Metrics for Henrywood and Agarwal, Equation (9a)

analyze649.0ms (6.1%)

Memory

-10.0MiB live, 672.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.7%	0.3%	0%	0%	0%	0
0%	0%	99.7%	0.3%	0%	0%	0%	1
0%	0%	99.7%	0.3%	0%	0%	0%	2
0%	0%	99.7%	0.3%	0%	0%	0%	3
0%	0%	99.7%	0.3%	0%	0%	0%	4
0%	0%	99.7%	0.3%	0%	0%	0%	5
0%	0%	99.7%	0.3%	0%	0%	0%	6
12.5%	12.5%	87.2%	0.3%	0%	0%	0%	7
12.5%	12.5%	87.2%	0.3%	0%	0%	0%	8
12.5%	12.5%	87.2%	0.3%	0%	0%	0%	9
12.5%	12.5%	87.2%	0.3%	0%	0%	0%	10
12.5%	12.5%	87.2%	0.3%	0%	0%	0%	11
18.8%	18.7%	81%	0.3%	0%	0%	0%	12

Compiler

Compiled 20 to 19 computations (5% saved)

sample2.8s (26.5%)

Memory

8.6MiB live, 2 022.1MiB allocated

Samples

1.4s	8 256×	0	valid
479.0ms	2 728×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-mult: 477.0ms (37.8% of total)

ival-sub: 243.0ms (19.3% of total)

ival-div: 214.0ms (17% of total)

ival-pow2: 187.0ms (14.8% of total)

ival-sqrt: 115.0ms (9.1% of total)

exact: 11.0ms (0.9% of total)

ival-true: 9.0ms (0.7% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

preprocess240.0ms (2.2%)

Memory

-19.0MiB live, 439.4MiB allocated

Algorithm

1×	egg-herbie

Rules

5 232×	`lower-*.f32`
5 224×	`lower-*.f64`
5 184×	`lower-/.f32`
5 180×	`lower-/.f64`
1 444×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	501
1	520	492
2	1570	492
3	4468	492
0	17	18
0	26	18
1	47	18
2	115	18
3	826	18
4	4554	18
5	7862	18
0	8022	18

Stop Event

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

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))

Outputs

(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))

(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64))))

Symmetry

(abs d)

(abs D)

(abs M)

(negabs w0)

(sort M D)

explain195.0ms (1.8%)

Memory

16.4MiB live, 577.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
44	-	1	(8.724867945081352e-190 4.792051301100167e-85 1.8259202199636756e+22 -7.411413151849953e-276 9.020027870589734e+42 2.540992287828136e-104)	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
24	-	0	-	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
20	-	1	(1.6197593644195316e+185 6.399729780426737e-176 3.0237508543797232e-148 -6.168632157328553e+139 -1.267047214551392e-156 5.04840341863394e-144)	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
4	-	0	-	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
0	-	0	-	`D`
0	-	0	-	`(*.f64 #s(literal 2 binary64) d)`
0	-	0	-	`(/.f64 h l)`
0	-	0	-	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
0	-	0	-	`d`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(*.f64 M D)`
0	-	0	-	`w0`
0	-	0	-	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`l`
0	-	0	-	`M`
0	-	0	-	`h`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`	oflow-rescue	24	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	51
↳	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`	overflow	50
↳	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`	overflow	26
↳	`(*.f64 M D)`	overflow	21
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	29
↳	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	overflow	50
↳	`(/.f64 h l)`	overflow	29
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	7	0
↳	`(*.f64 M D)`	overflow	21
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*no**	5	0
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*ou**	4	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	51
↳	`(*.f64 M D)`	overflow	21
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	29
↳	`(/.f64 h l)`	underflow	38
`*.f64`	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`	*no**	4	0
`*.f64`	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`	*uo**	2	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	111
↳	`(*.f64 M D)`	underflow	39
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	57
↳	`(/.f64 h l)`	overflow	29
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	u/n	1	0
↳	`(*.f64 M D)`	underflow	39

Confusion

	Predicted +	Predicted -
+	33	14
-	12	197

Precision

0.7333333333333333

Recall

0.7021276595744681

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	33	0	14
-	12	0	197

Precision?

0.7333333333333333

Recall?

0.7021276595744681

Freqs

test

number	freq
0	211
1	43
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

58.0ms

512×

valid

Compiler

Compiled 242 to 72 computations (70.2% saved)

Precisions

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

ival-mult: 12.0ms (36.4% of total)

ival-div: 9.0ms (27.3% of total)

ival-pow2: 5.0ms (15.1% of total)

ival-sqrt: 4.0ms (12.1% of total)

ival-sub: 2.0ms (6.1% of total)

exact: 1.0ms (3% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 6 to 6 computations (0% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))

Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify183.0ms (1.7%)

Memory

11.0MiB live, 449.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
✓	cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
✓	cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
✓	cost-diff	5504	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))

Rules

5 232×	`lower-*.f32`
5 224×	`lower-*.f64`
5 184×	`lower-/.f32`
5 180×	`lower-/.f64`
1 444×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	95
0	26	95
1	47	95
2	115	95
3	826	95
4	4554	95
5	7862	95
0	8022	95

Stop Event

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

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
#s(literal 1 binary64)
(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
#s(literal 2 binary64)
d
(/.f64 h l)
h
l

Outputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 d d) #s(literal 4 binary64))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (*.f64 d d) #s(literal 4 binary64))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
(fma.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (*.f64 d d) #s(literal 4 binary64))) (neg.f64 (/.f64 h l)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
(/.f64 (.f64 (/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (.f64 d d) #s(literal 4 binary64))) h) l)
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 M D) (.f64 M D)) (.f64 (*.f64 d d) #s(literal 4 binary64)))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
#s(literal 2 binary64)
d
(/.f64 h l)
h
l

localize46.0ms (0.4%)

Memory

-1.8MiB live, 116.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.5%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
✓	accuracy	92.8%	(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
✓	accuracy	91.2%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
✓	accuracy	83.6%	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))

Samples

28.0ms

256×

valid

Compiler

Compiled 97 to 19 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 6.0ms (38.6% of total)

ival-div: 4.0ms (25.7% of total)

ival-sqrt: 2.0ms (12.9% of total)

ival-pow2: 2.0ms (12.9% of total)

ival-sub: 1.0ms (6.4% of total)

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

exact: 0.0ms (0% of total)

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

series57.0ms (0.5%)

Memory

-25.7MiB live, 132.1MiB allocated

Counts

4 → 228

Calls

Call 1

Inputs
#<alt (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))>
#<alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))>
#<alt (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))>
#<alt (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))>

Outputs
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))>
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#<alt w0>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))>
#<alt (+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))>
#<alt w0>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))>
#<alt (+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))>
#<alt (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))>
#<alt (* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))>
#<alt (* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))>
#<alt (* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))>
#<alt (* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))>
#<alt (* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))>
#<alt (* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))>
#<alt (* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))>
#<alt (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))>
#<alt (/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)>
#<alt (/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)>
#<alt (/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)>
#<alt w0>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))>
#<alt (+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))>
#<alt w0>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))>
#<alt (+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))>

Calls

57 calls:

Time	Variable		Point	Expression
5.0ms	M	@	0	(* (pow (/ (* M D) (* 2 d)) 2) (/ h l))
3.0ms	M	@	inf	(/ (* M D) (* 2 d))
3.0ms	l	@	0	(* (pow (/ (* M D) (* 2 d)) 2) (/ h l))
2.0ms	D	@	0	(* (pow (/ (* M D) (* 2 d)) 2) (/ h l))
2.0ms	w0	@	0	(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))

rewrite279.0ms (2.6%)

Memory

18.6MiB live, 536.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 804×	`lower-*.f32`
5 796×	`lower-*.f64`
4 036×	`lower-fma.f64`
4 036×	`lower-fma.f32`
3 008×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	54
0	26	54
1	82	54
2	550	54
3	7071	54
0	8659	54

Stop Event

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

Counts

4 → 295

Calls

Call 1

Inputs
(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))

Outputs
(neg.f64 (neg.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (.f64 d d) #s(literal 4 binary64))))))
(/.f64 (.f64 M D) (.f64 (/.f64 l h) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (*.f64 M D))))
(/.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) (.f64 (/.f64 l h) (/.f64 d (.f64 D (*.f64 M #s(literal 1/2 binary64))))))
(/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (*.f64 d d) #s(literal 4 binary64))) (/.f64 l h))
(/.f64 (/.f64 h l) (/.f64 (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)) (.f64 M D)))
(/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 (.f64 h (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (.f64 d d))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l (/.f64 (.f64 h (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (.f64 d d))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 l h) (/.f64 (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)) (*.f64 M D))))
(/.f64 (neg.f64 (.f64 M D)) (.f64 (/.f64 l h) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (neg.f64 (*.f64 M D)))))
(/.f64 (/.f64 (.f64 (.f64 M D) (neg.f64 (.f64 M D))) (.f64 (*.f64 d d) #s(literal 4 binary64))) (/.f64 (neg.f64 l) h))
(/.f64 (/.f64 (.f64 h (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (.f64 d d)) l)
(/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) (.f64 (/.f64 l h) (.f64 d (/.f64 d (.f64 D (.f64 M #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (/.f64 (.f64 h (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (.f64 d d)))))
(/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (.f64 d d) #s(literal 4 binary64))))
(/.f64 (.f64 M (.f64 D (.f64 D (.f64 M #s(literal 1/2 binary64))))) (.f64 (/.f64 l h) (.f64 d (*.f64 #s(literal 2 binary64) d))))
(/.f64 (.f64 (.f64 M D) (neg.f64 (.f64 M D))) (.f64 (/.f64 l h) (neg.f64 (.f64 (.f64 d d) #s(literal 4 binary64)))))
(/.f64 (.f64 (neg.f64 D) (.f64 M (.f64 D (.f64 M #s(literal 1/2 binary64))))) (.f64 (/.f64 l h) (.f64 d (*.f64 d #s(literal -2 binary64)))))
(/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (.f64 (/.f64 l h) (.f64 d d)))
(/.f64 (neg.f64 (/.f64 (.f64 h (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (.f64 d d))) (neg.f64 l))
(/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 #s(literal 2 binary64) d)) (.f64 (/.f64 l h) (.f64 #s(literal 2 binary64) d)))
(/.f64 (/.f64 (.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) h) l) (/.f64 d (.f64 D (*.f64 M #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (*.f64 d d) #s(literal 4 binary64))) l) (/.f64 #s(literal 1 binary64) h))
(/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d #s(literal -2 binary64))) (.f64 (/.f64 l h) (.f64 d #s(literal -2 binary64))))
(/.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) d) (*.f64 (/.f64 l h) d))
(/.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) h) l)) (/.f64 (.f64 d #s(literal -2 binary64)) (.f64 M D)))
(/.f64 (.f64 (neg.f64 (/.f64 (.f64 h (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (*.f64 d d))) #s(literal 1 binary64)) (neg.f64 l))
(/.f64 (.f64 (/.f64 h l) (.f64 M D)) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (*.f64 M D)))
(/.f64 (.f64 (/.f64 h l) (.f64 M (.f64 D (.f64 M D)))) (.f64 (.f64 d d) #s(literal 4 binary64)))
(/.f64 (.f64 (/.f64 h l) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 #s(literal 2 binary64) d))) (.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 (/.f64 (.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) h) l) (.f64 M D)) (.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 (/.f64 (.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) h) l) #s(literal 1 binary64)) (/.f64 d (.f64 D (.f64 M #s(literal 1/2 binary64)))))
(/.f64 (.f64 (/.f64 (.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) h) l) (neg.f64 (.f64 M D))) (.f64 d #s(literal -2 binary64)))
(/.f64 (.f64 (/.f64 (.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) h) l) (.f64 D (.f64 M #s(literal 1/2 binary64)))) d)
(/.f64 (.f64 (/.f64 h l) (neg.f64 (.f64 M D))) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (neg.f64 (*.f64 M D))))
(/.f64 (.f64 (/.f64 h l) (.f64 D (.f64 M #s(literal 1/2 binary64)))) (.f64 d (/.f64 d (.f64 D (.f64 M #s(literal 1/2 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (.f64 h (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (*.f64 d d)))) (neg.f64 l))
(/.f64 (.f64 (.f64 M D) (/.f64 h l)) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (*.f64 M D)))
(/.f64 (.f64 (/.f64 h l) (.f64 (.f64 M D) (neg.f64 (.f64 M D)))) (neg.f64 (.f64 (.f64 d d) #s(literal 4 binary64))))
(/.f64 (.f64 (/.f64 h l) (.f64 M (.f64 D (.f64 D (.f64 M #s(literal 1/2 binary64)))))) (.f64 d (*.f64 #s(literal 2 binary64) d)))
(/.f64 (.f64 (/.f64 h l) (.f64 (neg.f64 D) (.f64 M (.f64 D (.f64 M #s(literal 1/2 binary64)))))) (.f64 d (*.f64 d #s(literal -2 binary64))))
(/.f64 (.f64 (/.f64 h l) (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (.f64 d d))
(/.f64 (.f64 (/.f64 h l) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d #s(literal -2 binary64)))) (.f64 d #s(literal -2 binary64)))
(/.f64 (.f64 (/.f64 h l) (/.f64 (.f64 (.f64 D D) (.f64 (*.f64 M M) #s(literal 1/4 binary64))) d)) d)
(/.f64 (.f64 (/.f64 (.f64 h (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (*.f64 d d)) #s(literal -1 binary64)) (neg.f64 l))
(/.f64 (.f64 (/.f64 (.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) h) l) #s(literal -1 binary64)) (/.f64 (.f64 d #s(literal -2 binary64)) (.f64 M D)))
(/.f64 (.f64 (/.f64 (.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) h) l) (.f64 (.f64 M D) #s(literal -1/2 binary64))) (neg.f64 d))
(/.f64 (.f64 (/.f64 (.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) h) l) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))
(/.f64 (.f64 (neg.f64 (.f64 M D)) (/.f64 h l)) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (neg.f64 (*.f64 M D))))
(/.f64 (.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) (/.f64 h l)) (.f64 d (/.f64 d (.f64 D (.f64 M #s(literal 1/2 binary64))))))
(/.f64 (.f64 (.f64 M D) (/.f64 (.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) h) l)) (.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 (neg.f64 (.f64 M D)) (/.f64 (.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) h) l)) (.f64 d #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) (/.f64 (.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) h) l)) d)
(/.f64 (.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (/.f64 (.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) h) l)) (neg.f64 d))
(/.f64 (.f64 (/.f64 (.f64 M D) d) (/.f64 (.f64 (/.f64 (.f64 D (*.f64 M #s(literal 1/2 binary64))) d) h) l)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 M (.f64 D (.f64 M D))) (/.f64 h l)) (.f64 (.f64 d d) #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 (.f64 M D) (neg.f64 (.f64 M D))) (/.f64 h l)) (neg.f64 (.f64 (.f64 d d) #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 M (.f64 D (.f64 D (.f64 M #s(literal 1/2 binary64))))) (/.f64 h l)) (.f64 d (*.f64 #s(literal 2 binary64) d)))
(/.f64 (.f64 (.f64 (neg.f64 D) (.f64 M (.f64 D (.f64 M #s(literal 1/2 binary64))))) (/.f64 h l)) (.f64 d (*.f64 d #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) (/.f64 h l)) (.f64 d d))
(/.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 #s(literal 2 binary64) d)) (/.f64 h l)) (.f64 #s(literal 2 binary64) d))
(/.f64 (.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d #s(literal -2 binary64))) (/.f64 h l)) (.f64 d #s(literal -2 binary64)))
(/.f64 (.f64 (/.f64 (.f64 (.f64 D D) (.f64 (*.f64 M M) #s(literal 1/4 binary64))) d) (/.f64 h l)) d)
(/.f64 (/.f64 (neg.f64 (/.f64 (.f64 h (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (.f64 d d))) #s(literal -1 binary64)) l)
(pow.f64 (/.f64 l (/.f64 (.f64 h (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (.f64 d d))) #s(literal -1 binary64))
(.f64 M (.f64 (/.f64 D (.f64 #s(literal 2 binary64) d)) (/.f64 (.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) h) l)))
(.f64 M (.f64 (/.f64 (.f64 D (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d)) (.f64 #s(literal 2 binary64) d)) (/.f64 h l)))
(.f64 M (/.f64 (/.f64 (.f64 D (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d)) (*.f64 #s(literal 2 binary64) d)) (/.f64 l h)))
(.f64 D (.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) (/.f64 (.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) h) l)))
(.f64 (.f64 M D) (.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) h) l)))
(.f64 (.f64 M D) (.f64 (/.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) (.f64 #s(literal 2 binary64) d)) (/.f64 h l)))
(.f64 (.f64 M D) (/.f64 (/.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) (*.f64 #s(literal 2 binary64) d)) (/.f64 l h)))
(.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) (/.f64 (.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) h) l))
(.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) (.f64 (/.f64 (.f64 (/.f64 (.f64 D (*.f64 M #s(literal 1/2 binary64))) d) h) l) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 h l))
(.f64 h (/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) l))
(.f64 h (.f64 (/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (*.f64 d d) #s(literal 4 binary64))) l) #s(literal 1 binary64)))
(.f64 (/.f64 h l) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (*.f64 d d) #s(literal 4 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (*.f64 d d) #s(literal 4 binary64)))))
(.f64 (neg.f64 h) (.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (*.f64 d d) #s(literal 4 binary64)))))
(.f64 (neg.f64 h) (/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (neg.f64 l)))
(.f64 (neg.f64 (.f64 M D)) (.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) h) l)))
(.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 (/.f64 D d) (/.f64 (.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) h) l)))
(.f64 (.f64 M #s(literal 1/2 binary64)) (.f64 (/.f64 (.f64 D (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d)) d) (/.f64 h l)))
(.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 (/.f64 (.f64 D (/.f64 (.f64 D (*.f64 M #s(literal 1/2 binary64))) d)) d) (/.f64 l h)))
(.f64 (/.f64 D d) (.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 (.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) h) l)))
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(/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) (neg.f64 (neg.f64 d)))
(/.f64 #s(literal -1 binary64) (/.f64 (.f64 d #s(literal -2 binary64)) (.f64 M D)))
(/.f64 (.f64 (.f64 M D) #s(literal -1/2 binary64)) (neg.f64 d))
(/.f64 (/.f64 M d) (/.f64 #s(literal 2 binary64) D))
(/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M))
(/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal 2 binary64) (*.f64 M D)))
(/.f64 (/.f64 (*.f64 M D) d) #s(literal 2 binary64))
(/.f64 (exp.f64 (log.f64 (.f64 M D))) (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) d))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (.f64 M D)))) (exp.f64 (log.f64 (.f64 d #s(literal -2 binary64)))))
(/.f64 (exp.f64 (log.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))))) (exp.f64 (log.f64 d)))
(/.f64 (neg.f64 (/.f64 (*.f64 M D) d)) #s(literal -2 binary64))
(/.f64 (/.f64 (neg.f64 (*.f64 M D)) d) #s(literal -2 binary64))
(/.f64 (/.f64 (neg.f64 (.f64 M D)) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) d))
(/.f64 (*.f64 (/.f64 D d) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) M))
(/.f64 (.f64 #s(literal 1 binary64) M) (/.f64 (.f64 #s(literal 2 binary64) d) D))
(/.f64 (.f64 M #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 2 binary64) d) D))
(/.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 d D))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (.f64 M D)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (*.f64 M D) #s(literal -1/2 binary64))) (neg.f64 d))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 M D) d)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 M #s(literal 1/2 binary64)) (neg.f64 D)) (neg.f64 d))
(/.f64 (*.f64 (/.f64 D d) (neg.f64 M)) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (*.f64 M D) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 d))
(/.f64 (.f64 (/.f64 (.f64 M D) d) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 M) (/.f64 D d)) #s(literal -2 binary64))
(/.f64 (.f64 (neg.f64 (.f64 M D)) (/.f64 #s(literal 1 binary64) d)) #s(literal -2 binary64))
(pow.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) #s(literal 1 binary64))
(pow.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (*.f64 d d) #s(literal 4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 d (.f64 D (.f64 M #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d)) #s(literal 2 binary64))
(.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))
(.f64 M (.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)))
(.f64 M (.f64 #s(literal 1/2 binary64) (/.f64 D d)))
(.f64 D (/.f64 M (.f64 #s(literal 2 binary64) d)))
(.f64 D (.f64 (/.f64 M (*.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)))
(.f64 D (.f64 (neg.f64 M) (/.f64 #s(literal -1/2 binary64) d)))
(.f64 D (.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 M #s(literal 1/2 binary64))))
(.f64 D (.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) d)))
(.f64 (.f64 M D) (/.f64 #s(literal 1/2 binary64) d))
(.f64 (/.f64 (.f64 D (*.f64 M #s(literal 1/2 binary64))) d) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 D (*.f64 M #s(literal 1/2 binary64))) d))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 M D) d))
(.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 d (.f64 M D)) #s(literal -1 binary64)))
(.f64 (neg.f64 (.f64 M D)) (/.f64 #s(literal -1/2 binary64) d))
(.f64 (neg.f64 (.f64 M D)) (*.f64 (/.f64 #s(literal -1/2 binary64) d) #s(literal 1 binary64)))
(.f64 (.f64 M #s(literal 1/2 binary64)) (/.f64 D d))
(.f64 (.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) #s(literal 1 binary64)))
(.f64 (/.f64 D d) (.f64 M #s(literal 1/2 binary64)))
(.f64 (/.f64 D d) (.f64 (*.f64 M #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) d) (.f64 M D))
(.f64 (/.f64 #s(literal 1/2 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 M D)) #s(literal -1 binary64)))
(.f64 (.f64 D (*.f64 M #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) d))
(.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) d) #s(literal 1 binary64)))
(.f64 (/.f64 D (.f64 #s(literal 2 binary64) d)) M)
(.f64 (/.f64 D (.f64 #s(literal 2 binary64) d)) (*.f64 M #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 M D) (*.f64 d #s(literal -2 binary64))))
(.f64 (neg.f64 D) (.f64 M (/.f64 #s(literal -1/2 binary64) d)))
(.f64 (neg.f64 D) (/.f64 M (.f64 d #s(literal -2 binary64))))
(.f64 (neg.f64 M) (/.f64 D (.f64 d #s(literal -2 binary64))))
(.f64 (neg.f64 M) (.f64 D (/.f64 #s(literal -1/2 binary64) d)))
(.f64 (.f64 (*.f64 M D) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 d)))
(.f64 (/.f64 M d) (.f64 D #s(literal 1/2 binary64)))
(.f64 (/.f64 M d) (.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 D #s(literal 1/2 binary64)) (/.f64 M d))
(.f64 (.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) d) (.f64 D (*.f64 M #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal -1/2 binary64) d) (neg.f64 (.f64 M D)))
(.f64 (sqrt.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d)) (sqrt.f64 (/.f64 (.f64 D (*.f64 M #s(literal 1/2 binary64))) d)))
(.f64 (sqrt.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d)) (.f64 (sqrt.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D)
(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 M D) (neg.f64 d)))
(.f64 (pow.f64 D #s(literal 1 binary64)) (pow.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)))
(.f64 (pow.f64 (neg.f64 (.f64 M D)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) d) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 D (*.f64 M #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) d) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 M d) #s(literal 1 binary64)) (pow.f64 (.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 M d) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (.f64 D (*.f64 M #s(literal 1/2 binary64))) d)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) D) #s(literal -1 binary64)) (pow.f64 (/.f64 d M) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 d M) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) D) #s(literal -1 binary64)))
(.f64 (exp.f64 (log.f64 M)) (exp.f64 (log.f64 (/.f64 D (.f64 #s(literal 2 binary64) d)))))
(.f64 (exp.f64 (log.f64 (.f64 M D))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) d)))))
(.f64 (exp.f64 (log.f64 (.f64 M #s(literal 1/2 binary64)))) (exp.f64 (log.f64 (/.f64 D d))))
(*.f64 (/.f64 D (neg.f64 d)) (/.f64 (neg.f64 M) #s(literal 2 binary64)))
(*.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 (neg.f64 M) d))
(.f64 (/.f64 M #s(literal -1 binary64)) (/.f64 (neg.f64 D) (.f64 #s(literal 2 binary64) d)))
(*.f64 (/.f64 M (neg.f64 d)) (/.f64 (neg.f64 D) #s(literal 2 binary64)))
(*.f64 (/.f64 M #s(literal -2 binary64)) (/.f64 (neg.f64 D) d))
(.f64 (/.f64 D #s(literal -1 binary64)) (/.f64 (neg.f64 M) (.f64 #s(literal 2 binary64) d)))
(*.f64 (/.f64 (neg.f64 D) d) (/.f64 M #s(literal -2 binary64)))
(*.f64 (/.f64 (neg.f64 D) #s(literal 2 binary64)) (/.f64 M (neg.f64 d)))
(*.f64 (/.f64 (neg.f64 M) d) (/.f64 D #s(literal -2 binary64)))
(*.f64 (/.f64 (neg.f64 M) #s(literal 2 binary64)) (/.f64 D (neg.f64 d)))
(.f64 (/.f64 #s(literal -1 binary64) d) (.f64 (*.f64 M D) #s(literal -1/2 binary64)))
(.f64 (/.f64 (neg.f64 D) #s(literal -1 binary64)) (/.f64 M (.f64 #s(literal 2 binary64) d)))
(.f64 (/.f64 (neg.f64 M) #s(literal -1 binary64)) (/.f64 D (.f64 #s(literal 2 binary64) d)))
(.f64 (.f64 #s(literal 1 binary64) M) (/.f64 D (*.f64 #s(literal 2 binary64) d)))
(.f64 (.f64 #s(literal 1 binary64) D) (/.f64 M (*.f64 #s(literal 2 binary64) d)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 M d)) (*.f64 D #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d))) (sqrt.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d)))
(/.f64 (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (.f64 d d) #s(literal 4 binary64)))) #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (.f64 d d) #s(literal 4 binary64)))) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 h (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (.f64 d d)) (/.f64 (.f64 h (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (.f64 d d))) (.f64 l l))))) (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (.f64 d d) #s(literal 4 binary64)))) #s(literal 3 binary64)))) w0) (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (.f64 d d) #s(literal 4 binary64)))) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 h (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (.f64 d d)) (/.f64 (.f64 h (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (.f64 d d))) (.f64 l l)))) w0) (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (*.f64 d d) #s(literal 4 binary64)))))) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (*.f64 d d) #s(literal 4 binary64)))))))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (.f64 d d) #s(literal 4 binary64))))) #s(literal 1/4 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (.f64 d d) #s(literal 4 binary64))))) #s(literal 1/4 binary64)) w0))
(.f64 (.f64 w0 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (.f64 d d) #s(literal 4 binary64))))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (.f64 d d) #s(literal 4 binary64))))) #s(literal 1/4 binary64)))

simplify371.0ms (3.5%)

Memory

-7.8MiB live, 746.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 288×	`lower-*.f64`
10 288×	`lower-*.f32`
8 846×	`lower-fma.f64`
8 846×	`lower-fma.f32`
2 654×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	602	6638
1	2109	6622
0	8204	6458

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 221

Calls

Call 1

Inputs
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* D M) d))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))

Outputs
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (.f64 M M) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 D D) h) (.f64 (.f64 d d) l)) (/.f64 (.f64 (.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (.f64 M (.f64 M (.f64 h h)))) (.f64 l (.f64 l (pow.f64 d #s(literal 4 binary64)))))) #s(literal 1 binary64))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (.f64 M M) (fma.f64 (.f64 M M) (fma.f64 #s(literal -1/128 binary64) (.f64 (pow.f64 D #s(literal 4 binary64)) (/.f64 (.f64 h h) (.f64 l (.f64 l (pow.f64 d #s(literal 4 binary64)))))) (/.f64 (.f64 (.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (.f64 M (.f64 M (.f64 h (.f64 h h))))) (.f64 (.f64 l l) (.f64 l (pow.f64 d #s(literal 6 binary64)))))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) h) (.f64 (.f64 d d) l))) #s(literal 1 binary64))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/.f64 (.f64 (.f64 D (*.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 h l))) d)
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(.f64 M (fma.f64 D (.f64 (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 l h)) (.f64 (/.f64 d (.f64 D (.f64 M (*.f64 M (sqrt.f64 #s(literal -1/4 binary64)))))) #s(literal 1/2 binary64)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(.f64 M (fma.f64 (/.f64 (.f64 d (.f64 d d)) (.f64 D (.f64 (.f64 D D) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 M #s(literal 4 binary64))))))) (.f64 (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (.f64 h (.f64 h h)))) #s(literal -1/8 binary64)) (fma.f64 D (.f64 (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 l h)) (.f64 (/.f64 d (.f64 D (.f64 M (*.f64 M (sqrt.f64 #s(literal -1/4 binary64)))))) #s(literal 1/2 binary64))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(.f64 M (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 d (.f64 d d)) (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (.f64 h (.f64 h h))))) (.f64 D (.f64 (.f64 D D) (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (.f64 #s(literal -1/4 binary64) (pow.f64 M #s(literal 4 binary64))))))) (fma.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (.f64 (pow.f64 D #s(literal 5 binary64)) (.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) #s(literal 1/16 binary64)) (fma.f64 D (.f64 (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 l h)) (.f64 (/.f64 d (.f64 D (.f64 M (.f64 M (sqrt.f64 #s(literal -1/4 binary64)))))) #s(literal 1/2 binary64)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(/.f64 (.f64 (.f64 D (*.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 h l))) (neg.f64 d))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(.f64 (fma.f64 D (.f64 (/.f64 (sqrt.f64 #s(literal -1/4 binary64)) d) (sqrt.f64 (/.f64 h l))) (.f64 (sqrt.f64 (/.f64 l h)) (.f64 (/.f64 d (.f64 D (.f64 M (*.f64 M (sqrt.f64 #s(literal -1/4 binary64)))))) #s(literal 1/2 binary64)))) (neg.f64 M))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
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w0
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) w0)) d)
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(/.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) w0)) (neg.f64 d))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) w0)) d)
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/.f64 (fma.f64 (.f64 d d) (.f64 (sqrt.f64 (/.f64 l h)) (.f64 (/.f64 w0 (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (*.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) w0))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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w0
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w0
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(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) w0)) d)
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(.f64 h (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 d w0) (sqrt.f64 (/.f64 l (.f64 h (.f64 h h))))) (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (/.f64 (.f64 (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) w0) d))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(.f64 h (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 d w0) (sqrt.f64 (/.f64 l (.f64 h (.f64 h h))))) (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (/.f64 (.f64 (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) w0) d) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 d (.f64 (.f64 d d) w0))) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (.f64 D (.f64 M (.f64 M M)))))) (sqrt.f64 (/.f64 (.f64 l (*.f64 l l)) (pow.f64 h #s(literal 5 binary64))))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(.f64 h (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (pow.f64 h #s(literal 5 binary64)))) (/.f64 (.f64 d (.f64 (.f64 d d) w0)) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (.f64 D (.f64 M (.f64 M M))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 d w0) (sqrt.f64 (/.f64 l (.f64 h (.f64 h h))))) (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (/.f64 (.f64 (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) w0) d) (.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 d #s(literal 5 binary64)) w0)) (.f64 (pow.f64 D #s(literal 5 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 7 binary64)))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
(.f64 (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (/.f64 (.f64 (*.f64 M (sqrt.f64 #s(literal -1 binary64))) w0) d)) #s(literal -1/2 binary64)))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (.f64 (.f64 M (sqrt.f64 #s(literal -1 binary64))) w0) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 l (.f64 h (.f64 h h)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 d w0)) (.f64 D M)))) (neg.f64 h))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(neg.f64 (.f64 h (-.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (.f64 (.f64 M (sqrt.f64 #s(literal -1 binary64))) w0) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 l (.f64 h (.f64 h h)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 d w0)) (.f64 D M)))) (/.f64 (.f64 (.f64 (.f64 d d) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 d w0))) (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (pow.f64 h #s(literal 5 binary64))))) (.f64 (.f64 D D) (.f64 D (.f64 M (.f64 M M))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) (pow.f64 h #s(literal 5 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 d d) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 d w0))) (.f64 (.f64 D D) (.f64 D (.f64 M (.f64 M M)))))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (pow.f64 d #s(literal 5 binary64)) w0)) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 7 binary64))))) (.f64 (pow.f64 D #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) D) (/.f64 (.f64 (.f64 M (sqrt.f64 #s(literal -1 binary64))) w0) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))) (.f64 (sqrt.f64 (/.f64 l (.f64 h (.f64 h h)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 d w0)) (*.f64 D M)))))) (neg.f64 h))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(/.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) w0)) d)
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 (.f64 l (.f64 l l)) h)) (.f64 (/.f64 (.f64 d w0) (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) w0) (sqrt.f64 (*.f64 h l))) d)) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/.f64 (fma.f64 (.f64 l l) (fma.f64 (/.f64 (.f64 d (.f64 (.f64 d d) w0)) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (.f64 D (.f64 M (.f64 M M)))))) (.f64 (sqrt.f64 (/.f64 l (.f64 h (.f64 h h)))) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 d w0)) (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))) (/.f64 (.f64 (.f64 (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) w0) (sqrt.f64 (*.f64 h l))) d)) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 h h) (.f64 h (.f64 l (.f64 l l)))))) (.f64 (/.f64 (.f64 d (.f64 (.f64 d d) w0)) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (.f64 (.f64 D D) (.f64 D (.f64 M (.f64 M M)))))) #s(literal -1/8 binary64)) (.f64 (/.f64 (.f64 (pow.f64 d #s(literal 5 binary64)) w0) (.f64 (pow.f64 D #s(literal 5 binary64)) (.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 5 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (pow.f64 h #s(literal 5 binary64))))) #s(literal 1/16 binary64)))) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 d w0)) (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 h l))))) (/.f64 (.f64 (.f64 (.f64 D (.f64 M (sqrt.f64 #s(literal -1/4 binary64)))) w0) (sqrt.f64 (*.f64 h l))) d)) l)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0)
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(fma.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (.f64 #s(literal -1/128 binary64) (pow.f64 M #s(literal 4 binary64))) (/.f64 (.f64 (.f64 h h) w0) (.f64 l (.f64 l (pow.f64 d #s(literal 4 binary64)))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (pow.f64 D #s(literal 4 binary64)) (.f64 (.f64 #s(literal -1/128 binary64) (pow.f64 M #s(literal 4 binary64))) (/.f64 (.f64 (.f64 h h) w0) (.f64 l (.f64 l (pow.f64 d #s(literal 4 binary64)))))) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (.f64 d d) l)) w0)) (/.f64 (.f64 (.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (.f64 (.f64 h (.f64 h h)) (.f64 (pow.f64 M #s(literal 6 binary64)) w0))) (.f64 (.f64 l l) (.f64 l (pow.f64 d #s(literal 6 binary64))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0)
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(-.f64 w0 (/.f64 (fma.f64 #s(literal 1/128 binary64) (/.f64 (.f64 (.f64 h (.f64 h (pow.f64 M #s(literal 4 binary64)))) (.f64 w0 (pow.f64 D #s(literal 4 binary64)))) (.f64 l (pow.f64 d #s(literal 4 binary64)))) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (/.f64 (.f64 h (.f64 M (.f64 M w0))) (.f64 d d)))) l))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(-.f64 w0 (/.f64 (fma.f64 (.f64 D D) (.f64 (/.f64 (.f64 h (.f64 M (.f64 M w0))) (.f64 d d)) #s(literal 1/8 binary64)) (/.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (.f64 (.f64 h (.f64 h (pow.f64 M #s(literal 4 binary64)))) (.f64 w0 (pow.f64 D #s(literal 4 binary64)))) (pow.f64 d #s(literal 4 binary64))) (/.f64 (.f64 (.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (.f64 (.f64 h (.f64 h h)) (.f64 (pow.f64 M #s(literal 6 binary64)) w0))) (*.f64 l (pow.f64 d #s(literal 6 binary64))))) (neg.f64 l))) l))

simplify49.0ms (0.5%)

Memory

29.7MiB live, 149.9MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	665	5369
1	666	5369
0	666	5369

Stop Event

1×	saturated
1×	saturated

Counts

295 → 0

Calls

Call 1

Inputs
(neg.f64 (neg.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (.f64 d d) #s(literal 4 binary64))))))
(/.f64 (.f64 M D) (.f64 (/.f64 l h) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (*.f64 M D))))
(/.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d) (.f64 (/.f64 l h) (/.f64 d (.f64 D (*.f64 M #s(literal 1/2 binary64))))))
(/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (*.f64 d d) #s(literal 4 binary64))) (/.f64 l h))
(/.f64 (/.f64 h l) (/.f64 (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)) (.f64 M D)))
(/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 (.f64 h (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (.f64 d d))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l (/.f64 (.f64 h (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (.f64 d d))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 l h) (/.f64 (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (.f64 M D)) (*.f64 M D))))
(/.f64 (neg.f64 (.f64 M D)) (.f64 (/.f64 l h) (/.f64 (.f64 (.f64 d d) #s(literal 4 binary64)) (neg.f64 (*.f64 M D)))))
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(/.f64 (/.f64 (.f64 h (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (.f64 d d)) l)
(/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) (.f64 (/.f64 l h) (.f64 d (/.f64 d (.f64 D (.f64 M #s(literal 1/2 binary64)))))))
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(/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (.f64 d d) #s(literal 4 binary64))))
(/.f64 (.f64 M (.f64 D (.f64 D (.f64 M #s(literal 1/2 binary64))))) (.f64 (/.f64 l h) (.f64 d (*.f64 #s(literal 2 binary64) d))))
(/.f64 (.f64 (.f64 M D) (neg.f64 (.f64 M D))) (.f64 (/.f64 l h) (neg.f64 (.f64 (.f64 d d) #s(literal 4 binary64)))))
(/.f64 (.f64 (neg.f64 D) (.f64 M (.f64 D (.f64 M #s(literal 1/2 binary64))))) (.f64 (/.f64 l h) (.f64 d (*.f64 d #s(literal -2 binary64)))))
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(/.f64 (neg.f64 (/.f64 (.f64 h (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (.f64 d d))) (neg.f64 l))
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(/.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 d #s(literal -2 binary64))) (.f64 (/.f64 l h) (.f64 d #s(literal -2 binary64))))
(/.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64))) d) (*.f64 (/.f64 l h) d))
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(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D)
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Outputs
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(.f64 (sqrt.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d)) (sqrt.f64 (/.f64 (.f64 D (*.f64 M #s(literal 1/2 binary64))) d)))
(.f64 (sqrt.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d)) (.f64 (sqrt.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 M D) d) #s(literal 1/2 binary64))
(.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) D)
(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 M D) (neg.f64 d)))
(.f64 (pow.f64 D #s(literal 1 binary64)) (pow.f64 (/.f64 M (.f64 #s(literal 2 binary64) d)) #s(literal 1 binary64)))
(.f64 (pow.f64 (neg.f64 (.f64 M D)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) d) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 D (*.f64 M #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) d) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 M d) #s(literal 1 binary64)) (pow.f64 (.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 M d) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (.f64 D (*.f64 M #s(literal 1/2 binary64))) d)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) D) #s(literal -1 binary64)) (pow.f64 (/.f64 d M) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 d M) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) D) #s(literal -1 binary64)))
(.f64 (exp.f64 (log.f64 M)) (exp.f64 (log.f64 (/.f64 D (.f64 #s(literal 2 binary64) d)))))
(.f64 (exp.f64 (log.f64 (.f64 M D))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) d)))))
(.f64 (exp.f64 (log.f64 (.f64 M #s(literal 1/2 binary64)))) (exp.f64 (log.f64 (/.f64 D d))))
(*.f64 (/.f64 D (neg.f64 d)) (/.f64 (neg.f64 M) #s(literal 2 binary64)))
(*.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 (neg.f64 M) d))
(.f64 (/.f64 M #s(literal -1 binary64)) (/.f64 (neg.f64 D) (.f64 #s(literal 2 binary64) d)))
(*.f64 (/.f64 M (neg.f64 d)) (/.f64 (neg.f64 D) #s(literal 2 binary64)))
(*.f64 (/.f64 M #s(literal -2 binary64)) (/.f64 (neg.f64 D) d))
(.f64 (/.f64 D #s(literal -1 binary64)) (/.f64 (neg.f64 M) (.f64 #s(literal 2 binary64) d)))
(*.f64 (/.f64 (neg.f64 D) d) (/.f64 M #s(literal -2 binary64)))
(*.f64 (/.f64 (neg.f64 D) #s(literal 2 binary64)) (/.f64 M (neg.f64 d)))
(*.f64 (/.f64 (neg.f64 M) d) (/.f64 D #s(literal -2 binary64)))
(*.f64 (/.f64 (neg.f64 M) #s(literal 2 binary64)) (/.f64 D (neg.f64 d)))
(.f64 (/.f64 #s(literal -1 binary64) d) (.f64 (*.f64 M D) #s(literal -1/2 binary64)))
(.f64 (/.f64 (neg.f64 D) #s(literal -1 binary64)) (/.f64 M (.f64 #s(literal 2 binary64) d)))
(.f64 (/.f64 (neg.f64 M) #s(literal -1 binary64)) (/.f64 D (.f64 #s(literal 2 binary64) d)))
(.f64 (.f64 #s(literal 1 binary64) M) (/.f64 D (*.f64 #s(literal 2 binary64) d)))
(.f64 (.f64 #s(literal 1 binary64) D) (/.f64 M (*.f64 #s(literal 2 binary64) d)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 M d)) (*.f64 D #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d))) (sqrt.f64 (/.f64 (.f64 D (.f64 M #s(literal 1/2 binary64))) d)))
(/.f64 (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (.f64 d d) #s(literal 4 binary64)))) #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (.f64 d d) #s(literal 4 binary64)))) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 h (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (.f64 d d)) (/.f64 (.f64 h (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (.f64 d d))) (.f64 l l))))) (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (.f64 d d) #s(literal 4 binary64)))) #s(literal 3 binary64)))) w0) (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (.f64 d d) #s(literal 4 binary64)))) (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 h (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (.f64 d d)) (/.f64 (.f64 h (.f64 (.f64 D D) (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (.f64 d d))) (.f64 l l)))) w0) (sqrt.f64 (fma.f64 (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (.f64 d d) #s(literal 4 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (*.f64 d d) #s(literal 4 binary64)))))) w0)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (*.f64 d d) #s(literal 4 binary64)))))))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (.f64 d d) #s(literal 4 binary64))))) #s(literal 1/4 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (.f64 d d) #s(literal 4 binary64))))) #s(literal 1/4 binary64)) w0))
(.f64 (.f64 w0 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (.f64 d d) #s(literal 4 binary64))))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 M (.f64 D (.f64 M D))) (.f64 (/.f64 l h) (.f64 (.f64 d d) #s(literal 4 binary64))))) #s(literal 1/4 binary64)))

eval44.0ms (0.4%)

Memory: -9.0MiB live, 148.1MiB allocated
Compiler: Compiled 15 212 to 578 computations (96.2% saved)

prune20.0ms (0.2%)

Memory

-37.0MiB live, 53.7MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	438	4	442
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	438	5	443

Accuracy

90.1%

Counts

443 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.7%	(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0)
▶	57.7%	(.f64 w0 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
▶	70.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (.f64 d d) l)))))
✓	82.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
▶	69.2%	(*.f64 w0 #s(literal 1 binary64))

Compiler

Compiled 113 to 77 computations (31.9% saved)

simplify237.0ms (2.2%)

Memory

9.2MiB live, 481.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0))))
✓	cost-diff	0	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (.f64 d d) l))
✓	cost-diff	0	(*.f64 D D)
✓	cost-diff	0	(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0)
✓	cost-diff	0	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l))
✓	cost-diff	0	(*.f64 D D)
✓	cost-diff	0	(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 w0 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
✓	cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))))
✓	cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (.f64 d d) l)))))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l)))
✓	cost-diff	320	(*.f64 w0 #s(literal 1 binary64))

Rules

8 856×	`lower-*.f32`
8 822×	`lower-*.f64`
3 058×	`lower-/.f32`
3 052×	`lower-/.f64`
2 782×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	296
0	59	294
1	132	294
2	578	294
3	3911	294
4	6081	294
5	7586	294
0	8314	291

Stop Event

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

Calls

Call 1

Inputs
(*.f64 w0 #s(literal 1 binary64))
w0
#s(literal 1 binary64)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (.f64 d d) l)))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l)))
#s(literal 1 binary64)
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (*.f64 M M)))))
#s(literal 1/4 binary64)
(.f64 h (.f64 D (.f64 D (.f64 M M))))
h
(.f64 D (.f64 D (*.f64 M M)))
D
(.f64 D (.f64 M M))
(*.f64 M M)
M
(.f64 (.f64 d d) l)
(*.f64 d d)
d
l
(.f64 w0 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
w0
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(*.f64 D D)
D
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l))
(.f64 #s(literal -1/8 binary64) (.f64 (*.f64 M M) h))
#s(literal -1/8 binary64)
(.f64 (.f64 M M) h)
(*.f64 M M)
M
h
(.f64 (.f64 d d) l)
(*.f64 d d)
d
l
#s(literal 1 binary64)
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0)
(*.f64 D D)
D
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (.f64 d d) l))
(.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0))))
#s(literal -1/8 binary64)
(.f64 h (.f64 M (*.f64 M w0)))
h
(.f64 M (.f64 M w0))
M
(*.f64 M w0)
w0
(.f64 (.f64 d d) l)
(*.f64 d d)
d
l

Outputs
(*.f64 w0 #s(literal 1 binary64))
w0
w0
#s(literal 1 binary64)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (.f64 d d) l)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 d (*.f64 d l))) #s(literal 1 binary64))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))))
(sqrt.f64 (fma.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 d (.f64 d l))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l)))
(fma.f64 (.f64 D (.f64 D (.f64 M M))) (/.f64 (.f64 h #s(literal -1/4 binary64)) (.f64 d (.f64 d l))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(/.f64 (.f64 D (.f64 h (.f64 #s(literal 1/4 binary64) (.f64 D (.f64 M M))))) (.f64 d (*.f64 d l)))
(.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (*.f64 M M)))))
(.f64 D (.f64 h (.f64 #s(literal 1/4 binary64) (.f64 D (*.f64 M M)))))
#s(literal 1/4 binary64)
(.f64 h (.f64 D (.f64 D (.f64 M M))))
(.f64 M (.f64 h (.f64 D (.f64 D M))))
h
(.f64 D (.f64 D (*.f64 M M)))
D
(.f64 D (.f64 M M))
(*.f64 M M)
M
(.f64 (.f64 d d) l)
(.f64 d (.f64 d l))
(*.f64 d d)
d
l
(.f64 w0 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(fma.f64 (.f64 D D) (/.f64 (.f64 w0 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64)))) (.f64 d (*.f64 d l))) w0)
w0
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(fma.f64 (.f64 D D) (/.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(*.f64 D D)
D
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l))
(/.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) (.f64 d (*.f64 d l)))
(.f64 #s(literal -1/8 binary64) (.f64 (*.f64 M M) h))
(.f64 h (.f64 (*.f64 M M) #s(literal -1/8 binary64)))
#s(literal -1/8 binary64)
(.f64 (.f64 M M) h)
(.f64 h (.f64 M M))
(*.f64 M M)
M
h
(.f64 (.f64 d d) l)
(.f64 d (.f64 d l))
(*.f64 d d)
d
l
#s(literal 1 binary64)
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0)
(fma.f64 (.f64 D D) (/.f64 (.f64 w0 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64)))) (.f64 d (*.f64 d l))) w0)
(*.f64 D D)
D
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (.f64 d d) l))
(/.f64 (.f64 w0 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64)))) (.f64 d (.f64 d l)))
(.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0))))
(.f64 w0 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))))
#s(literal -1/8 binary64)
(.f64 h (.f64 M (*.f64 M w0)))
(.f64 w0 (.f64 h (*.f64 M M)))
h
(.f64 M (.f64 M w0))
(.f64 w0 (.f64 M M))
M
(*.f64 M w0)
(*.f64 w0 M)
w0
(.f64 (.f64 d d) l)
(.f64 d (.f64 d l))
(*.f64 d d)
d
l

localize114.0ms (1.1%)

Memory

20.6MiB live, 182.3MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	91.7%	(.f64 h (.f64 M (*.f64 M w0)))
✓	accuracy	88.2%	(.f64 (.f64 d d) l)
✓	accuracy	84.8%	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (.f64 d d) l))
✓	accuracy	81.5%	(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0)
✓	accuracy	88.2%	(.f64 (.f64 d d) l)
✓	accuracy	87.9%	(.f64 (.f64 M M) h)
✓	accuracy	83.1%	(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
✓	accuracy	81.8%	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l))
✓	accuracy	91.2%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))))
✓	accuracy	88.9%	(.f64 D (.f64 M M))
✓	accuracy	88.2%	(.f64 (.f64 d d) l)
✓	accuracy	79.2%	(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
✓	accuracy	100.0%	(*.f64 w0 #s(literal 1 binary64))

Samples

63.0ms

256×

valid

Compiler

Compiled 301 to 37 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 26.0ms (71.8% of total)

ival-div: 4.0ms (11% of total)

ival-add: 2.0ms (5.5% of total)

ival-sqrt: 2.0ms (5.5% of total)

ival-sub: 1.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

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

series50.0ms (0.5%)

Memory

0.6MiB live, 75.3MiB allocated

Counts

11 → 480

Calls

Call 1

Inputs
#<alt (*.f64 w0 #s(literal 1 binary64))>
#<alt (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))>
#<alt (.f64 (.f64 d d) l)>
#<alt (.f64 D (.f64 M M))>
#<alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))))>
#<alt (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l))>
#<alt (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))>
#<alt (.f64 (.f64 M M) h)>
#<alt (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0)>
#<alt (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (.f64 d d) l))>
#<alt (.f64 h (.f64 M (*.f64 M w0)))>

Outputs
#<alt w0>
#<alt w0>
#<alt w0>
#<alt w0>
#<alt w0>
#<alt w0>
#<alt w0>
#<alt w0>
#<alt w0>
#<alt w0>
#<alt w0>
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#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
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#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
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#<alt (* (pow d 2) l)>
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#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
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#<alt (* (pow d 2) l)>
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#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
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#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
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#<alt (* D (pow M 2))>
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#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))>
#<alt (+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))>
#<alt (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))>
#<alt (* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))>
#<alt (* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))>
#<alt (* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))>
#<alt (* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))>
#<alt (* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))>
#<alt (* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))>
#<alt (* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))>
#<alt (+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))>
#<alt (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))>
#<alt (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))>
#<alt (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))>
#<alt (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))>
#<alt (* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))>
#<alt (* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))>
#<alt (* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))>
#<alt (* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))>
#<alt (+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))>
#<alt (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))>
#<alt (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))>
#<alt (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))>
#<alt (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))>
#<alt (* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))>
#<alt (* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))>
#<alt (* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))>
#<alt (* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))>
#<alt (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))>
#<alt (/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)>
#<alt (/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)>
#<alt (/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))>
#<alt (+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))>
#<alt (+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))>
#<alt (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))>
#<alt (/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)>
#<alt (/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)>
#<alt (/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))>
#<alt (+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))>
#<alt (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))>
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#<alt 1>
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#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
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#<alt (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))>
#<alt (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))>
#<alt (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))>
#<alt (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))>
#<alt (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))>
#<alt (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))>
#<alt (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))>
#<alt (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))>
#<alt (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))>
#<alt 1>
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#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))>
#<alt (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))>
#<alt (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))>
#<alt (* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))>
#<alt (* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))>
#<alt (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))>
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#<alt 1>
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#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)>
#<alt (/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)>
#<alt (/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt w0>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))>
#<alt (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))>
#<alt (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))>
#<alt (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))>
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#<alt (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))>
#<alt w0>
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#<alt (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h)))>
#<alt (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h)))>
#<alt (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))>
#<alt (* -1 (* h (+ (* -1 (/ w0 h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))))))>
#<alt (* -1 (* h (+ (* -1 (/ w0 h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))))))>
#<alt (* -1 (* h (+ (* -1 (/ w0 h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))))))>
#<alt w0>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
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#<alt (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))>
#<alt (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))>
#<alt (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))>
#<alt (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))>
#<alt (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))>
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#<alt (* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))>
#<alt (* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))>
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#<alt (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2))>
#<alt w0>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt w0>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))>
#<alt (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))) (* l w0)) l)>
#<alt (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))) (* l w0)) l)>
#<alt (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))) (* l w0)) l)>
#<alt w0>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt w0>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))>
#<alt (* (pow M 2) (* h w0))>
#<alt (* (pow M 2) (* h w0))>
#<alt (* (pow M 2) (* h w0))>
#<alt (* (pow M 2) (* h w0))>
#<alt (* (pow M 2) (* h w0))>
#<alt (* (pow M 2) (* h w0))>
#<alt (* (pow M 2) (* h w0))>
#<alt (* (pow M 2) (* h w0))>
#<alt (* (pow M 2) (* h w0))>
#<alt (* (pow M 2) (* h w0))>
#<alt (* (pow M 2) (* h w0))>
#<alt (* (pow M 2) (* h w0))>
#<alt (* (pow M 2) (* h w0))>
#<alt (* (pow M 2) (* h w0))>
#<alt (* (pow M 2) (* h w0))>
#<alt (* (pow M 2) (* h w0))>
#<alt (* (pow M 2) (* h w0))>
#<alt (* (pow M 2) (* h w0))>
#<alt (* (pow M 2) (* h w0))>
#<alt (* (pow M 2) (* h w0))>
#<alt (* (pow M 2) (* h w0))>
#<alt (* (pow M 2) (* h w0))>
#<alt (* (pow M 2) (* h w0))>
#<alt (* (pow M 2) (* h w0))>
#<alt (* (pow M 2) (* h w0))>
#<alt (* (pow M 2) (* h w0))>
#<alt (* (pow M 2) (* h w0))>
#<alt (* (pow M 2) (* h w0))>
#<alt (* (pow M 2) (* h w0))>
#<alt (* (pow M 2) (* h w0))>
#<alt (* (pow M 2) (* h w0))>
#<alt (* (pow M 2) (* h w0))>
#<alt (* (pow M 2) (* h w0))>
#<alt (* (pow M 2) (* h w0))>
#<alt (* (pow M 2) (* h w0))>
#<alt (* (pow M 2) (* h w0))>

Calls

120 calls:

Time	Variable		Point	Expression
6.0ms	h	@	-inf	(+ (* (* D D) (/ (* -1/8 (* (* M M) h)) (* (* d d) l))) 1)
4.0ms	d	@	-inf	(/ (* -1/8 (* (* M M) h)) (* (* d d) l))
4.0ms	d	@	0	(/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))
1.0ms	h	@	0	(/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))
1.0ms	w0	@	0	(+ (* (* D D) (/ (* -1/8 (* h (* M (* M w0)))) (* (* d d) l))) w0)

rewrite301.0ms (2.8%)

Memory

-8.4MiB live, 381.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 830×	`lower-*.f32`
5 800×	`lower-*.f64`
4 730×	`lower-/.f32`
4 724×	`lower-/.f64`
2 836×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	128
0	55	126
1	179	121
2	1435	121
0	8378	119

Stop Event

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

Counts

11 → 313

Calls

Call 1

Inputs
(*.f64 w0 #s(literal 1 binary64))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))
(.f64 (.f64 d d) l)
(.f64 D (.f64 M M))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (*.f64 d d) l))))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(.f64 (.f64 M M) h)
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0)
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (.f64 d d) l))
(.f64 h (.f64 M (*.f64 M w0)))

Outputs
w0
(*.f64 w0 #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) w0)
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)))) #s(literal -1 binary64)))
(neg.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) (.f64 d (*.f64 d l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 D (.f64 M (.f64 D M))) (*.f64 #s(literal 1/4 binary64) h))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 D (.f64 M (.f64 D M))) (*.f64 #s(literal 1/4 binary64) h))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 d d))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 D (.f64 M (.f64 D M))) (*.f64 #s(literal 1/4 binary64) h))))))
(/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 d (*.f64 d l)))
(/.f64 (.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) #s(literal -1/4 binary64)) (neg.f64 (.f64 d (*.f64 d l))))
(/.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 d d)) l)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 D (.f64 M (.f64 D M))) (*.f64 #s(literal 1/4 binary64) h)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 D (.f64 M (.f64 D M))) (*.f64 #s(literal 1/4 binary64) h))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 d d)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h))) (.f64 d (.f64 d l)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) #s(literal -1/4 binary64))) (neg.f64 (.f64 d (.f64 d l))))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (*.f64 d d))) l)
(/.f64 (.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) #s(literal 1 binary64)) (.f64 d (.f64 d l)))
(/.f64 (neg.f64 (.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) #s(literal -1/4 binary64))) (neg.f64 (neg.f64 (.f64 d (*.f64 d l)))))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 d d))) (neg.f64 l))
(/.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 d d)) (.f64 h (.f64 D (.f64 M (.f64 D M))))) l)
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 (.f64 D (.f64 M (.f64 D M))) l))) (.f64 d d))
(/.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) d) (.f64 d l))
(/.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) l) (.f64 d d))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (neg.f64 (.f64 d (*.f64 d l))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 d d)))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)))) (neg.f64 (.f64 d (.f64 d l))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (.f64 d (.f64 d l)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (*.f64 d d)))) (neg.f64 l))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) #s(literal 1 binary64))) (neg.f64 (.f64 d (.f64 d l))))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 d d)) (.f64 h (.f64 D (.f64 M (.f64 D M)))))) (neg.f64 l))
(/.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (/.f64 (.f64 D (.f64 M (.f64 D M))) l)))) (neg.f64 (.f64 d d)))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) d)) (neg.f64 (.f64 d l)))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) l)) (neg.f64 (.f64 d d)))
(pow.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 D (.f64 M (.f64 D M))) (*.f64 #s(literal 1/4 binary64) h))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 D (.f64 M (.f64 D M))) (*.f64 #s(literal 1/4 binary64) h))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 l (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 d d))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 d (.f64 d l))))
(.f64 #s(literal 1/4 binary64) (/.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) (.f64 d (*.f64 d l))))
(.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 d (.f64 d l)))))
(.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) (/.f64 #s(literal 1/4 binary64) (.f64 d (*.f64 d l))))
(.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (/.f64 #s(literal 1 binary64) (.f64 d (.f64 d l))))
(.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 d (.f64 d l)))))
(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 d d)) (.f64 h (/.f64 (.f64 D (.f64 M (.f64 D M))) l)))
(.f64 (.f64 h (/.f64 (.f64 D (.f64 M (.f64 D M))) l)) (/.f64 #s(literal 1/4 binary64) (.f64 d d)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 d (.f64 d l))) (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 d (.f64 d l))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/4 binary64) h) (.f64 (.f64 D (.f64 M (.f64 D M))) (/.f64 #s(literal 1 binary64) (.f64 d (.f64 d l)))))
(.f64 (.f64 #s(literal 1/4 binary64) h) (/.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 d (*.f64 d l))))
(.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (*.f64 d d)) (/.f64 #s(literal 1 binary64) l))
(.f64 (/.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) (.f64 d (*.f64 d l))) #s(literal 1/4 binary64))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h))) (/.f64 #s(literal 1 binary64) (.f64 d (*.f64 d l))))
(.f64 (/.f64 #s(literal 1/4 binary64) d) (/.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) (.f64 d l)))
(.f64 (/.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) d) (/.f64 #s(literal 1/4 binary64) (.f64 d l)))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) h) d) (/.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 d l)))
(.f64 (/.f64 #s(literal 1/4 binary64) l) (/.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) (.f64 d d)))
(.f64 (/.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) (.f64 d d)) (/.f64 #s(literal 1/4 binary64) l))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) h) (.f64 d d)) (/.f64 (.f64 D (.f64 M (.f64 D M))) l))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) h) l) (/.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 d d)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 d d)) (pow.f64 (/.f64 l (.f64 (.f64 D (.f64 M (.f64 D M))) (*.f64 #s(literal 1/4 binary64) h))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (*.f64 d d)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 d d))) (.f64 h (/.f64 (.f64 D (.f64 M (*.f64 D M))) l)))
(.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 (.f64 d l) (.f64 (.f64 D (.f64 M (.f64 D M))) (*.f64 #s(literal 1/4 binary64) h))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 d #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d l) (.f64 h (.f64 D (.f64 M (.f64 D M))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 d (.f64 h (.f64 D (.f64 M (.f64 D M))))) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d l) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 d (.f64 #s(literal 1/4 binary64) h)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d l) (.f64 D (.f64 M (.f64 D M)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 h (.f64 D (.f64 M (.f64 D M))))) #s(literal -1 binary64)) (pow.f64 (/.f64 l #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 l #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d d) (.f64 h (.f64 D (.f64 M (.f64 D M))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 #s(literal 1/4 binary64) h)) #s(literal -1 binary64)) (pow.f64 (/.f64 l (.f64 D (.f64 M (.f64 D M)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 l (.f64 #s(literal 1/4 binary64) h)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d d) (.f64 D (.f64 M (.f64 D M)))) #s(literal -1 binary64)))
(.f64 d (.f64 d l))
(.f64 (.f64 d d) l)
(.f64 l (.f64 d d))
(.f64 (.f64 d l) d)
(.f64 D (.f64 M M))
(.f64 M (.f64 D M))
(.f64 (.f64 M M) D)
(.f64 (.f64 D M) M)
(exp.f64 (.f64 (log1p.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) (.f64 d (.f64 d l))))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) (.f64 d (.f64 d l))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 d (.f64 d l))) (fma.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) (/.f64 #s(literal 1/4 binary64) (.f64 d (.f64 d l))) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) #s(literal -1/4 binary64)) (.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)))) (.f64 (.f64 d (.f64 d l)) (.f64 (.f64 d (.f64 d l)) (.f64 d (.f64 d l)))))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) (/.f64 #s(literal 1/4 binary64) (.f64 d (.f64 d l))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h))) (.f64 (.f64 d (.f64 d l)) (.f64 d (.f64 d l))))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) #s(literal -1/4 binary64)) (.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)))) (.f64 (.f64 d (.f64 d l)) (.f64 (.f64 d (.f64 d l)) (.f64 d (.f64 d l))))))) (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 d (.f64 d l))) (fma.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) (/.f64 #s(literal 1/4 binary64) (.f64 d (.f64 d l))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) #s(literal -1/4 binary64)) (.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)))) (.f64 (.f64 d (.f64 d l)) (.f64 (.f64 d (.f64 d l)) (.f64 d (.f64 d l))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h))) (.f64 (.f64 d (.f64 d l)) (.f64 d (.f64 d l)))) (.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) (.f64 d (*.f64 d l)))))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h))) (.f64 (.f64 d (.f64 d l)) (.f64 d (.f64 d l)))))) (sqrt.f64 (fma.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) (/.f64 #s(literal 1/4 binary64) (.f64 d (.f64 d l))) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h))) (.f64 (.f64 d (.f64 d l)) (.f64 d (.f64 d l)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) (.f64 d (*.f64 d l)))))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) #s(literal -1/4 binary64)) (.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)))) (.f64 (.f64 d (.f64 d l)) (.f64 (.f64 d (.f64 d l)) (.f64 d (.f64 d l)))))))) (sqrt.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 d (.f64 d l))) (fma.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) (/.f64 #s(literal 1/4 binary64) (.f64 d (.f64 d l))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h))) (.f64 (.f64 d (.f64 d l)) (.f64 d (.f64 d l))))))) (sqrt.f64 (neg.f64 (fma.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) (/.f64 #s(literal 1/4 binary64) (.f64 d (.f64 d l))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) #s(literal -1/4 binary64)) (.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)))) (.f64 (.f64 d (.f64 d l)) (.f64 (.f64 d (.f64 d l)) (.f64 d (.f64 d l)))))))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 d (.f64 d l))) (fma.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) (/.f64 #s(literal 1/4 binary64) (.f64 d (.f64 d l))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h))) (.f64 (.f64 d (.f64 d l)) (.f64 d (.f64 d l))))))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) (/.f64 #s(literal 1/4 binary64) (.f64 d (.f64 d l))) #s(literal 1 binary64)))))
(pow.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) (.f64 d (.f64 d l))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
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(exp.f64 (.f64 (log.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 h (.f64 (*.f64 M M) #s(literal -1/8 binary64))) w0))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) w0) (neg.f64 (.f64 d (.f64 d l)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) w0)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) w0)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 (.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) w0) (*.f64 d d))))
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(/.f64 (.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) w0) (.f64 d (.f64 d l)))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) w0))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) w0)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (/.f64 (.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) w0) (*.f64 d d)))))
(/.f64 (neg.f64 (.f64 (.f64 M (.f64 (.f64 w0 M) h)) #s(literal 1/8 binary64))) (neg.f64 (neg.f64 (.f64 d (.f64 d l)))))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) w0) (*.f64 d d))) (neg.f64 l))
(/.f64 (/.f64 (.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) w0) l) (*.f64 d d))
(/.f64 (.f64 (.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) w0) #s(literal 1 binary64)) (.f64 d (*.f64 d l)))
(/.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 M (.f64 (*.f64 w0 M) h))) l)
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 w0 (.f64 M M)) (/.f64 h l))) (*.f64 d d))
(/.f64 (/.f64 (.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) w0) d) (*.f64 d l))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) w0) d)) (neg.f64 (*.f64 d l)))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 M (.f64 (.f64 w0 M) h)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (neg.f64 (.f64 d (.f64 d l))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) w0) (*.f64 d d)))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) w0) l)) (neg.f64 (*.f64 d d)))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) w0) #s(literal 1 binary64))) (neg.f64 (.f64 d (*.f64 d l))))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 M (.f64 (*.f64 w0 M) h)))) (neg.f64 l))
(/.f64 (neg.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 w0 (.f64 M M)) (/.f64 h l)))) (neg.f64 (*.f64 d d)))
(pow.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) w0)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) w0)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 l (/.f64 (.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) w0) (*.f64 d d))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) w0) (.f64 d (*.f64 d l))))
(.f64 #s(literal -1/8 binary64) (.f64 (.f64 w0 (.f64 M M)) (/.f64 h (.f64 d (.f64 d l)))))
(.f64 (.f64 M (.f64 (.f64 w0 M) h)) (.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 d (*.f64 d l)))))
(.f64 (.f64 M (.f64 (.f64 w0 M) h)) (/.f64 #s(literal -1/8 binary64) (.f64 d (.f64 d l))))
(.f64 (.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) w0) (/.f64 #s(literal 1 binary64) (.f64 d (*.f64 d l))))
(.f64 (.f64 (.f64 M (.f64 (.f64 w0 M) h)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 d (*.f64 d l)))))
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(.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (.f64 w0 (.f64 M M)) (/.f64 #s(literal 1 binary64) (.f64 d (*.f64 d l)))))
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(.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 (.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) w0) (.f64 d d)))
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(.f64 (pow.f64 (/.f64 d #s(literal -1/8 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d l) (.f64 M (.f64 (*.f64 w0 M) h))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 l #s(literal -1/8 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d d) (.f64 M (.f64 (*.f64 w0 M) h))) #s(literal -1 binary64)))
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(.f64 (pow.f64 (/.f64 d (.f64 h #s(literal -1/8 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d l) (.f64 w0 (*.f64 M M))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 M (.f64 (*.f64 w0 M) h))) #s(literal -1 binary64)) (pow.f64 (/.f64 l #s(literal -1/8 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 h #s(literal -1/8 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 l (.f64 w0 (*.f64 M M))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 l (.f64 h #s(literal -1/8 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d d) (.f64 w0 (*.f64 M M))) #s(literal -1 binary64)))
(.f64 h (.f64 w0 (*.f64 M M)))
(.f64 M (.f64 (*.f64 w0 M) h))
(.f64 (.f64 M M) (*.f64 w0 h))
(.f64 (.f64 h (*.f64 M M)) w0)
(.f64 (.f64 w0 M) (*.f64 h M))
(.f64 (.f64 w0 (*.f64 M M)) h)
(.f64 (.f64 h M) (*.f64 w0 M))
(.f64 (.f64 h (*.f64 w0 M)) M)
(.f64 (.f64 (*.f64 h M) w0) M)

simplify370.0ms (3.5%)

Memory

35.3MiB live, 557.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 488×	`lower-fma.f64`
11 488×	`lower-fma.f32`
7 234×	`lower-*.f64`
7 234×	`lower-*.f32`
3 106×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	407	8075
1	1305	8040
2	5672	8034
0	8069	7847

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 461

Calls

Call 1

Inputs
w0
w0
w0
w0
w0
w0
w0
w0
w0
w0
w0
w0
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* (pow M 2) h)
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(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
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(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))
(* (pow M 2) (* h w0))

Outputs
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(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w0 (.f64 (.f64 M M) h))) (.f64 (.f64 d d) l))
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(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w0 (.f64 (.f64 M M) h))) (.f64 (.f64 d d) l))
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(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w0 (.f64 (.f64 M M) h))) (.f64 (.f64 d d) l))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w0 (.f64 (.f64 M M) h))) (.f64 (.f64 d d) l))
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(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w0 (.f64 (.f64 M M) h))) (.f64 (.f64 d d) l))
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(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w0 (.f64 (.f64 M M) h))) (.f64 (.f64 d d) l))
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(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w0 (.f64 (.f64 M M) h))) (.f64 (.f64 d d) l))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w0 (.f64 (.f64 M M) h))) (.f64 (.f64 d d) l))
(* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l)))
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(* (pow M 2) (* h w0))
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(* (pow M 2) (* h w0))
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(* (pow M 2) (* h w0))
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(* (pow M 2) (* h w0))
(.f64 w0 (.f64 (*.f64 M M) h))
(* (pow M 2) (* h w0))
(.f64 w0 (.f64 (*.f64 M M) h))
(* (pow M 2) (* h w0))
(.f64 w0 (.f64 (*.f64 M M) h))
(* (pow M 2) (* h w0))
(.f64 w0 (.f64 (*.f64 M M) h))
(* (pow M 2) (* h w0))
(.f64 w0 (.f64 (*.f64 M M) h))
(* (pow M 2) (* h w0))
(.f64 w0 (.f64 (*.f64 M M) h))
(* (pow M 2) (* h w0))
(.f64 w0 (.f64 (*.f64 M M) h))
(* (pow M 2) (* h w0))
(.f64 w0 (.f64 (*.f64 M M) h))
(* (pow M 2) (* h w0))
(.f64 w0 (.f64 (*.f64 M M) h))
(* (pow M 2) (* h w0))
(.f64 w0 (.f64 (*.f64 M M) h))
(* (pow M 2) (* h w0))
(.f64 w0 (.f64 (*.f64 M M) h))
(* (pow M 2) (* h w0))
(.f64 w0 (.f64 (*.f64 M M) h))
(* (pow M 2) (* h w0))
(.f64 w0 (.f64 (*.f64 M M) h))
(* (pow M 2) (* h w0))
(.f64 w0 (.f64 (*.f64 M M) h))
(* (pow M 2) (* h w0))
(.f64 w0 (.f64 (*.f64 M M) h))
(* (pow M 2) (* h w0))
(.f64 w0 (.f64 (*.f64 M M) h))
(* (pow M 2) (* h w0))
(.f64 w0 (.f64 (*.f64 M M) h))
(* (pow M 2) (* h w0))
(.f64 w0 (.f64 (*.f64 M M) h))
(* (pow M 2) (* h w0))
(.f64 w0 (.f64 (*.f64 M M) h))
(* (pow M 2) (* h w0))
(.f64 w0 (.f64 (*.f64 M M) h))
(* (pow M 2) (* h w0))
(.f64 w0 (.f64 (*.f64 M M) h))
(* (pow M 2) (* h w0))
(.f64 w0 (.f64 (*.f64 M M) h))
(* (pow M 2) (* h w0))
(.f64 w0 (.f64 (*.f64 M M) h))
(* (pow M 2) (* h w0))
(.f64 w0 (.f64 (*.f64 M M) h))
(* (pow M 2) (* h w0))
(.f64 w0 (.f64 (*.f64 M M) h))
(* (pow M 2) (* h w0))
(.f64 w0 (.f64 (*.f64 M M) h))

simplify74.0ms (0.7%)

Memory

-0.3MiB live, 116.7MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	727	9123
1	729	9123
0	729	9123

Stop Event

1×	saturated
1×	saturated

Counts

313 → 0

Calls

Call 1

Inputs
w0
(*.f64 w0 #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) w0)
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)))) #s(literal -1 binary64)))
(neg.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) (.f64 d (*.f64 d l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 D (.f64 M (.f64 D M))) (*.f64 #s(literal 1/4 binary64) h))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 D (.f64 M (.f64 D M))) (*.f64 #s(literal 1/4 binary64) h))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 d d))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 D (.f64 M (.f64 D M))) (*.f64 #s(literal 1/4 binary64) h))))))
(/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 d (*.f64 d l)))
(/.f64 (.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) #s(literal -1/4 binary64)) (neg.f64 (.f64 d (*.f64 d l))))
(/.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 d d)) l)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 D (.f64 M (.f64 D M))) (*.f64 #s(literal 1/4 binary64) h)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 D (.f64 M (.f64 D M))) (*.f64 #s(literal 1/4 binary64) h))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 d d)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h))) (.f64 d (.f64 d l)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) #s(literal -1/4 binary64))) (neg.f64 (.f64 d (.f64 d l))))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (*.f64 d d))) l)
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(/.f64 (neg.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 d d))) (neg.f64 l))
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(/.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) l) (.f64 d d))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (neg.f64 (.f64 d (*.f64 d l))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 d d)))) (neg.f64 (neg.f64 l)))
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(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 d d)) (.f64 h (.f64 D (.f64 M (.f64 D M)))))) (neg.f64 l))
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(/.f64 (neg.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) d)) (neg.f64 (.f64 d l)))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) l)) (neg.f64 (.f64 d d)))
(pow.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 D (.f64 M (.f64 D M))) (*.f64 #s(literal 1/4 binary64) h))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 D (.f64 M (.f64 D M))) (*.f64 #s(literal 1/4 binary64) h))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 l (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 d d))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 d (.f64 d l))))
(.f64 #s(literal 1/4 binary64) (/.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) (.f64 d (*.f64 d l))))
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(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) w0) (*.f64 d d)))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) w0) l)) (neg.f64 (*.f64 d d)))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) w0) #s(literal 1 binary64))) (neg.f64 (.f64 d (*.f64 d l))))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 M (.f64 (*.f64 w0 M) h)))) (neg.f64 l))
(/.f64 (neg.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 w0 (.f64 M M)) (/.f64 h l)))) (neg.f64 (*.f64 d d)))
(pow.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) w0)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) w0)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 l (/.f64 (.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) w0) (*.f64 d d))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) w0) (.f64 d (*.f64 d l))))
(.f64 #s(literal -1/8 binary64) (.f64 (.f64 w0 (.f64 M M)) (/.f64 h (.f64 d (.f64 d l)))))
(.f64 (.f64 M (.f64 (.f64 w0 M) h)) (.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 d (*.f64 d l)))))
(.f64 (.f64 M (.f64 (.f64 w0 M) h)) (/.f64 #s(literal -1/8 binary64) (.f64 d (.f64 d l))))
(.f64 (.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) w0) (/.f64 #s(literal 1 binary64) (.f64 d (*.f64 d l))))
(.f64 (.f64 (.f64 M (.f64 (.f64 w0 M) h)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 d (*.f64 d l)))))
(.f64 (/.f64 #s(literal -1/8 binary64) (.f64 d d)) (.f64 (.f64 w0 (*.f64 M M)) (/.f64 h l)))
(.f64 (.f64 (.f64 w0 (.f64 M M)) (/.f64 h l)) (/.f64 #s(literal -1/8 binary64) (*.f64 d d)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 d (.f64 d l))) (.f64 (.f64 h (.f64 (*.f64 M M) #s(literal -1/8 binary64))) w0))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 d (.f64 d l))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 h (.f64 (*.f64 M M) #s(literal -1/8 binary64))) w0)) #s(literal -1 binary64)))
(.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 (.f64 w0 (.f64 M M)) (/.f64 #s(literal 1 binary64) (.f64 d (*.f64 d l)))))
(.f64 (.f64 h #s(literal -1/8 binary64)) (/.f64 (.f64 w0 (.f64 M M)) (.f64 d (.f64 d l))))
(.f64 (/.f64 (.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) w0) (.f64 d d)) (/.f64 #s(literal 1 binary64) l))
(.f64 (.f64 (.f64 w0 (.f64 M M)) (/.f64 h (.f64 d (.f64 d l)))) #s(literal -1/8 binary64))
(.f64 (/.f64 #s(literal -1/8 binary64) d) (/.f64 (.f64 M (.f64 (.f64 w0 M) h)) (*.f64 d l)))
(.f64 (/.f64 #s(literal -1/8 binary64) l) (/.f64 (.f64 M (.f64 (.f64 w0 M) h)) (*.f64 d d)))
(.f64 (/.f64 (.f64 M (.f64 (.f64 w0 M) h)) (*.f64 d d)) (/.f64 #s(literal -1/8 binary64) l))
(.f64 (/.f64 (.f64 M (.f64 (.f64 w0 M) h)) d) (/.f64 #s(literal -1/8 binary64) (*.f64 d l)))
(.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) d) (/.f64 (.f64 w0 (.f64 M M)) (*.f64 d l)))
(.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) (.f64 d d)) (/.f64 (.f64 w0 (*.f64 M M)) l))
(.f64 (/.f64 (.f64 h #s(literal -1/8 binary64)) l) (/.f64 (.f64 w0 (.f64 M M)) (*.f64 d d)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 d d)) (pow.f64 (/.f64 l (.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) w0)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 (.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) w0) (.f64 d d)))
(.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 (.f64 d l) (.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) w0)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 d #s(literal -1/8 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d l) (.f64 M (.f64 (*.f64 w0 M) h))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 l #s(literal -1/8 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d d) (.f64 M (.f64 (*.f64 w0 M) h))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 d (.f64 M (.f64 (.f64 w0 M) h))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 d l) #s(literal -1/8 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 d (.f64 h #s(literal -1/8 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d l) (.f64 w0 (*.f64 M M))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 M (.f64 (*.f64 w0 M) h))) #s(literal -1 binary64)) (pow.f64 (/.f64 l #s(literal -1/8 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 h #s(literal -1/8 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 l (.f64 w0 (*.f64 M M))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 l (.f64 h #s(literal -1/8 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d d) (.f64 w0 (*.f64 M M))) #s(literal -1 binary64)))
(.f64 h (.f64 w0 (*.f64 M M)))
(.f64 M (.f64 (*.f64 w0 M) h))
(.f64 (.f64 M M) (*.f64 w0 h))
(.f64 (.f64 h (*.f64 M M)) w0)
(.f64 (.f64 w0 M) (*.f64 h M))
(.f64 (.f64 w0 (*.f64 M M)) h)
(.f64 (.f64 h M) (*.f64 w0 M))
(.f64 (.f64 h (*.f64 w0 M)) M)
(.f64 (.f64 (*.f64 h M) w0) M)

Outputs
w0
(*.f64 w0 #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) w0)
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)))) #s(literal -1 binary64)))
(neg.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) (.f64 d (*.f64 d l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 D (.f64 M (.f64 D M))) (*.f64 #s(literal 1/4 binary64) h))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 D (.f64 M (.f64 D M))) (*.f64 #s(literal 1/4 binary64) h))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 d d))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 D (.f64 M (.f64 D M))) (*.f64 #s(literal 1/4 binary64) h))))))
(/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 d (*.f64 d l)))
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(/.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 d d)) l)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 D (.f64 M (.f64 D M))) (*.f64 #s(literal 1/4 binary64) h)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 D (.f64 M (.f64 D M))) (*.f64 #s(literal 1/4 binary64) h))) #s(literal 1 binary64))))
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(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h))) (.f64 d (.f64 d l)))
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(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (neg.f64 (.f64 d (*.f64 d l))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 d d)))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)))) (neg.f64 (.f64 d (.f64 d l))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (.f64 d (.f64 d l)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (*.f64 d d)))) (neg.f64 l))
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(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 d d)) (.f64 h (.f64 D (.f64 M (.f64 D M)))))) (neg.f64 l))
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(/.f64 (neg.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) d)) (neg.f64 (.f64 d l)))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) l)) (neg.f64 (.f64 d d)))
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(pow.f64 (/.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 D (.f64 M (.f64 D M))) (*.f64 #s(literal 1/4 binary64) h))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 l (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 d d))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 d (.f64 d l))))
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(.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (/.f64 #s(literal 1 binary64) (.f64 d (.f64 d l))))
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(.f64 (.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 d (.f64 d l)))))
(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 d d)) (.f64 h (/.f64 (.f64 D (.f64 M (.f64 D M))) l)))
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(.f64 (.f64 #s(literal 1/4 binary64) h) (.f64 (.f64 D (.f64 M (.f64 D M))) (/.f64 #s(literal 1 binary64) (.f64 d (.f64 d l)))))
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(.f64 (/.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) (.f64 d (*.f64 d l))) #s(literal 1/4 binary64))
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(.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (*.f64 d d)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 d d))) (.f64 h (/.f64 (.f64 D (.f64 M (*.f64 D M))) l)))
(.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 (.f64 d l) (.f64 (.f64 D (.f64 M (.f64 D M))) (*.f64 #s(literal 1/4 binary64) h))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 d #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d l) (.f64 h (.f64 D (.f64 M (.f64 D M))))) #s(literal -1 binary64)))
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(.f64 (pow.f64 (/.f64 d (.f64 #s(literal 1/4 binary64) h)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d l) (.f64 D (.f64 M (.f64 D M)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 h (.f64 D (.f64 M (.f64 D M))))) #s(literal -1 binary64)) (pow.f64 (/.f64 l #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 l #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d d) (.f64 h (.f64 D (.f64 M (.f64 D M))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 #s(literal 1/4 binary64) h)) #s(literal -1 binary64)) (pow.f64 (/.f64 l (.f64 D (.f64 M (.f64 D M)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 l (.f64 #s(literal 1/4 binary64) h)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d d) (.f64 D (.f64 M (.f64 D M)))) #s(literal -1 binary64)))
(.f64 d (.f64 d l))
(.f64 (.f64 d d) l)
(.f64 l (.f64 d d))
(.f64 (.f64 d l) d)
(.f64 D (.f64 M M))
(.f64 M (.f64 D M))
(.f64 (.f64 M M) D)
(.f64 (.f64 D M) M)
(exp.f64 (.f64 (log1p.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) (.f64 d (.f64 d l))))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) (.f64 d (.f64 d l))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 d (.f64 d l))) (fma.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) (/.f64 #s(literal 1/4 binary64) (.f64 d (.f64 d l))) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 h (.f64 D (.f64 M (.f64 D M)))) #s(literal -1/4 binary64)) (.f64 (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)) (.f64 (.f64 D (.f64 M (.f64 D M))) (.f64 #s(literal 1/4 binary64) h)))) (.f64 (.f64 d (.f64 d l)) (.f64 (.f64 d (.f64 d l)) (.f64 d (.f64 d l)))))))))
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(.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 (.f64 d l) (.f64 (.f64 h (.f64 (.f64 M M) #s(literal -1/8 binary64))) w0)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 d #s(literal -1/8 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d l) (.f64 M (.f64 (*.f64 w0 M) h))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 l #s(literal -1/8 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d d) (.f64 M (.f64 (*.f64 w0 M) h))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 d (.f64 M (.f64 (.f64 w0 M) h))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 d l) #s(literal -1/8 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 d (.f64 h #s(literal -1/8 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d l) (.f64 w0 (*.f64 M M))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 M (.f64 (*.f64 w0 M) h))) #s(literal -1 binary64)) (pow.f64 (/.f64 l #s(literal -1/8 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 h #s(literal -1/8 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 l (.f64 w0 (*.f64 M M))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 l (.f64 h #s(literal -1/8 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d d) (.f64 w0 (*.f64 M M))) #s(literal -1 binary64)))
(.f64 h (.f64 w0 (*.f64 M M)))
(.f64 M (.f64 (*.f64 w0 M) h))
(.f64 (.f64 M M) (*.f64 w0 h))
(.f64 (.f64 h (*.f64 M M)) w0)
(.f64 (.f64 w0 M) (*.f64 h M))
(.f64 (.f64 w0 (*.f64 M M)) h)
(.f64 (.f64 h M) (*.f64 w0 M))
(.f64 (.f64 h (*.f64 w0 M)) M)
(.f64 (.f64 (*.f64 h M) w0) M)

eval103.0ms (1%)

Memory: -25.1MiB live, 171.0MiB allocated
Compiler: Compiled 23 926 to 448 computations (98.1% saved)

prune21.0ms (0.2%)

Memory

6.3MiB live, 45.1MiB allocated

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	1 009	9	1 018
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	1 009	14	1 023

Accuracy

90.1%

Counts

1 023 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.7%	(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0)
▶	55.8%	(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D (.f64 D (.f64 w0 (.f64 (.f64 M M) h)))) (.f64 d d)) (*.f64 w0 l)) l)
	33.9%	(/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (/.f64 (.f64 w0 (.f64 (.f64 M M) h)) l)) (.f64 w0 (.f64 d d))) (.f64 d d))
▶	58.7%	(.f64 (fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 (*.f64 d d) l)))) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (neg.f64 w0))
	12.7%	(.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w0 (.f64 (.f64 M M) h))) (.f64 (.f64 d d) l)))
	68.2%	(.f64 w0 (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) h) #s(literal 1 binary64)))
▶	53.9%	(.f64 w0 (fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
✓	57.7%	(.f64 w0 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
▶	13.5%	(.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 (.f64 d d) l)))
▶	70.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (.f64 M M) h) D) D)) (.f64 (.f64 d d) l)))))
✓	70.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (.f64 d d) l)))))
✓	82.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
✓	69.2%	(*.f64 w0 #s(literal 1 binary64))
	46.3%	(.f64 h (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 D D) (.f64 w0 (.f64 M M))) (.f64 (*.f64 d d) l)) (/.f64 w0 h)))

Compiler

Compiled 599 to 385 computations (35.7% saved)

simplify228.0ms (2.1%)

Memory

9.3MiB live, 321.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 D (.f64 D (.f64 w0 (.f64 (*.f64 M M) h))))
✓	cost-diff	0	(/.f64 (.f64 D (.f64 D (.f64 w0 (.f64 (.f64 M M) h)))) (.f64 d d))
✓	cost-diff	0	(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D (.f64 D (.f64 w0 (.f64 (.f64 M M) h)))) (.f64 d d)) (*.f64 w0 l)) l)
✓	cost-diff	320	(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D (.f64 D (.f64 w0 (.f64 (.f64 M M) h)))) (.f64 d d)) (*.f64 w0 l))
✓	cost-diff	0	(.f64 (.f64 M (.f64 M (/.f64 h (.f64 (*.f64 d d) l)))) #s(literal 1/8 binary64))
✓	cost-diff	0	(*.f64 D D)
✓	cost-diff	0	(fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 (.f64 d d) l)))) #s(literal 1/8 binary64)) #s(literal -1 binary64))
✓	cost-diff	128	(.f64 (fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 (*.f64 d d) l)))) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (neg.f64 w0))
✓	cost-diff	0	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (*.f64 d d) l))
✓	cost-diff	0	(*.f64 M M)
✓	cost-diff	0	(fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 w0 (fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 (.f64 (.f64 (.f64 M M) h) D) D)
✓	cost-diff	0	(.f64 (.f64 (.f64 (.f64 (*.f64 M M) h) D) D) #s(literal -1/8 binary64))
✓	cost-diff	0	(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 (*.f64 d d) l))
✓	cost-diff	0	(.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 (.f64 d d) l)))
✓	cost-diff	0	(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (.f64 M M) h) D) D)) (.f64 (*.f64 d d) l))
✓	cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (.f64 M M) h) D) D)) (.f64 (*.f64 d d) l))))
✓	cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (.f64 M M) h) D) D)) (.f64 (.f64 d d) l)))))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (.f64 M M) h) D) D)) (.f64 (*.f64 d d) l)))

Rules

8 678×	`lower-*.f32`
8 634×	`lower-*.f64`
2 646×	`lower-/.f32`
2 634×	`lower-/.f64`
2 610×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	505
0	82	504
1	187	504
2	724	504
3	4584	502
4	7755	502
0	8092	497

Stop Event

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

Calls

Call 1

Inputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (.f64 M M) h) D) D)) (.f64 (.f64 d d) l)))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (.f64 M M) h) D) D)) (.f64 (*.f64 d d) l))))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (.f64 M M) h) D) D)) (.f64 (*.f64 d d) l)))
#s(literal 1 binary64)
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (.f64 M M) h) D) D)) (.f64 (*.f64 d d) l))
(.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (*.f64 M M) h) D) D))
#s(literal 1/4 binary64)
(.f64 (.f64 (.f64 (.f64 M M) h) D) D)
(.f64 (.f64 (*.f64 M M) h) D)
(.f64 (.f64 M M) h)
(*.f64 M M)
M
h
D
(.f64 (.f64 d d) l)
(*.f64 d d)
d
l
(.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 (.f64 d d) l)))
w0
(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 (*.f64 d d) l))
(.f64 (.f64 (.f64 (.f64 (*.f64 M M) h) D) D) #s(literal -1/8 binary64))
(.f64 (.f64 (.f64 (.f64 M M) h) D) D)
(.f64 (.f64 (*.f64 M M) h) D)
(.f64 (.f64 M M) h)
(*.f64 M M)
M
h
D
#s(literal -1/8 binary64)
(.f64 (.f64 d d) l)
(*.f64 d d)
d
l
(.f64 w0 (fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
w0
(fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(*.f64 M M)
M
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (*.f64 d d) l))
(.f64 #s(literal -1/8 binary64) (.f64 (*.f64 D D) h))
#s(literal -1/8 binary64)
(.f64 (.f64 D D) h)
(*.f64 D D)
D
h
(.f64 (.f64 d d) l)
(*.f64 d d)
d
l
#s(literal 1 binary64)
(.f64 (fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 (*.f64 d d) l)))) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (neg.f64 w0))
(fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 (.f64 d d) l)))) #s(literal 1/8 binary64)) #s(literal -1 binary64))
(*.f64 D D)
D
(.f64 (.f64 M (.f64 M (/.f64 h (.f64 (*.f64 d d) l)))) #s(literal 1/8 binary64))
(.f64 M (.f64 M (/.f64 h (.f64 (.f64 d d) l))))
M
(.f64 M (/.f64 h (.f64 (*.f64 d d) l)))
(/.f64 h (.f64 (.f64 d d) l))
h
(.f64 (.f64 d d) l)
(*.f64 d d)
d
l
#s(literal 1/8 binary64)
#s(literal -1 binary64)
(neg.f64 w0)
w0
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D (.f64 D (.f64 w0 (.f64 (.f64 M M) h)))) (.f64 d d)) (*.f64 w0 l)) l)
(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D (.f64 D (.f64 w0 (.f64 (.f64 M M) h)))) (.f64 d d)) (*.f64 w0 l))
#s(literal -1/8 binary64)
(/.f64 (.f64 D (.f64 D (.f64 w0 (.f64 (.f64 M M) h)))) (.f64 d d))
(.f64 D (.f64 D (.f64 w0 (.f64 (*.f64 M M) h))))
D
(.f64 D (.f64 w0 (.f64 (.f64 M M) h)))
(.f64 w0 (.f64 (*.f64 M M) h))
w0
(.f64 (.f64 M M) h)
(*.f64 M M)
M
h
(*.f64 d d)
d
(*.f64 w0 l)
l

Outputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (.f64 M M) h) D) D)) (.f64 (.f64 d d) l)))))
(.f64 w0 (sqrt.f64 (fma.f64 (.f64 M (.f64 M (.f64 h (.f64 D D)))) (/.f64 #s(literal -1/4 binary64) (.f64 d (*.f64 d l))) #s(literal 1 binary64))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (.f64 M M) h) D) D)) (.f64 (*.f64 d d) l))))
(sqrt.f64 (fma.f64 (.f64 M (.f64 M (.f64 h (.f64 D D)))) (/.f64 #s(literal -1/4 binary64) (.f64 d (.f64 d l))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (.f64 M M) h) D) D)) (.f64 (*.f64 d d) l)))
(fma.f64 (.f64 M (.f64 M (.f64 h (.f64 D D)))) (/.f64 #s(literal -1/4 binary64) (.f64 d (.f64 d l))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (.f64 M M) h) D) D)) (.f64 (*.f64 d d) l))
(/.f64 (.f64 D (.f64 D (.f64 (.f64 #s(literal 1/4 binary64) (.f64 M M)) h))) (.f64 d (*.f64 d l)))
(.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (*.f64 M M) h) D) D))
(.f64 D (.f64 D (.f64 (.f64 #s(literal 1/4 binary64) (*.f64 M M)) h)))
#s(literal 1/4 binary64)
(.f64 (.f64 (.f64 (.f64 M M) h) D) D)
(.f64 M (.f64 M (.f64 h (.f64 D D))))
(.f64 (.f64 (*.f64 M M) h) D)
(.f64 M (.f64 M (*.f64 h D)))
(.f64 (.f64 M M) h)
(.f64 M (.f64 M h))
(*.f64 M M)
M
h
D
(.f64 (.f64 d d) l)
(.f64 d (.f64 d l))
(*.f64 d d)
d
l
(.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 (.f64 d d) l)))
(/.f64 (.f64 w0 (.f64 h (.f64 (.f64 M (.f64 M (.f64 D D))) #s(literal -1/8 binary64)))) (.f64 d (.f64 d l)))
w0
(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 (*.f64 d d) l))
(/.f64 (.f64 h (.f64 (.f64 M (.f64 M (.f64 D D))) #s(literal -1/8 binary64))) (.f64 d (*.f64 d l)))
(.f64 (.f64 (.f64 (.f64 (*.f64 M M) h) D) D) #s(literal -1/8 binary64))
(.f64 h (.f64 (.f64 M (.f64 M (*.f64 D D))) #s(literal -1/8 binary64)))
(.f64 (.f64 (.f64 (.f64 M M) h) D) D)
(.f64 M (.f64 M (.f64 h (.f64 D D))))
(.f64 (.f64 (*.f64 M M) h) D)
(.f64 M (.f64 M (*.f64 h D)))
(.f64 (.f64 M M) h)
(.f64 M (.f64 M h))
(*.f64 M M)
M
h
D
#s(literal -1/8 binary64)
(.f64 (.f64 d d) l)
(.f64 d (.f64 d l))
(*.f64 d d)
d
l
(.f64 w0 (fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(fma.f64 (.f64 M M) (/.f64 (.f64 w0 (.f64 h (.f64 D (.f64 D #s(literal -1/8 binary64))))) (.f64 d (*.f64 d l))) w0)
w0
(fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(fma.f64 (.f64 M M) (/.f64 (.f64 h (.f64 D (.f64 D #s(literal -1/8 binary64)))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(*.f64 M M)
M
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (*.f64 d d) l))
(/.f64 (.f64 h (.f64 D (.f64 D #s(literal -1/8 binary64)))) (.f64 d (*.f64 d l)))
(.f64 #s(literal -1/8 binary64) (.f64 (*.f64 D D) h))
(.f64 h (.f64 D (*.f64 D #s(literal -1/8 binary64))))
#s(literal -1/8 binary64)
(.f64 (.f64 D D) h)
(.f64 h (.f64 D D))
(*.f64 D D)
D
h
(.f64 (.f64 d d) l)
(.f64 d (.f64 d l))
(*.f64 d d)
d
l
#s(literal 1 binary64)
(.f64 (fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 (*.f64 d d) l)))) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (neg.f64 w0))
(fma.f64 (.f64 M M) (/.f64 (.f64 w0 (.f64 h (.f64 D (.f64 D #s(literal -1/8 binary64))))) (.f64 d (*.f64 d l))) w0)
(fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 (.f64 d d) l)))) #s(literal 1/8 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (.f64 M h) (.f64 d (.f64 d l))) (.f64 M (.f64 (.f64 D D) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(*.f64 D D)
D
(.f64 (.f64 M (.f64 M (/.f64 h (.f64 (*.f64 d d) l)))) #s(literal 1/8 binary64))
(/.f64 (.f64 #s(literal 1/8 binary64) (.f64 M (.f64 M h))) (.f64 d (*.f64 d l)))
(.f64 M (.f64 M (/.f64 h (.f64 (.f64 d d) l))))
(/.f64 (.f64 M (.f64 M h)) (.f64 d (.f64 d l)))
M
(.f64 M (/.f64 h (.f64 (*.f64 d d) l)))
(/.f64 (.f64 M h) (.f64 d (*.f64 d l)))
(/.f64 h (.f64 (.f64 d d) l))
(/.f64 h (.f64 d (.f64 d l)))
h
(.f64 (.f64 d d) l)
(.f64 d (.f64 d l))
(*.f64 d d)
d
l
#s(literal 1/8 binary64)
#s(literal -1 binary64)
(neg.f64 w0)
w0
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D (.f64 D (.f64 w0 (.f64 (.f64 M M) h)))) (.f64 d d)) (*.f64 w0 l)) l)
(/.f64 (.f64 w0 (fma.f64 (.f64 M (.f64 M D)) (.f64 h (.f64 D (/.f64 #s(literal -1/8 binary64) (.f64 d d)))) l)) l)
(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D (.f64 D (.f64 w0 (.f64 (.f64 M M) h)))) (.f64 d d)) (*.f64 w0 l))
(.f64 w0 (fma.f64 (.f64 M (.f64 M D)) (.f64 h (.f64 D (/.f64 #s(literal -1/8 binary64) (.f64 d d)))) l))
#s(literal -1/8 binary64)
(/.f64 (.f64 D (.f64 D (.f64 w0 (.f64 (.f64 M M) h)))) (.f64 d d))
(/.f64 (.f64 D (.f64 D (.f64 M (.f64 w0 (.f64 M h))))) (.f64 d d))
(.f64 D (.f64 D (.f64 w0 (.f64 (*.f64 M M) h))))
(.f64 D (.f64 D (.f64 M (.f64 w0 (*.f64 M h)))))
D
(.f64 D (.f64 w0 (.f64 (.f64 M M) h)))
(.f64 D (.f64 M (.f64 w0 (.f64 M h))))
(.f64 w0 (.f64 (*.f64 M M) h))
(.f64 M (.f64 w0 (*.f64 M h)))
w0
(.f64 (.f64 M M) h)
(.f64 M (.f64 M h))
(*.f64 M M)
M
h
(*.f64 d d)
d
(*.f64 w0 l)
l

localize314.0ms (2.9%)

Memory

6.9MiB live, 255.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	90.4%	(.f64 D (.f64 w0 (.f64 (.f64 M M) h)))
✓	accuracy	87.9%	(.f64 (.f64 M M) h)
✓	accuracy	81.9%	(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D (.f64 D (.f64 w0 (.f64 (.f64 M M) h)))) (.f64 d d)) (*.f64 w0 l)) l)
✓	accuracy	81.1%	(/.f64 (.f64 D (.f64 D (.f64 w0 (.f64 (.f64 M M) h)))) (.f64 d d))
✓	accuracy	93.3%	(/.f64 h (.f64 (.f64 d d) l))
✓	accuracy	90.7%	(.f64 M (/.f64 h (.f64 (*.f64 d d) l)))
✓	accuracy	88.2%	(.f64 (.f64 d d) l)
✓	accuracy	82.6%	(fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 (.f64 d d) l)))) #s(literal 1/8 binary64)) #s(literal -1 binary64))
✓	accuracy	89.1%	(.f64 (.f64 D D) h)
✓	accuracy	88.2%	(.f64 (.f64 d d) l)
✓	accuracy	85.0%	(fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
✓	accuracy	76.8%	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (*.f64 d d) l))
✓	accuracy	89.8%	(.f64 (.f64 (*.f64 M M) h) D)
✓	accuracy	88.2%	(.f64 (.f64 d d) l)
✓	accuracy	87.9%	(.f64 (.f64 M M) h)
✓	accuracy	79.3%	(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 (*.f64 d d) l))
✓	accuracy	89.8%	(.f64 (.f64 (*.f64 M M) h) D)
✓	accuracy	88.2%	(.f64 (.f64 d d) l)
✓	accuracy	87.9%	(.f64 (.f64 M M) h)
✓	accuracy	79.2%	(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (.f64 M M) h) D) D)) (.f64 (*.f64 d d) l))

Samples

91.0ms

256×

valid

Compiler

Compiled 513 to 50 computations (90.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 39.0ms (68.6% of total)

ival-div: 9.0ms (15.8% of total)

ival-add: 3.0ms (5.3% of total)

ival-sqrt: 2.0ms (3.5% of total)

ival-sub: 1.0ms (1.8% of total)

exact: 1.0ms (1.8% of total)

ival-neg: 1.0ms (1.8% of total)

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

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

series67.0ms (0.6%)

Memory

14.0MiB live, 89.6MiB allocated

Counts

14 → 660

Calls

Call 1

Inputs
#<alt (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (.f64 M M) h) D) D)) (.f64 (*.f64 d d) l))>
#<alt (.f64 (.f64 M M) h)>
#<alt (.f64 (.f64 d d) l)>
#<alt (.f64 (.f64 (*.f64 M M) h) D)>
#<alt (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 (*.f64 d d) l))>
#<alt (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (*.f64 d d) l))>
#<alt (fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))>
#<alt (.f64 (.f64 D D) h)>
#<alt (fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 (.f64 d d) l)))) #s(literal 1/8 binary64)) #s(literal -1 binary64))>
#<alt (.f64 M (/.f64 h (.f64 (*.f64 d d) l)))>
#<alt (/.f64 h (.f64 (.f64 d d) l))>
#<alt (/.f64 (.f64 D (.f64 D (.f64 w0 (.f64 (.f64 M M) h)))) (.f64 d d))>
#<alt (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D (.f64 D (.f64 w0 (.f64 (.f64 M M) h)))) (.f64 d d)) (*.f64 w0 l)) l)>
#<alt (.f64 D (.f64 w0 (.f64 (.f64 M M) h)))>

Outputs
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow M 2) h)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* D (* (pow M 2) h))>
#<alt (* D (* (pow M 2) h))>
#<alt (* D (* (pow M 2) h))>
#<alt (* D (* (pow M 2) h))>
#<alt (* D (* (pow M 2) h))>
#<alt (* D (* (pow M 2) h))>
#<alt (* D (* (pow M 2) h))>
#<alt (* D (* (pow M 2) h))>
#<alt (* D (* (pow M 2) h))>
#<alt (* D (* (pow M 2) h))>
#<alt (* D (* (pow M 2) h))>
#<alt (* D (* (pow M 2) h))>
#<alt (* D (* (pow M 2) h))>
#<alt (* D (* (pow M 2) h))>
#<alt (* D (* (pow M 2) h))>
#<alt (* D (* (pow M 2) h))>
#<alt (* D (* (pow M 2) h))>
#<alt (* D (* (pow M 2) h))>
#<alt (* D (* (pow M 2) h))>
#<alt (* D (* (pow M 2) h))>
#<alt (* D (* (pow M 2) h))>
#<alt (* D (* (pow M 2) h))>
#<alt (* D (* (pow M 2) h))>
#<alt (* D (* (pow M 2) h))>
#<alt (* D (* (pow M 2) h))>
#<alt (* D (* (pow M 2) h))>
#<alt (* D (* (pow M 2) h))>
#<alt (* D (* (pow M 2) h))>
#<alt (* D (* (pow M 2) h))>
#<alt (* D (* (pow M 2) h))>
#<alt (* D (* (pow M 2) h))>
#<alt (* D (* (pow M 2) h))>
#<alt (* D (* (pow M 2) h))>
#<alt (* D (* (pow M 2) h))>
#<alt (* D (* (pow M 2) h))>
#<alt (* D (* (pow M 2) h))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
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#<alt (/ (* w0 (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))) l)>
#<alt (/ (* w0 (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))) l)>
#<alt (/ (* w0 (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))) l)>
#<alt (* -1 (/ (* w0 (+ (* -1 l) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))) l))>
#<alt (* -1 (/ (* w0 (+ (* -1 l) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))) l))>
#<alt (* -1 (/ (* w0 (+ (* -1 l) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))) l))>
#<alt (* -1 (/ (* w0 (+ (* -1 l) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))) l))>
#<alt w0>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))>
#<alt (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))>
#<alt (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))>
#<alt (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))>
#<alt (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))>
#<alt (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))>
#<alt (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))>
#<alt w0>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))>
#<alt (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h)))>
#<alt (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h)))>
#<alt (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h)))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))>
#<alt (* -1 (* h (+ (* -1 (/ w0 h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))))))>
#<alt (* -1 (* h (+ (* -1 (/ w0 h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))))))>
#<alt (* -1 (* h (+ (* -1 (/ w0 h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))>
#<alt (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2))>
#<alt (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2))>
#<alt (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2))>
#<alt w0>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt w0>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))>
#<alt (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))) (* l w0)) l)>
#<alt (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))) (* l w0)) l)>
#<alt (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))) (* l w0)) l)>
#<alt w0>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt w0>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>
#<alt (* D (* (pow M 2) (* h w0)))>

Calls

165 calls:

Time	Variable		Point	Expression
14.0ms	h	@	0	(* D (* w0 (* (* M M) h)))
4.0ms	h	@	-inf	(/ (* -1/8 (* (* D D) h)) (* (* d d) l))
3.0ms	l	@	0	(/ (+ (* -1/8 (/ (* D (* D (* w0 (* (* M M) h)))) (* d d))) (* w0 l)) l)
1.0ms	h	@	0	(/ (* -1/8 (* (* D D) h)) (* (* d d) l))
1.0ms	w0	@	-inf	(/ (+ (* -1/8 (/ (* D (* D (* w0 (* (* M M) h)))) (* d d))) (* w0 l)) l)

rewrite316.0ms (3%)

Memory

11.2MiB live, 435.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 032×	`lower-fma.f32`
6 026×	`lower-fma.f64`
5 746×	`lower-*.f32`
5 710×	`lower-*.f64`
3 874×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	167
0	68	167
1	232	167
2	1625	157
0	8466	155

Stop Event

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

Counts

14 → 577

Calls

Call 1

Inputs
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (.f64 M M) h) D) D)) (.f64 (*.f64 d d) l))
(.f64 (.f64 M M) h)
(.f64 (.f64 d d) l)
(.f64 (.f64 (*.f64 M M) h) D)
(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 (*.f64 d d) l))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (*.f64 d d) l))
(fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(.f64 (.f64 D D) h)
(fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 (.f64 d d) l)))) #s(literal 1/8 binary64)) #s(literal -1 binary64))
(.f64 M (/.f64 h (.f64 (*.f64 d d) l)))
(/.f64 h (.f64 (.f64 d d) l))
(/.f64 (.f64 D (.f64 D (.f64 w0 (.f64 (.f64 M M) h)))) (.f64 d d))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D (.f64 D (.f64 w0 (.f64 (.f64 M M) h)))) (.f64 d d)) (*.f64 w0 l)) l)
(.f64 D (.f64 w0 (.f64 (.f64 M M) h)))

Outputs
(exp.f64 (.f64 (log.f64 (.f64 (.f64 d #s(literal 4 binary64)) (/.f64 (.f64 d l) (.f64 D (.f64 (.f64 M (.f64 M h)) D))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 D (.f64 (.f64 (.f64 M (.f64 M h)) D) #s(literal -1/4 binary64))) (.f64 d (*.f64 d l))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 d (.f64 d (neg.f64 l)))) (/.f64 (.f64 D (.f64 (.f64 (.f64 M (.f64 M h)) D) #s(literal -1/4 binary64))) (.f64 d (*.f64 d l))))
(neg.f64 (/.f64 (.f64 D (.f64 (.f64 (.f64 M (.f64 M h)) D) #s(literal -1/4 binary64))) (.f64 d (*.f64 d l))))
(/.f64 #s(literal 1/4 binary64) (/.f64 (.f64 d (.f64 d l)) (.f64 D (.f64 (.f64 M (.f64 M h)) D))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 D (.f64 (.f64 M (.f64 M h)) D))) (.f64 d (*.f64 d l)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 d #s(literal 4 binary64)) (/.f64 (.f64 d l) (.f64 D (.f64 (.f64 M (*.f64 M h)) D)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (.f64 d #s(literal 4 binary64)) (/.f64 (.f64 d l) (.f64 D (.f64 (.f64 M (*.f64 M h)) D)))))))
(/.f64 #s(literal 1 binary64) (/.f64 l (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 d d)) (.f64 D (.f64 (.f64 M (.f64 M h)) D)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d d) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d l) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 D (.f64 (.f64 M (.f64 M h)) D))) d)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d d) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 D (.f64 (.f64 M (.f64 M h)) D))) l)))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 d #s(literal 4 binary64)) (/.f64 (.f64 d l) (.f64 D (.f64 (.f64 M (*.f64 M h)) D))))))
(/.f64 (.f64 D (.f64 (.f64 (.f64 M (.f64 M h)) D) #s(literal -1/4 binary64))) (.f64 d (*.f64 d (neg.f64 l))))
(/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 d d)) (/.f64 l (.f64 D (.f64 (.f64 M (*.f64 M h)) D))))
(/.f64 (/.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) l) (.f64 (.f64 d d) #s(literal 4 binary64)))
(/.f64 (/.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) (.f64 (.f64 d d) #s(literal 4 binary64))) l)
(/.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) (.f64 d d))) (neg.f64 l))
(/.f64 (/.f64 #s(literal 1/4 binary64) l) (/.f64 (.f64 d d) (.f64 D (.f64 (.f64 M (*.f64 M h)) D))))
(/.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 d d)) (.f64 D (.f64 (.f64 M (.f64 M h)) D))) l)
(/.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) l)) (.f64 d d))
(/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 D (.f64 (.f64 M (.f64 M h)) D))) d) (.f64 d l))
(/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 D (.f64 (.f64 M (.f64 M h)) D))) l) (.f64 d d))
(/.f64 (neg.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) (.f64 d d)))) l)
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 d d)) (.f64 D (.f64 (.f64 M (.f64 M h)) D)))) (neg.f64 l))
(/.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) l))) (.f64 d (neg.f64 d)))
(/.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 D (.f64 (.f64 M (.f64 M h)) D))) d)) (.f64 d (neg.f64 l)))
(/.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 D (.f64 (.f64 M (.f64 M h)) D))) l)) (.f64 d (neg.f64 d)))
(pow.f64 (.f64 (.f64 d #s(literal 4 binary64)) (/.f64 (.f64 d l) (.f64 D (.f64 (.f64 M (*.f64 M h)) D)))) #s(literal -1 binary64))
(.f64 #s(literal 1/4 binary64) (/.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) (.f64 d (*.f64 d l))))
(.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) (/.f64 #s(literal 1/4 binary64) (.f64 d (*.f64 d l))))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 D (.f64 (.f64 M (.f64 M h)) D))) (/.f64 #s(literal 1 binary64) (.f64 d (.f64 d l))))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) (.f64 d (.f64 d l)))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 D (.f64 (.f64 (.f64 M (.f64 M h)) D) #s(literal -1/4 binary64))) (.f64 d (.f64 d l))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 d #s(literal 4 binary64)) (/.f64 (.f64 d l) (.f64 D (.f64 (.f64 M (.f64 M h)) D)))))))
(.f64 (.f64 D (.f64 (.f64 (.f64 M (.f64 M h)) D) #s(literal -1/4 binary64))) (/.f64 #s(literal -1 binary64) (.f64 d (.f64 d l))))
(.f64 (/.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) (.f64 d d)) (/.f64 #s(literal 1/4 binary64) l))
(.f64 (/.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) (.f64 d d)) (pow.f64 (*.f64 l #s(literal 4 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 d d)) (/.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) l))
(.f64 (/.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) l) (/.f64 #s(literal 1/4 binary64) (.f64 d d)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 d (.f64 d l))) (.f64 #s(literal 1/4 binary64) (.f64 D (.f64 (.f64 M (.f64 M h)) D))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 d (.f64 d l))) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 D (.f64 (.f64 (.f64 M (.f64 M h)) D) #s(literal -1/4 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) (.f64 (*.f64 d d) #s(literal 4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 d d)) (pow.f64 (/.f64 l (.f64 #s(literal 1/4 binary64) (.f64 D (.f64 (.f64 M (*.f64 M h)) D)))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M (.f64 M h)) D)) (/.f64 D (.f64 d (*.f64 d l))))
(.f64 (/.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) (.f64 (*.f64 d d) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) l))
(.f64 (/.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) (.f64 d (*.f64 d l))) #s(literal 1/4 binary64))
(.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) (*.f64 d d))) (/.f64 #s(literal -1 binary64) l))
(.f64 (/.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) d) (/.f64 #s(literal 1/4 binary64) (.f64 d l)))
(.f64 (/.f64 #s(literal 1/4 binary64) d) (/.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) (.f64 d l)))
(.f64 (/.f64 #s(literal 1/4 binary64) l) (/.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) (.f64 d d)))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M (.f64 M h)) D)) d) (/.f64 D (.f64 d l)))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M (.f64 M h)) D)) (.f64 d d)) (/.f64 D l))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M (.f64 M h)) D)) l) (/.f64 D (.f64 d d)))
(.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 (.f64 d l) (.f64 #s(literal 1/4 binary64) (.f64 D (.f64 (.f64 M (*.f64 M h)) D)))) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 d d)) (.f64 D (.f64 (.f64 M (*.f64 M h)) D))) (/.f64 #s(literal 1 binary64) l))
(.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) l)) (/.f64 #s(literal 1 binary64) (*.f64 d d)))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 D (.f64 (.f64 M (.f64 M h)) D))) d) (/.f64 #s(literal 1 binary64) (*.f64 d l)))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 D (.f64 (.f64 M (.f64 M h)) D))) l) (/.f64 #s(literal 1 binary64) (*.f64 d d)))
(.f64 (pow.f64 (/.f64 d (.f64 D (.f64 (.f64 M (.f64 M h)) D))) #s(literal -1 binary64)) (pow.f64 (.f64 (*.f64 d l) #s(literal 4 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 d #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d l) (.f64 D (.f64 (.f64 M (*.f64 M h)) D))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 d (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M (.f64 M h)) D))) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d l) D) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 l #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) (*.f64 d d)))
(.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M (.f64 M h)) D))) #s(literal -1 binary64)) (pow.f64 (/.f64 l D) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 l (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M (.f64 M h)) D))) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 d d) D) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (.f64 d #s(literal 4 binary64)) (/.f64 (.f64 d l) (.f64 D (.f64 (.f64 M (.f64 M h)) D)))) #s(literal -1/2 binary64)) (pow.f64 (.f64 (.f64 d #s(literal 4 binary64)) (/.f64 (.f64 d l) (.f64 D (.f64 (.f64 M (*.f64 M h)) D)))) #s(literal -1/2 binary64)))
(.f64 M (.f64 M h))
(.f64 (.f64 M M) h)
(.f64 h (.f64 M M))
(.f64 (.f64 M h) M)
(-.f64 #s(literal 0 binary64) (.f64 d (.f64 d (neg.f64 l))))
(neg.f64 (.f64 d (.f64 d (neg.f64 l))))
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(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0))) (.f64 (.f64 d d) (.f64 d d))) (.f64 l (.f64 w0 (.f64 l w0))))) (neg.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 d d)) (*.f64 l w0)) l)))
(/.f64 (/.f64 (fma.f64 (.f64 l w0) (.f64 l (.f64 w0 (.f64 l w0))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)))) (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d))))) l) (fma.f64 (.f64 l w0) (fma.f64 l w0 (.f64 (.f64 D #s(literal 1/8 binary64)) (/.f64 (.f64 (.f64 M (.f64 M h)) (.f64 D w0)) (.f64 d d)))) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0))) (.f64 (.f64 d d) (*.f64 d d)))))
(/.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0))) (.f64 (.f64 d d) (.f64 d d))) (.f64 l (.f64 w0 (.f64 l w0)))) l) (-.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 d d)) (.f64 l w0)))
(/.f64 (neg.f64 (/.f64 (fma.f64 (.f64 l w0) (.f64 l (.f64 w0 (.f64 l w0))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)))) (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d))))) l)) (neg.f64 (fma.f64 (.f64 l w0) (fma.f64 l w0 (.f64 (.f64 D #s(literal 1/8 binary64)) (/.f64 (.f64 (.f64 M (.f64 M h)) (.f64 D w0)) (.f64 d d)))) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0))) (.f64 (.f64 d d) (*.f64 d d))))))
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0))) (.f64 (.f64 d d) (.f64 d d))) (.f64 l (.f64 w0 (.f64 l w0)))) l)) (neg.f64 (-.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 d d)) (.f64 l w0))))
(pow.f64 (/.f64 l (fma.f64 l w0 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (*.f64 d d)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 l w0 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 d d))) l))
(.f64 #s(literal -1 binary64) (/.f64 (fma.f64 l w0 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 d d))) (neg.f64 l)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 l (fma.f64 l w0 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 d d)))))))
(.f64 (fma.f64 l w0 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 d d))) (/.f64 #s(literal 1 binary64) l))
(.f64 (-.f64 (.f64 (.f64 D #s(literal 1/8 binary64)) (/.f64 (.f64 (.f64 M (.f64 M h)) (.f64 D w0)) (.f64 d d))) (*.f64 l w0)) (/.f64 #s(literal -1 binary64) l))
(.f64 (fma.f64 (.f64 l w0) (.f64 l (.f64 w0 (.f64 l w0))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)))) (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d))))) (/.f64 #s(literal 1 binary64) (.f64 l (fma.f64 (.f64 l w0) (fma.f64 l w0 (.f64 (.f64 D #s(literal 1/8 binary64)) (/.f64 (.f64 (.f64 M (.f64 M h)) (.f64 D w0)) (.f64 d d)))) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0))) (.f64 (.f64 d d) (*.f64 d d)))))))
(.f64 (fma.f64 (.f64 l w0) (.f64 l (.f64 w0 (.f64 l w0))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)))) (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 l w0) (fma.f64 l w0 (.f64 (.f64 D #s(literal 1/8 binary64)) (/.f64 (.f64 (.f64 M (.f64 M h)) (.f64 D w0)) (.f64 d d)))) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0))) (.f64 (.f64 d d) (*.f64 d d)))) l)))
(.f64 (/.f64 #s(literal 1 binary64) l) (fma.f64 l w0 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 d d))))
(.f64 (-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0))) (.f64 (.f64 d d) (.f64 d d))) (.f64 l (.f64 w0 (.f64 l w0)))) (/.f64 #s(literal 1 binary64) (.f64 l (-.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 d d)) (.f64 l w0)))))
(.f64 (-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0))) (.f64 (.f64 d d) (.f64 d d))) (.f64 l (.f64 w0 (.f64 l w0)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 d d)) (.f64 l w0)) l)))
(.f64 (/.f64 (fma.f64 (.f64 l w0) (.f64 l (.f64 w0 (.f64 l w0))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)))) (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d))))) l) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 l w0) (fma.f64 l w0 (.f64 (.f64 D #s(literal 1/8 binary64)) (/.f64 (.f64 (.f64 M (.f64 M h)) (.f64 D w0)) (.f64 d d)))) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0))) (.f64 (.f64 d d) (.f64 d d))))))
(.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0))) (.f64 (.f64 d d) (.f64 d d))) (.f64 l (.f64 w0 (.f64 l w0)))) l) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 d d)) (*.f64 l w0))))
(.f64 (pow.f64 (/.f64 l (fma.f64 (.f64 l w0) (.f64 l (.f64 w0 (.f64 l w0))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)))) (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 l w0) (fma.f64 l w0 (.f64 (.f64 D #s(literal 1/8 binary64)) (/.f64 (.f64 (.f64 M (.f64 M h)) (.f64 D w0)) (.f64 d d)))) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0))) (.f64 (.f64 d d) (.f64 d d))))))
(.f64 (pow.f64 (/.f64 l (-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0))) (.f64 (.f64 d d) (.f64 d d))) (.f64 l (.f64 w0 (.f64 l w0))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 d d)) (*.f64 l w0))))
(.f64 (pow.f64 (/.f64 l (fma.f64 l w0 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 d d)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 l (fma.f64 l w0 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (*.f64 d d)))) #s(literal -1/2 binary64)))
(.f64 (.f64 M (.f64 M h)) (.f64 D w0))
(.f64 D (.f64 (.f64 M M) (.f64 h w0)))
(.f64 (.f64 (.f64 M (.f64 M h)) D) w0)
(.f64 w0 (.f64 (.f64 M (.f64 M h)) D))
(.f64 (.f64 (.f64 M M) (.f64 h w0)) D)
(.f64 (.f64 D w0) (.f64 M (.f64 M h)))
(.f64 (.f64 (.f64 M M) w0) (.f64 h D))
(.f64 (.f64 D (.f64 (.f64 M M) w0)) h)
(.f64 (.f64 (.f64 D w0) M) (.f64 M h))
(.f64 (.f64 (.f64 D w0) (.f64 M M)) h)
(.f64 (.f64 (.f64 D w0) h) (.f64 M M))

simplify276.0ms (2.6%)

Memory

5.6MiB live, 397.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 202×	`lower-*.f64`
7 202×	`lower-*.f32`
5 028×	`lower-fma.f64`
5 028×	`lower-fma.f32`
4 092×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	8662
1	364	8662
2	1412	8662
3	5011	8662
0	8589	8515

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 653

Calls

Call 1

Inputs
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
(/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2))))
(/ (* w0 (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))) l)
(/ (* w0 (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))) l)
(/ (* w0 (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))) l)
(/ (* w0 (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))) l)
(/ (* w0 (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))) l)
(/ (* w0 (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))) l)
(/ (* w0 (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))) l)
(/ (* w0 (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))) l)
(* -1 (/ (* w0 (+ (* -1 l) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))) l))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h)))
(* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h)))
(* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h)))
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(* -1 (* h (+ (* -1 (/ w0 h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))))))
(* -1 (* h (+ (* -1 (/ w0 h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))))))
(* -1 (* h (+ (* -1 (/ w0 h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))))))
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(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2))
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2))
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))) (* l w0)) l)
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))) (* l w0)) l)
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))) (* l w0)) l)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))
(* D (* (pow M 2) (* h w0)))

Outputs
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h))) (.f64 d (*.f64 d l)))
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(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h))) (.f64 d (*.f64 d l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h))) (.f64 d (*.f64 d l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
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(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h))) (.f64 d (*.f64 d l)))
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(* D (* (pow M 2) (* h w0)))
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simplify131.0ms (1.2%)

Memory

19.6MiB live, 172.3MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1138	15625
1	1139	15625
0	1139	15625

Stop Event

1×	saturated
1×	saturated

Counts

577 → 0

Calls

Call 1

Inputs
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Outputs
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(/.f64 (neg.f64 (fma.f64 (.f64 l w0) (.f64 l (.f64 w0 (.f64 l w0))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)))) (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d)))))) (neg.f64 (.f64 l (fma.f64 (.f64 l w0) (fma.f64 l w0 (.f64 (.f64 D #s(literal 1/8 binary64)) (/.f64 (.f64 (.f64 M (.f64 M h)) (.f64 D w0)) (.f64 d d)))) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0))) (.f64 (.f64 d d) (.f64 d d)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 l w0) (.f64 l (.f64 w0 (.f64 l w0))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)))) (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d)))))) (neg.f64 (.f64 (fma.f64 (.f64 l w0) (fma.f64 l w0 (.f64 (.f64 D #s(literal 1/8 binary64)) (/.f64 (.f64 (.f64 M (.f64 M h)) (.f64 D w0)) (.f64 d d)))) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0))) (.f64 (.f64 d d) (.f64 d d)))) l)))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0))) (.f64 (.f64 d d) (.f64 d d))) (.f64 l (.f64 w0 (.f64 l w0))))) (neg.f64 (.f64 l (-.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 d d)) (*.f64 l w0)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0))) (.f64 (.f64 d d) (.f64 d d))) (.f64 l (.f64 w0 (.f64 l w0))))) (neg.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 d d)) (*.f64 l w0)) l)))
(/.f64 (/.f64 (fma.f64 (.f64 l w0) (.f64 l (.f64 w0 (.f64 l w0))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)))) (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d))))) l) (fma.f64 (.f64 l w0) (fma.f64 l w0 (.f64 (.f64 D #s(literal 1/8 binary64)) (/.f64 (.f64 (.f64 M (.f64 M h)) (.f64 D w0)) (.f64 d d)))) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0))) (.f64 (.f64 d d) (*.f64 d d)))))
(/.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0))) (.f64 (.f64 d d) (.f64 d d))) (.f64 l (.f64 w0 (.f64 l w0)))) l) (-.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 d d)) (.f64 l w0)))
(/.f64 (neg.f64 (/.f64 (fma.f64 (.f64 l w0) (.f64 l (.f64 w0 (.f64 l w0))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)))) (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d))))) l)) (neg.f64 (fma.f64 (.f64 l w0) (fma.f64 l w0 (.f64 (.f64 D #s(literal 1/8 binary64)) (/.f64 (.f64 (.f64 M (.f64 M h)) (.f64 D w0)) (.f64 d d)))) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0))) (.f64 (.f64 d d) (*.f64 d d))))))
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0))) (.f64 (.f64 d d) (.f64 d d))) (.f64 l (.f64 w0 (.f64 l w0)))) l)) (neg.f64 (-.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 d d)) (.f64 l w0))))
(pow.f64 (/.f64 l (fma.f64 l w0 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (*.f64 d d)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 l w0 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 d d))) l))
(.f64 #s(literal -1 binary64) (/.f64 (fma.f64 l w0 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 d d))) (neg.f64 l)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 l (fma.f64 l w0 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 d d)))))))
(.f64 (fma.f64 l w0 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 d d))) (/.f64 #s(literal 1 binary64) l))
(.f64 (-.f64 (.f64 (.f64 D #s(literal 1/8 binary64)) (/.f64 (.f64 (.f64 M (.f64 M h)) (.f64 D w0)) (.f64 d d))) (*.f64 l w0)) (/.f64 #s(literal -1 binary64) l))
(.f64 (fma.f64 (.f64 l w0) (.f64 l (.f64 w0 (.f64 l w0))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)))) (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d))))) (/.f64 #s(literal 1 binary64) (.f64 l (fma.f64 (.f64 l w0) (fma.f64 l w0 (.f64 (.f64 D #s(literal 1/8 binary64)) (/.f64 (.f64 (.f64 M (.f64 M h)) (.f64 D w0)) (.f64 d d)))) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0))) (.f64 (.f64 d d) (*.f64 d d)))))))
(.f64 (fma.f64 (.f64 l w0) (.f64 l (.f64 w0 (.f64 l w0))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)))) (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 l w0) (fma.f64 l w0 (.f64 (.f64 D #s(literal 1/8 binary64)) (/.f64 (.f64 (.f64 M (.f64 M h)) (.f64 D w0)) (.f64 d d)))) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0))) (.f64 (.f64 d d) (*.f64 d d)))) l)))
(.f64 (/.f64 #s(literal 1 binary64) l) (fma.f64 l w0 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 d d))))
(.f64 (-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0))) (.f64 (.f64 d d) (.f64 d d))) (.f64 l (.f64 w0 (.f64 l w0)))) (/.f64 #s(literal 1 binary64) (.f64 l (-.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 d d)) (.f64 l w0)))))
(.f64 (-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0))) (.f64 (.f64 d d) (.f64 d d))) (.f64 l (.f64 w0 (.f64 l w0)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 d d)) (.f64 l w0)) l)))
(.f64 (/.f64 (fma.f64 (.f64 l w0) (.f64 l (.f64 w0 (.f64 l w0))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)))) (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d))))) l) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 l w0) (fma.f64 l w0 (.f64 (.f64 D #s(literal 1/8 binary64)) (/.f64 (.f64 (.f64 M (.f64 M h)) (.f64 D w0)) (.f64 d d)))) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0))) (.f64 (.f64 d d) (.f64 d d))))))
(.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0))) (.f64 (.f64 d d) (.f64 d d))) (.f64 l (.f64 w0 (.f64 l w0)))) l) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 d d)) (*.f64 l w0))))
(.f64 (pow.f64 (/.f64 l (fma.f64 (.f64 l w0) (.f64 l (.f64 w0 (.f64 l w0))) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)))) (.f64 (.f64 d d) (.f64 (.f64 d d) (.f64 d d)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 l w0) (fma.f64 l w0 (.f64 (.f64 D #s(literal 1/8 binary64)) (/.f64 (.f64 (.f64 M (.f64 M h)) (.f64 D w0)) (.f64 d d)))) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0))) (.f64 (.f64 d d) (.f64 d d))))))
(.f64 (pow.f64 (/.f64 l (-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0))) (.f64 (.f64 d d) (.f64 d d))) (.f64 l (.f64 w0 (.f64 l w0))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 d d)) (*.f64 l w0))))
(.f64 (pow.f64 (/.f64 l (fma.f64 l w0 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (.f64 d d)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 l (fma.f64 l w0 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D (.f64 (.f64 M (.f64 M h)) D)) w0)) (*.f64 d d)))) #s(literal -1/2 binary64)))
(.f64 (.f64 M (.f64 M h)) (.f64 D w0))
(.f64 D (.f64 (.f64 M M) (.f64 h w0)))
(.f64 (.f64 (.f64 M (.f64 M h)) D) w0)
(.f64 w0 (.f64 (.f64 M (.f64 M h)) D))
(.f64 (.f64 (.f64 M M) (.f64 h w0)) D)
(.f64 (.f64 D w0) (.f64 M (.f64 M h)))
(.f64 (.f64 (.f64 M M) w0) (.f64 h D))
(.f64 (.f64 D (.f64 (.f64 M M) w0)) h)
(.f64 (.f64 (.f64 D w0) M) (.f64 M h))
(.f64 (.f64 (.f64 D w0) (.f64 M M)) h)
(.f64 (.f64 (.f64 D w0) h) (.f64 M M))

eval170.0ms (1.6%)

Memory: 10.7MiB live, 273.4MiB allocated
Compiler: Compiled 33 030 to 128 computations (99.6% saved)

prune18.0ms (0.2%)

Memory

2.4MiB live, 41.6MiB allocated

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	1 612	6	1 618
Fresh	1	3	4
Picked	3	2	5
Done	1	4	5
Total	1 617	15	1 632

Accuracy

90.1%

Counts

1 632 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.7%	(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0)
✓	55.8%	(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D (.f64 D (.f64 w0 (.f64 (.f64 M M) h)))) (.f64 d d)) (*.f64 w0 l)) l)
	33.9%	(/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (/.f64 (.f64 w0 (.f64 (.f64 M M) h)) l)) (.f64 w0 (.f64 d d))) (.f64 d d))
▶	14.9%	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D (.f64 D (.f64 (.f64 M M) w0))))) (.f64 d (.f64 d l)))
	60.1%	(.f64 (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) (.f64 h #s(literal -1/8 binary64))) (.f64 d (*.f64 d l))) #s(literal 1 binary64)) w0)
▶	60.6%	(.f64 (fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 d (*.f64 d l))))) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (neg.f64 w0))
	12.7%	(.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w0 (.f64 (.f64 M M) h))) (.f64 (.f64 d d) l)))
▶	68.2%	(.f64 w0 (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) h) #s(literal 1 binary64)))
	40.6%	(.f64 w0 (/.f64 (fma.f64 (.f64 D D) (.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal -1/8 binary64) l)) (.f64 d d)) (*.f64 d d)))
✓	13.5%	(.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 (.f64 d d) l)))
▶	13.7%	(.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 d (.f64 d l))))
▶	63.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h))) (.f64 d (.f64 d l))))))
✓	70.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (.f64 d d) l)))))
✓	82.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
✓	69.2%	(*.f64 w0 #s(literal 1 binary64))

Compiler

Compiled 620 to 397 computations (36% saved)

simplify193.0ms (1.8%)

Memory

-23.5MiB live, 258.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h))) (.f64 d (*.f64 d l)))
✓	cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h))) (.f64 d (*.f64 d l)))))
✓	cost-diff	0	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h))) (.f64 d (.f64 d l))))))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h))) (.f64 d (*.f64 d l))))
✓	cost-diff	0	(.f64 (.f64 M (.f64 M (/.f64 h (.f64 d (*.f64 d l))))) #s(literal 1/8 binary64))
✓	cost-diff	0	(*.f64 D D)
✓	cost-diff	0	(fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 d (.f64 d l))))) #s(literal 1/8 binary64)) #s(literal -1 binary64))
✓	cost-diff	128	(.f64 (fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 d (*.f64 d l))))) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (neg.f64 w0))
✓	cost-diff	0	(.f64 D (.f64 D (.f64 (.f64 M M) w0)))
✓	cost-diff	0	(.f64 h (.f64 D (.f64 D (.f64 (*.f64 M M) w0))))
✓	cost-diff	0	(.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D (.f64 D (.f64 (.f64 M M) w0)))))
✓	cost-diff	0	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D (.f64 D (.f64 (.f64 M M) w0))))) (.f64 d (.f64 d l)))
✓	cost-diff	0	(.f64 (.f64 (.f64 (.f64 M M) h) D) D)
✓	cost-diff	0	(.f64 (.f64 (.f64 (.f64 (*.f64 M M) h) D) D) #s(literal -1/8 binary64))
✓	cost-diff	0	(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 d (*.f64 d l)))
✓	cost-diff	0	(.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 d (.f64 d l))))
✓	cost-diff	0	(.f64 D (.f64 D (*.f64 M M)))
✓	cost-diff	0	(/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 (*.f64 d d) l))
✓	cost-diff	0	(fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 (.f64 d d) l)) (.f64 #s(literal -1/8 binary64) h) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 w0 (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) h) #s(literal 1 binary64)))

Rules

8 558×	`lower-*.f32`
8 504×	`lower-*.f64`
3 424×	`lower-/.f32`
3 414×	`lower-/.f64`
1 922×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	476
0	87	475
1	198	475
2	865	475
3	5066	475
0	8004	472

Stop Event

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

Calls

Call 1

Inputs
(.f64 w0 (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) h) #s(literal 1 binary64)))
w0
(fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 (.f64 d d) l)) (.f64 #s(literal -1/8 binary64) h) #s(literal 1 binary64))
(/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 (*.f64 d d) l))
(.f64 D (.f64 D (*.f64 M M)))
D
(.f64 D (.f64 M M))
(*.f64 M M)
M
(.f64 (.f64 d d) l)
(*.f64 d d)
d
l
(*.f64 #s(literal -1/8 binary64) h)
#s(literal -1/8 binary64)
h
#s(literal 1 binary64)
(.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 d (.f64 d l))))
w0
(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 d (*.f64 d l)))
(.f64 (.f64 (.f64 (.f64 (*.f64 M M) h) D) D) #s(literal -1/8 binary64))
(.f64 (.f64 (.f64 (.f64 M M) h) D) D)
(.f64 (.f64 (*.f64 M M) h) D)
(.f64 (.f64 M M) h)
(*.f64 M M)
M
h
D
#s(literal -1/8 binary64)
(.f64 d (.f64 d l))
d
(*.f64 d l)
l
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D (.f64 D (.f64 (.f64 M M) w0))))) (.f64 d (.f64 d l)))
(.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D (.f64 D (.f64 (.f64 M M) w0)))))
#s(literal -1/8 binary64)
(.f64 h (.f64 D (.f64 D (.f64 (*.f64 M M) w0))))
h
(.f64 D (.f64 D (.f64 (.f64 M M) w0)))
D
(.f64 D (.f64 (*.f64 M M) w0))
(.f64 (.f64 M M) w0)
(*.f64 M M)
M
w0
(.f64 d (.f64 d l))
d
(*.f64 d l)
l
(.f64 (fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 d (*.f64 d l))))) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (neg.f64 w0))
(fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 d (.f64 d l))))) #s(literal 1/8 binary64)) #s(literal -1 binary64))
(*.f64 D D)
D
(.f64 (.f64 M (.f64 M (/.f64 h (.f64 d (*.f64 d l))))) #s(literal 1/8 binary64))
(.f64 M (.f64 M (/.f64 h (.f64 d (.f64 d l)))))
M
(.f64 M (/.f64 h (.f64 d (*.f64 d l))))
(/.f64 h (.f64 d (.f64 d l)))
h
(.f64 d (.f64 d l))
d
(*.f64 d l)
l
#s(literal 1/8 binary64)
#s(literal -1 binary64)
(neg.f64 w0)
w0
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h))) (.f64 d (.f64 d l))))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h))) (.f64 d (*.f64 d l)))))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h))) (.f64 d (*.f64 d l))))
#s(literal 1 binary64)
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h))) (.f64 d (*.f64 d l)))
(.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 (*.f64 M M) h)))
(*.f64 D D)
D
(.f64 #s(literal 1/4 binary64) (.f64 (*.f64 M M) h))
#s(literal 1/4 binary64)
(.f64 (.f64 M M) h)
(*.f64 M M)
M
h
(.f64 d (.f64 d l))
d
(*.f64 d l)
l

Outputs
(.f64 w0 (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) h) #s(literal 1 binary64)))
(fma.f64 w0 (.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (*.f64 #s(literal -1/8 binary64) h)) w0)
w0
(fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 (.f64 d d) l)) (.f64 #s(literal -1/8 binary64) h) #s(literal 1 binary64))
(fma.f64 D (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D (.f64 M (.f64 M h)))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
(/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 (*.f64 d d) l))
(/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (*.f64 d l)))
(.f64 D (.f64 D (*.f64 M M)))
D
(.f64 D (.f64 M M))
(*.f64 M M)
M
(.f64 (.f64 d d) l)
(.f64 d (.f64 d l))
(*.f64 d d)
d
l
(*.f64 #s(literal -1/8 binary64) h)
#s(literal -1/8 binary64)
h
#s(literal 1 binary64)
(.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 d (.f64 d l))))
(.f64 w0 (.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) h)))
w0
(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 d (*.f64 d l)))
(.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (*.f64 #s(literal -1/8 binary64) h))
(.f64 (.f64 (.f64 (.f64 (*.f64 M M) h) D) D) #s(literal -1/8 binary64))
(.f64 D (.f64 #s(literal -1/8 binary64) (.f64 D (.f64 M (*.f64 M h)))))
(.f64 (.f64 (.f64 (.f64 M M) h) D) D)
(.f64 D (.f64 D (.f64 M (.f64 M h))))
(.f64 (.f64 (*.f64 M M) h) D)
(.f64 D (.f64 M (*.f64 M h)))
(.f64 (.f64 M M) h)
(.f64 M (.f64 M h))
(*.f64 M M)
M
h
D
#s(literal -1/8 binary64)
(.f64 d (.f64 d l))
d
(*.f64 d l)
l
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D (.f64 D (.f64 (.f64 M M) w0))))) (.f64 d (.f64 d l)))
(.f64 w0 (.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (.f64 #s(literal -1/8 binary64) h)))
(.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D (.f64 D (.f64 (.f64 M M) w0)))))
(.f64 (.f64 #s(literal -1/8 binary64) h) (.f64 w0 (.f64 D (.f64 D (.f64 M M)))))
#s(literal -1/8 binary64)
(.f64 h (.f64 D (.f64 D (.f64 (*.f64 M M) w0))))
(.f64 D (.f64 w0 (.f64 D (.f64 M (*.f64 M h)))))
h
(.f64 D (.f64 D (.f64 (.f64 M M) w0)))
(.f64 w0 (.f64 D (.f64 D (.f64 M M))))
D
(.f64 D (.f64 (*.f64 M M) w0))
(.f64 w0 (.f64 D (*.f64 M M)))
(.f64 (.f64 M M) w0)
(.f64 w0 (.f64 M M))
(*.f64 M M)
M
w0
(.f64 d (.f64 d l))
d
(*.f64 d l)
l
(.f64 (fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 d (*.f64 d l))))) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (neg.f64 w0))
(fma.f64 w0 (.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 d (.f64 d l))) (*.f64 #s(literal -1/8 binary64) h)) w0)
(fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 d (.f64 d l))))) #s(literal 1/8 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 D h) (/.f64 (.f64 D (.f64 M M)) (.f64 d (.f64 d l)))) #s(literal -1 binary64))
(*.f64 D D)
D
(.f64 (.f64 M (.f64 M (/.f64 h (.f64 d (*.f64 d l))))) #s(literal 1/8 binary64))
(/.f64 (.f64 M (.f64 #s(literal 1/8 binary64) (.f64 M h))) (.f64 d (*.f64 d l)))
(.f64 M (.f64 M (/.f64 h (.f64 d (.f64 d l)))))
(/.f64 (.f64 M (.f64 M h)) (.f64 d (.f64 d l)))
M
(.f64 M (/.f64 h (.f64 d (*.f64 d l))))
(/.f64 (.f64 M h) (.f64 d (*.f64 d l)))
(/.f64 h (.f64 d (.f64 d l)))
h
(.f64 d (.f64 d l))
d
(*.f64 d l)
l
#s(literal 1/8 binary64)
#s(literal -1 binary64)
(neg.f64 w0)
w0
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h))) (.f64 d (.f64 d l))))))
(.f64 w0 (sqrt.f64 (fma.f64 D (/.f64 (.f64 D (.f64 h (.f64 (.f64 M M) #s(literal -1/4 binary64)))) (.f64 d (*.f64 d l))) #s(literal 1 binary64))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h))) (.f64 d (*.f64 d l)))))
(sqrt.f64 (fma.f64 D (/.f64 (.f64 D (.f64 h (.f64 (.f64 M M) #s(literal -1/4 binary64)))) (.f64 d (.f64 d l))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h))) (.f64 d (*.f64 d l))))
(fma.f64 D (/.f64 (.f64 D (.f64 h (.f64 (.f64 M M) #s(literal -1/4 binary64)))) (.f64 d (.f64 d l))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h))) (.f64 d (*.f64 d l)))
(.f64 D (/.f64 (.f64 D (.f64 h (.f64 (.f64 M M) #s(literal 1/4 binary64)))) (.f64 d (*.f64 d l))))
(.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 (*.f64 M M) h)))
(.f64 D (.f64 D (.f64 h (.f64 (*.f64 M M) #s(literal 1/4 binary64)))))
(*.f64 D D)
D
(.f64 #s(literal 1/4 binary64) (.f64 (*.f64 M M) h))
(.f64 h (.f64 (*.f64 M M) #s(literal 1/4 binary64)))
#s(literal 1/4 binary64)
(.f64 (.f64 M M) h)
(.f64 M (.f64 M h))
(*.f64 M M)
M
h
(.f64 d (.f64 d l))
d
(*.f64 d l)
l

localize161.0ms (1.5%)

Memory

33.1MiB live, 225.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	91.2%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h))) (.f64 d (*.f64 d l)))))
✓	accuracy	87.9%	(.f64 (.f64 M M) h)
✓	accuracy	79.3%	(.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 (*.f64 M M) h)))
✓	accuracy	79.2%	(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h))) (.f64 d (*.f64 d l)))
✓	accuracy	95.4%	(.f64 M (.f64 M (/.f64 h (.f64 d (.f64 d l)))))
✓	accuracy	93.3%	(/.f64 h (.f64 d (.f64 d l)))
✓	accuracy	90.7%	(.f64 M (/.f64 h (.f64 d (*.f64 d l))))
✓	accuracy	82.6%	(fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 d (.f64 d l))))) #s(literal 1/8 binary64)) #s(literal -1 binary64))
✓	accuracy	92.0%	(.f64 D (.f64 (*.f64 M M) w0))
✓	accuracy	91.2%	(.f64 h (.f64 D (.f64 D (.f64 (*.f64 M M) w0))))
✓	accuracy	87.2%	(.f64 (.f64 M M) w0)
✓	accuracy	80.2%	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D (.f64 D (.f64 (.f64 M M) w0))))) (.f64 d (.f64 d l)))
✓	accuracy	94.1%	(.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 d (.f64 d l))))
✓	accuracy	89.8%	(.f64 (.f64 (*.f64 M M) h) D)
✓	accuracy	87.9%	(.f64 (.f64 M M) h)
✓	accuracy	79.3%	(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 d (*.f64 d l)))
✓	accuracy	92.4%	(.f64 D (.f64 D (*.f64 M M)))
✓	accuracy	88.9%	(.f64 D (.f64 M M))
✓	accuracy	88.2%	(.f64 (.f64 d d) l)
✓	accuracy	77.9%	(/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 (*.f64 d d) l))

Samples

88.0ms

256×

valid

Compiler

Compiled 482 to 52 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 42.0ms (72.2% of total)

ival-div: 8.0ms (13.7% of total)

ival-add: 2.0ms (3.4% of total)

ival-sqrt: 2.0ms (3.4% of total)

ival-neg: 2.0ms (3.4% of total)

ival-sub: 1.0ms (1.7% of total)

exact: 1.0ms (1.7% of total)

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

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

series52.0ms (0.5%)

Memory

-47.6MiB live, 51.5MiB allocated

Counts

19 → 840

Calls

Call 1

Inputs
#<alt (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 (*.f64 d d) l))>
#<alt (.f64 (.f64 d d) l)>
#<alt (.f64 D (.f64 M M))>
#<alt (.f64 D (.f64 D (*.f64 M M)))>
#<alt (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 d (*.f64 d l)))>
#<alt (.f64 (.f64 M M) h)>
#<alt (.f64 (.f64 (*.f64 M M) h) D)>
#<alt (.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 d (.f64 d l))))>
#<alt (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D (.f64 D (.f64 (.f64 M M) w0))))) (.f64 d (.f64 d l)))>
#<alt (.f64 (.f64 M M) w0)>
#<alt (.f64 h (.f64 D (.f64 D (.f64 (*.f64 M M) w0))))>
#<alt (.f64 D (.f64 (*.f64 M M) w0))>
#<alt (fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 d (.f64 d l))))) #s(literal 1/8 binary64)) #s(literal -1 binary64))>
#<alt (.f64 M (/.f64 h (.f64 d (*.f64 d l))))>
#<alt (/.f64 h (.f64 d (.f64 d l)))>
#<alt (.f64 M (.f64 M (/.f64 h (.f64 d (.f64 d l)))))>
#<alt (/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h))) (.f64 d (*.f64 d l)))>
#<alt (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 (*.f64 M M) h)))>
#<alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h))) (.f64 d (*.f64 d l)))))>

Outputs
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* (pow d 2) l)>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* D (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
#<alt (* (pow D 2) (pow M 2))>
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#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))>
#<alt (* 1/4 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* 1/4 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* 1/4 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* 1/4 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* 1/4 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* 1/4 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* 1/4 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* 1/4 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* 1/4 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* 1/4 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* 1/4 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* 1/4 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* 1/4 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* 1/4 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* 1/4 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* 1/4 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* 1/4 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* 1/4 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* 1/4 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* 1/4 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* 1/4 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* 1/4 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* 1/4 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* 1/4 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* 1/4 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* 1/4 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* 1/4 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* 1/4 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* 1/4 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* 1/4 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* 1/4 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* 1/4 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* 1/4 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* 1/4 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* 1/4 (* (pow D 2) (* (pow M 2) h)))>
#<alt (* 1/4 (* (pow D 2) (* (pow M 2) h)))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))>
#<alt (+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))>
#<alt (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))>
#<alt (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))>
#<alt (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))>
#<alt (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))>
#<alt (* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))>
#<alt (* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))>
#<alt (* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))>
#<alt (* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))>
#<alt (+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))>
#<alt (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))>
#<alt (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))>
#<alt (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))>
#<alt (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))>
#<alt (* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))>
#<alt (* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))>
#<alt (* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))>
#<alt (* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))>
#<alt (+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))>
#<alt (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))>
#<alt (* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))>
#<alt (* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))>
#<alt (* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))>
#<alt (* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))>
#<alt (* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))>
#<alt (* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))>
#<alt (* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))>
#<alt (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))>
#<alt (/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)>
#<alt (/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)>
#<alt (/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))>
#<alt (+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))>
#<alt (+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))>
#<alt (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))>
#<alt (/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)>
#<alt (/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)>
#<alt (/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))>
#<alt (+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))>
#<alt (+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))>

Calls

210 calls:

Time	Variable		Point	Expression
17.0ms	M	@	0	(/ (* D (* D (* M M))) (* (* d d) l))
1.0ms	l	@	0	(/ (* D (* D (* M M))) (* (* d d) l))
1.0ms	d	@	0	(/ (* D (* D (* M M))) (* (* d d) l))
1.0ms	h	@	inf	(* (* D D) (* 1/4 (* (* M M) h)))
1.0ms	l	@	inf	(/ (* D (* D (* M M))) (* (* d d) l))

rewrite270.0ms (2.5%)

Memory

36.6MiB live, 341.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 060×	`lower-*.f32`
6 014×	`lower-*.f64`
5 162×	`lower-/.f32`
5 152×	`lower-/.f64`
2 436×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	213
0	74	213
1	228	194
2	1659	194
0	8526	193

Stop Event

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

Counts

19 → 568

Calls

Call 1

Inputs
(/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 (*.f64 d d) l))
(.f64 (.f64 d d) l)
(.f64 D (.f64 M M))
(.f64 D (.f64 D (*.f64 M M)))
(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 d (*.f64 d l)))
(.f64 (.f64 M M) h)
(.f64 (.f64 (*.f64 M M) h) D)
(.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 d (.f64 d l))))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D (.f64 D (.f64 (.f64 M M) w0))))) (.f64 d (.f64 d l)))
(.f64 (.f64 M M) w0)
(.f64 h (.f64 D (.f64 D (.f64 (*.f64 M M) w0))))
(.f64 D (.f64 (*.f64 M M) w0))
(fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 d (.f64 d l))))) #s(literal 1/8 binary64)) #s(literal -1 binary64))
(.f64 M (/.f64 h (.f64 d (*.f64 d l))))
(/.f64 h (.f64 d (.f64 d l)))
(.f64 M (.f64 M (/.f64 h (.f64 d (.f64 d l)))))
(/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h))) (.f64 d (*.f64 d l)))
(.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 (*.f64 M M) h)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h))) (.f64 d (*.f64 d l)))))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 M M) (.f64 D D)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (neg.f64 (.f64 d (*.f64 d l)))))
(neg.f64 (/.f64 (neg.f64 (.f64 (.f64 M M) (.f64 D D))) (.f64 d (*.f64 d l))))
(/.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 d (*.f64 d l)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 M M) (*.f64 D D)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 M M) (*.f64 D D))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (/.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 d d)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 M M) (*.f64 D D))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 M M) (*.f64 D D))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 d d))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 M M) (*.f64 D D))))))
(/.f64 (neg.f64 (.f64 (.f64 M M) (.f64 D D))) (neg.f64 (.f64 d (*.f64 d l))))
(/.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 d d)) l)
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 M M) (.f64 D D)))) (neg.f64 (neg.f64 (.f64 d (*.f64 d l)))))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 d d))) (neg.f64 l))
(/.f64 (.f64 (.f64 (.f64 M M) (.f64 D D)) #s(literal 1 binary64)) (.f64 d (.f64 d l)))
(/.f64 (.f64 (/.f64 D (.f64 d d)) (.f64 D (.f64 M M))) l)
(/.f64 (.f64 D (.f64 D (/.f64 (.f64 M M) l))) (.f64 d d))
(/.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) d) (.f64 d l))
(/.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) l) (.f64 d d))
(/.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 d l)) d)
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 (.f64 M M) (.f64 D D))))) (neg.f64 (neg.f64 (neg.f64 (.f64 d (*.f64 d l))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 d d)))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 M M) (.f64 D D)) #s(literal 1 binary64))) (neg.f64 (.f64 d (.f64 d l))))
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(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64))) (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64)))) (.f64 (.f64 d (.f64 d l)) (.f64 d (.f64 d l))))))) (sqrt.f64 (neg.f64 (fma.f64 (.f64 D D) (.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal 1/4 binary64) (.f64 d (.f64 d l)))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64))) (.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64))) (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64))))) (.f64 (.f64 d (.f64 d l)) (.f64 (.f64 d (.f64 d l)) (.f64 d (.f64 d l)))))))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64))) (.f64 d (.f64 d l))) (fma.f64 (.f64 D D) (.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal 1/4 binary64) (.f64 d (.f64 d l)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64))) (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64)))) (.f64 (.f64 d (.f64 d l)) (.f64 d (.f64 d l))))))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 D D) (.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal 1/4 binary64) (.f64 d (.f64 d l)))) #s(literal 1 binary64)))))
(pow.f64 (fma.f64 (neg.f64 (.f64 D D)) (.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal 1/4 binary64) (.f64 d (.f64 d l)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (neg.f64 (.f64 D D)) (.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal 1/4 binary64) (.f64 d (.f64 d l)))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (fma.f64 (neg.f64 (.f64 D D)) (.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal 1/4 binary64) (.f64 d (.f64 d l)))) #s(literal 1 binary64)) (fma.f64 (neg.f64 (.f64 D D)) (.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal 1/4 binary64) (.f64 d (*.f64 d l)))) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64))) (neg.f64 (.f64 d (*.f64 d l)))))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64))) (.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64))) (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64))))) (.f64 (.f64 d (.f64 d l)) (.f64 (.f64 d (.f64 d l)) (.f64 d (.f64 d l))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64))) (.f64 d (.f64 d l))) (fma.f64 (.f64 D D) (.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal 1/4 binary64) (.f64 d (*.f64 d l)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64))) (.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64))) (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64))))) (.f64 (.f64 d (.f64 d l)) (.f64 (.f64 d (.f64 d l)) (.f64 d (.f64 d l))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64))) (.f64 d (.f64 d l))) (fma.f64 (.f64 D D) (.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal 1/4 binary64) (.f64 d (*.f64 d l)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64))) (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64)))) (.f64 (.f64 d (.f64 d l)) (.f64 d (.f64 d l)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 D D) (.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal 1/4 binary64) (.f64 d (*.f64 d l)))) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64))) (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64)))) (.f64 (.f64 d (.f64 d l)) (.f64 d (.f64 d l)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 D D) (.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal 1/4 binary64) (.f64 d (*.f64 d l)))) #s(literal 1 binary64)))))
(.f64 (pow.f64 (fma.f64 (neg.f64 (.f64 D D)) (.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal 1/4 binary64) (.f64 d (.f64 d l)))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (neg.f64 (.f64 D D)) (.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal 1/4 binary64) (.f64 d (*.f64 d l)))) #s(literal 1 binary64)) #s(literal 1/4 binary64)))

simplify409.0ms (3.8%)

Memory

3.6MiB live, 507.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 592×	`lower-fma.f64`
11 592×	`lower-fma.f32`
6 788×	`lower-*.f64`
6 788×	`lower-*.f32`
3 216×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	380	12184
1	1202	12167
2	5322	12161
3	7688	12161
0	8118	12037

Stop Event

1×	iter limit
1×	node limit

Counts

840 → 840

Calls

Call 1

Inputs
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* (pow d 2) l)
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* D (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* (pow D 2) (pow M 2))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* (pow M 2) h)
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* D (* (pow M 2) h))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))
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(* 1/4 (* (pow D 2) (* (pow M 2) h)))
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(* 1/4 (* (pow D 2) (* (pow M 2) h)))
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(* 1/4 (* (pow D 2) (* (pow M 2) h)))
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(* 1/4 (* (pow D 2) (* (pow M 2) h)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))

Outputs
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 (*.f64 d d) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 (*.f64 d d) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 (*.f64 d d) l))
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))
(/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 (*.f64 d d) l))
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(/.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (/.f64 (.f64 d (.f64 d d)) (.f64 (.f64 (sqrt.f64 #s(literal -1/4 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 M (.f64 M M)))) (.f64 D (.f64 D D)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 h h) (.f64 h (.f64 l (.f64 l l)))))) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l (pow.f64 h #s(literal 5 binary64))))) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 d #s(literal 5 binary64))) (.f64 (pow.f64 M #s(literal 5 binary64)) (.f64 (pow.f64 D #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 l h))) (/.f64 (.f64 #s(literal 1/2 binary64) d) (.f64 M (.f64 D (sqrt.f64 #s(literal -1/4 binary64))))))) (.f64 (/.f64 (.f64 M (.f64 D (sqrt.f64 #s(literal -1/4 binary64)))) d) (sqrt.f64 (*.f64 l h)))) l)
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (.f64 (.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
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1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
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(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M (/.f64 M (.f64 d d))))) (/.f64 (fma.f64 #s(literal -1/1024 binary64) (/.f64 (.f64 (pow.f64 M #s(literal 6 binary64)) (.f64 (.f64 h (.f64 h h)) (pow.f64 D #s(literal 6 binary64)))) (.f64 l (pow.f64 d #s(literal 6 binary64)))) (/.f64 (.f64 (.f64 #s(literal -1/128 binary64) (.f64 h (.f64 h (.f64 (.f64 M M) (.f64 M M))))) (.f64 (.f64 D D) (.f64 D D))) (.f64 (.f64 d d) (.f64 d d)))) l)) l))

simplify107.0ms (1%)

Memory

0.5MiB live, 154.0MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1205	11292
1	1207	11292
0	1207	11292

Stop Event

1×	saturated
1×	saturated

Counts

568 → 0

Calls

Call 1

Inputs
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(.f64 (.f64 (.f64 (.f64 D D) #s(literal 1/4 binary64)) h) (*.f64 M M))
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(sqrt.f64 (fma.f64 (neg.f64 (.f64 D D)) (.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal 1/4 binary64) (.f64 d (.f64 d l)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64))) (.f64 d (.f64 d l))) (fma.f64 (.f64 D D) (.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal 1/4 binary64) (.f64 d (.f64 d l)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64))) (.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64))) (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64))))) (.f64 (.f64 d (.f64 d l)) (.f64 (.f64 d (.f64 d l)) (.f64 d (.f64 d l)))))))))
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(pow.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64))) (neg.f64 (.f64 d (*.f64 d l)))))) #s(literal 1/2 binary64))
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(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64))) (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64)))) (.f64 (.f64 d (.f64 d l)) (.f64 d (.f64 d l)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 D D) (.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal 1/4 binary64) (.f64 d (*.f64 d l)))) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
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(.f64 (pow.f64 (fma.f64 (neg.f64 (.f64 D D)) (.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal 1/4 binary64) (.f64 d (.f64 d l)))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (neg.f64 (.f64 D D)) (.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal 1/4 binary64) (.f64 d (*.f64 d l)))) #s(literal 1 binary64)) #s(literal 1/4 binary64)))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 M M) (.f64 D D)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (neg.f64 (.f64 d (*.f64 d l)))))
(neg.f64 (/.f64 (neg.f64 (.f64 (.f64 M M) (.f64 D D))) (.f64 d (*.f64 d l))))
(/.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 d (*.f64 d l)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 M M) (*.f64 D D)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 M M) (*.f64 D D))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (/.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 d d)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 M M) (*.f64 D D))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 M M) (*.f64 D D))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 d d))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 M M) (*.f64 D D))))))
(/.f64 (neg.f64 (.f64 (.f64 M M) (.f64 D D))) (neg.f64 (.f64 d (*.f64 d l))))
(/.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 d d)) l)
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 M M) (.f64 D D)))) (neg.f64 (neg.f64 (.f64 d (*.f64 d l)))))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 d d))) (neg.f64 l))
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(/.f64 (.f64 (/.f64 D (.f64 d d)) (.f64 D (.f64 M M))) l)
(/.f64 (.f64 D (.f64 D (/.f64 (.f64 M M) l))) (.f64 d d))
(/.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) d) (.f64 d l))
(/.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) l) (.f64 d d))
(/.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 d l)) d)
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 (.f64 M M) (.f64 D D))))) (neg.f64 (neg.f64 (neg.f64 (.f64 d (*.f64 d l))))))
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(pow.f64 (/.f64 (/.f64 (.f64 d (.f64 d l)) (.f64 (.f64 M M) (*.f64 D D))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 l (/.f64 (.f64 (.f64 M M) (.f64 D D)) (.f64 d d))) #s(literal -1 binary64))
(.f64 D (/.f64 (.f64 D (.f64 M M)) (.f64 d (*.f64 d l))))
(.f64 (.f64 D (.f64 M M)) (.f64 D (/.f64 #s(literal 1 binary64) (.f64 d (.f64 d l)))))
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(.f64 #s(literal 1 binary64) (.f64 (.f64 D (.f64 M M)) (/.f64 D (.f64 d (.f64 d l)))))
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(.f64 (/.f64 (.f64 (.f64 M M) (.f64 D D)) (*.f64 d d)) (/.f64 #s(literal 1 binary64) l))
(.f64 (/.f64 (.f64 D (.f64 M M)) (.f64 d (*.f64 d l))) D)
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(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64))) (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64)))) (.f64 (.f64 d (.f64 d l)) (.f64 d (.f64 d l))))))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 D D) (.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal 1/4 binary64) (.f64 d (.f64 d l)))) #s(literal 1 binary64)))))
(pow.f64 (fma.f64 (neg.f64 (.f64 D D)) (.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal 1/4 binary64) (.f64 d (.f64 d l)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (neg.f64 (.f64 D D)) (.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal 1/4 binary64) (.f64 d (.f64 d l)))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (fma.f64 (neg.f64 (.f64 D D)) (.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal 1/4 binary64) (.f64 d (.f64 d l)))) #s(literal 1 binary64)) (fma.f64 (neg.f64 (.f64 D D)) (.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal 1/4 binary64) (.f64 d (*.f64 d l)))) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64))) (neg.f64 (.f64 d (*.f64 d l)))))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64))) (.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64))) (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64))))) (.f64 (.f64 d (.f64 d l)) (.f64 (.f64 d (.f64 d l)) (.f64 d (.f64 d l))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64))) (.f64 d (.f64 d l))) (fma.f64 (.f64 D D) (.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal 1/4 binary64) (.f64 d (*.f64 d l)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64))) (.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64))) (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64))))) (.f64 (.f64 d (.f64 d l)) (.f64 (.f64 d (.f64 d l)) (.f64 d (.f64 d l))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64))) (.f64 d (.f64 d l))) (fma.f64 (.f64 D D) (.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal 1/4 binary64) (.f64 d (*.f64 d l)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64))) (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64)))) (.f64 (.f64 d (.f64 d l)) (.f64 d (.f64 d l)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 D D) (.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal 1/4 binary64) (.f64 d (*.f64 d l)))) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64))) (.f64 (.f64 (.f64 M M) h) (.f64 (.f64 D D) #s(literal 1/4 binary64)))) (.f64 (.f64 d (.f64 d l)) (.f64 d (.f64 d l)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 D D) (.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal 1/4 binary64) (.f64 d (*.f64 d l)))) #s(literal 1 binary64)))))
(.f64 (pow.f64 (fma.f64 (neg.f64 (.f64 D D)) (.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal 1/4 binary64) (.f64 d (.f64 d l)))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (neg.f64 (.f64 D D)) (.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal 1/4 binary64) (.f64 d (*.f64 d l)))) #s(literal 1 binary64)) #s(literal 1/4 binary64)))

eval175.0ms (1.6%)

Memory: 7.4MiB live, 270.3MiB allocated
Compiler: Compiled 37 768 to 450 computations (98.8% saved)

prune32.0ms (0.3%)

Memory

16.2MiB live, 54.9MiB allocated

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	1 720	8	1 728
Fresh	0	4	4
Picked	3	2	5
Done	1	5	6
Total	1 724	19	1 743

Accuracy

90.2%

Counts

1 743 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.7%	(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0)
✓	55.8%	(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D (.f64 D (.f64 w0 (.f64 (.f64 M M) h)))) (.f64 d d)) (*.f64 w0 l)) l)
	33.9%	(/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (/.f64 (.f64 w0 (.f64 (.f64 M M) h)) l)) (.f64 w0 (.f64 d d))) (.f64 d d))
	14.0%	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (.f64 (.f64 M (.f64 M h)) w0))) (.f64 d (.f64 d l)))
	14.9%	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D (.f64 (.f64 D (.f64 M M)) w0)))) (.f64 d (.f64 d l)))
✓	14.9%	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D (.f64 D (.f64 (.f64 M M) w0))))) (.f64 d (.f64 d l)))
	60.1%	(.f64 (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) (.f64 h #s(literal -1/8 binary64))) (.f64 d (*.f64 d l))) #s(literal 1 binary64)) w0)
	60.2%	(.f64 (fma.f64 (.f64 D D) (.f64 (.f64 M (/.f64 (.f64 M h) (.f64 (*.f64 d d) l))) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (neg.f64 w0))
✓	60.6%	(.f64 (fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 d (*.f64 d l))))) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (neg.f64 w0))
	62.3%	(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M (/.f64 M (.f64 d d)))) (neg.f64 l)) l) (neg.f64 w0))
	12.7%	(.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w0 (.f64 (.f64 M M) h))) (.f64 (.f64 d d) l)))
	58.9%	(.f64 w0 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
	40.6%	(.f64 w0 (/.f64 (fma.f64 (.f64 D D) (.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal -1/8 binary64) l)) (.f64 d d)) (*.f64 d d)))
	15.0%	(.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 M (.f64 M h)) D) D) #s(literal -1/8 binary64)) (.f64 d (.f64 d l))))
	62.1%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M (.f64 M h)) #s(literal 1/4 binary64))) (.f64 (.f64 d d) l)))))
	65.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M (.f64 M h)) #s(literal 1/4 binary64))) (.f64 d (.f64 d l))))))
✓	70.6%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (.f64 d d) l)))))
✓	82.2%	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
✓	69.2%	(*.f64 w0 #s(literal 1 binary64))

Compiler

Compiled 1 053 to 483 computations (54.1% saved)

regimes129.0ms (1.2%)

Memory

-5.6MiB live, 190.2MiB allocated

Counts

28 → 2

Calls

Call 1

Inputs
(*.f64 w0 #s(literal 1 binary64))
(.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 M (.f64 M h)) D) D) #s(literal -1/8 binary64)) (.f64 d (.f64 d l))))
(.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 d (.f64 d l))))
(.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 (.f64 d d) l)))
(.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w0 (.f64 (.f64 M M) h))) (.f64 (.f64 d d) l)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D (.f64 D (.f64 (.f64 M M) w0))))) (.f64 d (.f64 d l)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D (.f64 (.f64 D (.f64 M M)) w0)))) (.f64 d (.f64 d l)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (.f64 (.f64 M (.f64 M h)) w0))) (.f64 d (.f64 d l)))
(.f64 w0 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(.f64 w0 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(.f64 w0 (fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(.f64 w0 (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) h) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) (.f64 h #s(literal -1/8 binary64))) (.f64 d (*.f64 d l))) #s(literal 1 binary64)) w0)
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0)
(.f64 (fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 d (*.f64 d l))))) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (neg.f64 w0))
(.f64 (fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 (*.f64 d d) l)))) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (neg.f64 w0))
(.f64 (fma.f64 (.f64 D D) (.f64 (.f64 M (/.f64 (.f64 M h) (.f64 (*.f64 d d) l))) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (neg.f64 w0))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M (/.f64 M (.f64 d d)))) (neg.f64 l)) l) (neg.f64 w0))
(.f64 h (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 D D) (.f64 w0 (.f64 M M))) (.f64 (*.f64 d d) l)) (/.f64 w0 h)))
(.f64 w0 (/.f64 (fma.f64 (.f64 D D) (.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal -1/8 binary64) l)) (.f64 d d)) (*.f64 d d)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D (.f64 D (.f64 w0 (.f64 (.f64 M M) h)))) (.f64 d d)) (*.f64 w0 l)) l)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (.f64 d d) l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (.f64 M M) h) D) D)) (.f64 (.f64 d d) l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h))) (.f64 d (.f64 d l))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M (.f64 M h)) #s(literal 1/4 binary64))) (.f64 d (.f64 d l))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M (.f64 M h)) #s(literal 1/4 binary64))) (.f64 (.f64 d d) l)))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (/.f64 (.f64 w0 (.f64 (.f64 M M) h)) l)) (.f64 w0 (.f64 d d))) (.f64 d d))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))

Outputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(*.f64 w0 #s(literal 1 binary64))

Calls

15 calls:

12.0ms	h
12.0ms	w0
12.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
11.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
8.0ms	(*.f64 M D)

Results

Accuracy	Segments	Branch
82.2%	1	`w0`
85.0%	2	`M`
85.5%	2	`D`
82.2%	1	`h`
82.2%	1	`l`
86.0%	2	`d`
89.3%	2	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
89.3%	2	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
89.3%	2	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
89.3%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`
87.6%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
87.6%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
86.2%	2	`(*.f64 M D)`
86.0%	2	`(*.f64 #s(literal 2 binary64) d)`
89.2%	3	`(/.f64 h l)`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes121.0ms (1.1%)

Memory

24.2MiB live, 184.1MiB allocated

Counts

27 → 2

Calls

Call 1

Inputs
(*.f64 w0 #s(literal 1 binary64))
(.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 M (.f64 M h)) D) D) #s(literal -1/8 binary64)) (.f64 d (.f64 d l))))
(.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 d (.f64 d l))))
(.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 (.f64 d d) l)))
(.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w0 (.f64 (.f64 M M) h))) (.f64 (.f64 d d) l)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D (.f64 D (.f64 (.f64 M M) w0))))) (.f64 d (.f64 d l)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D (.f64 (.f64 D (.f64 M M)) w0)))) (.f64 d (.f64 d l)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (.f64 (.f64 M (.f64 M h)) w0))) (.f64 d (.f64 d l)))
(.f64 w0 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(.f64 w0 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(.f64 w0 (fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(.f64 w0 (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) h) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) (.f64 h #s(literal -1/8 binary64))) (.f64 d (*.f64 d l))) #s(literal 1 binary64)) w0)
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0)
(.f64 (fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 d (*.f64 d l))))) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (neg.f64 w0))
(.f64 (fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 (*.f64 d d) l)))) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (neg.f64 w0))
(.f64 (fma.f64 (.f64 D D) (.f64 (.f64 M (/.f64 (.f64 M h) (.f64 (*.f64 d d) l))) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (neg.f64 w0))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M (/.f64 M (.f64 d d)))) (neg.f64 l)) l) (neg.f64 w0))
(.f64 h (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 D D) (.f64 w0 (.f64 M M))) (.f64 (*.f64 d d) l)) (/.f64 w0 h)))
(.f64 w0 (/.f64 (fma.f64 (.f64 D D) (.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal -1/8 binary64) l)) (.f64 d d)) (*.f64 d d)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D (.f64 D (.f64 w0 (.f64 (.f64 M M) h)))) (.f64 d d)) (*.f64 w0 l)) l)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (.f64 d d) l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (.f64 M M) h) D) D)) (.f64 (.f64 d d) l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h))) (.f64 d (.f64 d l))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M (.f64 M h)) #s(literal 1/4 binary64))) (.f64 d (.f64 d l))))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M (.f64 M h)) #s(literal 1/4 binary64))) (.f64 (.f64 d d) l)))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (/.f64 (.f64 w0 (.f64 (.f64 M M) h)) l)) (.f64 w0 (.f64 d d))) (.f64 d d))

Outputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M (.f64 M h)) #s(literal 1/4 binary64))) (.f64 d (.f64 d l))))))
(*.f64 w0 #s(literal 1 binary64))

Calls

15 calls:

11.0ms	(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
10.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
9.0ms	d
9.0ms	w0
8.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))

Results

Accuracy	Segments	Branch
75.6%	3	`h`
73.8%	2	`l`
75.0%	2	`w0`
78.9%	2	`M`
81.5%	3	`D`
80.6%	5	`d`
80.6%	5	`(*.f64 #s(literal 2 binary64) d)`
79.3%	2	`(*.f64 M D)`
78.9%	2	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
78.9%	2	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
78.7%	2	`(/.f64 h l)`
81.5%	3	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
83.6%	3	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
83.6%	3	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
83.6%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes9.0ms (0.1%)

Memory

-29.4MiB live, 13.1MiB allocated

Counts

24 → 2

Calls

Call 1

Inputs
(*.f64 w0 #s(literal 1 binary64))
(.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 M (.f64 M h)) D) D) #s(literal -1/8 binary64)) (.f64 d (.f64 d l))))
(.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 d (.f64 d l))))
(.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 (.f64 d d) l)))
(.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w0 (.f64 (.f64 M M) h))) (.f64 (.f64 d d) l)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D (.f64 D (.f64 (.f64 M M) w0))))) (.f64 d (.f64 d l)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D (.f64 (.f64 D (.f64 M M)) w0)))) (.f64 d (.f64 d l)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (.f64 (.f64 M (.f64 M h)) w0))) (.f64 d (.f64 d l)))
(.f64 w0 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(.f64 w0 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(.f64 w0 (fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(.f64 w0 (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) h) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) (.f64 h #s(literal -1/8 binary64))) (.f64 d (*.f64 d l))) #s(literal 1 binary64)) w0)
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0)
(.f64 (fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 d (*.f64 d l))))) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (neg.f64 w0))
(.f64 (fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 (*.f64 d d) l)))) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (neg.f64 w0))
(.f64 (fma.f64 (.f64 D D) (.f64 (.f64 M (/.f64 (.f64 M h) (.f64 (*.f64 d d) l))) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (neg.f64 w0))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M (/.f64 M (.f64 d d)))) (neg.f64 l)) l) (neg.f64 w0))
(.f64 h (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 D D) (.f64 w0 (.f64 M M))) (.f64 (*.f64 d d) l)) (/.f64 w0 h)))
(.f64 w0 (/.f64 (fma.f64 (.f64 D D) (.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal -1/8 binary64) l)) (.f64 d d)) (*.f64 d d)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D (.f64 D (.f64 w0 (.f64 (.f64 M M) h)))) (.f64 d d)) (*.f64 w0 l)) l)
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (.f64 d d) l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (.f64 M M) h) D) D)) (.f64 (.f64 d d) l)))))
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D D) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 M M) h))) (.f64 d (.f64 d l))))))

Outputs
(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (.f64 d d) l)))))
(*.f64 w0 #s(literal 1 binary64))

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
82.6%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes17.0ms (0.2%)

Memory

29.4MiB live, 29.4MiB allocated

Counts

21 → 2

Calls

Call 1

Inputs
(*.f64 w0 #s(literal 1 binary64))
(.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 M (.f64 M h)) D) D) #s(literal -1/8 binary64)) (.f64 d (.f64 d l))))
(.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 d (.f64 d l))))
(.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 (.f64 d d) l)))
(.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w0 (.f64 (.f64 M M) h))) (.f64 (.f64 d d) l)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D (.f64 D (.f64 (.f64 M M) w0))))) (.f64 d (.f64 d l)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D (.f64 (.f64 D (.f64 M M)) w0)))) (.f64 d (.f64 d l)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (.f64 (.f64 M (.f64 M h)) w0))) (.f64 d (.f64 d l)))
(.f64 w0 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(.f64 w0 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(.f64 w0 (fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(.f64 w0 (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) h) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) (.f64 h #s(literal -1/8 binary64))) (.f64 d (*.f64 d l))) #s(literal 1 binary64)) w0)
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0)
(.f64 (fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 d (*.f64 d l))))) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (neg.f64 w0))
(.f64 (fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 (*.f64 d d) l)))) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (neg.f64 w0))
(.f64 (fma.f64 (.f64 D D) (.f64 (.f64 M (/.f64 (.f64 M h) (.f64 (*.f64 d d) l))) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (neg.f64 w0))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 D D)) (.f64 h (.f64 M (/.f64 M (.f64 d d)))) (neg.f64 l)) l) (neg.f64 w0))
(.f64 h (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 D D) (.f64 w0 (.f64 M M))) (.f64 (*.f64 d d) l)) (/.f64 w0 h)))
(.f64 w0 (/.f64 (fma.f64 (.f64 D D) (.f64 (.f64 (.f64 M M) h) (/.f64 #s(literal -1/8 binary64) l)) (.f64 d d)) (*.f64 d d)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D (.f64 D (.f64 w0 (.f64 (.f64 M M) h)))) (.f64 d d)) (*.f64 w0 l)) l)

Outputs
(.f64 (fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 (*.f64 d d) l)))) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (neg.f64 w0))
(*.f64 w0 #s(literal 1 binary64))

Calls

3 calls:

5.0ms

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

5.0ms

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

5.0ms

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

Results

Accuracy	Segments	Branch
81.4%	3	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
81.4%	3	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
81.4%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 62 to 44 computations (29% saved)

regimes6.0ms (0.1%)

Memory

-29.5MiB live, 9.3MiB allocated

Counts

15 → 2

Calls

Call 1

Inputs
(*.f64 w0 #s(literal 1 binary64))
(.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 M (.f64 M h)) D) D) #s(literal -1/8 binary64)) (.f64 d (.f64 d l))))
(.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 d (.f64 d l))))
(.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 (.f64 d d) l)))
(.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w0 (.f64 (.f64 M M) h))) (.f64 (.f64 d d) l)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D (.f64 D (.f64 (.f64 M M) w0))))) (.f64 d (.f64 d l)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D (.f64 (.f64 D (.f64 M M)) w0)))) (.f64 d (.f64 d l)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (.f64 (.f64 M (.f64 M h)) w0))) (.f64 d (.f64 d l)))
(.f64 w0 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(.f64 w0 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(.f64 w0 (fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(.f64 w0 (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) h) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) (.f64 h #s(literal -1/8 binary64))) (.f64 d (*.f64 d l))) #s(literal 1 binary64)) w0)
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0)
(.f64 (fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 d (*.f64 d l))))) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (neg.f64 w0))

Outputs
(.f64 (fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 d (*.f64 d l))))) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (neg.f64 w0))
(*.f64 w0 #s(literal 1 binary64))

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
81.4%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes5.0ms (0%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

14 → 2

Calls

Call 1

Inputs
(*.f64 w0 #s(literal 1 binary64))
(.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 M (.f64 M h)) D) D) #s(literal -1/8 binary64)) (.f64 d (.f64 d l))))
(.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 d (.f64 d l))))
(.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 (.f64 d d) l)))
(.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w0 (.f64 (.f64 M M) h))) (.f64 (.f64 d d) l)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D (.f64 D (.f64 (.f64 M M) w0))))) (.f64 d (.f64 d l)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D (.f64 (.f64 D (.f64 M M)) w0)))) (.f64 d (.f64 d l)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (.f64 (.f64 M (.f64 M h)) w0))) (.f64 d (.f64 d l)))
(.f64 w0 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(.f64 w0 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(.f64 w0 (fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(.f64 w0 (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) h) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) (.f64 h #s(literal -1/8 binary64))) (.f64 d (*.f64 d l))) #s(literal 1 binary64)) w0)
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0)

Outputs
(fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (*.f64 d d) l)) w0)
(*.f64 w0 #s(literal 1 binary64))

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
80.6%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes5.0ms (0%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

13 → 2

Calls

Call 1

Inputs
(*.f64 w0 #s(literal 1 binary64))
(.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 M (.f64 M h)) D) D) #s(literal -1/8 binary64)) (.f64 d (.f64 d l))))
(.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 d (.f64 d l))))
(.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 M M) h) D) D) #s(literal -1/8 binary64)) (.f64 (.f64 d d) l)))
(.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w0 (.f64 (.f64 M M) h))) (.f64 (.f64 d d) l)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D (.f64 D (.f64 (.f64 M M) w0))))) (.f64 d (.f64 d l)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 D (.f64 (.f64 D (.f64 M M)) w0)))) (.f64 d (.f64 d l)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) (.f64 (.f64 M (.f64 M h)) w0))) (.f64 d (.f64 d l)))
(.f64 w0 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 M (.f64 M h))) (.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(.f64 w0 (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(.f64 w0 (fma.f64 (.f64 M M) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(.f64 w0 (fma.f64 (/.f64 (.f64 D (.f64 D (.f64 M M))) (.f64 (.f64 d d) l)) (*.f64 #s(literal -1/8 binary64) h) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) (.f64 h #s(literal -1/8 binary64))) (.f64 d (*.f64 d l))) #s(literal 1 binary64)) w0)

Outputs
(.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 M (.f64 M h)) D) D) #s(literal -1/8 binary64)) (.f64 d (.f64 d l))))
(*.f64 w0 #s(literal 1 binary64))

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
79.9%	2	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes20.0ms (0.2%)

Memory

3.6MiB live, 42.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 w0 #s(literal 1 binary64))

Outputs
(*.f64 w0 #s(literal 1 binary64))

Calls

15 calls:

2.0ms	(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
1.0ms	(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
1.0ms	(*.f64 #s(literal 2 binary64) d)
1.0ms	h
1.0ms	d

Results

Accuracy	Segments	Branch
69.2%	1	`l`
69.2%	1	`h`
69.2%	1	`w0`
69.2%	1	`d`
69.2%	1	`(*.f64 #s(literal 2 binary64) d)`
69.2%	1	`(/.f64 h l)`
69.2%	1	`M`
69.2%	1	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
69.2%	1	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
69.2%	1	`(*.f64 M D)`
69.2%	1	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))`
69.2%	1	`(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))`
69.2%	1	`D`
69.2%	1	`(.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))`
69.2%	1	`(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))`

Compiler

Compiled 183 to 140 computations (23.5% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.159794194302603e-12	NaN

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2422706183191003600.0	-4.709387834072738e-10

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.3457166313239815e-15	-7.065092593935661e-16

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.4645186088447125e+207	-6.4361993881585524e+196

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.4645186088447125e+207	-6.4361993881585524e+196

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.4645186088447125e+207	-6.4361993881585524e+196

Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.6501716301067116e+274	-6.356279891934167e+271

Compiler

Compiled 27 to 26 computations (3.7% saved)

simplify19.0ms (0.2%)

Memory

-19.5MiB live, 19.1MiB allocated

Algorithm

1×	egg-herbie

Rules

134×	`*-commutative_binary64`
68×	`sub-neg_binary64`
66×	`+-commutative_binary64`
62×	`neg-sub0_binary64`
62×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	263
1	144	263
2	189	263
3	247	263
4	307	263
5	349	263
6	379	263
7	392	263
8	397	263
9	398	263

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 6189700196426901/618970019642690137449562112 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (.f64 w0 #s(literal 1 binary64)))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -2000000000000000000 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M (.f64 M h)) #s(literal 1/4 binary64))) (.f64 d (.f64 d l)))))) (.f64 w0 #s(literal 1 binary64)))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -2535301200456459/1267650600228229401496703205376 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (.f64 d d) l))))) (.f64 w0 #s(literal 1 binary64)))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -2000000000000000077787155102176776862614744985904040266686047640153825885787697935261599312157554027746529206238824265827063412228188751233080367344425378807088691725252338870891329116153118924386444813271040 binary64)) (.f64 (fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 (.f64 d d) l)))) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (neg.f64 w0)) (*.f64 w0 #s(literal 1 binary64)))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -2000000000000000077787155102176776862614744985904040266686047640153825885787697935261599312157554027746529206238824265827063412228188751233080367344425378807088691725252338870891329116153118924386444813271040 binary64)) (.f64 (fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 d (.f64 d l))))) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (neg.f64 w0)) (*.f64 w0 #s(literal 1 binary64)))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -2000000000000000077787155102176776862614744985904040266686047640153825885787697935261599312157554027746529206238824265827063412228188751233080367344425378807088691725252338870891329116153118924386444813271040 binary64)) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (.f64 d d) l)) w0) (*.f64 w0 #s(literal 1 binary64)))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -39999999999999996855131513776705365946850876653032828117399186418692295074945442754976846497565352568693062873700435604738961912003248183644935166006780693798839685559128870516942316518811170780038665405800011425661232361283537866297439039221930866280916638709520096892551168 binary64)) (.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 M (.f64 M h)) D) D) #s(literal -1/8 binary64)) (.f64 d (.f64 d l)))) (.f64 w0 #s(literal 1 binary64)))
(*.f64 w0 #s(literal 1 binary64))

Outputs
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 6189700196426901/618970019642690137449562112 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (.f64 w0 #s(literal 1 binary64)))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 6189700196426901/618970019642690137449562112 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) w0)
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -2000000000000000000 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M (.f64 M h)) #s(literal 1/4 binary64))) (.f64 d (.f64 d l)))))) (.f64 w0 #s(literal 1 binary64)))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -2000000000000000000 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M (.f64 M h)) #s(literal 1/4 binary64))) (.f64 d (*.f64 d l)))))) w0)
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -2535301200456459/1267650600228229401496703205376 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 (.f64 d d) l))))) (.f64 w0 #s(literal 1 binary64)))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -2535301200456459/1267650600228229401496703205376 binary64)) (.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 h (.f64 D (.f64 D (.f64 M M))))) (.f64 l (*.f64 d d)))))) w0)
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -2000000000000000077787155102176776862614744985904040266686047640153825885787697935261599312157554027746529206238824265827063412228188751233080367344425378807088691725252338870891329116153118924386444813271040 binary64)) (.f64 (fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 (.f64 d d) l)))) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (neg.f64 w0)) (*.f64 w0 #s(literal 1 binary64)))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -2000000000000000077787155102176776862614744985904040266686047640153825885787697935261599312157554027746529206238824265827063412228188751233080367344425378807088691725252338870891329116153118924386444813271040 binary64)) (.f64 (fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 l (.f64 d d))))) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (neg.f64 w0)) w0)
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -2000000000000000077787155102176776862614744985904040266686047640153825885787697935261599312157554027746529206238824265827063412228188751233080367344425378807088691725252338870891329116153118924386444813271040 binary64)) (.f64 (fma.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (/.f64 h (.f64 d (.f64 d l))))) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (neg.f64 w0)) (*.f64 w0 #s(literal 1 binary64)))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -2000000000000000077787155102176776862614744985904040266686047640153825885787697935261599312157554027746529206238824265827063412228188751233080367344425378807088691725252338870891329116153118924386444813271040 binary64)) (.f64 (neg.f64 w0) (fma.f64 (.f64 D D) (.f64 #s(literal 1/8 binary64) (.f64 M (.f64 M (/.f64 h (.f64 d (.f64 d l)))))) #s(literal -1 binary64))) w0)
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -2000000000000000077787155102176776862614744985904040266686047640153825885787697935261599312157554027746529206238824265827063412228188751233080367344425378807088691725252338870891329116153118924386444813271040 binary64)) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 (.f64 d d) l)) w0) (*.f64 w0 #s(literal 1 binary64)))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -2000000000000000077787155102176776862614744985904040266686047640153825885787697935261599312157554027746529206238824265827063412228188751233080367344425378807088691725252338870891329116153118924386444813271040 binary64)) (fma.f64 (.f64 D D) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 h (.f64 M (.f64 M w0)))) (.f64 l (.f64 d d))) w0) w0)
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -39999999999999996855131513776705365946850876653032828117399186418692295074945442754976846497565352568693062873700435604738961912003248183644935166006780693798839685559128870516942316518811170780038665405800011425661232361283537866297439039221930866280916638709520096892551168 binary64)) (.f64 w0 (/.f64 (.f64 (.f64 (.f64 (.f64 M (.f64 M h)) D) D) #s(literal -1/8 binary64)) (.f64 d (.f64 d l)))) (.f64 w0 #s(literal 1 binary64)))
(if (<=.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -39999999999999996855131513776705365946850876653032828117399186418692295074945442754976846497565352568693062873700435604738961912003248183644935166006780693798839685559128870516942316518811170780038665405800011425661232361283537866297439039221930866280916638709520096892551168 binary64)) (.f64 w0 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 D (.f64 D (.f64 M (.f64 M h))))) (.f64 d (*.f64 d l)))) w0)
(*.f64 w0 #s(literal 1 binary64))
w0

soundness1.1s (10%)

Memory

-67.4MiB live, 659.4MiB allocated

Rules

11 592×	`lower-fma.f64`
11 592×	`lower-fma.f32`
11 488×	`lower-fma.f64`
11 488×	`lower-fma.f32`
10 288×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	602	6638
1	2109	6622
0	8204	6458
0	380	12184
1	1202	12167
2	5322	12161
3	7688	12161
0	8118	12037
0	117	8662
1	364	8662
2	1412	8662
3	5011	8662
0	8589	8515
0	407	8075
1	1305	8040
2	5672	8034
0	8069	7847

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

Compiler

Compiled 639 to 356 computations (44.3% saved)

preprocess146.0ms (1.4%)

Memory

-10.3MiB live, 237.4MiB allocated

Remove

(sort M D)

(negabs w0)

(abs M)

(abs D)

(abs d)

Compiler

Compiled 1 406 to 602 computations (57.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	85	263
1	144	263
2	189	263
3	247	263
4	307	263
5	349	263
6	379	263
7	392	263
8	397	263
9	398	263

Iter	Nodes	Cost
0	85	263
1	144	263
2	189	263
3	247	263
4	307	263
5	349	263
6	379	263
7	392	263
8	397	263
9	398	263

analyze649.0ms (6.1%)

sample2.8s (26.5%)

preprocess240.0ms (2.2%)

explain195.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify183.0ms (1.7%)

localize46.0ms (0.4%)

series57.0ms (0.5%)

rewrite279.0ms (2.6%)

simplify371.0ms (3.5%)

simplify49.0ms (0.5%)

eval44.0ms (0.4%)

prune20.0ms (0.2%)

simplify237.0ms (2.2%)

localize114.0ms (1.1%)

series50.0ms (0.5%)

rewrite301.0ms (2.8%)

simplify370.0ms (3.5%)

simplify74.0ms (0.7%)

eval103.0ms (1%)

prune21.0ms (0.2%)

simplify228.0ms (2.1%)

localize314.0ms (2.9%)

series67.0ms (0.6%)

rewrite316.0ms (3%)

simplify276.0ms (2.6%)

simplify131.0ms (1.2%)

eval170.0ms (1.6%)

prune18.0ms (0.2%)

simplify193.0ms (1.8%)

localize161.0ms (1.5%)

series52.0ms (0.5%)

rewrite270.0ms (2.5%)

simplify409.0ms (3.8%)

simplify107.0ms (1%)

eval175.0ms (1.6%)

prune32.0ms (0.3%)

regimes129.0ms (1.2%)

regimes121.0ms (1.1%)

regimes9.0ms (0.1%)

regimes17.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes20.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify19.0ms (0.2%)

soundness1.1s (10%)

preprocess146.0ms (1.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	85	263
1	144	263
2	189	263
3	247	263
4	307	263
5	349	263
6	379	263
7	392	263
8	397	263
9	398	263