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

analyze91.0ms (1.4%)

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 (43.7% of total)

ival-add: 4.0ms (34.9% of total)

ival-div: 2.0ms (17.5% of total)

const: 0.0ms (0% of total)

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

sample1.3s (20%)

Results

961.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 256.0ms

ival-div: 120.0ms (46.9% of total)

ival-mult: 69.0ms (27% of total)

ival-add: 56.0ms (21.9% of total)

const: 8.0ms (3.1% of total)

backward-pass: 3.0ms (1.2% of total)

Bogosity

preprocess198.0ms (3.1%)

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)

explain54.0ms (0.8%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
39	-	2	(2.5282468925630108e-67 3.6977143451983226e-308 1.5176167674774683e-246)	`(/.f64 (*.f64 x (+.f64 y z)) z)`
0	-	0	-	`x`
0	-	0	-	`(*.f64 x (+.f64 y z))`
0	-	0	-	`z`
0	-	0	-	`(+.f64 y z)`
0	-	0	-	`y`

Results

33.0ms

512×

valid

Compiler

Compiled 54 to 20 computations (63% saved)

Precisions

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

ival-div: 4.0ms (32.8% of total)

ival-mult: 4.0ms (32.8% of total)

ival-add: 3.0ms (24.6% of total)

const: 0.0ms (0% of total)

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

eval1.0ms (0%)

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

prune4.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.7%	(fma.f64 x (/.f64 y z) x)
▶	86.0%	(/.f64 (*.f64 x (+.f64 y z)) z)
▶	86.9%	(*.f64 (+.f64 y z) (/.f64 x z))
▶	94.7%	(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))

Compiler

Compiled 39 to 24 computations (38.5% saved)

localize158.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 22 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	6272	(fma.f64 x (/.f64 y z) x)
✓	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))
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	94.7%	(fma.f64 x (/.f64 y z) x)
✓	accuracy	100.0%	(+.f64 y z)
✓	accuracy	100.0%	(*.f64 x (+.f64 y z))
✓	accuracy	86.0%	(/.f64 (*.f64 x (+.f64 y z)) z)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(+.f64 y z)
✓	accuracy	86.9%	(*.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	94.7%	(*.f64 x (-.f64 (/.f64 y z) #s(literal -1 binary64)))

Rules

727×	`fma-define`
601×	`distribute-frac-neg`
513×	`times-frac`
424×	`associate-/r*`
328×	`distribute-frac-neg2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	267
1	39	267
2	69	263
3	86	263
4	134	263
5	172	263
6	369	263
7	893	263
8	2397	263
9	3590	263
10	4071	263
11	4846	263

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

Results

44.0ms

256×

valid

Compiler

Compiled 69 to 14 computations (79.7% saved)

Precisions

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

ival-div: 6.0ms (33.5% of total)

ival-mult: 5.0ms (28% of total)

ival-fma: 3.0ms (16.8% of total)

ival-sub: 1.0ms (5.6% of total)

ival-add: 1.0ms (5.6% of total)

const: 0.0ms (0% of total)

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

series31.0ms (0.5%)

Counts

9 → 198

Calls

Call 1

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

Outputs
#<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 #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 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 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 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 (*.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 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

69 calls:

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

rewrite346.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

946×	`log1p-expm1-u`
854×	`prod-diff`
291×	`expm1-log1p-u`
128×	`add-cube-cbrt`
127×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	198
1	296	196
2	4311	196

Stop Event

1×	node limit

Counts

9 → 341

Calls

Call 1

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

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

simplify217.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

622×	`fma-neg`
606×	`exp-prod`
552×	`associate-r`
532×	`associate-l`
235×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	644	15965
1	1539	15080
2	6577	15080

Stop Event

1×	node limit

Counts

539 → 371

Calls

Call 1

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

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

eval128.0ms (2%)

Compiler: Compiled 5755 to 1102 computations (80.9% saved)

prune74.0ms (1.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	449	7	456
Fresh	0	0	0
Picked	4	0	4
Done	0	0	0
Total	453	7	460

Accuracy

100.0%

Counts

460 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.6%	(/.f64 (+.f64 y z) (/.f64 z x))
▶	47.9%	(/.f64 (*.f64 x y) z)
▶	94.7%	(+.f64 (*.f64 x (/.f64 y z)) x)
	66.7%	(*.f64 (+.f64 y z) (log1p.f64 (expm1.f64 (/.f64 x z))))
▶	49.5%	(*.f64 y (/.f64 x z))
▶	45.7%	(*.f64 x (/.f64 y z))
▶	51.2%	x

Compiler

Compiled 120 to 76 computations (36.7% saved)

localize70.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 (*.f64 x y) z)
	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(*.f64 y (/.f64 x z))
	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(*.f64 x (/.f64 y z))
✓	cost-diff	-6272	(+.f64 (*.f64 x (/.f64 y z)) x)
	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(*.f64 x (/.f64 y z))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	91.3%	(/.f64 (*.f64 x y) z)
	accuracy	100.0%	(/.f64 x z)
✓	accuracy	93.5%	(*.f64 y (/.f64 x z))
	accuracy	100.0%	(/.f64 y z)
✓	accuracy	91.3%	(*.f64 x (/.f64 y z))
	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(+.f64 (*.f64 x (/.f64 y z)) x)
✓	accuracy	91.3%	(*.f64 x (/.f64 y z))

Rules

25×	`fma-define`
14×	`associate-l`
11×	`associate-r`
7×	`*-commutative`
5×	`*-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	219
1	23	219
2	29	219
3	37	219
4	43	219
5	53	219
6	75	219
7	87	219
8	107	219
9	110	219

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

41.0ms

256×

valid

Compiler

Compiled 56 to 11 computations (80.4% saved)

Precisions

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

ival-add: 7.0ms (36.4% of total)

ival-div: 6.0ms (31.2% of total)

ival-mult: 6.0ms (31.2% of total)

const: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Counts

5 → 108

Calls

Call 1

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

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 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 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)>

Calls

42 calls:

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

rewrite130.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

695×	`log1p-expm1-u`
695×	`expm1-log1p-u`
620×	`log-prod`
314×	`fma-define`
229×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	106
1	237	106
2	2997	106

Stop Event

1×	node limit

Counts

5 → 232

Calls

Call 1

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

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

simplify501.0ms (7.8%)

Algorithm

1×	egg-herbie

Rules

560×	`associate-/r*`
403×	`cancel-sign-sub-inv`
297×	`fma-neg`
287×	`distribute-lft-neg-in`
286×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	377	9321
1	826	9193
2	2525	9127

Stop Event

1×	node limit

Counts

340 → 203

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

eval38.0ms (0.6%)

Compiler: Compiled 3929 to 706 computations (82% saved)

prune49.0ms (0.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	354	3	357
Fresh	2	0	2
Picked	2	3	5
Done	0	0	0
Total	358	6	364

Accuracy

100.0%

Counts

364 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.9%	(/.f64 (*.f64 x y) z)
▶	49.4%	(/.f64 y (/.f64 z x))
▶	95.4%	(+.f64 (/.f64 y (/.f64 z x)) x)
✓	49.5%	(*.f64 y (/.f64 x z))
▶	39.5%	(*.f64 y (log1p.f64 (expm1.f64 (/.f64 x z))))
✓	51.2%	x

Compiler

Compiled 48 to 31 computations (35.4% saved)

localize476.0ms (7.4%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 z x)
✓	cost-diff	0	(/.f64 y (/.f64 z x))
✓	cost-diff	-6272	(+.f64 (/.f64 y (/.f64 z x)) x)
✓	cost-diff	0	(/.f64 z x)
✓	cost-diff	0	(/.f64 y (/.f64 z x))
	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(expm1.f64 (/.f64 x z))
✓	cost-diff	12800	(log1p.f64 (expm1.f64 (/.f64 x z)))
✓	cost-diff	12800	(*.f64 y (log1p.f64 (expm1.f64 (/.f64 x z))))
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	97.0%	(/.f64 y (/.f64 z x))
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	100.0%	(+.f64 (/.f64 y (/.f64 z x)) x)
✓	accuracy	97.0%	(/.f64 y (/.f64 z x))
	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(expm1.f64 (/.f64 x z))
✓	accuracy	100.0%	(log1p.f64 (expm1.f64 (/.f64 x z)))
✓	accuracy	97.3%	(*.f64 y (log1p.f64 (expm1.f64 (/.f64 x z))))

Rules

4516×	`associate-+r-`
722×	`sub-neg`
685×	`+-commutative`
189×	`associate-+l-`
128×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	202
1	27	198
2	48	198
3	73	198
4	140	198
5	308	198
6	780	198
7	1211	198
8	1393	198
9	1518	198
10	1518	198
11	1518	198
12	3067	198
13	3680	198
14	4036	198
15	4036	198
16	4036	198
17	4036	198

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 y (log1p.f64 (expm1.f64 (/.f64 x z))))
y
(log1p.f64 (expm1.f64 (/.f64 x z)))
(expm1.f64 (/.f64 x z))
(/.f64 x z)
x
z
(+.f64 (/.f64 y (/.f64 z x)) x)
(/.f64 y (/.f64 z x))
y
(/.f64 z x)
z
x
(/.f64 y (/.f64 z x))
y
(/.f64 z x)
z
x

Outputs
(*.f64 y (log1p.f64 (expm1.f64 (/.f64 x z))))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 y (/.f64 z x))
y
(log1p.f64 (expm1.f64 (/.f64 x z)))
(/.f64 x z)
(expm1.f64 (/.f64 x z))
(/.f64 x z)
x
z
(+.f64 (/.f64 y (/.f64 z x)) x)
(+.f64 x (*.f64 (/.f64 y z) x))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(fma.f64 x (/.f64 y z) x)
(/.f64 y (/.f64 z x))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
y
(/.f64 z x)
z
x
(/.f64 y (/.f64 z x))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
y
(/.f64 z x)
z
x

Results

249.0ms	138×	0	valid
96.0ms	118×	5	exit

Compiler

Compiled 55 to 11 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 282.0ms

ival-log1p: 237.0ms (84% of total)

ival-div: 16.0ms (5.7% of total)

backward-pass: 12.0ms (4.3% of total)

ival-expm1: 9.0ms (3.2% of total)

ival-mult: 7.0ms (2.5% of total)

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

const: 0.0ms (0% of total)

series16.0ms (0.2%)

Counts

6 → 156

Calls

Call 1

Inputs
#<alt (*.f64 y (log1p.f64 (expm1.f64 (/.f64 x z))))>
#<alt (log1p.f64 (expm1.f64 (/.f64 x z)))>
#<alt (expm1.f64 (/.f64 x z))>
#<alt (/.f64 y (/.f64 z x))>
#<alt (+.f64 (/.f64 y (/.f64 z x)) x)>
#<alt (/.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 (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (/.f64 x (pow.f64 z #s(literal 4 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))>
#<alt (/.f64 x z)>
#<alt (/.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) z)>
#<alt (/.f64 (+.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))) z)>
#<alt (/.f64 (+.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))) z)>
#<alt (/.f64 x z)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) z))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) z)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) z))) z))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/24 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) z))) z)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) z))) 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 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))))>

Calls

45 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	(/ z x)
2.0ms	x	@	inf	(* y (log (+ 1 (- (exp (/ x z)) 1))))
1.0ms	x	@	0	(- (exp (/ x z)) 1)
1.0ms	z	@	inf	(- (exp (/ x z)) 1)
0.0ms	z	@	-inf	(- (exp (/ x z)) 1)

rewrite180.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1033×	`log1p-expm1-u`
1031×	`expm1-log1p-u`
557×	`log-prod`
262×	`fma-define`
197×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	118
1	215	114
2	2848	114

Stop Event

1×	node limit

Counts

6 → 286

Calls

Call 1

Inputs
(*.f64 y (log1p.f64 (expm1.f64 (/.f64 x z))))
(log1p.f64 (expm1.f64 (/.f64 x z)))
(expm1.f64 (/.f64 x z))
(/.f64 y (/.f64 z x))
(+.f64 (/.f64 y (/.f64 z x)) x)
(/.f64 z x)

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

simplify170.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

605×	`fma-neg`
413×	`cube-prod`
388×	`exp-prod`
319×	`div-sub`
257×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	602	11455
1	1317	11395
2	5131	11371

Stop Event

1×	node limit

Counts

442 → 338

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 z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))
(.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) z)))
(.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (/.f64 x (pow.f64 z #s(literal 4 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) z)))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(/.f64 x z)
(/.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) z)
(/.f64 (+.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))) z)
(/.f64 (+.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))) z)
(/.f64 x z)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) z))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) z)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) z))) z))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/24 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) z))) z)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) z))) 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 (*.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)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (/.f64 y 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 x (/.f64 y z)) #s(literal 2 binary64))) (-.f64 x (.f64 x (/.f64 y 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))))
(log.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (/.f64 y z))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 y) (/.f64 x z))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (/.f64 y z))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (/.f64 x z)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (/.f64 y z)))) (exp.f64 x)))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (/.f64 y z)))) (+.f64 #s(literal 1 binary64) (expm1.f64 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 (log.f64 x) (log1p.f64 (/.f64 y z))))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 (/.f64 y z))) #s(literal 1 binary64)))
(fma.f64 y (/.f64 x z) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)
(fma.f64 (/.f64 x z) y x)
(fma.f64 (*.f64 x (/.f64 y z)) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (/.f64 y z)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z)) x)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x z)) y) x)
(fma.f64 (cbrt.f64 (.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 (.f64 x (/.f64 y z))) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (/.f64 y z))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x (/.f64 y z)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (/.f64 y z)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (/.f64 z x)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 x z)) x)
(fma.f64 (sqrt.f64 (/.f64 x z)) (/.f64 y (sqrt.f64 (/.f64 z x))) x)
(fma.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 (/.f64 x z)) y) x)
(fma.f64 (sqrt.f64 (.f64 x (/.f64 y z))) (sqrt.f64 (.f64 x (/.f64 y z))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (/.f64 y z)))
(fma.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (/.f64 z x)) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 x z)) x)
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 x))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (/.f64 y z) x x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (/.f64 z x)) x)
(fma.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (/.f64 z x)) x)
(fma.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (/.f64 z x))) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) x)) x)
(fma.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))) x)
(fma.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))) x)
(fma.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))) x)
(fma.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)) x)
(fma.f64 (*.f64 y (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)) x)
(fma.f64 (*.f64 (/.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 (/.f64 x z) (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (*.f64 (/.f64 y z) #s(literal 1 binary64)) x x)
(fma.f64 (*.f64 (/.f64 y z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x)
(fma.f64 (*.f64 (/.f64 y z) (sqrt.f64 x)) (sqrt.f64 x) x)
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x z) x)
(fma.f64 (/.f64 y (neg.f64 z)) (neg.f64 x) x)
(+.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 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))))
(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 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
(/.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))
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) z)))
(.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (/.f64 x (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))
(.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (/.f64 x (pow.f64 z #s(literal 4 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/24 binary64) (/.f64 x (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(expm1.f64 (/.f64 x z))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(expm1.f64 (/.f64 x z))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(expm1.f64 (/.f64 x z))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(expm1.f64 (/.f64 x z))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(expm1.f64 (/.f64 x z))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(expm1.f64 (/.f64 x z))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(expm1.f64 (/.f64 x z))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(expm1.f64 (/.f64 x z))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(expm1.f64 (/.f64 x z))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(expm1.f64 (/.f64 x z))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(expm1.f64 (/.f64 x z))
(-.f64 (exp.f64 (/.f64 x z)) #s(literal 1 binary64))
(expm1.f64 (/.f64 x z))
(/.f64 x z)
(/.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) z)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z) x) z)
(/.f64 (+.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))) z)
(/.f64 (+.f64 x (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))) z)
(/.f64 (+.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64)))))) z)
(/.f64 (+.f64 x (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) z)))) z)
(/.f64 (+.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))) z)
(/.f64 (+.f64 x (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))) z)
(/.f64 (+.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z) x)) z)
(/.f64 (+.f64 x (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) z))))) z)
(/.f64 x z)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) z))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) #s(literal -1/2 binary64))) z))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) #s(literal -1/2 binary64)) x) (neg.f64 z))
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(pow.f64 (fma.f64 y (/.f64 x z) x) #s(literal 1 binary64))
(fma.f64 x (/.f64 y z) x)
(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 x z) x)) #s(literal 3 binary64))
(fma.f64 x (/.f64 y z) x)
(pow.f64 (pow.f64 (fma.f64 y (/.f64 x z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (/.f64 y z) x)
(pow.f64 (sqrt.f64 (fma.f64 y (/.f64 x z) x)) #s(literal 2 binary64))
(fma.f64 x (/.f64 y z) x)
(sqrt.f64 (pow.f64 (fma.f64 y (/.f64 x z) x) #s(literal 2 binary64)))
(fma.f64 x (/.f64 y z) x)
(log.f64 (exp.f64 (fma.f64 y (/.f64 x z) x)))
(fma.f64 x (/.f64 y z) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (/.f64 x z) x))))
(fma.f64 x (/.f64 y z) x)
(log.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (/.f64 y z))))))
(fma.f64 x (/.f64 y z) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 y) (/.f64 x z))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (/.f64 x z)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 x z)) y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (/.f64 y z))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (/.f64 x z)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 x z)) y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (/.f64 x z)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 x z)) y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (/.f64 y z)))) (exp.f64 x)))
(fma.f64 x (/.f64 y z) x)
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (/.f64 y z)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (/.f64 x z)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 x z)) y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 y (/.f64 x z) x) #s(literal 3 binary64)))
(fma.f64 x (/.f64 y z) x)
(expm1.f64 (log1p.f64 (fma.f64 y (/.f64 x z) x)))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 y z) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (/.f64 x z) x)))
(fma.f64 x (/.f64 y z) x)
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 (/.f64 y z))))
(fma.f64 x (/.f64 y z) x)
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 (/.f64 y z))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 y z) x)
(fma.f64 y (/.f64 x z) x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 (/.f64 x z) y x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 (*.f64 x (/.f64 y z)) #s(literal 1 binary64) x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z)) x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x z)) y) x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 (cbrt.f64 (.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 (.f64 x (/.f64 y z))) #s(literal 2 binary64)) x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (/.f64 y z))) x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (/.f64 z x)) x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 x z)) x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 (sqrt.f64 (/.f64 x z)) (/.f64 y (sqrt.f64 (/.f64 z x))) x)
(fma.f64 (/.f64 y (sqrt.f64 (/.f64 z x))) (sqrt.f64 (/.f64 x z)) x)
(fma.f64 y (/.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 z x))) x)
(fma.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 (/.f64 x z)) y) x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 (sqrt.f64 (.f64 x (/.f64 y z))) (sqrt.f64 (.f64 x (/.f64 y z))) x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
(fma.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (/.f64 z x)) x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 x z)) x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 x))) x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 (/.f64 y z) x x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (/.f64 z x)) x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (/.f64 z x)) x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (/.f64 z x))) x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 x (/.f64 y z) x)
(fma.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))) x)
(fma.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64))) x)
(fma.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))) x)
(fma.f64 x (/.f64 y z) x)
(fma.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))) x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)) x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 (*.f64 y (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)) x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 (*.f64 (/.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 (*.f64 (/.f64 x z) (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 (*.f64 (/.f64 y z) #s(literal 1 binary64)) x x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 (*.f64 (/.f64 y z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 (*.f64 (/.f64 y z) (sqrt.f64 x)) (sqrt.f64 x) x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x z) x)
(fma.f64 x (/.f64 y z) x)
(fma.f64 (/.f64 y (neg.f64 z)) (neg.f64 x) x)
(fma.f64 x (/.f64 y z) x)
(+.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 z (/.f64 #s(literal 1 binary64) x))
(/.f64 z x)
(*.f64 (/.f64 z x) #s(literal 1 binary64))
(/.f64 z x)
(*.f64 #s(literal 1 binary64) (/.f64 z x))
(/.f64 z x)
(*.f64 (cbrt.f64 (/.f64 z x)) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)))
(/.f64 z x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z x)))
(/.f64 z x)
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) x))
(/.f64 z x)
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(/.f64 z x)
(*.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 z x)))
(/.f64 z x)
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) x))
(/.f64 z x)
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(/.f64 z x)
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 z x)
(*.f64 (/.f64 #s(literal 1 binary64) x) z)
(/.f64 z 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) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)))
(/.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) x))
(/.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 (cbrt.f64 (/.f64 z x)) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 z x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 z) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)))
(/.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) x))
(/.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) (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)
(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 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)

eval55.0ms (0.9%)

Compiler: Compiled 5865 to 1176 computations (79.9% saved)

prune88.0ms (1.4%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	467	1	468
Fresh	0	0	0
Picked	1	2	3
Done	0	3	3
Total	468	6	474

Accuracy

100.0%

Counts

474 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.9%	(/.f64 (*.f64 x y) z)
✓	49.4%	(/.f64 y (/.f64 z x))
✓	95.4%	(+.f64 (/.f64 y (/.f64 z x)) x)
▶	47.8%	(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
✓	49.5%	(*.f64 y (/.f64 x z))
✓	51.2%	x

Compiler

Compiled 50 to 32 computations (36% saved)

localize212.0ms (3.3%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) z)
✓	cost-diff	128	(/.f64 y (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	256	(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(/.f64 y (/.f64 #s(literal 1 binary64) x))
✓	accuracy	91.2%	(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (/.f64 #s(literal 1 binary64) x)))

Rules

25×	`times-frac`
12×	`associate-l`
11×	`associate-r`
9×	`associate-/l*`
9×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	86
1	27	68
2	49	68
3	101	68
4	139	68
5	153	68
6	159	68

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

21.0ms

256×

valid

Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 7.0ms (76.5% of total)

ival-mult: 2.0ms (21.9% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

4 → 60

Calls

Call 1

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

Calls

21 calls:

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

rewrite103.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

824×	`log1p-expm1-u`
824×	`expm1-log1p-u`
457×	`log-prod`
186×	`pow-unpow`
153×	`log-div`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	67
1	174	55
2	2371	55

Stop Event

1×	node limit

Counts

4 → 174

Calls

Call 1

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

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

simplify147.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

889×	`fma-define`
243×	`exp-prod`
235×	`associate-/r/`
224×	`distribute-lft-neg-in`
223×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	389	8589938947
1	819	8589938881
2	2430	8589938881

Stop Event

1×	node limit

Counts

234 → 196

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

eval25.0ms (0.4%)

Compiler: Compiled 2226 to 582 computations (73.9% saved)

prune30.0ms (0.5%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	196	0	196
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	196	6	202

Accuracy

100.0%

Counts

202 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.9%	(/.f64 (*.f64 x y) z)
✓	49.4%	(/.f64 y (/.f64 z x))
✓	95.4%	(+.f64 (/.f64 y (/.f64 z x)) x)
✓	47.8%	(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
✓	49.5%	(*.f64 y (/.f64 x z))
✓	51.2%	x

Compiler

Compiled 147 to 63 computations (57.1% saved)

regimes24.0ms (0.4%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)
5.0ms	z
5.0ms	y
5.0ms	x

Results

Accuracy	Segments	Branch
99.2%	2	`x`
99.3%	3	`y`
97.3%	2	`z`
99.1%	3	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes5.0ms (0.1%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.2%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	z
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
98.1%	3	`z`
96.7%	2	`y`
94.7%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
96.7%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	z
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
94.7%	1	`x`
94.7%	1	`z`
94.7%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes15.0ms (0.2%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	y
2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
76.3%	3	`y`
78.4%	3	`z`
59.5%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
71.7%	3	`y`
74.3%	3	`z`

Compiler

Compiled 8 to 6 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
51.2%	1	`x`
51.2%	1	`y`
51.2%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch5.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
4.0ms	24870557635279104.0	404148391757538600.0

Results

3.0ms

48×

valid

Compiler

Compiled 79 to 50 computations (36.7% 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)

bsearch2.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	24870557635279104.0	404148391757538600.0

Results

1.0ms

16×

valid

Compiler

Compiled 38 to 25 computations (34.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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)

bsearch12.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-4.951013905840953e+178	-8.208524835081073e+176

Results

8.0ms

112×

valid

Compiler

Compiled 170 to 109 computations (35.9% saved)

Precisions

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

ival-mult: 3.0ms (69.2% of total)

ival-div: 1.0ms (23.1% of total)

ival-add: 1.0ms (23.1% of total)

const: 0.0ms (0% of total)

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

bsearch12.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-4.951013905840953e+178	-8.208524835081073e+176

Results

6.0ms

112×

valid

Compiler

Compiled 170 to 116 computations (31.8% saved)

Precisions

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

ival-div: 1.0ms (38.1% of total)

ival-add: 1.0ms (38.1% of total)

ival-mult: 1.0ms (38.1% of total)

const: 0.0ms (0% of total)

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

bsearch27.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.1745553460770084e-92	3.4379372677700525e-77
9.0ms	-5.26578087888549e+104	-1.2659775173245238e+103

Results

17.0ms

272×

valid

Compiler

Compiled 254 to 181 computations (28.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (31.9% of total)

ival-add: 2.0ms (31.9% of total)

ival-mult: 2.0ms (31.9% of total)

const: 0.0ms (0% of total)

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

bsearch42.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	1.1745553460770084e-92	3.4379372677700525e-77
9.0ms	-5.26578087888549e+104	-1.2659775173245238e+103

Results

29.0ms

272×

valid

Compiler

Compiled 254 to 181 computations (28.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (31.9% of total)

ival-add: 2.0ms (31.9% of total)

ival-mult: 2.0ms (31.9% of total)

const: 0.0ms (0% of total)

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

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	429
1	65	429
2	69	429
3	70	429
4	71	429

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 40000000000000000 binary64)) (+.f64 (/.f64 y (/.f64 z x)) x) (fma.f64 x (/.f64 y z) x))
(if (<=.f64 x #s(literal 40000000000000000 binary64)) (+.f64 (/.f64 y (/.f64 z x)) x) (+.f64 (*.f64 x (/.f64 y z)) x))
(if (<=.f64 y #s(literal -3499999999999999913598586893680210049783519592891492081516320937046323656118467245627080050521477946453612456512474833245016252576811828060610340956549343704625006619132440870912 binary64)) (.f64 (+.f64 y z) (/.f64 x z)) (+.f64 (.f64 x (/.f64 y z)) x))
(if (<=.f64 y #s(literal -7500000000000000393285888356297127896605350115822293457924602932488546376065289147865717623165893211991543477312699133372009051260140433113799223470444267953862680295090583240704 binary64)) (.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)))
(if (<=.f64 z #s(literal -14499999999999999232060110487494069226519752310431940000985809685934652296215473932382728884015213838336 binary64)) x (if (<=.f64 z #s(literal 8082958754095241/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) (*.f64 y (/.f64 x z)) x))
(if (<=.f64 z #s(literal -14499999999999999232060110487494069226519752310431940000985809685934652296215473932382728884015213838336 binary64)) x (if (<=.f64 z #s(literal 1668739871813211/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) (*.f64 x (/.f64 y z)) x))
x

Outputs
(if (<=.f64 x #s(literal 40000000000000000 binary64)) (+.f64 (/.f64 y (/.f64 z x)) x) (fma.f64 x (/.f64 y z) x))
(if (<=.f64 x #s(literal 40000000000000000 binary64)) (+.f64 x (/.f64 y (/.f64 z x))) (fma.f64 x (/.f64 y z) x))
(if (<=.f64 x #s(literal 40000000000000000 binary64)) (+.f64 (/.f64 y (/.f64 z x)) x) (+.f64 (*.f64 x (/.f64 y z)) x))
(if (<=.f64 x #s(literal 40000000000000000 binary64)) (+.f64 x (/.f64 y (/.f64 z x))) (+.f64 x (*.f64 x (/.f64 y z))))
(if (<=.f64 y #s(literal -3499999999999999913598586893680210049783519592891492081516320937046323656118467245627080050521477946453612456512474833245016252576811828060610340956549343704625006619132440870912 binary64)) (.f64 (+.f64 y z) (/.f64 x z)) (+.f64 (.f64 x (/.f64 y z)) x))
(if (<=.f64 y #s(literal -3499999999999999913598586893680210049783519592891492081516320937046323656118467245627080050521477946453612456512474833245016252576811828060610340956549343704625006619132440870912 binary64)) (.f64 (+.f64 y z) (/.f64 x z)) (+.f64 x (.f64 x (/.f64 y z))))
(if (<=.f64 y #s(literal -7500000000000000393285888356297127896605350115822293457924602932488546376065289147865717623165893211991543477312699133372009051260140433113799223470444267953862680295090583240704 binary64)) (.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)))
(if (<=.f64 z #s(literal -14499999999999999232060110487494069226519752310431940000985809685934652296215473932382728884015213838336 binary64)) x (if (<=.f64 z #s(literal 8082958754095241/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) (*.f64 y (/.f64 x z)) x))
(if (<=.f64 z #s(literal -14499999999999999232060110487494069226519752310431940000985809685934652296215473932382728884015213838336 binary64)) x (if (<=.f64 z #s(literal 1668739871813211/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) (*.f64 x (/.f64 y z)) x))
x

soundness1.3s (20%)

Rules

1372×	`fma-define`
946×	`log1p-expm1-u`
854×	`prod-diff`
695×	`log1p-expm1-u`
695×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	644	15965
1	1539	15080
2	6577	15080
0	20	198
1	296	196
2	4311	196
0	16	106
1	237	106
2	2997	106
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 604 to 204 computations (66.2% saved)

preprocess53.0ms (0.8%)

Compiler: Compiled 384 to 164 computations (57.3% saved)

Iter	Nodes	Cost
0	16	219
1	23	219
2	29	219
3	37	219
4	43	219
5	53	219
6	75	219
7	87	219
8	107	219
9	110	219

Iter	Nodes	Cost
0	16	219
1	23	219
2	29	219
3	37	219
4	43	219
5	53	219
6	75	219
7	87	219
8	107	219
9	110	219

analyze91.0ms (1.4%)

sample1.3s (20%)

preprocess198.0ms (3.1%)

explain54.0ms (0.8%)

eval1.0ms (0%)

prune4.0ms (0.1%)

localize158.0ms (2.5%)

series31.0ms (0.5%)

rewrite346.0ms (5.4%)

simplify217.0ms (3.4%)

eval128.0ms (2%)

prune74.0ms (1.2%)

localize70.0ms (1.1%)

series10.0ms (0.2%)

rewrite130.0ms (2%)

simplify501.0ms (7.8%)

eval38.0ms (0.6%)

prune49.0ms (0.8%)

localize476.0ms (7.4%)

series16.0ms (0.2%)

rewrite180.0ms (2.8%)

simplify170.0ms (2.7%)

eval55.0ms (0.9%)

prune88.0ms (1.4%)

localize212.0ms (3.3%)

series4.0ms (0.1%)

rewrite103.0ms (1.6%)

simplify147.0ms (2.3%)

eval25.0ms (0.4%)

prune30.0ms (0.5%)

regimes24.0ms (0.4%)

regimes5.0ms (0.1%)

regimes10.0ms (0.2%)

regimes5.0ms (0.1%)

regimes8.0ms (0.1%)

regimes15.0ms (0.2%)

regimes3.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch5.0ms (0.1%)

bsearch2.0ms (0%)

bsearch12.0ms (0.2%)

bsearch12.0ms (0.2%)

bsearch27.0ms (0.4%)

bsearch42.0ms (0.7%)

simplify13.0ms (0.2%)

soundness1.3s (20%)

preprocess53.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	219
1	23	219
2	29	219
3	37	219
4	43	219
5	53	219
6	75	219
7	87	219
8	107	219
9	110	219