/.f64 (*.f64 v (+.f64 #s(literal -1 binary64) (/.f64 u t1))) t1)
	51.3%	(/.f64 (neg.f64 (/.f64 v u)) (/.f64 u t1))
	43.2%	(/.f64 v (neg.f64 (/.f64 (*.f64 u u) t1)))
✓	47.7%	(/.f64 v (neg.f64 (*.f64 (/.f64 u t1) u)))
	64.7%	(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 t1 u) v))
	57.3%	(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
✓	46.1%	(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 v t1) u) u))
	51.1%	(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 v u) t1) u))
	51.4%	(*.f64 (/.f64 v (neg.f64 u)) (/.f64 t1 u))
	64.3%	(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) v)
	53.6%	(*.f64 t1 (neg.f64 (/.f64 (/.f64 v (+.f64 t1 u)) t1)))
	64.5%	(neg.f64 (/.f64 v (+.f64 t1 u)))
✓	57.2%	(neg.f64 (/.f64 v t1))

Compiler

Compiled 590 to 253 computations (57.1% saved)

regimes68.0ms (0.6%)

Memory

-25.0MiB live, 136.0MiB allocated

Counts

39 → 1

Calls

Call 1

Inputs
(neg.f64 (/.f64 v t1))
(*.f64 v (/.f64 #s(literal -1 binary64) t1))
(-.f64 #s(literal 0 binary64) (/.f64 v t1))
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(/.f64 (/.f64 v u) #s(literal -1 binary64))
(neg.f64 (/.f64 v (+.f64 t1 u)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) v)
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 t1 u) v))
(/.f64 (/.f64 v (+.f64 t1 u)) #s(literal -1 binary64))
(*.f64 (/.f64 v (neg.f64 u)) (/.f64 t1 u))
(/.f64 v (neg.f64 (*.f64 (/.f64 u t1) u)))
(/.f64 v (neg.f64 (/.f64 u (/.f64 t1 u))))
(/.f64 v (neg.f64 (/.f64 (*.f64 u u) t1)))
(/.f64 (neg.f64 (/.f64 v u)) (/.f64 u t1))
(/.f64 (.f64 (neg.f64 t1) v) (.f64 u u))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (.f64 v (/.f64 t1 (.f64 u u))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 v u) t1) u))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 v u) (/.f64 u t1)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 v t1) u) u))
(/.f64 (*.f64 v (+.f64 #s(literal -1 binary64) (/.f64 u t1))) t1)
(/.f64 (/.f64 v u) (-.f64 #s(literal -1 binary64) (/.f64 u t1)))
(*.f64 t1 (neg.f64 (/.f64 (/.f64 v (+.f64 t1 u)) t1)))
(*.f64 t1 (neg.f64 (/.f64 (/.f64 v (+.f64 t1 u)) u)))
(/.f64 (/.f64 v u) (neg.f64 (/.f64 (+.f64 t1 u) t1)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u)) (/.f64 t1 u))
(/.f64 (-.f64 (/.f64 (.f64 v (.f64 u #s(literal 2 binary64))) t1) v) t1)
(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 #s(literal -1 binary64) (/.f64 u t1)))
(/.f64 (/.f64 v (-.f64 #s(literal -1 binary64) (/.f64 u t1))) (+.f64 u t1))
(*.f64 t1 (neg.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (+.f64 t1 u))))
(/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)))
(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
(/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1)))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) (.f64 t1 (/.f64 v (+.f64 t1 u))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))
(/.f64 (-.f64 #s(literal 0 binary64) t1) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)))
(/.f64 (/.f64 t1 (-.f64 #s(literal 0 binary64) (+.f64 t1 u))) (/.f64 (+.f64 t1 u) v))
(/.f64 (/.f64 v (/.f64 (+.f64 t1 u) t1)) (-.f64 #s(literal 0 binary64) (+.f64 t1 u)))
(/.f64 (.f64 #s(literal 1 binary64) v) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) t1) (+.f64 t1 u)))

Outputs
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))

Calls

4 calls:

32.0ms	v
12.0ms	u
11.0ms	t1
10.0ms	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))

Results

Accuracy	Segments	Branch
98.3%	1	`u`
98.3%	1	`v`
98.3%	1	`t1`
98.3%	1	`(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes42.0ms (0.4%)

Memory

-3.0MiB live, 117.3MiB allocated

Counts

34 → 1

Calls

Call 1

Inputs
(neg.f64 (/.f64 v t1))
(*.f64 v (/.f64 #s(literal -1 binary64) t1))
(-.f64 #s(literal 0 binary64) (/.f64 v t1))
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(/.f64 (/.f64 v u) #s(literal -1 binary64))
(neg.f64 (/.f64 v (+.f64 t1 u)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) v)
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 t1 u) v))
(/.f64 (/.f64 v (+.f64 t1 u)) #s(literal -1 binary64))
(*.f64 (/.f64 v (neg.f64 u)) (/.f64 t1 u))
(/.f64 v (neg.f64 (*.f64 (/.f64 u t1) u)))
(/.f64 v (neg.f64 (/.f64 u (/.f64 t1 u))))
(/.f64 v (neg.f64 (/.f64 (*.f64 u u) t1)))
(/.f64 (neg.f64 (/.f64 v u)) (/.f64 u t1))
(/.f64 (.f64 (neg.f64 t1) v) (.f64 u u))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (.f64 v (/.f64 t1 (.f64 u u))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 v u) t1) u))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 v u) (/.f64 u t1)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 v t1) u) u))
(/.f64 (*.f64 v (+.f64 #s(literal -1 binary64) (/.f64 u t1))) t1)
(/.f64 (/.f64 v u) (-.f64 #s(literal -1 binary64) (/.f64 u t1)))
(*.f64 t1 (neg.f64 (/.f64 (/.f64 v (+.f64 t1 u)) t1)))
(*.f64 t1 (neg.f64 (/.f64 (/.f64 v (+.f64 t1 u)) u)))
(/.f64 (/.f64 v u) (neg.f64 (/.f64 (+.f64 t1 u) t1)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u)) (/.f64 t1 u))
(/.f64 (-.f64 (/.f64 (.f64 v (.f64 u #s(literal 2 binary64))) t1) v) t1)
(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 #s(literal -1 binary64) (/.f64 u t1)))
(/.f64 (/.f64 v (-.f64 #s(literal -1 binary64) (/.f64 u t1))) (+.f64 u t1))
(*.f64 t1 (neg.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (+.f64 t1 u))))
(/.f64 (neg.f64 t1) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)))
(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
(/.f64 (/.f64 v (+.f64 t1 u)) (neg.f64 (/.f64 (+.f64 t1 u) t1)))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) (.f64 t1 (/.f64 v (+.f64 t1 u))))

Outputs
(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 #s(literal -1 binary64) (/.f64 u t1)))

Calls

4 calls:

11.0ms	u
10.0ms	t1
10.0ms	v
9.0ms	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))

Results

Accuracy	Segments	Branch
98.3%	1	`u`
98.3%	1	`v`
98.3%	1	`t1`
98.3%	1	`(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes27.0ms (0.3%)

Memory

-6.9MiB live, 72.1MiB allocated

Counts

27 → 3

Calls

Call 1

Inputs
(neg.f64 (/.f64 v t1))
(*.f64 v (/.f64 #s(literal -1 binary64) t1))
(-.f64 #s(literal 0 binary64) (/.f64 v t1))
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(/.f64 (/.f64 v u) #s(literal -1 binary64))
(neg.f64 (/.f64 v (+.f64 t1 u)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) v)
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 t1 u) v))
(/.f64 (/.f64 v (+.f64 t1 u)) #s(literal -1 binary64))
(*.f64 (/.f64 v (neg.f64 u)) (/.f64 t1 u))
(/.f64 v (neg.f64 (*.f64 (/.f64 u t1) u)))
(/.f64 v (neg.f64 (/.f64 u (/.f64 t1 u))))
(/.f64 v (neg.f64 (/.f64 (*.f64 u u) t1)))
(/.f64 (neg.f64 (/.f64 v u)) (/.f64 u t1))
(/.f64 (.f64 (neg.f64 t1) v) (.f64 u u))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (.f64 v (/.f64 t1 (.f64 u u))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 v u) t1) u))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 v u) (/.f64 u t1)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 v t1) u) u))
(/.f64 (*.f64 v (+.f64 #s(literal -1 binary64) (/.f64 u t1))) t1)
(/.f64 (/.f64 v u) (-.f64 #s(literal -1 binary64) (/.f64 u t1)))
(*.f64 t1 (neg.f64 (/.f64 (/.f64 v (+.f64 t1 u)) t1)))
(*.f64 t1 (neg.f64 (/.f64 (/.f64 v (+.f64 t1 u)) u)))
(/.f64 (/.f64 v u) (neg.f64 (/.f64 (+.f64 t1 u) t1)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u)) (/.f64 t1 u))
(/.f64 (-.f64 (/.f64 (.f64 v (.f64 u #s(literal 2 binary64))) t1) v) t1)

Outputs
(neg.f64 (/.f64 v (+.f64 t1 u)))
(/.f64 v (neg.f64 (/.f64 u (/.f64 t1 u))))
(neg.f64 (/.f64 v (+.f64 t1 u)))

Calls

3 calls:

9.0ms	t1
8.0ms	u
8.0ms	v

Results

Accuracy	Segments	Branch
80.0%	3	`u`
73.2%	4	`v`
86.6%	3	`t1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

11 → 3

Calls

Call 1

Inputs
(neg.f64 (/.f64 v t1))
(*.f64 v (/.f64 #s(literal -1 binary64) t1))
(-.f64 #s(literal 0 binary64) (/.f64 v t1))
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(/.f64 (/.f64 v u) #s(literal -1 binary64))
(neg.f64 (/.f64 v (+.f64 t1 u)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) v)
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 t1 u) v))
(/.f64 (/.f64 v (+.f64 t1 u)) #s(literal -1 binary64))
(*.f64 (/.f64 v (neg.f64 u)) (/.f64 t1 u))
(/.f64 v (neg.f64 (*.f64 (/.f64 u t1) u)))

Outputs
(neg.f64 (/.f64 v (+.f64 t1 u)))
(/.f64 v (neg.f64 (*.f64 (/.f64 u t1) u)))
(neg.f64 (/.f64 v (+.f64 t1 u)))

Calls

1 calls:

4.0ms

t1

Results

Accuracy	Segments	Branch
86.6%	3	`t1`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

10 → 3

Calls

Call 1

Inputs
(neg.f64 (/.f64 v t1))
(*.f64 v (/.f64 #s(literal -1 binary64) t1))
(-.f64 #s(literal 0 binary64) (/.f64 v t1))
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(/.f64 (/.f64 v u) #s(literal -1 binary64))
(neg.f64 (/.f64 v (+.f64 t1 u)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) v)
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 t1 u) v))
(/.f64 (/.f64 v (+.f64 t1 u)) #s(literal -1 binary64))
(*.f64 (/.f64 v (neg.f64 u)) (/.f64 t1 u))

Outputs
(neg.f64 (/.f64 v (+.f64 t1 u)))
(*.f64 (/.f64 v (neg.f64 u)) (/.f64 t1 u))
(neg.f64 (/.f64 v (+.f64 t1 u)))

Calls

1 calls:

4.0ms

t1

Results

Accuracy	Segments	Branch
85.9%	3	`t1`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes28.0ms (0.3%)

Memory

-13.5MiB live, 25.9MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
(neg.f64 (/.f64 v t1))
(*.f64 v (/.f64 #s(literal -1 binary64) t1))
(-.f64 #s(literal 0 binary64) (/.f64 v t1))
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(/.f64 (/.f64 v u) #s(literal -1 binary64))
(neg.f64 (/.f64 v (+.f64 t1 u)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) v)
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 t1 u) v))
(/.f64 (/.f64 v (+.f64 t1 u)) #s(literal -1 binary64))

Outputs
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 t1 u) v))

Calls

3 calls:

21.0ms	t1
3.0ms	v
3.0ms	u

Results

Accuracy	Segments	Branch
64.7%	1	`v`
64.7%	1	`u`
64.7%	1	`t1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes22.0ms (0.2%)

Memory

-23.7MiB live, 17.7MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
(neg.f64 (/.f64 v t1))
(*.f64 v (/.f64 #s(literal -1 binary64) t1))
(-.f64 #s(literal 0 binary64) (/.f64 v t1))
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(/.f64 (/.f64 v u) #s(literal -1 binary64))
(neg.f64 (/.f64 v (+.f64 t1 u)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) v)

Outputs
(neg.f64 (/.f64 v (+.f64 t1 u)))

Calls

3 calls:

16.0ms	v
3.0ms	t1
3.0ms	u

Results

Accuracy	Segments	Branch
64.5%	1	`v`
64.5%	1	`u`
64.5%	1	`t1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
(neg.f64 (/.f64 v t1))
(*.f64 v (/.f64 #s(literal -1 binary64) t1))
(-.f64 #s(literal 0 binary64) (/.f64 v t1))
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(/.f64 (/.f64 v u) #s(literal -1 binary64))

Outputs
(/.f64 (/.f64 v u) #s(literal -1 binary64))
(neg.f64 (/.f64 v t1))
(/.f64 (/.f64 v u) #s(literal -1 binary64))

Calls

3 calls:

2.0ms	v
2.0ms	u
2.0ms	t1

Results

Accuracy	Segments	Branch
57.3%	1	`v`
60.6%	3	`t1`
62.8%	3	`u`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
(neg.f64 (/.f64 v t1))
(*.f64 v (/.f64 #s(literal -1 binary64) t1))
(-.f64 #s(literal 0 binary64) (/.f64 v t1))
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))

Outputs
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))

Calls

3 calls:

2.0ms	t1
2.0ms	u
2.0ms	v

Results

Accuracy	Segments	Branch
57.3%	1	`v`
57.3%	1	`t1`
57.3%	1	`u`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Memory

-23.3MiB live, 15.8MiB allocated

Accuracy

Total -0.1b remaining (-0.4%)

Threshold costs -0.1b (-0.4%)

Counts

3 → 1

Calls

Call 1

Inputs
(neg.f64 (/.f64 v t1))
(*.f64 v (/.f64 #s(literal -1 binary64) t1))
(-.f64 #s(literal 0 binary64) (/.f64 v t1))

Outputs
(neg.f64 (/.f64 v t1))

Calls

3 calls:

3.0ms	v
2.0ms	t1
2.0ms	u

Results

Accuracy	Segments	Branch
57.2%	1	`t1`
57.2%	1	`u`
57.2%	1	`v`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch25.0ms (0.2%)

Memory

20.1MiB live, 59.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.2347093986693492e-130	3.909066449211576e-128
12.0ms	-3.98748854603728e-47	-4.1654470381975215e-50

Samples

15.0ms

256×

valid

Compiler

Compiled 370 to 254 computations (31.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (39.7% of total)

ival-div: 2.0ms (26.4% of total)

ival-add: 1.0ms (13.2% of total)

ival-neg: 1.0ms (13.2% of total)

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

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

bsearch27.0ms (0.3%)

Memory

-19.3MiB live, 59.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.2347093986693492e-130	3.909066449211576e-128
12.0ms	-3.98748854603728e-47	-4.1654470381975215e-50

Samples

17.0ms

256×

valid

Compiler

Compiled 370 to 254 computations (31.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 6.0ms (61.2% of total)

ival-div: 1.0ms (10.2% of total)

ival-add: 1.0ms (10.2% of total)

ival-neg: 1.0ms (10.2% of total)

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

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

bsearch25.0ms (0.2%)

Memory

19.0MiB live, 58.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.2347093986693492e-130	3.909066449211576e-128
11.0ms	-3.98748854603728e-47	-4.1654470381975215e-50

Samples

14.0ms

256×

valid

Compiler

Compiled 370 to 254 computations (31.4% saved)

Precisions

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

ival-mult: 3.0ms (40.2% of total)

ival-div: 1.0ms (13.4% of total)

ival-add: 1.0ms (13.4% of total)

ival-neg: 1.0ms (13.4% of total)

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

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

bsearch24.0ms (0.2%)

Memory

-20.6MiB live, 57.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	5.829049419425503e+123	5.912416758928254e+127
10.0ms	-5.551467698767637e+210	-3.0967775333460334e+209

Samples

14.0ms

240×

valid

Compiler

Compiled 273 to 209 computations (23.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (37.6% of total)

ival-add: 2.0ms (25% of total)

ival-div: 1.0ms (12.5% of total)

ival-neg: 1.0ms (12.5% of total)

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

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

simplify17.0ms (0.2%)

Memory

-5.9MiB live, 36.5MiB allocated

Algorithm

1×	egg-herbie

Rules

42×	`*-commutative_binary64`
36×	`+-commutative_binary64`
36×	`neg-mul-1_binary64`
34×	`sub-neg_binary64`
34×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	132
1	104	132
2	151	132
3	186	132
4	201	132
5	205	132
6	206	132

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))
(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 #s(literal -1 binary64) (/.f64 u t1)))
(if (<=.f64 t1 #s(literal -806297233087391/3291009114642412084309938365114701009965471731267159726697218048 binary64)) (neg.f64 (/.f64 v (+.f64 t1 u))) (if (<=.f64 t1 #s(literal 1170655706368497/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272 binary64)) (/.f64 v (neg.f64 (/.f64 u (/.f64 t1 u)))) (neg.f64 (/.f64 v (+.f64 t1 u)))))
(if (<=.f64 t1 #s(literal -7404770507945427/411376139330301510538742295639337626245683966408394965837152256 binary64)) (neg.f64 (/.f64 v (+.f64 t1 u))) (if (<=.f64 t1 #s(literal 7609262091395231/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136 binary64)) (/.f64 v (neg.f64 (*.f64 (/.f64 u t1) u))) (neg.f64 (/.f64 v (+.f64 t1 u)))))
(if (<=.f64 t1 #s(literal -7898421875141789/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (neg.f64 (/.f64 v (+.f64 t1 u))) (if (<=.f64 t1 #s(literal 7023934238210983/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088 binary64)) (*.f64 (/.f64 v (neg.f64 u)) (/.f64 t1 u)) (neg.f64 (/.f64 v (+.f64 t1 u)))))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 t1 u) v))
(neg.f64 (/.f64 v (+.f64 t1 u)))
(if (<=.f64 u #s(literal -310000000000000008064873500417979597394260317827371332054762440381353073040299726803682122076828161108038317064317786396882808018474150044274840307182425466627668562657175110267660672938501601957384027841232896 binary64)) (/.f64 (/.f64 v u) #s(literal -1 binary64)) (if (<=.f64 u #s(literal 17999999999999998948233159736922529935657592046062231809993433760320239050097518834979698102400598530881012844696193569178779648 binary64)) (neg.f64 (/.f64 v t1)) (/.f64 (/.f64 v u) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(neg.f64 (/.f64 v t1))

Outputs
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))
(*.f64 (/.f64 t1 (+.f64 t1 u)) (-.f64 #s(literal 0 binary64) (/.f64 v (+.f64 t1 u))))
(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 #s(literal -1 binary64) (/.f64 u t1)))
(if (<=.f64 t1 #s(literal -806297233087391/3291009114642412084309938365114701009965471731267159726697218048 binary64)) (neg.f64 (/.f64 v (+.f64 t1 u))) (if (<=.f64 t1 #s(literal 1170655706368497/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272 binary64)) (/.f64 v (neg.f64 (/.f64 u (/.f64 t1 u)))) (neg.f64 (/.f64 v (+.f64 t1 u)))))
(if (<=.f64 t1 #s(literal -806297233087391/3291009114642412084309938365114701009965471731267159726697218048 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 v (+.f64 t1 u))) (if (<=.f64 t1 #s(literal 1170655706368497/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272 binary64)) (/.f64 v (-.f64 #s(literal 0 binary64) (/.f64 u (/.f64 t1 u)))) (-.f64 #s(literal 0 binary64) (/.f64 v (+.f64 t1 u)))))
(if (<=.f64 t1 #s(literal -7404770507945427/411376139330301510538742295639337626245683966408394965837152256 binary64)) (neg.f64 (/.f64 v (+.f64 t1 u))) (if (<=.f64 t1 #s(literal 7609262091395231/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136 binary64)) (/.f64 v (neg.f64 (*.f64 (/.f64 u t1) u))) (neg.f64 (/.f64 v (+.f64 t1 u)))))
(if (<=.f64 t1 #s(literal -7404770507945427/411376139330301510538742295639337626245683966408394965837152256 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 v (+.f64 t1 u))) (if (<=.f64 t1 #s(literal 7609262091395231/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136 binary64)) (/.f64 v (*.f64 u (/.f64 u (-.f64 #s(literal 0 binary64) t1)))) (-.f64 #s(literal 0 binary64) (/.f64 v (+.f64 t1 u)))))
(if (<=.f64 t1 #s(literal -7898421875141789/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (neg.f64 (/.f64 v (+.f64 t1 u))) (if (<=.f64 t1 #s(literal 7023934238210983/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088 binary64)) (*.f64 (/.f64 v (neg.f64 u)) (/.f64 t1 u)) (neg.f64 (/.f64 v (+.f64 t1 u)))))
(if (<=.f64 t1 #s(literal -7898421875141789/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 v (+.f64 t1 u))) (if (<=.f64 t1 #s(literal 7023934238210983/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088 binary64)) (*.f64 (/.f64 t1 u) (/.f64 v (-.f64 #s(literal 0 binary64) u))) (-.f64 #s(literal 0 binary64) (/.f64 v (+.f64 t1 u)))))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 t1 u) v))
(neg.f64 (/.f64 v (+.f64 t1 u)))
(-.f64 #s(literal 0 binary64) (/.f64 v (+.f64 t1 u)))
(if (<=.f64 u #s(literal -310000000000000008064873500417979597394260317827371332054762440381353073040299726803682122076828161108038317064317786396882808018474150044274840307182425466627668562657175110267660672938501601957384027841232896 binary64)) (/.f64 (/.f64 v u) #s(literal -1 binary64)) (if (<=.f64 u #s(literal 17999999999999998948233159736922529935657592046062231809993433760320239050097518834979698102400598530881012844696193569178779648 binary64)) (neg.f64 (/.f64 v t1)) (/.f64 (/.f64 v u) #s(literal -1 binary64))))
(if (<=.f64 u #s(literal -310000000000000008064873500417979597394260317827371332054762440381353073040299726803682122076828161108038317064317786396882808018474150044274840307182425466627668562657175110267660672938501601957384027841232896 binary64)) (/.f64 (/.f64 v u) #s(literal -1 binary64)) (if (<=.f64 u #s(literal 17999999999999998948233159736922529935657592046062231809993433760320239050097518834979698102400598530881012844696193569178779648 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 v t1)) (/.f64 (/.f64 v u) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(neg.f64 (/.f64 v t1))
(-.f64 #s(literal 0 binary64) (/.f64 v t1))

soundness1.1s (10.7%)

Memory

52.6MiB live, 1 110.7MiB allocated

Rules

16 292×	`accelerator-lowering-fma.f32`
16 292×	`accelerator-lowering-fma.f64`
16 180×	`accelerator-lowering-fma.f32`
16 180×	`accelerator-lowering-fma.f64`
13 062×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	334	4293
1	1092	4212
2	3504	4060
0	8078	3982
0	25	118
1	160	118
2	1344	116
0	8616	116
0	8	24
1	52	24
2	391	24
3	5091	24
0	8388	24
0	237	1287
1	736	1230
2	2399	1136
3	6930	1136
0	8144	1088
0	376	3134
1	1200	3032
2	3761	2871
0	8375	2821
0	19	78
1	120	76
2	868	76
0	8586	76
0	23	122
1	168	110
2	1651	110
0	8271	110

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 654 to 358 computations (45.3% saved)

preprocess123.0ms (1.2%)

Memory: -19.4MiB live, 191.0MiB allocated
Remove: (negabs v)
Compiler: Compiled 492 to 200 computations (59.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze71.0ms (0.7%)

sample754.0ms (7.2%)

preprocess255.0ms (2.4%)

explain98.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify182.0ms (1.7%)

localize47.0ms (0.4%)

series16.0ms (0.2%)

rewrite418.0ms (4%)

simplify681.0ms (6.5%)

eval95.0ms (0.9%)

prune120.0ms (1.2%)

simplify330.0ms (3.2%)

localize81.0ms (0.8%)

series41.0ms (0.4%)

rewrite391.0ms (3.7%)

simplify473.0ms (4.5%)

eval391.0ms (3.7%)

prune348.0ms (3.3%)

simplify261.0ms (2.5%)

localize95.0ms (0.9%)

series63.0ms (0.6%)

rewrite355.0ms (3.4%)

simplify612.0ms (5.9%)

eval263.0ms (2.5%)

prune398.0ms (3.8%)

simplify308.0ms (3%)

localize79.0ms (0.8%)

series9.0ms (0.1%)

rewrite521.0ms (5%)

simplify621.0ms (5.9%)

eval268.0ms (2.6%)

prune213.0ms (2%)

regimes68.0ms (0.6%)

regimes42.0ms (0.4%)

regimes27.0ms (0.3%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes28.0ms (0.3%)

regimes22.0ms (0.2%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch25.0ms (0.2%)

bsearch27.0ms (0.3%)

bsearch25.0ms (0.2%)

bsearch24.0ms (0.2%)

simplify17.0ms (0.2%)

soundness1.1s (10.7%)

preprocess123.0ms (1.2%)

end0.0ms (0%)

Profiling