Metrics for Linear.Quaternion:$ctan from linear-1.19.1.3

analyze80.0ms (0.8%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 9 computations (10% saved)

sample1.4s (14.3%)

Results

785.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 423.0ms

ival-mult: 178.0ms (42.1% of total)

ival-div: 134.0ms (31.7% of total)

ival-cosh: 99.0ms (23.4% of total)

ival-true: 7.0ms (1.7% of total)

ival-assert: 4.0ms (0.9% of total)

Bogosity

preprocess90.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

639×	`fma-define`
385×	`distribute-lft-neg-in`
346×	`associate-/l*`
325×	`div-sub`
319×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	409
1	115	397
2	349	397
3	1259	397
4	4372	397

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(/.f64 (*.f64 (cosh.f64 (neg.f64 x)) (/.f64 y (neg.f64 x))) z)
(/.f64 (*.f64 (cosh.f64 x) (/.f64 (neg.f64 y) x)) z)
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (neg.f64 z))
(neg.f64 (/.f64 (*.f64 (cosh.f64 (neg.f64 x)) (/.f64 y (neg.f64 x))) z))
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 (neg.f64 y) x)) z))
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (neg.f64 z)))
(/.f64 (*.f64 (cosh.f64 y) (/.f64 x y)) z)
(/.f64 (*.f64 (cosh.f64 z) (/.f64 y z)) x)
(/.f64 (*.f64 (cosh.f64 x) (/.f64 z x)) y)

Outputs
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y x) z))
(.f64 (cosh.f64 x) (/.f64 y (.f64 z x)))
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y x) z))
(.f64 (cosh.f64 x) (/.f64 y (.f64 z x)))
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
(/.f64 (*.f64 (cosh.f64 (neg.f64 x)) (/.f64 y (neg.f64 x))) z)
(.f64 (cosh.f64 x) (/.f64 y (.f64 z (neg.f64 x))))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (neg.f64 z))
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y x) (neg.f64 z)))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 (neg.f64 y) x)) z)
(/.f64 (*.f64 (cosh.f64 (neg.f64 x)) (/.f64 y (neg.f64 x))) z)
(.f64 (cosh.f64 x) (/.f64 y (.f64 z (neg.f64 x))))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (neg.f64 z))
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y x) (neg.f64 z)))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (neg.f64 z))
(/.f64 (*.f64 (cosh.f64 (neg.f64 x)) (/.f64 y (neg.f64 x))) z)
(.f64 (cosh.f64 x) (/.f64 y (.f64 z (neg.f64 x))))
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y x) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 (cosh.f64 (neg.f64 x)) (/.f64 y (neg.f64 x))) z))
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y x) z))
(.f64 (cosh.f64 x) (/.f64 y (.f64 z x)))
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 (neg.f64 y) x)) z))
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y x) z))
(.f64 (cosh.f64 x) (/.f64 y (.f64 z x)))
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (neg.f64 z)))
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y x) z))
(.f64 (cosh.f64 x) (/.f64 y (.f64 z x)))
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
(/.f64 (*.f64 (cosh.f64 y) (/.f64 x y)) z)
(*.f64 (cosh.f64 y) (/.f64 (/.f64 x y) z))
(.f64 x (/.f64 (cosh.f64 y) (.f64 y z)))
(/.f64 (*.f64 (cosh.f64 z) (/.f64 y z)) x)
(*.f64 (cosh.f64 z) (/.f64 (/.f64 y z) x))
(.f64 (cosh.f64 z) (/.f64 y (.f64 x z)))
(*.f64 (cosh.f64 z) (/.f64 (/.f64 y x) z))
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 z) z))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 z x)) y)
(*.f64 (cosh.f64 x) (/.f64 (/.f64 z x) y))
(/.f64 (.f64 (cosh.f64 x) z) (.f64 y x))
(/.f64 (.f64 (cosh.f64 x) z) (.f64 x y))
(.f64 (cosh.f64 x) (/.f64 z (.f64 x y)))

Symmetry

(negabs x)

(negabs y)

(negabs z)

explain86.0ms (0.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
29	-	-	`(*.f64 (cosh.f64 x) (/.f64 y x))`
10	-	-	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
0	-	-	`(/.f64 y x)`
0	-	-	`y`
0	-	-	`(cosh.f64 x)`
0	-	-	`z`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(*.f64 (cosh.f64 x) (/.f64 y x))`	*ou**	28	0
↳	`(cosh.f64 x)`	overflow	113
↳	`(/.f64 y x)`	underflow	28
`/.f64`	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`	o/n	10	0
↳	`(cosh.f64 x)`	overflow	113
↳	`(/.f64 y x)`	overflow	26
↳	`(*.f64 (cosh.f64 x) (/.f64 y x))`	overflow	138
`*.f64`	`(*.f64 (cosh.f64 x) (/.f64 y x))`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	39	0
-	0	217

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	39	0	0
-	0	0	217

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	217
1	39

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Results

46.0ms

512×

valid

Compiler

Compiled 70 to 32 computations (54.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 8.0ms (46% of total)

ival-cosh: 6.0ms (34.5% of total)

ival-mult: 3.0ms (17.2% of total)

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

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

eval0.0ms (0%)

Compiler: Compiled 27 to 12 computations (55.6% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.8%	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
▶	84.8%	(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
▶	81.6%	(.f64 (cosh.f64 x) (/.f64 y (.f64 z x)))

Compiler

Compiled 33 to 21 computations (36.4% saved)

simplify170.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 y x)
✓	cost-diff	(cosh.f64 x)
✓	cost-diff	(*.f64 (cosh.f64 x) (/.f64 y x))
✓	cost-diff	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
✓	cost-diff	(cosh.f64 x)
✓	cost-diff	(/.f64 (cosh.f64 x) z)
✓	cost-diff	(/.f64 y x)
✓	cost-diff	(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
✓	cost-diff	(*.f64 z x)
✓	cost-diff	(/.f64 y (*.f64 z x))
✓	cost-diff	(cosh.f64 x)
✓	cost-diff	(.f64 (cosh.f64 x) (/.f64 y (.f64 z x)))

Rules

709×	`fma-define`
601×	`times-frac`
335×	`associate-/l/`
254×	`associate-*r/`
156×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	269
1	39	269
2	76	269
3	141	269
4	261	269
5	375	269
6	618	269
7	1305	269
8	2671	269
9	3307	269
10	3573	269
11	3618	269
12	3622	269
13	3622	269
14	3659	269
15	3670	269
16	3672	269
17	3677	269
18	3683	269

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (cosh.f64 x) (/.f64 y (.f64 z x)))
(cosh.f64 x)
x
(/.f64 y (*.f64 z x))
y
(*.f64 z x)
z
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
(/.f64 y x)
y
x
(/.f64 (cosh.f64 x) z)
(cosh.f64 x)
z
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(*.f64 (cosh.f64 x) (/.f64 y x))
(cosh.f64 x)
x
(/.f64 y x)
y
z

Outputs
(.f64 (cosh.f64 x) (/.f64 y (.f64 z x)))
(.f64 (cosh.f64 x) (/.f64 y (.f64 x z)))
(cosh.f64 x)
x
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 x z))
y
(*.f64 z x)
(*.f64 x z)
z
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
(.f64 (cosh.f64 x) (/.f64 y (.f64 x z)))
(/.f64 y x)
y
x
(/.f64 (cosh.f64 x) z)
(cosh.f64 x)
z
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(.f64 (cosh.f64 x) (/.f64 y (.f64 x z)))
(*.f64 (cosh.f64 x) (/.f64 y x))
(/.f64 (*.f64 (cosh.f64 x) y) x)
(cosh.f64 x)
x
(/.f64 y x)
y
z

localize98.0ms (1%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(cosh.f64 x)
✓	accuracy	96.1%	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
✓	accuracy	90.9%	(*.f64 (cosh.f64 x) (/.f64 y x))
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(cosh.f64 x)
✓	accuracy	100.0%	(/.f64 (cosh.f64 x) z)
✓	accuracy	87.0%	(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	100.0%	(cosh.f64 x)
✓	accuracy	94.5%	(/.f64 y (*.f64 z x))
✓	accuracy	89.7%	(.f64 (cosh.f64 x) (/.f64 y (.f64 z x)))

Results

42.0ms

256×

valid

Compiler

Compiled 65 to 14 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 8.0ms (45.4% of total)

ival-div: 7.0ms (39.7% of total)

ival-cosh: 3.0ms (17% of total)

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

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

series46.0ms (0.5%)

Counts

9 → 228

Calls

Call 1

Inputs
#<alt (.f64 (cosh.f64 x) (/.f64 y (.f64 z x)))>
#<alt (cosh.f64 x)>
#<alt (/.f64 y (*.f64 z x))>
#<alt (*.f64 z x)>
#<alt (*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))>
#<alt (/.f64 y x)>
#<alt (/.f64 (cosh.f64 x) z)>
#<alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)>
#<alt (*.f64 (cosh.f64 x) (/.f64 y x))>

Outputs
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) y) z)) (/.f64 y z)) x)>
#<alt (/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) y) z)) (.f64 #s(literal 1/2 binary64) (/.f64 y z)))) (/.f64 y z)) x)>
#<alt (/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y z)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) y) z)) (.f64 #s(literal 1/24 binary64) (/.f64 y z)))))) (/.f64 y z)) x)>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
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#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) x))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) x))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) x))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) x))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) x))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) x))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) x))>

Calls

63 calls:

Time	Variable		Point	Expression
6.0ms	y	@	inf	(/ (* (cosh x) (/ y x)) z)
6.0ms	y	@	-inf	(* (cosh x) (/ y (* z x)))
4.0ms	z	@	0	(/ (cosh x) z)
3.0ms	x	@	-inf	(* (cosh x) (/ y (* z x)))
2.0ms	x	@	inf	(* (cosh x) (/ y (* z x)))

rewrite839.0ms (8.9%)

Algorithm

1×	batch-egg-rewrite

Rules

903×	`log1p-expm1-u`
903×	`expm1-log1p-u`
218×	`log1p-undefine`
126×	`associate-r`
123×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	204
1	284	204
2	4181	204

Stop Event

1×	node limit

Counts

9 → 432

Calls

Call 1

Inputs
(.f64 (cosh.f64 x) (/.f64 y (.f64 z x)))
(cosh.f64 x)
(/.f64 y (*.f64 z x))
(*.f64 z x)
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
(/.f64 y x)
(/.f64 (cosh.f64 x) z)
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(*.f64 (cosh.f64 x) (/.f64 y x))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x)))) #s(literal 1 binary64))
(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
(/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z))
(/.f64 y (*.f64 x (/.f64 z (cosh.f64 x))))
(/.f64 y (*.f64 (/.f64 z (cosh.f64 x)) x))
(/.f64 (/.f64 y x) (/.f64 z (cosh.f64 x)))
(/.f64 (/.f64 (cosh.f64 x) z) (/.f64 x y))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (*.f64 x (/.f64 z y)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (/.f64 y x)) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (cosh.f64 x)) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x z) (.f64 (cosh.f64 x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 z (/.f64 y x)) (cosh.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (/.f64 (cosh.f64 x) z))))
(/.f64 (*.f64 (/.f64 y x) (neg.f64 (cosh.f64 x))) (neg.f64 z))
(/.f64 (neg.f64 (cosh.f64 x)) (*.f64 (/.f64 x y) (neg.f64 z)))
(/.f64 (neg.f64 y) (*.f64 (/.f64 z (cosh.f64 x)) (neg.f64 x)))
(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z (/.f64 y x)) (cosh.f64 x))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (.f64 #s(literal 2 binary64) (.f64 x z)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (.f64 x (/.f64 z y))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 y)) (.f64 #s(literal 2 binary64) (.f64 x (neg.f64 z))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y z)) (*.f64 #s(literal 2 binary64) x))
(/.f64 (.f64 y (.f64 #s(literal 2 binary64) (cosh.f64 x))) (.f64 (.f64 x z) #s(literal 2 binary64)))
(/.f64 (.f64 (neg.f64 y) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (.f64 (.f64 x (neg.f64 z)) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 y z) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 (neg.f64 x) (/.f64 z (cosh.f64 x))))
(/.f64 (.f64 (neg.f64 (cosh.f64 x)) #s(literal 1 binary64)) (.f64 (neg.f64 z) (/.f64 x y)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y x)) (*.f64 #s(literal 2 binary64) z))
(/.f64 (.f64 y (neg.f64 (cosh.f64 x))) (.f64 x (neg.f64 z)))
(/.f64 (.f64 (neg.f64 y) (cosh.f64 x)) (.f64 x (neg.f64 z)))
(/.f64 (.f64 (neg.f64 y) (neg.f64 (cosh.f64 x))) (.f64 (neg.f64 x) (neg.f64 z)))
(/.f64 (.f64 (cosh.f64 x) (neg.f64 y)) (.f64 x (neg.f64 z)))
(/.f64 (.f64 (neg.f64 (cosh.f64 x)) y) (.f64 x (neg.f64 z)))
(/.f64 (.f64 (neg.f64 (cosh.f64 x)) (neg.f64 y)) (.f64 (neg.f64 z) (neg.f64 x)))
(/.f64 (.f64 (.f64 (cosh.f64 x) y) #s(literal 1 binary64)) (*.f64 x z))
(/.f64 (neg.f64 (.f64 (cosh.f64 x) y)) (.f64 x (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 (/.f64 y x) (neg.f64 (cosh.f64 x)))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 y (/.f64 (cosh.f64 x) z))) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y z)) x)
(/.f64 (.f64 (/.f64 (/.f64 y z) x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (cosh.f64 x) z) (neg.f64 y)) (neg.f64 x))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (/.f64 y z) x)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 y z) (cosh.f64 x)) x)
(/.f64 (*.f64 (neg.f64 y) (/.f64 (cosh.f64 x) z)) (neg.f64 x))
(/.f64 (/.f64 (.f64 (cosh.f64 x) y) #s(literal 1 binary64)) (.f64 x z))
(/.f64 (/.f64 (.f64 (cosh.f64 x) y) (pow.f64 (cbrt.f64 (.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x z)))
(/.f64 (/.f64 (.f64 (cosh.f64 x) y) (sqrt.f64 (.f64 x z))) (sqrt.f64 (*.f64 x z)))
(/.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 z (/.f64 y x)) (cosh.f64 x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 (/.f64 y x) (neg.f64 (cosh.f64 x))) z))
(sqrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (/.f64 (/.f64 y z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x)))))
(cbrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 y z) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 y z) x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 (cosh.f64 x) z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cosh.f64 x) z) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))))
(log1p.f64 (expm1.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))))
(exp.f64 (log.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))))
(exp.f64 (.f64 (log.f64 (.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cosh.f64 x))) #s(literal 1 binary64))
(*.f64 (cosh.f64 x) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 x))
(*.f64 (cbrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (cosh.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cosh.f64 x)))
(*.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (cosh.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(pow.f64 (cosh.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cosh.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cosh.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cosh.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cosh.f64 x))))
(cbrt.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cosh.f64 x)))
(log1p.f64 (expm1.f64 (cosh.f64 x)))
(exp.f64 (log.f64 (cosh.f64 x)))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 y z) x))) #s(literal 1 binary64))
(.f64 y (/.f64 #s(literal 1 binary64) (.f64 x z)))
(*.f64 (/.f64 (/.f64 y z) x) #s(literal 1 binary64))
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) x))
(*.f64 (cbrt.f64 (/.f64 (/.f64 y z) x)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 y z) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 y z) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (/.f64 y z) x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 y x)) z))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (.f64 x z)))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 x z))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 y z) x)) (sqrt.f64 (/.f64 (/.f64 y z) x)))
(*.f64 (sqrt.f64 (/.f64 y x)) (/.f64 (sqrt.f64 (/.f64 y x)) z))
(.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (.f64 x z)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 x z))))
(.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (.f64 x (neg.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z))
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (.f64 x z)))
(.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (.f64 x z)))
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) z))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 y x) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) x))
(.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x z)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 y x)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (/.f64 y x)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 y x)) z))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 y x)) (cbrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 z)) (/.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 z)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (.f64 x z)) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (*.f64 x z))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 x z))) (/.f64 y (sqrt.f64 (*.f64 x z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x) (/.f64 (cbrt.f64 y) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 y) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (/.f64 y z) x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (.f64 x z))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 x z))))
(.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (.f64 x z)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 x z))))
(pow.f64 (/.f64 (/.f64 y z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 y z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 y z) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x (/.f64 z y)) #s(literal -1 binary64))
(neg.f64 (/.f64 y (*.f64 x (neg.f64 z))))
(neg.f64 (/.f64 (neg.f64 y) (*.f64 x z)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 y z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (/.f64 y z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 y z) x))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 y z) x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 y z) x)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 y z) x)))
(exp.f64 (log.f64 (/.f64 (/.f64 y z) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y z) x)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 (/.f64 y x)) (log.f64 z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x z))) #s(literal 1 binary64))
(pow.f64 (*.f64 x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z))))
(cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(log1p.f64 (expm1.f64 (*.f64 x z)))
(exp.f64 (log.f64 (*.f64 x z)))
(exp.f64 (.f64 (log.f64 (.f64 x z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x)))) #s(literal 1 binary64))
(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
(/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z))
(/.f64 y (*.f64 x (/.f64 z (cosh.f64 x))))
(/.f64 y (*.f64 (/.f64 z (cosh.f64 x)) x))
(/.f64 (/.f64 y x) (/.f64 z (cosh.f64 x)))
(/.f64 (/.f64 (cosh.f64 x) z) (/.f64 x y))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (*.f64 x (/.f64 z y)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (/.f64 y x)) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (cosh.f64 x)) (/.f64 x y)))
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(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 (cosh.f64 x) z) (cbrt.f64 x)))
(.f64 (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 (/.f64 y z) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (/.f64 y z) x)))
(.f64 (.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (/.f64 y z) x))) (sqrt.f64 (/.f64 (/.f64 y z) x)))
(.f64 (.f64 (/.f64 (/.f64 y z) x) (pow.f64 (cbrt.f64 (cosh.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (cosh.f64 x)))
(.f64 (.f64 (/.f64 (/.f64 y z) x) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x)))
(.f64 (.f64 (/.f64 y x) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (cosh.f64 x) z)))
(.f64 (.f64 (/.f64 y x) (sqrt.f64 (/.f64 (cosh.f64 x) z))) (sqrt.f64 (/.f64 (cosh.f64 x) z)))
(.f64 (.f64 (/.f64 (cosh.f64 x) z) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y x)))
(.f64 (.f64 (/.f64 (cosh.f64 x) z) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))
(pow.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 z (/.f64 y x)) (cosh.f64 x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 (/.f64 y x) (neg.f64 (cosh.f64 x))) z))
(sqrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (/.f64 (/.f64 y z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x)))))
(cbrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 y z) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 y z) x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 (cosh.f64 x) z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cosh.f64 x) z) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))))
(log1p.f64 (expm1.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))))
(exp.f64 (log.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))))
(exp.f64 (.f64 (log.f64 (.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cosh.f64 x) (/.f64 y x)))) #s(literal 1 binary64))
(/.f64 (cosh.f64 x) (/.f64 x y))
(/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (cosh.f64 x) y)))
(/.f64 (*.f64 (cosh.f64 x) y) x)
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal 2 binary64) x))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x y)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 y)) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (.f64 y (.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 (neg.f64 y) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y x)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) (neg.f64 x))
(/.f64 (*.f64 (cosh.f64 x) (neg.f64 y)) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) y)) (neg.f64 x))
(/.f64 (.f64 (/.f64 y x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 y x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (/.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cosh.f64 x) (/.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cosh.f64 x) (/.f64 y x))))
(log1p.f64 (expm1.f64 (*.f64 (cosh.f64 x) (/.f64 y x))))
(exp.f64 (log.f64 (*.f64 (cosh.f64 x) (/.f64 y x))))
(exp.f64 (.f64 (log.f64 (.f64 (cosh.f64 x) (/.f64 y x))) #s(literal 1 binary64)))

simplify426.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

829×	`times-frac`
800×	`fma-define`
533×	`associate-/l*`
465×	`associate-*r/`
370×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	756	22758
1	1800	22483
2	7048	22483

Stop Event

1×	node limit

Counts

660 → 429

Calls

Call 1

Inputs
(/.f64 y (*.f64 x z))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) y) z)) (/.f64 y z)) x)
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) y) z)) (.f64 #s(literal 1/2 binary64) (/.f64 y z)))) (/.f64 y z)) x)
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y z)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) y) z)) (.f64 #s(literal 1/24 binary64) (/.f64 y z)))))) (/.f64 y z)) x)
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(/.f64 y (*.f64 x z))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) y) z)) (/.f64 y z)) x)
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) y) z)) (.f64 #s(literal 1/2 binary64) (/.f64 y z)))) (/.f64 y z)) x)
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y z)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) y) z)) (.f64 #s(literal 1/24 binary64) (/.f64 y z)))))) (/.f64 y z)) x)
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
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(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) x))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 x)))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(neg.f64 (/.f64 y (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 y) x))
(sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y x))))
(cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y x)))
(log1p.f64 (expm1.f64 (/.f64 y x)))
(exp.f64 (log.f64 (/.f64 y x)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cosh.f64 x) z))) #s(literal 1 binary64))
(*.f64 (cosh.f64 x) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (cosh.f64 x) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) z))
(*.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (cosh.f64 x)) z))
(.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 (/.f64 (cosh.f64 x) z)) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (cosh.f64 x) z)))
(*.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 (sqrt.f64 (cosh.f64 x)) z))
(.f64 (sqrt.f64 (cosh.f64 x)) (.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 (cosh.f64 x) z)) (sqrt.f64 (/.f64 (cosh.f64 x) z)))
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (cosh.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (cosh.f64 x) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (cosh.f64 x) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (cosh.f64 x)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (cosh.f64 x) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (cosh.f64 x)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (cosh.f64 x)) z))
(*.f64 (/.f64 (sqrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (cosh.f64 x)) (cbrt.f64 z)))
(pow.f64 (/.f64 (cosh.f64 x) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z (cosh.f64 x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (cosh.f64 x) (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 (cosh.f64 x)) z))
(sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (cosh.f64 x) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (cosh.f64 x) z))))
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) z) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) z)))
(log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) z)))
(exp.f64 (log.f64 (/.f64 (cosh.f64 x) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 x) z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x)))) #s(literal 1 binary64))
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))
(.f64 y (/.f64 (cosh.f64 x) (.f64 x z)))
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))
(.f64 y (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (cosh.f64 x)))
(.f64 y (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cosh.f64 x) z)))
(*.f64 (/.f64 (/.f64 y z) x) (cosh.f64 x))
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))
(.f64 (.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x)))
(.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (cosh.f64 x)) (/.f64 (/.f64 y z) x)))
(.f64 (cbrt.f64 (.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))) (pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) z)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 (cosh.f64 x) z)) (/.f64 y x)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 y z) x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 (/.f64 y z) x)) (cosh.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 y x)) (/.f64 (cosh.f64 x) z)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cosh.f64 x) (/.f64 y x))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 y x))) z))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cosh.f64 x) (/.f64 y x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 (cosh.f64 x) (/.f64 y x))) (/.f64 #s(literal 1 binary64) z)))
(.f64 (sqrt.f64 (cosh.f64 x)) (.f64 (sqrt.f64 (cosh.f64 x)) (/.f64 (/.f64 y z) x)))
(.f64 (sqrt.f64 (.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))) (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))))
(.f64 (sqrt.f64 (/.f64 (cosh.f64 x) z)) (.f64 (sqrt.f64 (/.f64 (cosh.f64 x) z)) (/.f64 y x)))
(.f64 (sqrt.f64 (/.f64 (/.f64 y z) x)) (.f64 (sqrt.f64 (/.f64 (/.f64 y z) x)) (cosh.f64 x)))
(.f64 (sqrt.f64 (/.f64 y x)) (.f64 (sqrt.f64 (/.f64 y x)) (/.f64 (cosh.f64 x) z)))
(.f64 (sqrt.f64 (.f64 (cosh.f64 x) (/.f64 y x))) (/.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 y x))) z))
(.f64 (sqrt.f64 (.f64 (cosh.f64 x) (/.f64 y x))) (.f64 (sqrt.f64 (.f64 (cosh.f64 x) (/.f64 y x))) (/.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 (/.f64 y x) (neg.f64 (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (cosh.f64 x) (/.f64 y x)))
(.f64 (.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) (*.f64 x z)))
(.f64 (.f64 y (/.f64 (cosh.f64 x) z)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
(*.f64 (/.f64 (cosh.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x))
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (/.f64 (cosh.f64 x) z) (sqrt.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) (cbrt.f64 z)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) (sqrt.f64 z)))
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z))
(.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (.f64 x z)) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (*.f64 x z))))
(.f64 (/.f64 (cosh.f64 x) (sqrt.f64 (.f64 x z))) (/.f64 y (sqrt.f64 (*.f64 x z))))
(.f64 (/.f64 y (sqrt.f64 (.f64 x z))) (/.f64 (cosh.f64 x) (sqrt.f64 (*.f64 x z))))
(.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (cosh.f64 x) (.f64 x z)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (/.f64 (cosh.f64 x) z) x))
(*.f64 (/.f64 (/.f64 y x) (sqrt.f64 z)) (/.f64 (cosh.f64 x) (sqrt.f64 z)))
(*.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 y x) (cbrt.f64 z)))
(*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 z)) (/.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 (cosh.f64 x) z))
(*.f64 (/.f64 (/.f64 y x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (cosh.f64 x) (cbrt.f64 z)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cosh.f64 x) (/.f64 y x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 y x))) z))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cosh.f64 x) (/.f64 y x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cosh.f64 x) (/.f64 y x))) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 y x))) (sqrt.f64 z)))
(.f64 (/.f64 (sqrt.f64 (.f64 (cosh.f64 x) (/.f64 y x))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 y x))) z))
(.f64 (/.f64 (sqrt.f64 (.f64 (cosh.f64 x) (/.f64 y x))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 y x))) (cbrt.f64 z)))
(.f64 (/.f64 y (pow.f64 (cbrt.f64 (.f64 x z)) #s(literal 2 binary64))) (/.f64 (cosh.f64 x) (cbrt.f64 (*.f64 x z))))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 (cosh.f64 x) z) (cbrt.f64 x)))
(.f64 (.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 (/.f64 y z) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (/.f64 y z) x)))
(.f64 (.f64 (cosh.f64 x) (sqrt.f64 (/.f64 (/.f64 y z) x))) (sqrt.f64 (/.f64 (/.f64 y z) x)))
(.f64 (.f64 (/.f64 (/.f64 y z) x) (pow.f64 (cbrt.f64 (cosh.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (cosh.f64 x)))
(.f64 (.f64 (/.f64 (/.f64 y z) x) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x)))
(.f64 (.f64 (/.f64 y x) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (cosh.f64 x) z)))
(.f64 (.f64 (/.f64 y x) (sqrt.f64 (/.f64 (cosh.f64 x) z))) (sqrt.f64 (/.f64 (cosh.f64 x) z)))
(.f64 (.f64 (/.f64 (cosh.f64 x) z) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y x)))
(.f64 (.f64 (/.f64 (cosh.f64 x) z) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))
(pow.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 z (/.f64 y x)) (cosh.f64 x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 (/.f64 y x) (neg.f64 (cosh.f64 x))) z))
(sqrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (/.f64 (/.f64 y z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x)))))
(cbrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 y z) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 y z) x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 (cosh.f64 x) z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cosh.f64 x) z) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))))
(log1p.f64 (expm1.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))))
(exp.f64 (log.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))))
(exp.f64 (.f64 (log.f64 (.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cosh.f64 x) (/.f64 y x)))) #s(literal 1 binary64))
(/.f64 (cosh.f64 x) (/.f64 x y))
(/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (cosh.f64 x) y)))
(/.f64 (*.f64 (cosh.f64 x) y) x)
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal 2 binary64) x))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x y)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 y)) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (.f64 y (.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 (neg.f64 y) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y x)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) (neg.f64 x))
(/.f64 (*.f64 (cosh.f64 x) (neg.f64 y)) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) y)) (neg.f64 x))
(/.f64 (.f64 (/.f64 y x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 y x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (/.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cosh.f64 x) (/.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cosh.f64 x) (/.f64 y x))))
(log1p.f64 (expm1.f64 (*.f64 (cosh.f64 x) (/.f64 y x))))
(exp.f64 (log.f64 (*.f64 (cosh.f64 x) (/.f64 y x))))
(exp.f64 (.f64 (log.f64 (.f64 (cosh.f64 x) (/.f64 y x))) #s(literal 1 binary64)))

Outputs
(/.f64 y (*.f64 x z))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) y) z)) (/.f64 y z)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 y z)) (/.f64 y z)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (/.f64 y z)) x)
(/.f64 (fma.f64 (*.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) z) (/.f64 y z)) x)
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) y) z)) (.f64 #s(literal 1/2 binary64) (/.f64 y z)))) (/.f64 y z)) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 y z)) (.f64 #s(literal 1/2 binary64) (/.f64 y z))) (/.f64 y z)) x)
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(*.f64 (/.f64 (cosh.f64 x) x) y)
(*.f64 y (/.f64 (cosh.f64 x) x))
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (/.f64 (cosh.f64 x) x) y)
(*.f64 y (/.f64 (cosh.f64 x) x))
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (cosh.f64 x) x) y)
(*.f64 y (/.f64 (cosh.f64 x) x))
(pow.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 1 binary64))
(*.f64 (/.f64 (cosh.f64 x) x) y)
(*.f64 y (/.f64 (cosh.f64 x) x))
(pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) (/.f64 y x))) #s(literal 3 binary64))
(*.f64 (/.f64 (cosh.f64 x) x) y)
(*.f64 y (/.f64 (cosh.f64 x) x))
(pow.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (/.f64 (cosh.f64 x) x) y)
(*.f64 y (/.f64 (cosh.f64 x) x))
(pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 y x))) #s(literal 2 binary64))
(*.f64 (/.f64 (cosh.f64 x) x) y)
(*.f64 y (/.f64 (cosh.f64 x) x))
(sqrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 y (cosh.f64 x)) x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 y (/.f64 (cosh.f64 x) x)))
(log.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (/.f64 y x)))
(*.f64 (/.f64 (cosh.f64 x) x) y)
(*.f64 y (/.f64 (cosh.f64 x) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cosh.f64 x) (/.f64 y x)))))
(*.f64 (/.f64 (cosh.f64 x) x) y)
(*.f64 y (/.f64 (cosh.f64 x) x))
(cbrt.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 3 binary64)))
(*.f64 (/.f64 (cosh.f64 x) x) y)
(*.f64 y (/.f64 (cosh.f64 x) x))
(cbrt.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
(*.f64 (/.f64 (cosh.f64 x) x) y)
(*.f64 y (/.f64 (cosh.f64 x) x))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))
(*.f64 (/.f64 (cosh.f64 x) x) y)
(*.f64 y (/.f64 (cosh.f64 x) x))
(expm1.f64 (log1p.f64 (*.f64 (cosh.f64 x) (/.f64 y x))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 y (cosh.f64 x)) x)))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 (cosh.f64 x) x))))
(+.f64 #s(literal -1 binary64) (fma.f64 y (/.f64 (cosh.f64 x) x) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (cosh.f64 x) (/.f64 y x))))
(*.f64 (/.f64 (cosh.f64 x) x) y)
(*.f64 y (/.f64 (cosh.f64 x) x))
(exp.f64 (log.f64 (*.f64 (cosh.f64 x) (/.f64 y x))))
(*.f64 (/.f64 (cosh.f64 x) x) y)
(*.f64 y (/.f64 (cosh.f64 x) x))
(exp.f64 (.f64 (log.f64 (.f64 (cosh.f64 x) (/.f64 y x))) #s(literal 1 binary64)))
(*.f64 (/.f64 (cosh.f64 x) x) y)
(*.f64 y (/.f64 (cosh.f64 x) x))

eval110.0ms (1.2%)

Compiler: Compiled 7151 to 1427 computations (80% saved)

prune123.0ms (1.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	534	8	542
Fresh	0	0	0
Picked	3	0	3
Done	0	0	0
Total	537	8	545

Accuracy

99.6%

Counts

545 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.7%	(pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))) #s(literal 2 binary64))
	54.8%	(/.f64 (/.f64 y x) z)
	95.8%	(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z)
▶	93.3%	(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
	80.4%	(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
▶	56.0%	(/.f64 y (*.f64 x z))
▶	54.8%	(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))
▶	96.5%	(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))

Compiler

Compiled 168 to 110 computations (34.5% saved)

simplify224.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(cosh.f64 x)
✓	cost-diff	0	(*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))
✓	cost-diff	0	(sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x)))
✓	cost-diff	12864	(pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))) #s(literal 2 binary64))
	cost-diff	0	(cosh.f64 x)
	cost-diff	0	(/.f64 (cosh.f64 x) z)
✓	cost-diff	0	(*.f64 y (/.f64 (cosh.f64 x) z))
✓	cost-diff	0	(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) z)
	cost-diff	0	(/.f64 y x)
✓	cost-diff	128	(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))
✓	cost-diff	0	(*.f64 x z)
✓	cost-diff	0	(/.f64 y (*.f64 x z))
	cost-diff	0	(cosh.f64 x)
	cost-diff	0	(/.f64 (cosh.f64 x) z)
✓	cost-diff	0	(/.f64 (/.f64 (cosh.f64 x) z) x)
✓	cost-diff	0	(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))

Rules

908×	`fma-define`
593×	`distribute-lft-in`
547×	`distribute-rgt-in`
452×	`times-frac`
332×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	466
1	54	466
2	93	466
3	208	466
4	516	466
5	1160	466
6	1773	466
7	2997	466
8	4468	466
9	5052	466
10	5281	466
11	5309	466
12	5309	466
13	5412	466
14	5535	466
15	5547	466
16	5549	466
17	5554	466
18	5554	466
19	5554	466

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))
y
(/.f64 (/.f64 (cosh.f64 x) z) x)
(/.f64 (cosh.f64 x) z)
(cosh.f64 x)
x
z
(/.f64 y (*.f64 x z))
y
(*.f64 x z)
x
z
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))
(/.f64 y x)
y
x
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
(*.f64 y (/.f64 (cosh.f64 x) z))
y
(/.f64 (cosh.f64 x) z)
(cosh.f64 x)
x
z
(pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x)))
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))
(cosh.f64 x)
x
(/.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
#s(literal 2 binary64)

Outputs
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))
(.f64 y (/.f64 (cosh.f64 x) (.f64 x z)))
(.f64 (cosh.f64 x) (/.f64 y (.f64 x z)))
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
y
(/.f64 (/.f64 (cosh.f64 x) z) x)
(/.f64 (cosh.f64 x) (*.f64 x z))
(/.f64 (cosh.f64 x) z)
(cosh.f64 x)
x
z
(/.f64 y (*.f64 x z))
y
(*.f64 x z)
x
z
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))
(/.f64 y (*.f64 x z))
(/.f64 y x)
y
x
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
(.f64 y (/.f64 (cosh.f64 x) (.f64 x z)))
(.f64 (cosh.f64 x) (/.f64 y (.f64 x z)))
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
(*.f64 y (/.f64 (cosh.f64 x) z))
(/.f64 (*.f64 y (cosh.f64 x)) z)
(*.f64 (cosh.f64 x) (/.f64 y z))
y
(/.f64 (cosh.f64 x) z)
(cosh.f64 x)
x
z
(pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))) #s(literal 2 binary64))
(.f64 y (/.f64 (cosh.f64 x) (.f64 x z)))
(.f64 (cosh.f64 x) (/.f64 y (.f64 x z)))
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
(sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x)))
(sqrt.f64 (.f64 (cosh.f64 x) (/.f64 y (.f64 x z))))
(sqrt.f64 (.f64 y (/.f64 (cosh.f64 x) (.f64 x z))))
(sqrt.f64 (*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)))
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))
(.f64 y (/.f64 (cosh.f64 x) (.f64 x z)))
(.f64 (cosh.f64 x) (/.f64 y (.f64 x z)))
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
(cosh.f64 x)
x
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 y z)
y
z
#s(literal 2 binary64)

localize244.0ms (2.6%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))) #s(literal 2 binary64))
✓	accuracy	90.7%	(/.f64 (/.f64 y z) x)
✓	accuracy	89.7%	(*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))
✓	accuracy	85.0%	(sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x)))
	accuracy	100.0%	(cosh.f64 x)
	accuracy	100.0%	(/.f64 (cosh.f64 x) z)
✓	accuracy	99.5%	(*.f64 y (/.f64 (cosh.f64 x) z))
✓	accuracy	93.7%	(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) z)
✓	accuracy	91.8%	(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	94.5%	(/.f64 y (*.f64 x z))
	accuracy	100.0%	(cosh.f64 x)
	accuracy	100.0%	(/.f64 (cosh.f64 x) z)
✓	accuracy	99.8%	(/.f64 (/.f64 (cosh.f64 x) z) x)
✓	accuracy	96.5%	(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))

Results

218.0ms

256×

valid

Compiler

Compiled 118 to 23 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-div: 14.0ms (45.7% of total)

ival-mult: 7.0ms (22.9% of total)

ival-cosh: 3.0ms (9.8% of total)

ival-pow: 3.0ms (9.8% of total)

ival-sqrt: 2.0ms (6.5% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

series39.0ms (0.4%)

Counts

12 → 312

Calls

Call 1

Inputs
#<alt (*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))>
#<alt (/.f64 (/.f64 (cosh.f64 x) z) x)>
#<alt (/.f64 y (*.f64 x z))>
#<alt (*.f64 x z)>
#<alt (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))>
#<alt (/.f64 #s(literal 1 binary64) z)>
#<alt (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)>
#<alt (*.f64 y (/.f64 (cosh.f64 x) z))>
#<alt (pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))) #s(literal 2 binary64))>
#<alt (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x)))>
#<alt (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))>
#<alt (/.f64 (/.f64 y z) x)>

Outputs
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) y) z)) (/.f64 y z)) x)>
#<alt (/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) y) z)) (.f64 #s(literal 1/2 binary64) (/.f64 y z)))) (/.f64 y z)) x)>
#<alt (/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y z)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) y) z)) (.f64 #s(literal 1/24 binary64) (/.f64 y z)))))) (/.f64 y z)) x)>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (/.f64 #s(literal 1 binary64) z)) x)>
#<alt (/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal 1 binary64) z)) x)>
#<alt (/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal 1 binary64) z)) x)>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x z)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (.f64 x z)))>
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#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
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#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>

Calls

96 calls:

Time	Variable		Point	Expression
6.0ms	z	@	0	(/ (* y (/ (cosh x) z)) x)
2.0ms	x	@	-inf	(pow (sqrt (* (cosh x) (/ (/ y z) x))) 2)
2.0ms	z	@	-inf	(pow (sqrt (* (cosh x) (/ (/ y z) x))) 2)
1.0ms	y	@	-inf	(pow (sqrt (* (cosh x) (/ (/ y z) x))) 2)
1.0ms	x	@	-inf	(/ (/ (cosh x) z) x)

rewrite309.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1140×	`log1p-expm1-u`
192×	`frac-times`
182×	`times-frac`
166×	`associate-r`
162×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	320
1	449	320
2	5835	320

Stop Event

1×	node limit

Counts

12 → 703

Calls

Call 1

Inputs
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))
(/.f64 (/.f64 (cosh.f64 x) z) x)
(/.f64 y (*.f64 x z))
(*.f64 x z)
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
(*.f64 y (/.f64 (cosh.f64 x) z))
(pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x)))
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))
(/.f64 (/.f64 y z) x)

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))))) #s(literal 1 binary64))
(/.f64 y (*.f64 x (/.f64 z (cosh.f64 x))))
(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (cosh.f64 x)) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 z (cosh.f64 x)) (/.f64 x y)) #s(literal 1 binary64)))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y z)) x)
(/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (*.f64 x (/.f64 z y)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 z (cosh.f64 x)) (/.f64 x y))))
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) (neg.f64 z))) (neg.f64 x))
(/.f64 (.f64 y (cosh.f64 x)) (.f64 x z))
(/.f64 (.f64 (.f64 y (cosh.f64 x)) #s(literal 1 binary64)) (*.f64 x z))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (.f64 x (/.f64 z y))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (.f64 #s(literal 2 binary64) (.f64 x z)))
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(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))))))
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))))))
(exp.f64 (.f64 (log.f64 (/.f64 (cosh.f64 x) (.f64 x (/.f64 z y)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (.f64 x (/.f64 z y))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))))) #s(literal 1 binary64))
(/.f64 y (*.f64 x (/.f64 z (cosh.f64 x))))
(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (cosh.f64 x)) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 z (cosh.f64 x)) (/.f64 x y)) #s(literal 1 binary64)))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y z)) x)
(/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (*.f64 x (/.f64 z y)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 z (cosh.f64 x)) (/.f64 x y))))
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) (neg.f64 z))) (neg.f64 x))
(/.f64 (.f64 y (cosh.f64 x)) (.f64 x z))
(/.f64 (.f64 (.f64 y (cosh.f64 x)) #s(literal 1 binary64)) (*.f64 x z))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (.f64 x (/.f64 z y))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (.f64 #s(literal 2 binary64) (.f64 x z)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 y)) (.f64 #s(literal 2 binary64) (neg.f64 (.f64 x z))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y x)) (*.f64 #s(literal 2 binary64) z))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y z)) (*.f64 #s(literal 2 binary64) x))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y (neg.f64 z))) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (.f64 y (.f64 #s(literal 2 binary64) (cosh.f64 x))) (.f64 (.f64 x z) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 y x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 z #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 y z) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 (neg.f64 y) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (.f64 (neg.f64 (.f64 x z)) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 y (neg.f64 z)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 y (/.f64 (cosh.f64 x) (neg.f64 z)))) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y z)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z)
(/.f64 (.f64 (cosh.f64 x) (neg.f64 y)) (neg.f64 (.f64 x z)))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y (neg.f64 z))) (neg.f64 x))
(/.f64 (.f64 (/.f64 y (.f64 x z)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 y (cosh.f64 x)) (/.f64 #s(literal 1 binary64) x)) z)
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y (*.f64 x z))) #s(literal 2 binary64))
(/.f64 (.f64 (neg.f64 y) (cosh.f64 x)) (neg.f64 (.f64 x z)))
(/.f64 (*.f64 (/.f64 y (neg.f64 z)) (cosh.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y z)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y z)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 z (cosh.f64 x)) (/.f64 x y)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y z)) (neg.f64 x)))
(neg.f64 (/.f64 (*.f64 y (/.f64 (cosh.f64 x) (neg.f64 z))) x))
(sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (/.f64 y (*.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))))))
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (cosh.f64 x) (.f64 x z)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (cosh.f64 x) (.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (/.f64 y (.f64 x z)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 y (.f64 x z)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))))
(log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))))
(exp.f64 (log.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))))
(exp.f64 (.f64 (log.f64 (/.f64 (cosh.f64 x) (.f64 x (/.f64 z y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (*.f64 x z)))) #s(literal 1 binary64))
(*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) z) x))
(.f64 y (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))
(.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))
(.f64 #s(literal 1 binary64) (/.f64 y (.f64 x z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x))
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 y (.f64 x z)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 y x)) z))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(.f64 (cbrt.f64 (/.f64 y (.f64 x z))) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 x z))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y (.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (*.f64 x z))))
(.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (/.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 y z)) x))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (.f64 x z)))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
(.f64 (sqrt.f64 (/.f64 y (.f64 x z))) (sqrt.f64 (/.f64 y (*.f64 x z))))
(*.f64 (sqrt.f64 (/.f64 y x)) (/.f64 (sqrt.f64 (/.f64 y x)) z))
(.f64 (sqrt.f64 (/.f64 y x)) (.f64 (sqrt.f64 (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (/.f64 y x) (sqrt.f64 z)))
(.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 y x)))
(*.f64 (sqrt.f64 (/.f64 y z)) (/.f64 (sqrt.f64 (/.f64 y z)) x))
(.f64 (sqrt.f64 (/.f64 y z)) (.f64 (sqrt.f64 (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (.f64 x z)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
(.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x z))))
(*.f64 (/.f64 y (neg.f64 z)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y)
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (.f64 x z)) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (*.f64 x z))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 x z))) (/.f64 y (sqrt.f64 (*.f64 x z))))
(.f64 (/.f64 y (sqrt.f64 (.f64 x z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x) (/.f64 (cbrt.f64 y) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 y) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (.f64 x z)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (*.f64 x z))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (.f64 x z))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 x z))))
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) z))
(*.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) x))
(.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (.f64 x z)))
(.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (.f64 x z)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 x z))))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) z) x))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 z)))
(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 y x) (cbrt.f64 z)))
(*.f64 (/.f64 (/.f64 y x) (sqrt.f64 z)) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 y x)) z))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (.f64 x z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (/.f64 y x)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 y x)) z))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 y x)) (cbrt.f64 z)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) z) (cbrt.f64 x)))
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 y z) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 y z) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 y z)) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (.f64 x z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 y z)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 y z)) x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 y z)) (cbrt.f64 x)))
(.f64 (/.f64 y (pow.f64 (cbrt.f64 (.f64 x z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x z))))
(*.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (/.f64 y x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 z)))
(.f64 (.f64 (/.f64 y x) (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 z)))
(.f64 (.f64 (/.f64 y x) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))
(pow.f64 (/.f64 y (*.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y (*.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y (*.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y (*.f64 x z))) #s(literal 2 binary64))
(pow.f64 (*.f64 x (/.f64 z y)) #s(literal -1 binary64))
(neg.f64 (/.f64 y (neg.f64 (*.f64 x z))))
(neg.f64 (/.f64 (/.f64 y z) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 y) (*.f64 x z)))
(neg.f64 (/.f64 (/.f64 y (neg.f64 z)) x))
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 x z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y (*.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (*.f64 x z)))))
(cbrt.f64 (pow.f64 (/.f64 y (*.f64 x z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y (*.f64 x z))))
(log1p.f64 (expm1.f64 (/.f64 y (*.f64 x z))))
(exp.f64 (log.f64 (/.f64 y (*.f64 x z))))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 x z))) #s(literal 1 binary64)))

simplify1.0s (10.7%)

Algorithm

1×	egg-herbie

Rules

823×	`times-frac`
764×	`fma-define`
611×	`exp-prod`
454×	`*-commutative`
435×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	912	39719
1	2189	38865
2	6661	38865

Stop Event

1×	node limit

Counts

1015 → 540

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
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(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (cosh.f64 x) (.f64 x (/.f64 z y)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (.f64 x (/.f64 z y)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (.f64 x (/.f64 z y)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 z (cosh.f64 x)) (/.f64 x y))))
(/.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 y z))) (sqrt.f64 x))
(/.f64 (sqrt.f64 (*.f64 y (/.f64 (cosh.f64 x) (neg.f64 z)))) (sqrt.f64 (neg.f64 x)))
(pow.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))))))
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))))))
(exp.f64 (.f64 (log.f64 (/.f64 (cosh.f64 x) (.f64 x (/.f64 z y)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (.f64 x (/.f64 z y))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))))) #s(literal 1 binary64))
(/.f64 y (*.f64 x (/.f64 z (cosh.f64 x))))
(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (cosh.f64 x)) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 z (cosh.f64 x)) (/.f64 x y)) #s(literal 1 binary64)))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y z)) x)
(/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (*.f64 x (/.f64 z y)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 z (cosh.f64 x)) (/.f64 x y))))
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) (neg.f64 z))) (neg.f64 x))
(/.f64 (.f64 y (cosh.f64 x)) (.f64 x z))
(/.f64 (.f64 (.f64 y (cosh.f64 x)) #s(literal 1 binary64)) (*.f64 x z))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (.f64 x (/.f64 z y))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (.f64 #s(literal 2 binary64) (.f64 x z)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 y)) (.f64 #s(literal 2 binary64) (neg.f64 (.f64 x z))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y x)) (*.f64 #s(literal 2 binary64) z))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y z)) (*.f64 #s(literal 2 binary64) x))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y (neg.f64 z))) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (.f64 y (.f64 #s(literal 2 binary64) (cosh.f64 x))) (.f64 (.f64 x z) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 y x) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 z #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 y z) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 (neg.f64 y) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (.f64 (neg.f64 (.f64 x z)) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 y (neg.f64 z)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 y (/.f64 (cosh.f64 x) (neg.f64 z)))) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y z)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z)
(/.f64 (.f64 (cosh.f64 x) (neg.f64 y)) (neg.f64 (.f64 x z)))
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y (neg.f64 z))) (neg.f64 x))
(/.f64 (.f64 (/.f64 y (.f64 x z)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 y (cosh.f64 x)) (/.f64 #s(literal 1 binary64) x)) z)
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y (*.f64 x z))) #s(literal 2 binary64))
(/.f64 (.f64 (neg.f64 y) (cosh.f64 x)) (neg.f64 (.f64 x z)))
(/.f64 (*.f64 (/.f64 y (neg.f64 z)) (cosh.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y z)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y z)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 z (cosh.f64 x)) (/.f64 x y)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y z)) (neg.f64 x)))
(neg.f64 (/.f64 (*.f64 y (/.f64 (cosh.f64 x) (neg.f64 z))) x))
(sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cosh.f64 x)) (/.f64 y (*.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))))))
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (cosh.f64 x) (.f64 x z)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (cosh.f64 x) (.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (/.f64 y (.f64 x z)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 y (.f64 x z)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (cosh.f64 x) (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))))
(log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))))
(exp.f64 (log.f64 (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))))
(exp.f64 (.f64 (log.f64 (/.f64 (cosh.f64 x) (.f64 x (/.f64 z y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (*.f64 x z)))) #s(literal 1 binary64))
(*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) z) x))
(.f64 y (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))
(.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))
(.f64 #s(literal 1 binary64) (/.f64 y (.f64 x z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x))
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 y (.f64 x z)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 y x)) z))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(.f64 (cbrt.f64 (/.f64 y (.f64 x z))) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 x z))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y (.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (*.f64 x z))))
(.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (/.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 y z)) x))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (.f64 x z)))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
(.f64 (sqrt.f64 (/.f64 y (.f64 x z))) (sqrt.f64 (/.f64 y (*.f64 x z))))
(*.f64 (sqrt.f64 (/.f64 y x)) (/.f64 (sqrt.f64 (/.f64 y x)) z))
(.f64 (sqrt.f64 (/.f64 y x)) (.f64 (sqrt.f64 (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (/.f64 y x) (sqrt.f64 z)))
(.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 y x)))
(*.f64 (sqrt.f64 (/.f64 y z)) (/.f64 (sqrt.f64 (/.f64 y z)) x))
(.f64 (sqrt.f64 (/.f64 y z)) (.f64 (sqrt.f64 (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (.f64 x z)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
(.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x z))))
(*.f64 (/.f64 y (neg.f64 z)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y)
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (.f64 x z)) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (*.f64 x z))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 x z))) (/.f64 y (sqrt.f64 (*.f64 x z))))
(.f64 (/.f64 y (sqrt.f64 (.f64 x z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x) (/.f64 (cbrt.f64 y) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 y) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (.f64 x z)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (*.f64 x z))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (.f64 x z))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 x z))))
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) z))
(*.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) x))
(.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (.f64 x z)))
(.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (.f64 x z)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 x z))))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) z) x))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 z)))
(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 y x) (cbrt.f64 z)))
(*.f64 (/.f64 (/.f64 y x) (sqrt.f64 z)) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 y x)) z))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (.f64 x z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (/.f64 y x)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 y x)) z))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 y x)) (cbrt.f64 z)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) z) (cbrt.f64 x)))
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 y z) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 y z) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 y z)) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (.f64 x z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 y z)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 y z)) x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 y z)) (cbrt.f64 x)))
(.f64 (/.f64 y (pow.f64 (cbrt.f64 (.f64 x z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x z))))
(*.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (/.f64 y x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 z)))
(.f64 (.f64 (/.f64 y x) (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 z)))
(.f64 (.f64 (/.f64 y x) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))
(pow.f64 (/.f64 y (*.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y (*.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y (*.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y (*.f64 x z))) #s(literal 2 binary64))
(pow.f64 (*.f64 x (/.f64 z y)) #s(literal -1 binary64))
(neg.f64 (/.f64 y (neg.f64 (*.f64 x z))))
(neg.f64 (/.f64 (/.f64 y z) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 y) (*.f64 x z)))
(neg.f64 (/.f64 (/.f64 y (neg.f64 z)) x))
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 x z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y (*.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (*.f64 x z)))))
(cbrt.f64 (pow.f64 (/.f64 y (*.f64 x z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y (*.f64 x z))))
(log1p.f64 (expm1.f64 (/.f64 y (*.f64 x z))))
(exp.f64 (log.f64 (/.f64 y (*.f64 x z))))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 x z))) #s(literal 1 binary64)))

Outputs
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 y x) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) z)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (/.f64 y z) x)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 y x) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) z)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (/.f64 y z) x)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 x z)))
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(pow.f64 (sqrt.f64 (/.f64 y (*.f64 x z))) #s(literal 2 binary64))
(/.f64 (/.f64 y z) x)
(pow.f64 (*.f64 x (/.f64 z y)) #s(literal -1 binary64))
(/.f64 (/.f64 y z) x)
(neg.f64 (/.f64 y (neg.f64 (*.f64 x z))))
(/.f64 (/.f64 y z) x)
(neg.f64 (/.f64 (/.f64 y z) (neg.f64 x)))
(/.f64 (/.f64 y z) x)
(neg.f64 (/.f64 (neg.f64 y) (*.f64 x z)))
(/.f64 (/.f64 y z) x)
(neg.f64 (/.f64 (/.f64 y (neg.f64 z)) x))
(/.f64 (/.f64 y z) x)
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 x z)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 y z) x) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (/.f64 y z) x))
(log.f64 (exp.f64 (/.f64 y (*.f64 x z))))
(/.f64 (/.f64 y z) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (*.f64 x z)))))
(/.f64 (/.f64 y z) x)
(cbrt.f64 (pow.f64 (/.f64 y (*.f64 x z)) #s(literal 3 binary64)))
(/.f64 (/.f64 y z) x)
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(/.f64 (/.f64 y z) x)
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
(/.f64 (/.f64 y z) x)
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))))
(/.f64 (/.f64 y z) x)
(cbrt.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 (/.f64 y z) x)
(cbrt.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (/.f64 y z) x)
(expm1.f64 (log1p.f64 (/.f64 y (*.f64 x z))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 y z) x)))
(log1p.f64 (expm1.f64 (/.f64 y (*.f64 x z))))
(/.f64 (/.f64 y z) x)
(exp.f64 (log.f64 (/.f64 y (*.f64 x z))))
(/.f64 (/.f64 y z) x)
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 x z))) #s(literal 1 binary64)))
(/.f64 (/.f64 y z) x)

eval708.0ms (7.5%)

Compiler: Compiled 10882 to 2113 computations (80.6% saved)

prune195.0ms (2.1%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	788	11	799
Fresh	2	1	3
Picked	3	2	5
Done	0	0	0
Total	793	14	807

Accuracy

99.6%

Counts

807 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.2%	(pow.f64 (sqrt.f64 (/.f64 (/.f64 y z) x)) #s(literal 2 binary64))
	55.4%	(/.f64 (/.f64 y z) x)
▶	54.8%	(/.f64 (/.f64 y x) z)
	55.2%	(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))
▶	54.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))
	54.9%	(/.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 z))
✓	93.3%	(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
	55.3%	(/.f64 (*.f64 y (/.f64 #s(literal 1 binary64) z)) x)
✓	56.0%	(/.f64 y (*.f64 x z))
▶	54.5%	(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y x)))
	54.3%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x))
▶	55.3%	(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
▶	55.6%	(.f64 y (/.f64 #s(literal 1 binary64) (.f64 x z)))
	55.5%	(.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 261 to 180 computations (31% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 z y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))
	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(/.f64 z (/.f64 y x))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y x)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	128	(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(/.f64 (/.f64 y x) z)
	cost-diff	0	(*.f64 x z)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x z))
✓	cost-diff	128	(.f64 y (/.f64 #s(literal 1 binary64) (.f64 x z)))

Rules

15×	`associate-r`
14×	`associate-/r*`
12×	`associate-*r/`
11×	`associate-l`
8×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	330
1	43	300
2	60	300
3	102	300
4	128	300
5	132	300

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 y (/.f64 #s(literal 1 binary64) (.f64 x z)))
y
(/.f64 #s(literal 1 binary64) (*.f64 x z))
#s(literal 1 binary64)
(*.f64 x z)
x
z
(/.f64 (/.f64 y x) z)
(/.f64 y x)
y
x
z
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(/.f64 y z)
y
z
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y x)))
#s(literal 1 binary64)
(/.f64 z (/.f64 y x))
z
(/.f64 y x)
y
x
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 z y)
z
y

Outputs
(.f64 y (/.f64 #s(literal 1 binary64) (.f64 x z)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x))
(/.f64 y (*.f64 x z))
y
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/.f64 (/.f64 #s(literal 1 binary64) z) x)
#s(literal 1 binary64)
(*.f64 x z)
x
z
(/.f64 (/.f64 y x) z)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x))
(/.f64 y (*.f64 x z))
(/.f64 y x)
y
x
z
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x))
(/.f64 y (*.f64 x z))
(/.f64 y z)
y
z
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x))
(/.f64 y (*.f64 x z))
#s(literal 1 binary64)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
z
(/.f64 y x)
y
x
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x))
(/.f64 y (*.f64 x z))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 z y)
z
y

localize69.0ms (0.7%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	91.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))
	accuracy	100.0%	(/.f64 y x)
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y x)))
✓	accuracy	91.9%	(/.f64 z (/.f64 y x))
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	90.6%	(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
	accuracy	100.0%	(/.f64 y x)
✓	accuracy	91.9%	(/.f64 (/.f64 y x) z)
	accuracy	100.0%	(*.f64 x z)
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 x z))
✓	accuracy	94.3%	(.f64 y (/.f64 #s(literal 1 binary64) (.f64 x z)))

Results

48.0ms

256×

valid

Compiler

Compiled 85 to 18 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 14.0ms (71.9% of total)

ival-mult: 5.0ms (25.7% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

series20.0ms (0.2%)

Counts

10 → 216

Calls

Call 1

Inputs
#<alt (.f64 y (/.f64 #s(literal 1 binary64) (.f64 x z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 (/.f64 y x) z)>
#<alt (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 y z)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y x)))>
#<alt (/.f64 z (/.f64 y x))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))>
#<alt (/.f64 z y)>

Outputs
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>

Calls

75 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ z (/ y x))
0.0ms	y	@	0	(/ z (/ y x))
0.0ms	x	@	inf	(/ z (/ y x))
0.0ms	y	@	-inf	(/ y z)
0.0ms	y	@	-inf	(/ z (/ y x))

rewrite268.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

896×	`log1p-expm1-u`
896×	`expm1-log1p-u`
225×	`frac-times`
220×	`log1p-undefine`
121×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	187
1	363	187
2	4500	187

Stop Event

1×	node limit

Counts

10 → 701

Calls

Call 1

Inputs
(.f64 y (/.f64 #s(literal 1 binary64) (.f64 x z)))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/.f64 (/.f64 y x) z)
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(/.f64 y z)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y x)))
(/.f64 z (/.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))
(/.f64 z y)

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 y z) x))) #s(literal 1 binary64))
(/.f64 y (*.f64 x z))
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 y x) z)
(/.f64 (/.f64 y x) (neg.f64 (neg.f64 z)))
(/.f64 (/.f64 y z) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (/.f64 x y)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 z y)))
(/.f64 (sqrt.f64 (/.f64 (/.f64 y z) x)) (sqrt.f64 (*.f64 x (/.f64 z y))))
(/.f64 (neg.f64 y) (*.f64 x (neg.f64 z)))
(/.f64 (/.f64 (neg.f64 y) x) (neg.f64 z))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 z) y))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))
(/.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 x (neg.f64 z)))
(/.f64 (.f64 y #s(literal -1 binary64)) (.f64 x (neg.f64 z)))
(/.f64 (*.f64 (/.f64 y z) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (neg.f64 x))
(/.f64 (.f64 (neg.f64 y) #s(literal -1 binary64)) (.f64 (neg.f64 z) (neg.f64 x)))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 y)) (.f64 (neg.f64 x) (neg.f64 z)))
(/.f64 (neg.f64 (/.f64 y z)) (neg.f64 x))
(/.f64 (/.f64 y (sqrt.f64 (.f64 x z))) (sqrt.f64 (.f64 x z)))
(/.f64 (/.f64 y #s(literal 1 binary64)) (*.f64 x z))
(/.f64 (/.f64 (/.f64 y x) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 (/.f64 y z) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 z y))) (sqrt.f64 (/.f64 z y)))
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (.f64 x z)))
(/.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (/.f64 y z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) z)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (/.f64 x y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y)) (neg.f64 z))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (.f64 x (/.f64 z y))) #s(literal 2 binary64))) (cbrt.f64 (.f64 x (/.f64 z y))))
(/.f64 (/.f64 (/.f64 y x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 z y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)))
(pow.f64 (/.f64 (/.f64 y z) x) #s(literal 1 binary64))
(pow.f64 (*.f64 x (/.f64 z y)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 y z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 y z) x)) #s(literal 2 binary64))
(neg.f64 (/.f64 (/.f64 y x) (neg.f64 z)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 z) y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (/.f64 z y))))
(neg.f64 (/.f64 (/.f64 (neg.f64 y) x) z))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z y)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 y z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (/.f64 y z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 y z) x))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 y z) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 y z) x)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 y z) x)))
(exp.f64 (log.f64 (/.f64 (/.f64 y z) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y z) x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 z y))) #s(literal -1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (neg.f64 z))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) z))
(.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x)) (cbrt.f64 (pow.f64 (.f64 x z) #s(literal -2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x z) #s(literal -2 binary64))) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) z))
(.f64 (pow.f64 (.f64 x z) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x z)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal -1 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 x z)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) z))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) z))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (sqrt.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 z)))
(pow.f64 (*.f64 x z) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)))
(sqrt.f64 (pow.f64 (*.f64 x z) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
(exp.f64 (neg.f64 (log.f64 (*.f64 x z))))
(exp.f64 (.f64 (log.f64 (.f64 x z)) #s(literal -1 binary64)))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 y z) x))) #s(literal 1 binary64))
(*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) z) x))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y)
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (/.f64 y z) x) #s(literal 1 binary64))
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 z) (/.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 z y)))
(.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 y x)) z))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 y z) x)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 y z) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 y z) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (/.f64 y z) x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x z) #s(literal -2 binary64))) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x)) y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 y z)) x))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (.f64 x z)))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 y z) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 z y)))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 y z)))
(*.f64 (sqrt.f64 (/.f64 y x)) (/.f64 (sqrt.f64 (/.f64 y x)) z))
(.f64 (sqrt.f64 (/.f64 y x)) (.f64 (sqrt.f64 (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 y z) x)) (sqrt.f64 (/.f64 (/.f64 y z) x)))
(.f64 (pow.f64 (.f64 x z) #s(literal -1/2 binary64)) (/.f64 y (sqrt.f64 (*.f64 x z))))
(.f64 (pow.f64 (.f64 x z) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 x z) #s(literal -1/2 binary64)) y))
(*.f64 (sqrt.f64 (/.f64 y z)) (/.f64 (sqrt.f64 (/.f64 y z)) x))
(*.f64 (sqrt.f64 (/.f64 y z)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 z y))))
(.f64 (sqrt.f64 (/.f64 y z)) (.f64 (sqrt.f64 (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (.f64 x z)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) y)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 z y))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) #s(literal -1 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (/.f64 z y))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (.f64 x z)) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (*.f64 x z))))
(.f64 (/.f64 y (sqrt.f64 (.f64 x z))) (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (.f64 x z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x) (/.f64 (cbrt.f64 y) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 y) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (/.f64 y z) x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (.f64 x z))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 x z))))
(.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (.f64 x z)))
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) z))
(*.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) x))
(.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (.f64 x z)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 x z))))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) z) x))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 z)))
(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 y x) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 y x)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (/.f64 y z) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (/.f64 y x)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 y x)) z))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 y x)) (cbrt.f64 z)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) z) (cbrt.f64 x)))
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 y z) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 y z) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 y z)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (/.f64 y z) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 y z)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 y z)) x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 y z)) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (/.f64 z y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 z y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) z) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (/.f64 y z) x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (sqrt.f64 (/.f64 z y))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (sqrt.f64 (/.f64 z y))))
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(.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 y z) x)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 y z) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 y z) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (/.f64 y z) x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x z) #s(literal -2 binary64))) (*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x)) y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 y z)) x))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (.f64 x z)))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 y z) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 z y)))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 y z)))
(*.f64 (sqrt.f64 (/.f64 y x)) (/.f64 (sqrt.f64 (/.f64 y x)) z))
(.f64 (sqrt.f64 (/.f64 y x)) (.f64 (sqrt.f64 (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 y z) x)) (sqrt.f64 (/.f64 (/.f64 y z) x)))
(.f64 (pow.f64 (.f64 x z) #s(literal -1/2 binary64)) (/.f64 y (sqrt.f64 (*.f64 x z))))
(.f64 (pow.f64 (.f64 x z) #s(literal -1/2 binary64)) (.f64 (pow.f64 (.f64 x z) #s(literal -1/2 binary64)) y))
(*.f64 (sqrt.f64 (/.f64 y z)) (/.f64 (sqrt.f64 (/.f64 y z)) x))
(*.f64 (sqrt.f64 (/.f64 y z)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 z y))))
(.f64 (sqrt.f64 (/.f64 y z)) (.f64 (sqrt.f64 (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (.f64 x z)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) y)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 z y))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) #s(literal -1 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (/.f64 z y))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (.f64 x z)) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (*.f64 x z))))
(.f64 (/.f64 y (sqrt.f64 (.f64 x z))) (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (.f64 x z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x) (/.f64 (cbrt.f64 y) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 y) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (/.f64 y z) x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (.f64 x z))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 x z))))
(.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (.f64 x z)))
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) z))
(*.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) x))
(.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (.f64 x z)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 x z))))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) z) x))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 z)))
(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 y x) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 y x)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (/.f64 y z) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (/.f64 y x)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 y x)) z))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 y x)) (cbrt.f64 z)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) z) (cbrt.f64 x)))
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 y z) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 y z) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 y z)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (/.f64 y z) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 y z)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 y z)) x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 y z)) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (/.f64 z y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 z y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) z) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (/.f64 y z) x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (sqrt.f64 (/.f64 z y))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (sqrt.f64 (/.f64 z y))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 z y)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) z) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (/.f64 z y))))
(.f64 (/.f64 y (pow.f64 (cbrt.f64 (.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
(*.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 y z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 (neg.f64 y) x))
(.f64 (.f64 y (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal -2 binary64)))) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
(.f64 (.f64 y (pow.f64 (.f64 x z) #s(literal -1/2 binary64))) (pow.f64 (.f64 x z) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (.f64 (/.f64 y z) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(.f64 (.f64 (/.f64 y z) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (/.f64 y x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 y z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 z)) (neg.f64 y))
(pow.f64 (/.f64 (/.f64 y z) x) #s(literal 1 binary64))
(pow.f64 (*.f64 x (/.f64 z y)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 y z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 y z) x)) #s(literal 2 binary64))
(neg.f64 (/.f64 (/.f64 y x) (neg.f64 z)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 z) y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (/.f64 z y))))
(neg.f64 (/.f64 (/.f64 (neg.f64 y) x) z))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z y)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 y z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (/.f64 y z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 y z) x))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 y z) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 y z) x)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 y z) x)))
(exp.f64 (log.f64 (/.f64 (/.f64 y z) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y z) x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 z y))) #s(literal -1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 z y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 z y)) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z y)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) y))
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 z y)) (sqrt.f64 (/.f64 z y)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) y))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 z) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) y))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 z))
(pow.f64 (/.f64 y z) #s(literal -1 binary64))
(pow.f64 (/.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))
(neg.f64 (/.f64 (neg.f64 z) y))
(sqrt.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z y))))
(cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(log1p.f64 (expm1.f64 (/.f64 z y)))
(exp.f64 (log.f64 (/.f64 z y)))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal 1 binary64)))

simplify284.0ms (3%)

Algorithm

1×	egg-herbie

Rules

756×	`exp-prod`
502×	`associate-r`
456×	`associate-*r/`
433×	`associate-l`
430×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	726	22241
1	1623	21941
2	6632	21941

Stop Event

1×	node limit

Counts

917 → 424

Calls

Call 1

Inputs
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 z) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) y))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 z))
(pow.f64 (/.f64 y z) #s(literal -1 binary64))
(pow.f64 (/.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))
(neg.f64 (/.f64 (neg.f64 z) y))
(sqrt.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z y))))
(cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(log1p.f64 (expm1.f64 (/.f64 z y)))
(exp.f64 (log.f64 (/.f64 z y)))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal 1 binary64)))

Outputs
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
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(/.f64 y (*.f64 x z))
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(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
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(*.f64 (/.f64 (/.f64 y z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(/.f64 y (*.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 (neg.f64 y) x))
(/.f64 y (*.f64 x z))
(.f64 (.f64 y (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal -2 binary64)))) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x z) #s(literal -2 binary64))) (.f64 y (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)))))
(.f64 y (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x z))) (cbrt.f64 (pow.f64 (.f64 x z) #s(literal -2 binary64)))))
(.f64 (.f64 y (pow.f64 (.f64 x z) #s(literal -1/2 binary64))) (pow.f64 (.f64 x z) #s(literal -1/2 binary64)))
(/.f64 y (*.f64 x z))
(.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 y (*.f64 x z))
(.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 y (*.f64 x z))
(.f64 (.f64 (/.f64 y z) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 z y)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 y (cbrt.f64 x)) z))
(.f64 (.f64 (/.f64 y z) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 y (*.f64 x z))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(/.f64 y (*.f64 x z))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)))
(/.f64 y (*.f64 x z))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (/.f64 y x))
(/.f64 y (*.f64 x z))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y x)))
(/.f64 y (*.f64 x z))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))
(/.f64 y (*.f64 x z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 y z))
(/.f64 y (*.f64 x z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 z)) (neg.f64 y))
(/.f64 y (*.f64 x z))
(pow.f64 (/.f64 (/.f64 y z) x) #s(literal 1 binary64))
(/.f64 y (*.f64 x z))
(pow.f64 (*.f64 x (/.f64 z y)) #s(literal -1 binary64))
(/.f64 y (*.f64 x z))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 y z) x)) #s(literal 3 binary64))
(/.f64 y (*.f64 x z))
(pow.f64 (pow.f64 (/.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 y (*.f64 x z))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 y z) x)) #s(literal 2 binary64))
(/.f64 y (*.f64 x z))
(neg.f64 (/.f64 (/.f64 y x) (neg.f64 z)))
(/.f64 y (*.f64 x z))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 z) y)))
(/.f64 y (*.f64 x z))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (/.f64 z y))))
(/.f64 y (*.f64 x z))
(neg.f64 (/.f64 (/.f64 (neg.f64 y) x) z))
(/.f64 y (*.f64 x z))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z y)))
(/.f64 y (*.f64 x z))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 y z) x) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 x z)) #s(literal 2 binary64)))
(fabs.f64 (/.f64 y (*.f64 x z)))
(log.f64 (exp.f64 (/.f64 (/.f64 y z) x)))
(/.f64 y (*.f64 x z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 y z) x))))
(/.f64 y (*.f64 x z))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 y z) x) #s(literal 3 binary64)))
(/.f64 y (*.f64 x z))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal 3 binary64))))
(/.f64 y (*.f64 x z))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 y (*.f64 x z))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(/.f64 y (*.f64 x z))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64))))
(/.f64 y (*.f64 x z))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))))
(/.f64 y (*.f64 x z))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 y (*.f64 x z))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 y (*.f64 x z))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))))
(/.f64 y (*.f64 x z))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 y z) x)))
(expm1.f64 (log1p.f64 (/.f64 y (*.f64 x z))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 y z) x)))
(/.f64 y (*.f64 x z))
(exp.f64 (log.f64 (/.f64 (/.f64 y z) x)))
(/.f64 y (*.f64 x z))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y z) x)) #s(literal 1 binary64)))
(/.f64 y (*.f64 x z))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 z y))) #s(literal -1 binary64)))
(/.f64 y (*.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(*.f64 #s(literal 1 binary64) (/.f64 z y))
(/.f64 z y)
(*.f64 z (/.f64 #s(literal 1 binary64) y))
(/.f64 z y)
(*.f64 (/.f64 z y) #s(literal 1 binary64))
(/.f64 z y)
(*.f64 (cbrt.f64 (/.f64 z y)) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)))
(/.f64 z y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z y)))
(/.f64 z y)
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) y))
(/.f64 z y)
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) y)))
(/.f64 z y)
(*.f64 (sqrt.f64 (/.f64 z y)) (sqrt.f64 (/.f64 z y)))
(/.f64 z y)
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) y))
(/.f64 z y)
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)))
(/.f64 z y)
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 z y)
(*.f64 (/.f64 #s(literal 1 binary64) y) z)
(/.f64 z y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(/.f64 (/.f64 z (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(/.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) y))
(/.f64 z y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)))
(*.f64 (cbrt.f64 (/.f64 z y)) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 z y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 z) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(/.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) y))
(/.f64 z y)
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(/.f64 (/.f64 z (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 z))
(/.f64 z y)
(pow.f64 (/.f64 y z) #s(literal -1 binary64))
(/.f64 z y)
(pow.f64 (/.f64 z y) #s(literal 1 binary64))
(/.f64 z y)
(pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 3 binary64))
(/.f64 z y)
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 z y)
(pow.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))
(/.f64 z y)
(neg.f64 (/.f64 (neg.f64 z) y))
(/.f64 z y)
(sqrt.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(fabs.f64 (/.f64 z y))
(log.f64 (exp.f64 (/.f64 z y)))
(/.f64 z y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z y))))
(/.f64 z y)
(cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)))
(/.f64 z y)
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 z y)
(expm1.f64 (log1p.f64 (/.f64 z y)))
(log1p.f64 (expm1.f64 (/.f64 z y)))
(/.f64 z y)
(exp.f64 (log.f64 (/.f64 z y)))
(/.f64 z y)
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal 1 binary64)))
(/.f64 z y)

eval188.0ms (2%)

Compiler: Compiled 6290 to 1320 computations (79% saved)

prune98.0ms (1%)

Pruning

20 alts after pruning (13 fresh and 7 done)

	Pruned	Kept	Total
New	543	9	552
Fresh	3	4	7
Picked	0	5	5
Done	0	2	2
Total	546	20	566

Accuracy

99.6%

Counts

566 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.5%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) (/.f64 #s(literal 1 binary64) y))
▶	55.4%	(/.f64 (/.f64 y z) x)
✓	54.8%	(/.f64 (/.f64 y x) z)
✓	54.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))
▶	54.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) y) z))
	54.9%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z)
✓	93.3%	(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
▶	55.3%	(/.f64 (*.f64 y (/.f64 #s(literal 1 binary64) z)) x)
✓	56.0%	(/.f64 y (*.f64 x z))
▶	55.6%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))
✓	54.5%	(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y x)))
	54.3%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x))
	54.5%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 z)))
	55.5%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x z)))
	55.6%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y)
	55.6%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 z)) (neg.f64 y))
✓	55.3%	(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
▶	55.3%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 #s(literal 1 binary64) x))
✓	55.6%	(.f64 y (/.f64 #s(literal 1 binary64) (.f64 x z)))
	55.5%	(.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 355 to 243 computations (31.5% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) y) z)
✓	cost-diff	256	(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) y) z))
	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
	cost-diff	0	(/.f64 #s(literal 1 binary64) z)
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) z) y)
✓	cost-diff	256	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 #s(literal 1 binary64) x))
	cost-diff	0	(/.f64 #s(literal 1 binary64) z)
✓	cost-diff	128	(*.f64 y (/.f64 #s(literal 1 binary64) z))
✓	cost-diff	128	(/.f64 (*.f64 y (/.f64 #s(literal 1 binary64) z)) x)
	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(/.f64 (/.f64 y z) x)
	cost-diff	0	(*.f64 x z)
✓	cost-diff	0	(/.f64 (*.f64 x z) y)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))

Rules

36×	`times-frac`
27×	`associate-/r*`
20×	`associate-r`
17×	`associate-l`
15×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	347
1	55	311
2	96	311
3	193	311
4	221	311

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))
#s(literal 1 binary64)
(/.f64 (*.f64 x z) y)
(*.f64 x z)
x
z
y
(/.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
x
(/.f64 (*.f64 y (/.f64 #s(literal 1 binary64) z)) x)
(*.f64 y (/.f64 #s(literal 1 binary64) z))
y
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
x
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
(/.f64 #s(literal 1 binary64) x)
x
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) y) z))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 (/.f64 #s(literal 1 binary64) y) z)
(/.f64 #s(literal 1 binary64) y)
y
z

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y)
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
#s(literal 1 binary64)
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 x z)
x
z
y
(/.f64 (/.f64 y z) x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y)
(/.f64 y (*.f64 x z))
(/.f64 y z)
y
z
x
(/.f64 (*.f64 y (/.f64 #s(literal 1 binary64) z)) x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y)
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(/.f64 y z)
y
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
x
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y)
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(/.f64 y z)
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
(/.f64 #s(literal 1 binary64) x)
x
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) y) z))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) y)
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 (/.f64 #s(literal 1 binary64) y) z)
(*.f64 z (/.f64 #s(literal 1 binary64) y))
(/.f64 z y)
(/.f64 #s(literal 1 binary64) y)
y
z

localize81.0ms (0.9%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) y) z)
✓	accuracy	91.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) y) z))
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) z)
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) z) y)
✓	accuracy	90.6%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 #s(literal 1 binary64) x))
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) z)
✓	accuracy	99.7%	(*.f64 y (/.f64 #s(literal 1 binary64) z))
✓	accuracy	90.7%	(/.f64 (*.f64 y (/.f64 #s(literal 1 binary64) z)) x)
	accuracy	100.0%	(/.f64 y z)
✓	accuracy	90.7%	(/.f64 (/.f64 y z) x)
	accuracy	100.0%	(*.f64 x z)
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))
✓	accuracy	94.3%	(/.f64 (*.f64 x z) y)

Results

55.0ms

256×

valid

Compiler

Compiled 99 to 20 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 19.0ms (69.1% of total)

ival-mult: 8.0ms (29.1% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

series152.0ms (1.6%)

Counts

10 → 252

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (/.f64 y z) x)>
#<alt (/.f64 (*.f64 y (/.f64 #s(literal 1 binary64) z)) x)>
#<alt (*.f64 y (/.f64 #s(literal 1 binary64) z))>
#<alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) z) y)>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) y) z))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) y) z)>
#<alt (/.f64 #s(literal 1 binary64) y)>

Outputs
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
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#<alt (/.f64 y z)>
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#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y z)>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 y (*.f64 x z))>
#<alt (/.f64 z y)>
#<alt (/.f64 z y)>
#<alt (/.f64 z y)>
#<alt (/.f64 z y)>
#<alt (/.f64 z y)>
#<alt (/.f64 z y)>
#<alt (/.f64 z y)>
#<alt (/.f64 z y)>
#<alt (/.f64 z y)>
#<alt (/.f64 z y)>
#<alt (/.f64 z y)>
#<alt (/.f64 z y)>
#<alt (/.f64 z y)>
#<alt (/.f64 z y)>
#<alt (/.f64 z y)>
#<alt (/.f64 z y)>
#<alt (/.f64 z y)>
#<alt (/.f64 z y)>
#<alt (/.f64 z y)>
#<alt (/.f64 z y)>
#<alt (/.f64 z y)>
#<alt (/.f64 z y)>
#<alt (/.f64 z y)>
#<alt (/.f64 z y)>

Calls

75 calls:

Time	Variable		Point	Expression
144.0ms	y	@	-inf	(/ 1 y)
0.0ms	y	@	0	(/ 1 y)
0.0ms	x	@	0	(/ 1 (/ (* x z) y))
0.0ms	y	@	-inf	(/ (/ 1 x) (* (/ 1 y) z))
0.0ms	y	@	0	(* (* (/ 1 z) y) (/ 1 x))

rewrite204.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

921×	`log1p-expm1-u`
882×	`expm1-log1p-u`
183×	`frac-times`
129×	`associate-r`
128×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	211
1	413	181
2	4767	181

Stop Event

1×	node limit

Counts

10 → 683

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x z) y)
(/.f64 (/.f64 y z) x)
(/.f64 (*.f64 y (/.f64 #s(literal 1 binary64) z)) x)
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) y) z))
(*.f64 (/.f64 #s(literal 1 binary64) y) z)
(/.f64 #s(literal 1 binary64) y)

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (*.f64 x z)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 y (.f64 x z)))
(*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) z) x))
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 y (.f64 x z)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (/.f64 z y))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 y z)) x))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (cbrt.f64 (/.f64 y (.f64 x z))) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 x z))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y (.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (*.f64 x z))))
(.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (/.f64 y x)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 z y)))
(.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 y z)))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (.f64 x z)))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
(*.f64 (sqrt.f64 (/.f64 y z)) (/.f64 (sqrt.f64 (/.f64 y z)) x))
(*.f64 (sqrt.f64 (/.f64 y z)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 z y))))
(.f64 (sqrt.f64 (/.f64 y z)) (.f64 (sqrt.f64 (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (sqrt.f64 (/.f64 y (.f64 x z))) (sqrt.f64 (/.f64 y (*.f64 x z))))
(.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 y z) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 z y)))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 y z)))
(.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (.f64 x z)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 z)))
(*.f64 (/.f64 y (neg.f64 z)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (/.f64 x y))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) #s(literal -1 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 z (/.f64 x y))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (.f64 x z)) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (*.f64 x z))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 x z))) (/.f64 y (sqrt.f64 (*.f64 x z))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (.f64 x z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x) (/.f64 (cbrt.f64 y) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 y) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (*.f64 x z))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (.f64 x z))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 x z))))
(.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (.f64 x z)))
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) z))
(*.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) x))
(.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (.f64 x z)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 x z))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 y z) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 y z) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) z) (cbrt.f64 x)))
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (/.f64 y x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 y z)) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (.f64 x z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 y z)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 y z)) x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 y z)) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (/.f64 z y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 z y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) z) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) z))
(.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (.f64 x z))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (sqrt.f64 (/.f64 z y))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (sqrt.f64 (/.f64 z y))))
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(pow.f64 (pow.f64 (/.f64 y (*.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y (*.f64 x z))) #s(literal 2 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (neg.f64 y))))
(neg.f64 (/.f64 (/.f64 y z) (neg.f64 x)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z y)))
(neg.f64 (/.f64 (/.f64 y (neg.f64 z)) x))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (/.f64 x y))))
(sqrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 y (*.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (*.f64 x z)))))
(cbrt.f64 (pow.f64 (/.f64 y (*.f64 x z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y (*.f64 x z))))
(log1p.f64 (expm1.f64 (/.f64 y (*.f64 x z))))
(exp.f64 (log.f64 (/.f64 y (*.f64 x z))))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 x z))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 z (/.f64 x y))) #s(literal -1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z y))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 z y)
(/.f64 (neg.f64 z) (neg.f64 y))
(/.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (*.f64 z #s(literal -1 binary64)) (neg.f64 y))
(pow.f64 (/.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z y))))
(cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(log1p.f64 (expm1.f64 (/.f64 z y)))
(exp.f64 (log.f64 (/.f64 z y)))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 y) #s(literal -1 binary64)))
(pow.f64 y #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) y))
(sqrt.f64 (pow.f64 y #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) y))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) y)))
(exp.f64 (neg.f64 (log.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 1 binary64)))

simplify354.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

634×	`exp-prod`
440×	`associate-r`
421×	`associate-*r/`
414×	`associate-l`
384×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	668	21807
1	1565	21435
2	6553	21435

Stop Event

1×	node limit

Counts

935 → 359

Calls

Call 1

Inputs
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
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(/.f64 y (*.f64 x z))
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(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
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(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
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(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
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(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
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(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (*.f64 x z)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 y (.f64 x z)))
(*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) z) x))
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 y (.f64 x z)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (/.f64 z y))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 y z)) x))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (cbrt.f64 (/.f64 y (.f64 x z))) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 x z))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y (.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (*.f64 x z))))
(.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (/.f64 y x)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 z y)))
(.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 y z)))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (.f64 x z)))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
(*.f64 (sqrt.f64 (/.f64 y z)) (/.f64 (sqrt.f64 (/.f64 y z)) x))
(*.f64 (sqrt.f64 (/.f64 y z)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 z y))))
(.f64 (sqrt.f64 (/.f64 y z)) (.f64 (sqrt.f64 (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (sqrt.f64 (/.f64 y (.f64 x z))) (sqrt.f64 (/.f64 y (*.f64 x z))))
(.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 y z) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 z y)))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 y z)))
(.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (.f64 x z)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 z)))
(*.f64 (/.f64 y (neg.f64 z)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (/.f64 x y))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) #s(literal -1 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 z (/.f64 x y))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (.f64 x z)) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (*.f64 x z))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 x z))) (/.f64 y (sqrt.f64 (*.f64 x z))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (.f64 x z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x) (/.f64 (cbrt.f64 y) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 y) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (*.f64 x z))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (.f64 x z))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 x z))))
(.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (.f64 x z)))
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) z))
(*.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) x))
(.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (.f64 x z)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 x z))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 y z) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 y z) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) z) (cbrt.f64 x)))
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (/.f64 y x))
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(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) z) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) z))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (/.f64 z y))))
(*.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 y z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64)) y)
(.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (.f64 (/.f64 y z) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(.f64 (.f64 (/.f64 y z) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) y)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (neg.f64 z))) (neg.f64 y))
(pow.f64 (*.f64 z (/.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 y (*.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y (*.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y (*.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y (*.f64 x z))) #s(literal 2 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (neg.f64 y))))
(neg.f64 (/.f64 (/.f64 y z) (neg.f64 x)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z y)))
(neg.f64 (/.f64 (/.f64 y (neg.f64 z)) x))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (/.f64 x y))))
(sqrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 y (*.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (*.f64 x z)))))
(cbrt.f64 (pow.f64 (/.f64 y (*.f64 x z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y (*.f64 x z))))
(log1p.f64 (expm1.f64 (/.f64 y (*.f64 x z))))
(exp.f64 (log.f64 (/.f64 y (*.f64 x z))))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 x z))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 z (/.f64 x y))) #s(literal -1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z y))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 z y)
(/.f64 (neg.f64 z) (neg.f64 y))
(/.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (*.f64 z #s(literal -1 binary64)) (neg.f64 y))
(pow.f64 (/.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z y))))
(cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(log1p.f64 (expm1.f64 (/.f64 z y)))
(exp.f64 (log.f64 (/.f64 z y)))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 y) #s(literal -1 binary64)))
(pow.f64 y #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) y))
(sqrt.f64 (pow.f64 y #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) y))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) y)))
(exp.f64 (neg.f64 (log.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 1 binary64)))

Outputs
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
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(/.f64 y (*.f64 x z))
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(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
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(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
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(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
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(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
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(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
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(/.f64 y z)
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(/.f64 y z)
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(/.f64 y z)
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(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
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(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
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(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
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(/.f64 y (*.f64 x z))
(/.f64 y z)
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(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
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(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
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(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
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(/.f64 y (*.f64 x z))
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(/.f64 y (*.f64 x z))
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(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
(/.f64 y (*.f64 x z))
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(/.f64 y (*.f64 x z))
(/.f64 z y)
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(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (*.f64 x z)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 y (*.f64 x z))))
(.f64 #s(literal 1 binary64) (/.f64 y (.f64 x z)))
(/.f64 y (*.f64 x z))
(*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) z) x))
(/.f64 y (*.f64 x z))
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(/.f64 y (*.f64 x z))
(.f64 (/.f64 y (.f64 x z)) #s(literal 1 binary64))
(/.f64 y (*.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x))
(/.f64 y (*.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y z))
(/.f64 y (*.f64 x z))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (/.f64 z y))))
(/.f64 y (*.f64 x z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 y z)) x))
(/.f64 y (*.f64 x z))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 y (*.f64 x z))
(.f64 (cbrt.f64 (/.f64 y (.f64 x z))) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 x z))) #s(literal 2 binary64)))
(/.f64 y (*.f64 x z))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y (.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (*.f64 x z))))
(/.f64 y (*.f64 x z))
(.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (/.f64 y x)))
(.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (cbrt.f64 z))))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (/.f64 (/.f64 y (cbrt.f64 z)) x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 z y)))
(.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (cbrt.f64 x))) y))
(.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 y (.f64 z (cbrt.f64 x))))
(.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 y z)))
(.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (cbrt.f64 x))) y))
(.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 y (.f64 z (cbrt.f64 x))))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (.f64 x z)))
(/.f64 y (*.f64 x z))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
(/.f64 y (*.f64 x z))
(*.f64 (sqrt.f64 (/.f64 y z)) (/.f64 (sqrt.f64 (/.f64 y z)) x))
(/.f64 y (*.f64 x z))
(*.f64 (sqrt.f64 (/.f64 y z)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 z y))))
(.f64 (sqrt.f64 (/.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 z y)))))
(/.f64 (sqrt.f64 (/.f64 y z)) (*.f64 x (sqrt.f64 (/.f64 z y))))
(.f64 (sqrt.f64 (/.f64 y z)) (.f64 (sqrt.f64 (/.f64 y z)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 y (*.f64 x z))
(.f64 (sqrt.f64 (/.f64 y (.f64 x z))) (sqrt.f64 (/.f64 y (*.f64 x z))))
(/.f64 y (*.f64 x z))
(.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 y x)))
(/.f64 y (*.f64 x z))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 y z) (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) z) (sqrt.f64 x))
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(pow.f64 (sqrt.f64 (/.f64 y (*.f64 x z))) #s(literal 2 binary64))
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(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (neg.f64 y))))
(/.f64 y (*.f64 x z))
(neg.f64 (/.f64 (/.f64 y z) (neg.f64 x)))
(/.f64 y (*.f64 x z))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z y)))
(/.f64 y (*.f64 x z))
(neg.f64 (/.f64 (/.f64 y (neg.f64 z)) x))
(/.f64 y (*.f64 x z))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (/.f64 x y))))
(/.f64 y (*.f64 x z))
(sqrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 y (*.f64 x z))))
(/.f64 y (*.f64 x z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (*.f64 x z)))))
(/.f64 y (*.f64 x z))
(cbrt.f64 (pow.f64 (/.f64 y (*.f64 x z)) #s(literal 3 binary64)))
(/.f64 y (*.f64 x z))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(/.f64 y (*.f64 x z))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64))))
(/.f64 y (*.f64 x z))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))))
(/.f64 y (*.f64 x z))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 y (*.f64 x z))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 z y) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y (*.f64 x z))))
(log1p.f64 (expm1.f64 (/.f64 y (*.f64 x z))))
(/.f64 y (*.f64 x z))
(exp.f64 (log.f64 (/.f64 y (*.f64 x z))))
(/.f64 y (*.f64 x z))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 x z))) #s(literal 1 binary64)))
(/.f64 y (*.f64 x z))
(exp.f64 (.f64 (log.f64 (.f64 z (/.f64 x y))) #s(literal -1 binary64)))
(/.f64 y (*.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 z y)
(/.f64 z y)
(/.f64 (neg.f64 z) (neg.f64 y))
(/.f64 z y)
(/.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 z y)
(/.f64 (/.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 z y)
(/.f64 (*.f64 z #s(literal -1 binary64)) (neg.f64 y))
(/.f64 z y)
(pow.f64 (/.f64 z y) #s(literal 1 binary64))
(/.f64 z y)
(pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 3 binary64))
(/.f64 z y)
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 z y)
(pow.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))
(/.f64 z y)
(sqrt.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(fabs.f64 (/.f64 z y))
(log.f64 (exp.f64 (/.f64 z y)))
(/.f64 z y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z y))))
(/.f64 z y)
(cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)))
(/.f64 z y)
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(/.f64 z y)
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 z y)
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 z y)
(expm1.f64 (log1p.f64 (/.f64 z y)))
(log1p.f64 (expm1.f64 (/.f64 z y)))
(/.f64 z y)
(exp.f64 (log.f64 (/.f64 z y)))
(/.f64 z y)
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal 1 binary64)))
(/.f64 z y)
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) y)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) y)
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (cbrt.f64 y))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(/.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (cbrt.f64 y))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) y)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 y) #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 y) #s(literal -2 binary64))
(pow.f64 y #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) y)
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) y)
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) y)
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) y)
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) y)
(neg.f64 (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(sqrt.f64 (pow.f64 y #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) y))))
(/.f64 #s(literal 1 binary64) y)
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) y)
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) y)
(exp.f64 (neg.f64 (log.f64 y)))
(/.f64 #s(literal 1 binary64) y)
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) y)
(exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) y)

eval68.0ms (0.7%)

Compiler: Compiled 6095 to 1331 computations (78.2% saved)

prune93.0ms (1%)

Pruning

23 alts after pruning (12 fresh and 11 done)

	Pruned	Kept	Total
New	530	6	536
Fresh	2	6	8
Picked	1	4	5
Done	0	7	7
Total	533	23	556

Accuracy

99.6%

Counts

556 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.3%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)) x)
	55.5%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) (/.f64 #s(literal 1 binary64) y))
✓	55.4%	(/.f64 (/.f64 y z) x)
✓	54.8%	(/.f64 (/.f64 y x) z)
	55.3%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) x)
✓	54.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))
	55.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 y z)))
	54.9%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z)
✓	93.3%	(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
✓	55.3%	(/.f64 (*.f64 y (/.f64 #s(literal 1 binary64) z)) x)
✓	56.0%	(/.f64 y (*.f64 x z))
✓	55.6%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))
✓	54.5%	(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y x)))
	54.3%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x))
	55.3%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 z))) (neg.f64 x)))
	54.5%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) z))
	55.5%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x z)))
	55.6%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y)
	55.6%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 z)) (neg.f64 y))
✓	55.3%	(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
✓	55.3%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 #s(literal 1 binary64) x))
	55.5%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) y)
✓	55.6%	(.f64 y (/.f64 #s(literal 1 binary64) (.f64 x z)))

Compiler

Compiled 543 to 258 computations (52.5% saved)

regimes57.0ms (0.6%)

Counts

37 → 2

Calls

Call 1

Inputs
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 (/.f64 y z) x)
(.f64 y (/.f64 #s(literal 1 binary64) (.f64 x z)))
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 y (/.f64 #s(literal 1 binary64) z)) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z)
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) x)
(.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) y)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 z)) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x z)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) z))
(/.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 z))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) y) z))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 z))) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 z)))
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))
(.f64 (cosh.f64 x) (/.f64 y (.f64 z x)))
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 y z) x)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))) #s(literal 2 binary64))

Outputs
(.f64 (cosh.f64 x) (/.f64 y (.f64 z x)))
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x)

Calls

5 calls:

11.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
11.0ms	y
11.0ms	x
11.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
10.0ms	z

Results

Accuracy	Segments	Branch
96.5%	1	`x`
99.5%	2	`y`
99.5%	2	`z`
99.5%	2	`(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)`
99.4%	2	`(*.f64 (cosh.f64 x) (/.f64 y x))`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes21.0ms (0.2%)

Counts

32 → 2

Calls

Call 1

Inputs
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 (/.f64 y z) x)
(.f64 y (/.f64 #s(literal 1 binary64) (.f64 x z)))
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 y (/.f64 #s(literal 1 binary64) z)) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z)
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) x)
(.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) y)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 z)) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x z)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) z))
(/.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 z))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) y) z))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 z))) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 z)))
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))
(.f64 (cosh.f64 x) (/.f64 y (.f64 z x)))
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))
(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))

Outputs
(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))

Calls

2 calls:

10.0ms	z
9.0ms	y

Results

Accuracy	Segments	Branch
96.5%	1	`y`
98.6%	2	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes20.0ms (0.2%)

Counts

31 → 1

Calls

Call 1

Inputs
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 (/.f64 y z) x)
(.f64 y (/.f64 #s(literal 1 binary64) (.f64 x z)))
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 y (/.f64 #s(literal 1 binary64) z)) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z)
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) x)
(.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) y)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 z)) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x z)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) z))
(/.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 z))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) y) z))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 z))) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 z)))
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))
(.f64 (cosh.f64 x) (/.f64 y (.f64 z x)))
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))

Outputs
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))

Calls

2 calls:

9.0ms	x
9.0ms	z

Results

Accuracy	Segments	Branch
96.5%	1	`x`
96.5%	1	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes26.0ms (0.3%)

Counts

28 → 2

Calls

Call 1

Inputs
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)
(/.f64 (/.f64 y z) x)
(.f64 y (/.f64 #s(literal 1 binary64) (.f64 x z)))
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 y (/.f64 #s(literal 1 binary64) z)) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z)
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) x)
(.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) y)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 z)) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x z)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) z))
(/.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 z))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) y) z))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 z))) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 z)))

Outputs
(/.f64 (/.f64 y z) x)
(/.f64 y (*.f64 x z))

Calls

3 calls:

8.0ms	z
8.0ms	y
8.0ms	x

Results

Accuracy	Segments	Branch
61.5%	2	`y`
61.5%	2	`z`
58.9%	2	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Counts

2 → 2

Calls

Call 1

Inputs
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y x) z)

Outputs
(/.f64 (/.f64 y x) z)
(/.f64 y (*.f64 x z))

Calls

3 calls:

2.0ms	x
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
56.0%	1	`x`
58.5%	2	`y`
58.6%	2	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 y (*.f64 x z))

Outputs
(/.f64 y (*.f64 x z))

Calls

3 calls:

1.0ms	y
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
56.0%	1	`x`
56.0%	1	`y`
56.0%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.167592679994855e-48	9.916375902453275e-48

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch10.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3.333300668361422e-33	3.474492734015068e-32

Results

6.0ms

96×

valid

Compiler

Compiled 158 to 109 computations (31% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (32.7% of total)

ival-mult: 1.0ms (32.7% of total)

ival-cosh: 1.0ms (32.7% of total)

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

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

bsearch10.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
10.0ms	1.1746500989192328e-21	1.2316668007481893e-17

Results

6.0ms

80×

valid

Compiler

Compiled 104 to 73 computations (29.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (30.5% of total)

ival-mult: 1.0ms (30.5% of total)

ival-cosh: 1.0ms (30.5% of total)

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

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

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
12.0ms	1833127708473.5864	795235312196801.4

Results

7.0ms

112×

valid

Compiler

Compiled 140 to 97 computations (30.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (53.8% of total)

ival-mult: 1.0ms (26.9% of total)

ival-cosh: 1.0ms (26.9% of total)

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

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

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	364
1	52	364

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 822752278660603/205688069665150755269371147819668813122841983204197482918576128 binary64)) (.f64 (cosh.f64 x) (/.f64 y (.f64 z x))) (/.f64 (.f64 y (/.f64 (cosh.f64 x) z)) x))
(if (<=.f64 z #s(literal 3379722536327713/182687704666362864775460604089535377456991567872 binary64)) (/.f64 (cosh.f64 x) (.f64 x (/.f64 z y))) (.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x)))
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))
(if (<=.f64 z #s(literal 1298074214633707/1298074214633706907132624082305024 binary64)) (/.f64 (/.f64 y z) x) (/.f64 y (*.f64 x z)))
(if (<=.f64 z #s(literal 8500000000000 binary64)) (/.f64 (/.f64 y x) z) (/.f64 y (*.f64 x z)))
(/.f64 y (*.f64 x z))

Outputs
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 822752278660603/205688069665150755269371147819668813122841983204197482918576128 binary64)) (.f64 (cosh.f64 x) (/.f64 y (.f64 z x))) (/.f64 (.f64 y (/.f64 (cosh.f64 x) z)) x))
(if (<=.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 822752278660603/205688069665150755269371147819668813122841983204197482918576128 binary64)) (.f64 (cosh.f64 x) (/.f64 y (.f64 x z))) (/.f64 (.f64 y (/.f64 (cosh.f64 x) z)) x))
(if (<=.f64 z #s(literal 3379722536327713/182687704666362864775460604089535377456991567872 binary64)) (/.f64 (cosh.f64 x) (.f64 x (/.f64 z y))) (.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x)))
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) z) x))
(if (<=.f64 z #s(literal 1298074214633707/1298074214633706907132624082305024 binary64)) (/.f64 (/.f64 y z) x) (/.f64 y (*.f64 x z)))
(if (<=.f64 z #s(literal 8500000000000 binary64)) (/.f64 (/.f64 y x) z) (/.f64 y (*.f64 x z)))
(/.f64 y (*.f64 x z))

soundness1.2s (12.3%)

Rules

903×	`log1p-expm1-u`
903×	`expm1-log1p-u`
823×	`times-frac`
764×	`fma-define`
639×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	409
1	115	397
2	349	397
3	1259	397
4	4372	397
0	912	39719
1	2189	38865
2	6661	38865
0	19	204
1	284	204
2	4181	204

Stop Event

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

Compiler

Compiled 262 to 100 computations (61.8% saved)

preprocess54.0ms (0.6%)

Compiler: Compiled 634 to 304 computations (52.1% saved)

analyze80.0ms (0.8%)

sample1.4s (14.3%)

preprocess90.0ms (0.9%)

explain86.0ms (0.9%)

eval0.0ms (0%)

prune2.0ms (0%)

simplify170.0ms (1.8%)

localize98.0ms (1%)

series46.0ms (0.5%)

rewrite839.0ms (8.9%)

simplify426.0ms (4.5%)

eval110.0ms (1.2%)

prune123.0ms (1.3%)

simplify224.0ms (2.4%)

localize244.0ms (2.6%)

series39.0ms (0.4%)

rewrite309.0ms (3.3%)

simplify1.0s (10.7%)

eval708.0ms (7.5%)

prune195.0ms (2.1%)

simplify14.0ms (0.1%)

localize69.0ms (0.7%)

series20.0ms (0.2%)

rewrite268.0ms (2.8%)

simplify284.0ms (3%)

eval188.0ms (2%)

prune98.0ms (1%)

simplify14.0ms (0.1%)

localize81.0ms (0.9%)

series152.0ms (1.6%)

rewrite204.0ms (2.2%)

simplify354.0ms (3.7%)

eval68.0ms (0.7%)

prune93.0ms (1%)

regimes57.0ms (0.6%)

regimes21.0ms (0.2%)

regimes20.0ms (0.2%)

regimes26.0ms (0.3%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch10.0ms (0.1%)

bsearch10.0ms (0.1%)

bsearch12.0ms (0.1%)

simplify4.0ms (0%)

soundness1.2s (12.3%)

preprocess54.0ms (0.6%)

end0.0ms (0%)

Profiling