Metrics for Numeric.SpecFunctions:choose from math-functions-0.1.5.2

analyze42.0ms (0.6%)

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
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 5.0ms (44.3% of total)

ival-add: 4.0ms (35.4% of total)

ival-div: 2.0ms (17.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample1.1s (15.1%)

Results

793.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 198.0ms

ival-mult: 68.0ms (34.4% of total)

ival-div: 65.0ms (32.9% of total)

ival-add: 55.0ms (27.8% of total)

const: 7.0ms (3.5% of total)

backward-pass: 2.0ms (1% of total)

Bogosity

preprocess198.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1372×	`fma-define`
630×	`fma-neg`
620×	`div-sub`
383×	`times-frac`
365×	`unsub-neg`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	36	369
1	117	353
2	318	345
3	1015	318
4	2926	314
5	6081	308
6	7171	308
7	7269	308
8	7365	308
9	7491	302
10	7705	302

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 (+.f64 y z) (/.f64 x z))
(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))
(*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 (+.f64 y z) (/.f64 x z))
(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))
(*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(/.f64 (*.f64 (neg.f64 x) (+.f64 y z)) z)
(*.f64 (neg.f64 x) (/.f64 (+.f64 y z) z))
(*.f64 (+.f64 y z) (/.f64 (neg.f64 x) z))
(*.f64 x (/.f64 (+.f64 y z) (neg.f64 z)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 y z) #s(literal -1 binary64)))
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 y z)))
(/.f64 (*.f64 x (+.f64 (neg.f64 y) z)) z)
(/.f64 (*.f64 x (+.f64 z (neg.f64 y))) z)
(*.f64 (-.f64 z y) (/.f64 x z))
(*.f64 x (/.f64 (-.f64 z y) z))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (*.f64 x (+.f64 y (neg.f64 z))) (neg.f64 z))
(/.f64 (*.f64 x (+.f64 z (neg.f64 y))) z)
(*.f64 (-.f64 z y) (/.f64 x z))
(*.f64 x (/.f64 (-.f64 z y) z))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (+.f64 y z)) z))
(/.f64 (*.f64 x (+.f64 y z)) z)
(*.f64 (+.f64 y z) (/.f64 x z))
(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))
(*.f64 x (+.f64 (/.f64 y z) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(neg.f64 (/.f64 (*.f64 x (+.f64 (neg.f64 y) z)) z))
(/.f64 (*.f64 x (+.f64 z (neg.f64 y))) (neg.f64 z))
(*.f64 (neg.f64 x) (/.f64 (-.f64 z y) z))
(*.f64 (-.f64 y z) (/.f64 x z))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(neg.f64 (/.f64 (*.f64 x (+.f64 y (neg.f64 z))) (neg.f64 z)))
(/.f64 (*.f64 x (+.f64 z (neg.f64 y))) (neg.f64 z))
(*.f64 (neg.f64 x) (/.f64 (-.f64 z y) z))
(*.f64 (-.f64 y z) (/.f64 x z))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(/.f64 (*.f64 y (+.f64 x z)) z)
(*.f64 y (/.f64 (+.f64 x z) z))
(*.f64 y (-.f64 (/.f64 x z) #s(literal -1 binary64)))
(*.f64 y (+.f64 (/.f64 x z) #s(literal 1 binary64)))
(fma.f64 x (/.f64 y z) y)
(/.f64 (*.f64 z (+.f64 y x)) x)
(*.f64 z (/.f64 (+.f64 x y) x))
(*.f64 z (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 y (/.f64 z x) z)
(/.f64 (*.f64 x (+.f64 z y)) y)
(/.f64 (*.f64 x (+.f64 y z)) y)
(*.f64 (+.f64 y z) (/.f64 x y))
(*.f64 x (/.f64 (+.f64 y z) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(fma.f64 z (/.f64 x y) x)
(fma.f64 x (/.f64 z y) x)

Symmetry

(negabs x)

explain205.0ms (2.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
42	-	4	(4.9310662998263915e-147 -2.8559104256268593e-267 -2.7046958650756183e-166)	`(/.f64 (*.f64 x (+.f64 y z)) z)`
0	-	0	-	`(+.f64 y z)`
0	-	0	-	`y`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x (+.f64 y z))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	o/n	32	0
↳	`(*.f64 x (+.f64 y z))`	overflow	54
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	u/n	6	0
↳	`(*.f64 x (+.f64 y z))`	underflow	6

Confusion

	Predicted +	Predicted -
+	38	4
-	0	214

Precision

1.0

Recall

0.9047619047619048

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	38	0	4
-	0	0	214

Precision?

1.0

Recall?

0.9047619047619048

Freqs

test

number	freq
0	218
1	38

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Results

39.0ms

512×

valid

Compiler

Compiled 64 to 26 computations (59.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 4.0ms (33.4% of total)

ival-div: 4.0ms (33.4% of total)

ival-add: 3.0ms (25% of total)

const: 1.0ms (8.3% of total)

backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler: Compiled 37 to 16 computations (56.8% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.1%	(/.f64 (*.f64 x (+.f64 y z)) z)
▶	84.1%	(*.f64 (+.f64 y z) (/.f64 x z))
▶	95.8%	(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))

Compiler

Compiled 30 to 19 computations (36.7% saved)

simplify76.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(/.f64 (*.f64 x (+.f64 y z)) z)
✓	cost-diff	0	(+.f64 y z)
✓	cost-diff	0	(*.f64 x (+.f64 y z))
✓	cost-diff	-6272	(*.f64 (+.f64 y z) (/.f64 x z))
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(+.f64 y z)
✓	cost-diff	-6272	(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(-.f64 (/.f64 y z) #s(literal -1 binary64))

Rules

724×	`fma-define`
600×	`distribute-frac-neg`
542×	`times-frac`
424×	`associate-/r*`
331×	`distribute-frac-neg2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	214
1	35	214
2	62	211
3	83	211
4	131	211
5	169	211
6	366	211
7	903	211
8	2444	211
9	3636	211
10	4117	211
11	4891	211

Stop Event

1×	node limit

Calls

Call 1

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

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

localize51.0ms (0.7%)

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y z)
✓	accuracy	100.0%	(*.f64 x (+.f64 y z))
✓	accuracy	85.1%	(/.f64 (*.f64 x (+.f64 y z)) z)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(+.f64 y z)
✓	accuracy	84.1%	(*.f64 (+.f64 y z) (/.f64 x z))
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(-.f64 (/.f64 y z) #s(literal -1 binary64))
✓	accuracy	95.8%	(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))

Results

36.0ms

256×

valid

Compiler

Compiled 57 to 13 computations (77.2% saved)

Precisions

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

ival-div: 6.0ms (41.2% of total)

ival-mult: 5.0ms (34.4% of total)

ival-sub: 1.0ms (6.9% of total)

ival-add: 1.0ms (6.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series39.0ms (0.6%)

Counts

8 → 162

Calls

Call 1

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

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

Calls

60 calls:

Time	Variable		Point	Expression
5.0ms	z	@	-inf	(* x (+ y z))
3.0ms	y	@	-inf	(* x (- (/ y z) -1))
2.0ms	z	@	0	(* (+ y z) (/ x z))
1.0ms	y	@	0	(* x (- (/ y z) -1))
1.0ms	x	@	0	(* x (- (/ y z) -1))

rewrite362.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

924×	`log1p-expm1-u`
785×	`prod-diff`
592×	`expm1-log1p-u`
118×	`add-cube-cbrt`
117×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	170
1	274	170
2	4001	170

Stop Event

1×	node limit

Counts

8 → 298

Calls

Call 1

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

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

simplify314.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

625×	`cube-prod`
594×	`exp-prod`
517×	`fma-neg`
494×	`associate-r`
473×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	610	13095
1	1453	12479
2	6099	12479

Stop Event

1×	node limit

Counts

460 → 354

Calls

Call 1

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

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

eval58.0ms (0.8%)

Compiler: Compiled 4991 to 1024 computations (79.5% saved)

prune60.0ms (0.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	389	10	399
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	391	11	402

Accuracy

100.0%

Counts

402 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.9%	(/.f64 (+.f64 y z) (/.f64 z x))
▶	49.5%	(/.f64 (*.f64 y x) z)
	53.4%	(/.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64))) z)
	82.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (+.f64 y z)))
▶	95.8%	(+.f64 (*.f64 (/.f64 y z) x) x)
	93.3%	(+.f64 x (/.f64 (*.f64 x y) z))
	43.1%	(*.f64 z (/.f64 x z))
▶	48.3%	(*.f64 y (/.f64 x z))
	49.1%	(*.f64 x (/.f64 y z))
✓	95.8%	(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))
▶	48.0%	x

Compiler

Compiled 192 to 123 computations (35.9% saved)

simplify194.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(/.f64 (+.f64 y z) (/.f64 z x))
✓	cost-diff	0	(/.f64 z x)
	cost-diff	0	(+.f64 y z)
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(/.f64 (*.f64 y x) z)
	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(*.f64 y (/.f64 x z))
✓	cost-diff	-6272	(+.f64 (*.f64 (/.f64 y z) x) x)
	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(*.f64 (/.f64 y z) x)

Rules

1518×	`fma-define`
813×	`associate-/r/`
599×	`cube-prod`
520×	`*-commutative`
418×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	237
1	31	237
2	45	237
3	54	237
4	71	237
5	127	237
6	185	237
7	287	237
8	421	237
9	1193	237
10	2106	237
11	2657	237
12	3216	237
13	3257	237
14	3291	237
15	3327	237
16	4155	237
17	4870	237
18	5630	237
19	6228	237
20	7880	237

Stop Event

1×	node limit

Calls

Call 1

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

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

localize308.0ms (4.3%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 z x)
	accuracy	100.0%	(+.f64 y z)
✓	accuracy	82.9%	(/.f64 (+.f64 y z) (/.f64 z x))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	91.7%	(/.f64 (*.f64 y x) z)
	accuracy	100.0%	(/.f64 x z)
✓	accuracy	89.8%	(*.f64 y (/.f64 x z))
	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(+.f64 (*.f64 (/.f64 y z) x) x)
✓	accuracy	92.0%	(*.f64 (/.f64 y z) x)

Results

293.0ms

256×

valid

Compiler

Compiled 61 to 14 computations (77% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 12.0ms (57.2% of total)

ival-mult: 6.0ms (28.6% of total)

ival-add: 3.0ms (14.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series54.0ms (0.8%)

Counts

7 → 204

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(* (/ y z) x)
1.0ms	y	@	0	(* (/ y z) x)
1.0ms	x	@	0	(* (/ y z) x)
0.0ms	x	@	-inf	(/ z x)
0.0ms	z	@	-inf	(/ z x)

rewrite228.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1050×	`log1p-expm1-u`
988×	`expm1-log1p-u`
130×	`add-cube-cbrt`
128×	`add-exp-log`
128×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	150
1	321	150
2	4509	150

Stop Event

1×	node limit

Counts

7 → 261

Calls

Call 1

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

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

simplify327.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

406×	`distribute-lft-neg-in`
368×	`cube-prod`
360×	`exp-prod`
354×	`distribute-rgt-neg-in`
343×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	486	11572
1	1088	11507
2	3708	11467

Stop Event

1×	node limit

Counts

465 → 249

Calls

Call 1

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

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

eval45.0ms (0.6%)

Compiler: Compiled 4390 to 981 computations (77.7% saved)

prune137.0ms (1.9%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	371	4	375
Fresh	3	2	5
Picked	1	4	5
Done	1	0	1
Total	376	10	386

Accuracy

100.0%

Counts

386 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.8%	(/.f64 (+.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) x) z))
✓	49.5%	(/.f64 (*.f64 y x) z)
▶	48.3%	(/.f64 y (/.f64 z x))
▶	82.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (+.f64 y z)))
▶	96.0%	(+.f64 (/.f64 x (/.f64 z y)) x)
✓	95.8%	(+.f64 (*.f64 (/.f64 y z) x) x)
▶	49.1%	(*.f64 (/.f64 y z) x)
▶	43.1%	(*.f64 z (/.f64 x z))
✓	48.3%	(*.f64 y (/.f64 x z))
✓	48.0%	x

Compiler

Compiled 146 to 93 computations (36.3% saved)

simplify152.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6144	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (+.f64 y z)))
	cost-diff	0	(+.f64 y z)
	cost-diff	0	(/.f64 z x)
✓	cost-diff	0	(/.f64 (/.f64 z x) (+.f64 y z))
	cost-diff	0	(/.f64 z x)
✓	cost-diff	0	(/.f64 y (/.f64 z x))
	cost-diff	0	(/.f64 y z)
	cost-diff	0	(*.f64 (/.f64 y z) x)
	cost-diff	0	(/.f64 x z)
✓	cost-diff	256	(*.f64 z (/.f64 x z))
✓	cost-diff	-6272	(+.f64 (/.f64 x (/.f64 z y)) x)
✓	cost-diff	0	(/.f64 z y)
✓	cost-diff	0	(/.f64 x (/.f64 z y))

Rules

1749×	`fma-define`
889×	`associate-/r/`
800×	`distribute-lft-in`
669×	`times-frac`
606×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	298
1	41	290
2	65	290
3	116	290
4	218	290
5	463	290
6	2279	290
7	2901	290
8	3335	290
9	4158	290
10	4266	290
11	4297	290
12	6197	290
13	6792	290
14	6822	290
15	7471	290

Stop Event

1×	node limit

Calls

Call 1

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

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

localize73.0ms (1%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(/.f64 z x)
	accuracy	100.0%	(+.f64 y z)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (+.f64 y z)))
✓	accuracy	82.7%	(/.f64 (/.f64 z x) (+.f64 y z))
	accuracy	100.0%	(/.f64 z x)
✓	accuracy	89.3%	(/.f64 y (/.f64 z x))
	accuracy	100.0%	(/.f64 y z)
	accuracy	92.0%	(*.f64 (/.f64 y z) x)
	accuracy	100.0%	(/.f64 x z)
✓	accuracy	74.3%	(*.f64 z (/.f64 x z))
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	100.0%	(+.f64 (/.f64 x (/.f64 z y)) x)
✓	accuracy	92.1%	(/.f64 x (/.f64 z y))

Results

54.0ms

256×

valid

Compiler

Compiled 80 to 17 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 18.0ms (72.1% of total)

ival-mult: 4.0ms (16% of total)

ival-add: 3.0ms (12% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series21.0ms (0.3%)

Counts

7 → 204

Calls

Call 1

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

Outputs
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (+.f64 (.f64 x y) (.f64 x z)) z)>
#<alt (/.f64 (+.f64 (.f64 x y) (.f64 x z)) z)>
#<alt (/.f64 (+.f64 (.f64 x y) (.f64 x z)) z)>
#<alt x>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt x>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt x>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 z (*.f64 x y))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z (.f64 x (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 x y))))>
#<alt (.f64 z (+.f64 (.f64 z (-.f64 (/.f64 z (.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 x y))))>
#<alt (.f64 z (+.f64 (.f64 z (-.f64 (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z (.f64 x (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 x y))))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y (.f64 x z))) (/.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 x (pow.f64 z #s(literal 2 binary64))))) (/.f64 y (.f64 x z)))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x (pow.f64 z #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 x (pow.f64 z #s(literal 2 binary64))))) (/.f64 y (*.f64 x z))))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y (.f64 x z))) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 x z))) (.f64 #s(literal -1 binary64) (/.f64 y x))) z)) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x z))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) z)) (.f64 #s(literal -1 binary64) (/.f64 y x))) z)) (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 z (*.f64 x (+.f64 y z)))>
#<alt (/.f64 z (*.f64 x (+.f64 y z)))>
#<alt (/.f64 z (*.f64 x (+.f64 y z)))>
#<alt (/.f64 z (*.f64 x (+.f64 y z)))>
#<alt (/.f64 z (*.f64 x (+.f64 y z)))>
#<alt (/.f64 z (*.f64 x (+.f64 y z)))>
#<alt (/.f64 z (*.f64 x (+.f64 y z)))>
#<alt (/.f64 z (*.f64 x (+.f64 y z)))>
#<alt (/.f64 z (*.f64 x (+.f64 y z)))>
#<alt (/.f64 z (*.f64 x (+.f64 y z)))>
#<alt (/.f64 z (*.f64 x (+.f64 y z)))>
#<alt (/.f64 z (*.f64 x (+.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y (.f64 x z))) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (.f64 y (-.f64 (/.f64 y (.f64 x (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x z)))) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (.f64 y (-.f64 (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y (.f64 x (pow.f64 z #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 x z)))) (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 z (*.f64 x y))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 x y))) (/.f64 z x)) y)>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 z x) (/.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 x (pow.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 x y))) y)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 x (pow.f64 y #s(literal 3 binary64))))) (/.f64 z x)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 x (pow.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))) y)>
#<alt (/.f64 z (*.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z x)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 x y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) y))) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 x y)) (/.f64 (pow.f64 z #s(literal 3 binary64)) x)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) y))) y))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (+.f64 (.f64 x y) (.f64 x z)) z)>
#<alt (/.f64 (+.f64 (.f64 x y) (.f64 x z)) z)>
#<alt (/.f64 (+.f64 (.f64 x y) (.f64 x z)) z)>
#<alt x>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt x>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (/.f64 (*.f64 x (+.f64 y z)) z)>
#<alt (/.f64 (*.f64 x (+.f64 y z)) z)>
#<alt (/.f64 (*.f64 x (+.f64 y z)) z)>
#<alt (/.f64 (*.f64 x (+.f64 y z)) z)>
#<alt (/.f64 (*.f64 x (+.f64 y z)) z)>
#<alt (/.f64 (*.f64 x (+.f64 y z)) z)>
#<alt (/.f64 (*.f64 x (+.f64 y z)) z)>
#<alt (/.f64 (*.f64 x (+.f64 y z)) z)>
#<alt (/.f64 (*.f64 x (+.f64 y z)) z)>
#<alt (/.f64 (*.f64 x (+.f64 y z)) z)>
#<alt (/.f64 (*.f64 x (+.f64 y z)) z)>
#<alt (/.f64 (*.f64 x (+.f64 y z)) z)>
#<alt x>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (+.f64 x (/.f64 (*.f64 x y) z))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -1 binary64) (/.f64 x z)))))>

Calls

57 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	(/ z y)
2.0ms	y	@	inf	(+ (/ x (/ z y)) x)
1.0ms	y	@	-inf	(/ (/ z x) (+ y z))
1.0ms	z	@	0	(/ (/ z x) (+ y z))
1.0ms	y	@	inf	(/ (/ z x) (+ y z))

rewrite188.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1184×	`log1p-expm1-u`
483×	`expm1-log1p-u`
152×	`add-cube-cbrt`
150×	`add-exp-log`
150×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	172
1	331	168
2	5351	168

Stop Event

1×	node limit

Counts

7 → 347

Calls

Call 1

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

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

simplify237.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

477×	`fma-neg`
356×	`associate-*r/`
352×	`cube-prod`
322×	`exp-prod`
317×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	731	15882
1	1809	15370
2	5642	15310

Stop Event

1×	node limit

Counts

551 → 383

Calls

Call 1

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

Outputs
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
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(fma.f64 x (/.f64 y z) x)
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 z y) z) x)))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 y z) x)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 z y) z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 z y) z) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(exp.f64 (.f64 (log.f64 (/.f64 z (.f64 x (+.f64 z y)))) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (+.f64 z y) z) x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(exp.f64 (-.f64 (log.f64 (+.f64 z y)) (log.f64 (/.f64 z x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)

eval374.0ms (5.3%)

Compiler: Compiled 8321 to 1838 computations (77.9% saved)

prune151.0ms (2.1%)

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	617	4	621
Fresh	1	0	1
Picked	1	4	5
Done	0	4	4
Total	619	12	631

Accuracy

100.0%

Counts

631 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.5%	(/.f64 (*.f64 y x) z)
✓	48.3%	(/.f64 y (/.f64 z x))
▶	48.3%	(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) z))
▶	49.2%	(/.f64 x (/.f64 z y))
▶	48.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) y))
▶	47.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	96.0%	(+.f64 (/.f64 x (/.f64 z y)) x)
✓	95.8%	(+.f64 (*.f64 (/.f64 y z) x) x)
✓	49.1%	(*.f64 (/.f64 y z) x)
✓	43.1%	(*.f64 z (/.f64 x z))
✓	48.3%	(*.f64 y (/.f64 x z))
✓	48.0%	x

Compiler

Compiled 100 to 65 computations (35% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

55×	`times-frac`
29×	`associate-/r*`
15×	`associate-r`
15×	`associate-/r/`
11×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	212
1	38	194
2	72	194
3	152	194
4	197	194
5	219	194

Stop Event

1×

saturated

Calls

Call 1

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

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

localize82.0ms (1.2%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) x) z)
✓	accuracy	89.3%	(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) z))
	accuracy	100.0%	(/.f64 z y)
	accuracy	92.1%	(/.f64 x (/.f64 z y))
	accuracy	100.0%	(/.f64 z x)
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) y))
✓	accuracy	89.5%	(/.f64 (/.f64 z x) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))

Results

40.0ms

256×

valid

Compiler

Compiled 63 to 14 computations (77.8% saved)

Precisions

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

ival-div: 14.0ms (87.4% of total)

ival-mult: 2.0ms (12.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series11.0ms (0.2%)

Counts

6 → 144

Calls

Call 1

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

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

Calls

39 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/ (/ z x) y)
0.0ms	z	@	0	(/ (/ z x) y)
0.0ms	z	@	-inf	(/ (/ z x) y)
0.0ms	x	@	0	(/ (/ z x) y)
0.0ms	y	@	0	(/ (/ z x) y)

rewrite123.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

911×	`log1p-expm1-u`
911×	`expm1-log1p-u`
534×	`log-prod`
237×	`log-div`
144×	`expm1-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	93
1	253	93
2	2797	93

Stop Event

1×	node limit

Counts

6 → 273

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 x))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(neg.f64 (neg.f64 x))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (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)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 1 binary64) x)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -1 binary64) x))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 x z))) (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 x z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 x z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 x z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 x z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y z)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (/.f64 y z)))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(.f64 (.f64 x (/.f64 y z)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 (.f64 x y)))))
(.f64 (cbrt.f64 (.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 y z))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (/.f64 z x)))
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(*.f64 (/.f64 x z) y)
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(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 z (neg.f64 (*.f64 x y))))))
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(cbrt.f64 (/.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
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(exp.f64 (log.f64 (/.f64 z (*.f64 x y))))
(exp.f64 (.f64 (log.f64 (/.f64 z (.f64 x y))) #s(literal 1 binary64)))
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(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (/.f64 z x)))
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(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 x))))
(*.f64 (/.f64 x z) y)
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(.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 y z) x)
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 z x))))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (/.f64 z x)))
(*.f64 (/.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 y) z))
(*.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 z x))))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 x))) (neg.f64 y))
(.f64 (.f64 (/.f64 x z) #s(literal 1 binary64)) y)
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(.f64 (.f64 (/.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 y (neg.f64 z)) (neg.f64 x))
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(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64))
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(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y z))))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 z x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 z x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z x))) #s(literal 1 binary64))
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(/.f64 (neg.f64 (neg.f64 z)) x)
(/.f64 (/.f64 z #s(literal 1 binary64)) x)
(/.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 x))
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(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 z x)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 z (neg.f64 x)))))
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(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #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 z x)))
(log1p.f64 (expm1.f64 (/.f64 z x)))
(exp.f64 (log.f64 (/.f64 z x)))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal 1 binary64)))

simplify135.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

419×	`cube-prod`
369×	`exp-prod`
343×	`distribute-lft-neg-in`
285×	`distribute-rgt-neg-in`
282×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	458	8780
1	915	8672
2	3806	8672

Stop Event

1×	node limit

Counts

417 → 245

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
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(pow.f64 (pow.f64 (/.f64 z (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z (*.f64 x y))) #s(literal 2 binary64))
(neg.f64 (/.f64 z (neg.f64 (*.f64 x y))))
(sqrt.f64 (pow.f64 (/.f64 z (*.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z (*.f64 x y)))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 z (*.f64 x y))))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 z (neg.f64 (*.f64 x y))))))
(cbrt.f64 (pow.f64 (/.f64 z (*.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z (*.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 z (*.f64 x y))))
(exp.f64 (log.f64 (/.f64 z (*.f64 x y))))
(exp.f64 (.f64 (log.f64 (/.f64 z (.f64 x y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 x z))) (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 x z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 x z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 x z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 x z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y z)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (/.f64 y z)))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(.f64 (.f64 x (/.f64 y z)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 (.f64 x y)))))
(.f64 (cbrt.f64 (.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 y z))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (/.f64 z x)))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (/.f64 x z)))
(.f64 (sqrt.f64 (.f64 x (/.f64 y z))) (sqrt.f64 (*.f64 x (/.f64 y z))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (/.f64 z x)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 x z)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 x))))
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 x z) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) z))
(.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 y z) x)
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (/.f64 z x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z x))) (/.f64 y (sqrt.f64 (/.f64 z x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (/.f64 z x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (cbrt.f64 y) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (.f64 x (/.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 z x))))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (/.f64 z x)))
(*.f64 (/.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 y) z))
(*.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 z x))))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 x))) (neg.f64 y))
(.f64 (.f64 (/.f64 x z) #s(literal 1 binary64)) y)
(.f64 (.f64 (/.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(.f64 (.f64 (/.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 y (neg.f64 z)) (neg.f64 x))
(pow.f64 (/.f64 z (*.f64 x y)) #s(literal -1 binary64))
(pow.f64 (*.f64 x (/.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64))
(neg.f64 (/.f64 y (/.f64 z (neg.f64 x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))))
(neg.f64 (/.f64 (neg.f64 y) (/.f64 z x)))
(sqrt.f64 (pow.f64 (/.f64 z (*.f64 x y)) #s(literal -2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 z x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y z))))
(exp.f64 (log.f64 (*.f64 x (/.f64 y z))))
(exp.f64 (.f64 (log.f64 (/.f64 z (.f64 x y))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 y z))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 z x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 z x))) (cbrt.f64 (exp.f64 (/.f64 z x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 z x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 z x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 z x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 x z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) #s(literal 1 binary64)))
(/.f64 z x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x z)))
(/.f64 (neg.f64 z) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 z)) x)
(/.f64 (/.f64 z #s(literal 1 binary64)) x)
(/.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (*.f64 z #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (/.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 (/.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x z) #s(literal -1 binary64))
(neg.f64 (/.f64 z (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z x))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 z x)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 z (neg.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 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))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #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 z x)))
(log1p.f64 (expm1.f64 (/.f64 z x)))
(exp.f64 (log.f64 (/.f64 z x)))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal 1 binary64)))

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
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(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
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(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
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(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
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(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
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(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
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(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
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(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
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(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
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(/.f64 (*.f64 x y) z)
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(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
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(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
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(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
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(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
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(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 z (*.f64 x y))
(/.f64 (/.f64 z y) x)
(/.f64 z (*.f64 x y))
(/.f64 (/.f64 z y) x)
(/.f64 z (*.f64 x y))
(/.f64 (/.f64 z y) x)
(/.f64 z (*.f64 x y))
(/.f64 (/.f64 z y) x)
(/.f64 z (*.f64 x y))
(/.f64 (/.f64 z y) x)
(/.f64 z (*.f64 x y))
(/.f64 (/.f64 z y) x)
(/.f64 z (*.f64 x y))
(/.f64 (/.f64 z y) x)
(/.f64 z (*.f64 x y))
(/.f64 (/.f64 z y) x)
(/.f64 z (*.f64 x y))
(/.f64 (/.f64 z y) x)
(/.f64 z (*.f64 x y))
(/.f64 (/.f64 z y) x)
(/.f64 z (*.f64 x y))
(/.f64 (/.f64 z y) x)
(/.f64 z (*.f64 x y))
(/.f64 (/.f64 z y) x)
(/.f64 z (*.f64 x y))
(/.f64 (/.f64 z y) x)
(/.f64 z (*.f64 x y))
(/.f64 (/.f64 z y) x)
(/.f64 z (*.f64 x y))
(/.f64 (/.f64 z y) x)
(/.f64 z (*.f64 x y))
(/.f64 (/.f64 z y) x)
(/.f64 z (*.f64 x y))
(/.f64 (/.f64 z y) x)
(/.f64 z (*.f64 x y))
(/.f64 (/.f64 z y) x)
(/.f64 z (*.f64 x y))
(/.f64 (/.f64 z y) x)
(/.f64 z (*.f64 x y))
(/.f64 (/.f64 z y) x)
(/.f64 z (*.f64 x y))
(/.f64 (/.f64 z y) x)
(/.f64 z (*.f64 x y))
(/.f64 (/.f64 z y) x)
(/.f64 z (*.f64 x y))
(/.f64 (/.f64 z y) x)
(/.f64 z (*.f64 x y))
(/.f64 (/.f64 z y) x)
(/.f64 z (*.f64 x y))
(/.f64 (/.f64 z y) x)
(/.f64 z (*.f64 x y))
(/.f64 (/.f64 z y) x)
(/.f64 z (*.f64 x y))
(/.f64 (/.f64 z y) x)
(/.f64 z (*.f64 x y))
(/.f64 (/.f64 z y) x)
(/.f64 z (*.f64 x y))
(/.f64 (/.f64 z y) x)
(/.f64 z (*.f64 x y))
(/.f64 (/.f64 z y) x)
(/.f64 z (*.f64 x y))
(/.f64 (/.f64 z y) x)
(/.f64 z (*.f64 x y))
(/.f64 (/.f64 z y) x)
(/.f64 z (*.f64 x y))
(/.f64 (/.f64 z y) x)
(/.f64 z (*.f64 x y))
(/.f64 (/.f64 z y) x)
(/.f64 z (*.f64 x y))
(/.f64 (/.f64 z y) x)
(/.f64 z (*.f64 x y))
(/.f64 (/.f64 z y) x)
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
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(/.f64 (*.f64 x y) z)
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(/.f64 (*.f64 x y) z)
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(/.f64 (*.f64 x y) z)
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(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
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(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
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(/.f64 (*.f64 x y) z)
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(/.f64 (*.f64 x y) z)
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(/.f64 (*.f64 x y) z)
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(/.f64 (*.f64 x y) z)
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(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
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(/.f64 (*.f64 x y) z)
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(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
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(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
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(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
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(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 z x)
(/.f64 z x)
(/.f64 z x)
(/.f64 z x)
(/.f64 z x)
(/.f64 z x)
(/.f64 z x)
(/.f64 z x)
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(*.f64 y (/.f64 x z))
(sqrt.f64 (pow.f64 (/.f64 z (*.f64 x y)) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 z y) x) #s(literal -2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 x z)))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 y z)))))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 z x) #s(literal 3 binary64))))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y z))))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y z))))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(exp.f64 (log.f64 (*.f64 x (/.f64 y z))))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(exp.f64 (.f64 (log.f64 (/.f64 z (.f64 x y))) #s(literal -1 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 y z))) #s(literal 1 binary64)))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(+.f64 #s(literal 0 binary64) (/.f64 z x))
(/.f64 z x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 z x))) (cbrt.f64 (exp.f64 (/.f64 z x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 z x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 z x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 z x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 z x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 x z))
(/.f64 z x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) #s(literal 1 binary64)))
(/.f64 z x)
(/.f64 z x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x z)))
(/.f64 z x)
(/.f64 (neg.f64 z) (neg.f64 x))
(/.f64 z x)
(/.f64 (neg.f64 (neg.f64 z)) x)
(/.f64 z x)
(/.f64 (/.f64 z #s(literal 1 binary64)) x)
(/.f64 z x)
(/.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 z x)
(/.f64 (*.f64 z #s(literal -1 binary64)) (neg.f64 x))
(/.f64 z x)
(/.f64 (/.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 z x)
(pow.f64 (/.f64 z x) #s(literal 1 binary64))
(/.f64 z x)
(pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 3 binary64))
(/.f64 z x)
(pow.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 z x)
(pow.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))
(/.f64 z x)
(pow.f64 (/.f64 x z) #s(literal -1 binary64))
(/.f64 z x)
(neg.f64 (/.f64 z (neg.f64 x)))
(/.f64 z x)
(sqrt.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)))
(/.f64 z x)
(log.f64 (exp.f64 (/.f64 z x)))
(/.f64 z x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z x))))
(/.f64 z x)
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 z x)))))
(/.f64 z x)
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 z (neg.f64 x)))))
(/.f64 z x)
(cbrt.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)))
(/.f64 z x)
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 z x)
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(/.f64 z x)
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 z x)
(expm1.f64 (log1p.f64 (/.f64 z x)))
(log1p.f64 (expm1.f64 (/.f64 z x)))
(/.f64 z x)
(exp.f64 (log.f64 (/.f64 z x)))
(/.f64 z x)
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal 1 binary64)))
(/.f64 z x)

eval280.0ms (3.9%)

Compiler: Compiled 4576 to 1015 computations (77.8% saved)

prune60.0ms (0.8%)

Pruning

12 alts after pruning (0 fresh and 12 done)

	Pruned	Kept	Total
New	443	0	443
Fresh	0	0	0
Picked	0	4	4
Done	0	8	8
Total	443	12	455

Accuracy

100.0%

Counts

455 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.5%	(/.f64 (*.f64 y x) z)
✓	48.3%	(/.f64 y (/.f64 z x))
✓	48.3%	(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) z))
✓	49.2%	(/.f64 x (/.f64 z y))
✓	48.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) y))
✓	47.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	96.0%	(+.f64 (/.f64 x (/.f64 z y)) x)
✓	95.8%	(+.f64 (*.f64 (/.f64 y z) x) x)
✓	49.1%	(*.f64 (/.f64 y z) x)
✓	43.1%	(*.f64 z (/.f64 x z))
✓	48.3%	(*.f64 y (/.f64 x z))
✓	48.0%	x

Compiler

Compiled 235 to 107 computations (54.5% saved)

regimes28.0ms (0.4%)

Counts

21 → 2

Calls

Call 1

Inputs
x
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 z (/.f64 x z))
(*.f64 (/.f64 y z) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 y x) z)
(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))
(*.f64 (+.f64 y z) (/.f64 x z))
(+.f64 x (/.f64 (*.f64 x y) z))
(+.f64 (*.f64 (/.f64 y z) x) x)
(+.f64 (/.f64 x (/.f64 z y)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) y))
(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) z))
(/.f64 (*.f64 x (+.f64 y z)) z)
(/.f64 (+.f64 y z) (/.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (+.f64 y z)))
(/.f64 (+.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) x) z))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64))) z)

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

Calls

4 calls:

7.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)
7.0ms	x
6.0ms	z
6.0ms	y

Results

Accuracy	Segments	Branch
98.6%	2	`x`
96.0%	1	`y`
96.0%	1	`z`
96.0%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes5.0ms (0.1%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.5%	2	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0.1%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.5%	2	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	z
4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
95.8%	1	`y`
95.8%	1	`z`
95.8%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.2%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	z
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
63.2%	6	`x`
72.6%	3	`y`
76.2%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
74.8%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
74.8%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
74.1%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

1.0ms	y
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
48.0%	1	`x`
48.0%	1	`y`
48.0%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch6.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	1.658989271303561e-191	2.4331784402326824e-191

Results

3.0ms

64×

valid

Compiler

Compiled 104 to 67 computations (35.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch60.0ms (0.8%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
60.0ms	1.658989271303561e-191	2.4331784402326824e-191

Results

58.0ms

64×

valid

Compiler

Compiled 104 to 67 computations (35.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 55.0ms (98.5% of total)

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch6.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	1.658989271303561e-191	2.4331784402326824e-191

Results

3.0ms

64×

valid

Compiler

Compiled 104 to 71 computations (31.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-div: 1.0ms (66.9% of total)

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	71662211065170770.0	128646415565724690.0
12.0ms	-4.309207935838579e+106	-3.3205175636479486e+97

Results

11.0ms

208×

valid

Compiler

Compiled 198 to 141 computations (28.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (42.9% of total)

ival-mult: 2.0ms (42.9% of total)

ival-add: 1.0ms (21.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	71662211065170770.0	128646415565724690.0
8.0ms	-3.762218621271404e+90	-2.4657779110811407e+89

Results

8.0ms

160×

valid

Compiler

Compiled 156 to 111 computations (28.8% saved)

Precisions

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

ival-div: 1.0ms (28.1% of total)

ival-add: 1.0ms (28.1% of total)

ival-mult: 1.0ms (28.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	71662211065170770.0	128646415565724690.0
24.0ms	-3.762218621271404e+90	-2.4657779110811407e+89

Results

24.0ms

160×

valid

Compiler

Compiled 156 to 111 computations (28.8% saved)

Precisions

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

ival-div: 1.0ms (27.3% of total)

ival-add: 1.0ms (27.3% of total)

ival-mult: 1.0ms (27.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch20.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	71662211065170770.0	128646415565724690.0
14.0ms	-4.309207935838579e+106	-3.3205175636479486e+97

Results

13.0ms

208×

valid

Compiler

Compiled 198 to 141 computations (28.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (41.6% of total)

ival-mult: 2.0ms (41.6% of total)

ival-add: 1.0ms (20.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`if-if-or-not`
5×	`+-commutative`
4×	`*-commutative`
2×	`sub-neg`
1×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	467
1	88	467
2	92	467
3	93	467
4	94	467

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 3852638599766875/160526608323619796973907161953128926560984491052953303817696560762595585763460718448293046151049452246917204860112860647980329353338128780002679894123897731016699941135511614935048332454965903237038978629632 binary64)) (+.f64 x (/.f64 (*.f64 x y) z)) (+.f64 (/.f64 x (/.f64 z y)) x))
(if (<=.f64 x #s(literal 770527719953375/40131652080904949243476790488282231640246122763238325954424140190648896440865179612073261537762363061729301215028215161995082338334532195000669973530974432754174985283877903733762083113741475809259744657408 binary64)) (+.f64 x (/.f64 (.f64 x y) z)) (+.f64 (.f64 (/.f64 y z) x) x))
(if (<=.f64 x #s(literal 381250694768597/20065826040452474621738395244141115820123061381619162977212070095324448220432589806036630768881181530864650607514107580997541169167266097500334986765487216377087492641938951866881041556870737904629872328704 binary64)) (+.f64 x (/.f64 (.f64 x y) z)) (.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64))))
(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))
(if (<=.f64 z #s(literal -34000000000000000983869638770831657895928996611529207303055573855111980110949001578453338014351360 binary64)) x (if (<=.f64 z #s(literal 72000000000000000 binary64)) (/.f64 (*.f64 y x) z) x))
(if (<=.f64 z #s(literal -249999999999999991621028178865975012456296523155031375744918649327294938859344807671627776 binary64)) x (if (<=.f64 z #s(literal 112000000000000000 binary64)) (/.f64 y (/.f64 z x)) x))
(if (<=.f64 z #s(literal -279999999999999981569294588664564246484568902129892339797591335243401265939842433974009856 binary64)) x (if (<=.f64 z #s(literal 100000000000000000 binary64)) (*.f64 y (/.f64 x z)) x))
(if (<=.f64 z #s(literal -34000000000000000983869638770831657895928996611529207303055573855111980110949001578453338014351360 binary64)) x (if (<=.f64 z #s(literal 115000000000000000 binary64)) (*.f64 x (/.f64 y z)) x))
x

Outputs
(if (<=.f64 x #s(literal 3852638599766875/160526608323619796973907161953128926560984491052953303817696560762595585763460718448293046151049452246917204860112860647980329353338128780002679894123897731016699941135511614935048332454965903237038978629632 binary64)) (+.f64 x (/.f64 (*.f64 x y) z)) (+.f64 (/.f64 x (/.f64 z y)) x))
(if (<=.f64 x #s(literal 3852638599766875/160526608323619796973907161953128926560984491052953303817696560762595585763460718448293046151049452246917204860112860647980329353338128780002679894123897731016699941135511614935048332454965903237038978629632 binary64)) (+.f64 x (/.f64 (*.f64 x y) z)) (+.f64 x (/.f64 x (/.f64 z y))))
(if (<=.f64 x #s(literal 770527719953375/40131652080904949243476790488282231640246122763238325954424140190648896440865179612073261537762363061729301215028215161995082338334532195000669973530974432754174985283877903733762083113741475809259744657408 binary64)) (+.f64 x (/.f64 (.f64 x y) z)) (+.f64 (.f64 (/.f64 y z) x) x))
(if (<=.f64 x #s(literal 770527719953375/40131652080904949243476790488282231640246122763238325954424140190648896440865179612073261537762363061729301215028215161995082338334532195000669973530974432754174985283877903733762083113741475809259744657408 binary64)) (+.f64 x (/.f64 (.f64 x y) z)) (+.f64 x (.f64 x (/.f64 y z))))
(if (<=.f64 x #s(literal 381250694768597/20065826040452474621738395244141115820123061381619162977212070095324448220432589806036630768881181530864650607514107580997541169167266097500334986765487216377087492641938951866881041556870737904629872328704 binary64)) (+.f64 x (/.f64 (.f64 x y) z)) (.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64))))
(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))
(if (<=.f64 z #s(literal -34000000000000000983869638770831657895928996611529207303055573855111980110949001578453338014351360 binary64)) x (if (<=.f64 z #s(literal 72000000000000000 binary64)) (/.f64 (*.f64 y x) z) x))
(if (<=.f64 z #s(literal -34000000000000000983869638770831657895928996611529207303055573855111980110949001578453338014351360 binary64)) x (if (<=.f64 z #s(literal 72000000000000000 binary64)) (/.f64 (*.f64 x y) z) x))
(if (<=.f64 z #s(literal -249999999999999991621028178865975012456296523155031375744918649327294938859344807671627776 binary64)) x (if (<=.f64 z #s(literal 112000000000000000 binary64)) (/.f64 y (/.f64 z x)) x))
(if (<=.f64 z #s(literal -279999999999999981569294588664564246484568902129892339797591335243401265939842433974009856 binary64)) x (if (<=.f64 z #s(literal 100000000000000000 binary64)) (*.f64 y (/.f64 x z)) x))
(if (<=.f64 z #s(literal -34000000000000000983869638770831657895928996611529207303055573855111980110949001578453338014351360 binary64)) x (if (<=.f64 z #s(literal 115000000000000000 binary64)) (*.f64 x (/.f64 y z)) x))
x

soundness1.1s (15.9%)

Rules

1372×	`fma-define`
1050×	`log1p-expm1-u`
988×	`expm1-log1p-u`
924×	`log1p-expm1-u`
785×	`prod-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	610	13095
1	1453	12479
2	6099	12479
0	19	150
1	321	150
2	4509	150
0	18	170
1	274	170
2	4001	170
0	36	369
1	117	353
2	318	345
3	1015	318
4	2926	314
5	6081	308
6	7171	308
7	7269	308
8	7365	308
9	7491	302
10	7705	302

Stop Event

1×	done
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 429 to 172 computations (59.9% saved)

preprocess59.0ms (0.8%)

Compiler: Compiled 416 to 196 computations (52.9% saved)

analyze42.0ms (0.6%)

sample1.1s (15.1%)

preprocess198.0ms (2.8%)

explain205.0ms (2.9%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify76.0ms (1.1%)

localize51.0ms (0.7%)

series39.0ms (0.6%)

rewrite362.0ms (5.1%)

simplify314.0ms (4.4%)

eval58.0ms (0.8%)

prune60.0ms (0.8%)

simplify194.0ms (2.7%)

localize308.0ms (4.3%)

series54.0ms (0.8%)

rewrite228.0ms (3.2%)

simplify327.0ms (4.6%)

eval45.0ms (0.6%)

prune137.0ms (1.9%)

simplify152.0ms (2.1%)

localize73.0ms (1%)

series21.0ms (0.3%)

rewrite188.0ms (2.7%)

simplify237.0ms (3.3%)

eval374.0ms (5.3%)

prune151.0ms (2.1%)

simplify15.0ms (0.2%)

localize82.0ms (1.2%)

series11.0ms (0.2%)

rewrite123.0ms (1.7%)

simplify135.0ms (1.9%)

eval280.0ms (3.9%)

prune60.0ms (0.8%)

regimes28.0ms (0.4%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes14.0ms (0.2%)

regimes11.0ms (0.2%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch6.0ms (0.1%)

bsearch60.0ms (0.8%)

bsearch6.0ms (0.1%)

bsearch18.0ms (0.3%)

bsearch14.0ms (0.2%)

bsearch30.0ms (0.4%)

bsearch20.0ms (0.3%)

simplify9.0ms (0.1%)

soundness1.1s (15.9%)

preprocess59.0ms (0.8%)

end0.0ms (0%)

Profiling