Metrics for Numeric.Log:$cexpm1 from log-domain-0.10.2.1, B

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 10 to 6 computations (40% saved)

Precisions

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

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)

sample822.0ms (31.4%)

Results

567.0ms	8254×	0	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 233.0ms

ival-add: 137.0ms (58.7% of total)

ival-mult: 86.0ms (36.9% of total)

const: 7.0ms (3% of total)

backward-pass: 3.0ms (1.3% of total)

Bogosity

preprocess136.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

569×	`fma-neg`
422×	`fma-define`
84×	`cancel-sign-sub-inv`
77×	`unsub-neg`
69×	`distribute-rgt-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	221
1	70	209
2	201	177
3	660	171
4	1501	168
5	2144	168
6	2257	168
7	2261	168

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(sort x y)

explain108.0ms (4.1%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 x y)`
-	-	`x`
-	-	`(+.f64 (+.f64 (*.f64 x y) x) y)`
-	-	`(+.f64 (*.f64 x y) x)`
-	-	`y`

Results

79.0ms

512×

valid

Compiler

Compiled 49 to 17 computations (65.3% saved)

Precisions

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

ival-add: 5.0ms (51% of total)

ival-mult: 4.0ms (40.8% of total)

const: 0.0ms (0% of total)

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

eval1.0ms (0%)

Compiler: Compiled 26 to 10 computations (61.5% saved)

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
▶	100.0%	(+.f64 (+.f64 (*.f64 x y) x) y)

Compiler

Compiled 17 to 10 computations (41.2% saved)

localize46.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

61×	`fma-define`
6×	`*-commutative`
6×	`distribute-rgt-in`
6×	`+-commutative`
5×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	112
1	29	106
2	40	106
3	52	106
4	61	106
5	86	106
6	119	106
7	129	106
8	134	106
9	135	106

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

23.0ms

256×

valid

Compiler

Compiled 32 to 9 computations (71.9% saved)

Precisions

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

ival-add: 4.0ms (44.3% of total)

ival-fma: 3.0ms (33.2% of total)

ival-mult: 2.0ms (22.1% of total)

const: 0.0ms (0% of total)

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

series12.0ms (0.4%)

Counts

5 → 84

Calls

Call 1

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

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

Calls

27 calls:

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

rewrite260.0ms (9.9%)

Algorithm

1×	batch-egg-rewrite

Rules

935×	`log1p-expm1-u`
935×	`expm1-log1p-u`
643×	`fma-define`
394×	`log-prod`
319×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	95
1	186	89
2	2778	89

Stop Event

1×	node limit

Counts

5 → 273

Calls

Call 1

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

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

simplify143.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

472×	`associate-/l*`
458×	`cancel-sign-sub-inv`
411×	`fma-neg`
272×	`associate-+r+`
263×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	475	10309
1	1082	10070
2	3047	9738

Stop Event

1×	node limit

Counts

357 → 277

Calls

Call 1

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

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

eval33.0ms (1.3%)

Compiler: Compiled 3501 to 689 computations (80.3% saved)

prune75.0ms (2.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	273	4	277
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	275	4	279

Accuracy

100.0%

Counts

279 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) y)
▶	64.0%	(+.f64 (*.f64 x y) y)
▶	71.7%	(+.f64 x y)
▶	36.5%	y

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize55.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

46×	`fma-define`
6×	`*-commutative`
6×	`distribute-rgt-in`
6×	`distribute-lft-in`
5×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	126
1	31	126
2	41	125
3	61	125
4	87	125
5	109	125
6	116	125
7	117	125

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

33.0ms

256×

valid

Compiler

Compiled 37 to 10 computations (73% saved)

Precisions

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

ival-mult: 9.0ms (55.5% of total)

ival-add: 7.0ms (43.2% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Counts

4 → 90

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite145.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1173×	`log1p-expm1-u`
1173×	`expm1-log1p-u`
802×	`fma-define`
380×	`fma-neg`
100×	`add-cube-cbrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	74
1	213	74
2	3208	73

Stop Event

1×	node limit

Counts

4 → 187

Calls

Call 1

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

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

simplify111.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

485×	`distribute-lft-in`
443×	`distribute-rgt-in`
401×	`associate-/l*`
298×	`cancel-sign-sub-inv`
284×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	409	7838
1	950	7577
2	2435	6899

Stop Event

1×	node limit

Counts

277 → 228

Calls

Call 1

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

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

eval35.0ms (1.3%)

Compiler: Compiled 3137 to 705 computations (77.5% saved)

prune42.0ms (1.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	285	2	287
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	285	6	291

Accuracy

100.0%

Counts

291 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) y)
✓	64.0%	(+.f64 (*.f64 x y) y)
✓	71.7%	(+.f64 x y)
▶	29.7%	(*.f64 y x)
✓	36.5%	y
▶	37.1%	x

Compiler

Compiled 32 to 20 computations (37.5% saved)

localize40.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y x)
✓	accuracy	100.0%	(*.f64 y x)

Rules

1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	9	25

Stop Event

1×

saturated

Calls

Call 1

Inputs
x
(*.f64 y x)
y
x

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

Results

25.0ms

256×

valid

Compiler

Compiled 9 to 4 computations (55.6% saved)

Precisions

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

ival-mult: 2.0ms (76.9% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

1 → 24

Calls

Call 1

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

Outputs
#<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

6 calls:

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

rewrite60.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

502×	`associate-r`
437×	`associate-l`
251×	`log1p-expm1-u`
251×	`expm1-log1p-u`
247×	`unpow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	65	13
2	706	13

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 y x)

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

simplify65.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

663×	`cancel-sign-sub-inv`
433×	`sub-neg`
429×	`times-frac`
381×	`prod-exp`
310×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	877
1	160	859
2	460	845
3	2198	845
4	4680	845

Stop Event

1×	node limit

Counts

49 → 35

Calls

Call 1

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

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

eval13.0ms (0.5%)

Compiler: Compiled 371 to 112 computations (69.8% saved)

prune8.0ms (0.3%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	35	6	41

Accuracy

100.0%

Counts

41 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) y)
✓	64.0%	(+.f64 (*.f64 x y) y)
✓	71.7%	(+.f64 x y)
✓	29.7%	(*.f64 y x)
✓	36.5%	y
✓	37.1%	x

Compiler

Compiled 67 to 33 computations (50.7% saved)

regimes11.0ms (0.4%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
3.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
3.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (+.f64 (*.f64 x y) x) y)`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes5.0ms (0.2%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
82.7%	3	`x`
98.8%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
84.3%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.2%)

Counts

3 → 4

Calls

Call 1

Inputs
x
y
(*.f64 y x)

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

Calls

2 calls:

3.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
72.6%	4	`x`
77.4%	4	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

2 → 2

Calls

Call 1

Inputs
x
y

Outputs
x
y

Calls

2 calls:

2.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
62.1%	2	`x`
64.7%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
37.1%	1	`x`
37.1%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch19.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	1.1410515397124832e-8	2.5585988512061984e-8
12.0ms	-35.2590038832872	-1.5155963207526157e-8

Results

11.0ms

224×

valid

Compiler

Compiled 192 to 126 computations (34.4% saved)

Precisions

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

ival-mult: 3.0ms (56.1% of total)

ival-add: 2.0ms (37.4% of total)

const: 0.0ms (0% of total)

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

bsearch24.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	3.9363375132031755e+191	5.5799657821308916e+194
12.0ms	-35.2590038832872	-1.5155963207526157e-8

Results

13.0ms

272×

valid

Compiler

Compiled 218 to 145 computations (33.5% saved)

Precisions

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

ival-add: 3.0ms (52.5% of total)

ival-mult: 2.0ms (35% of total)

const: 0.0ms (0% of total)

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

bsearch30.0ms (1.2%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.9363375132031755e+191	5.5799657821308916e+194
6.0ms	2.1731165794346063e-83	7.484469479444246e-83
12.0ms	-35.2590038832872	-1.5155963207526157e-8

Results

17.0ms

352×

valid

Compiler

Compiled 224 to 158 computations (29.5% saved)

Precisions

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

ival-add: 4.0ms (47.8% of total)

ival-mult: 4.0ms (47.8% of total)

const: 0.0ms (0% of total)

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

bsearch7.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	2.1731165794346063e-83	7.484469479444246e-83

Results

4.0ms

80×

valid

Compiler

Compiled 54 to 39 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-add: 1.0ms (45.9% of total)

ival-mult: 1.0ms (45.9% of total)

const: 0.0ms (0% of total)

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

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative`
3×	`1-exp`
2×	`*-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	251
1	58	251

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) y)
(if (<=.f64 y #s(literal -29 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 7706902100043261/302231454903657293676544 binary64)) (+.f64 x y) (+.f64 (.f64 x y) y)))
(if (<=.f64 y #s(literal -9 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 18500000000000001326515528856118709499189173587193619563203030027870830436603239197790903729406958111819908389287495204814218322087696297758769814497440667877670401432246318046823106924035178496 binary64)) (+.f64 x y) (.f64 y x)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 4921314130761777/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) x (if (<=.f64 y #s(literal 99999999999999994465967438754696170766327875910118237148971115117854351613178134068619377108456504406004528089686414709538562749489776621177115003729674648080379472553427423904462708600804999168 binary64)) y (.f64 y x))))
(if (<=.f64 y #s(literal 4921314130761777/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) x y)
x

Outputs
(+.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) y)
(+.f64 y (*.f64 (+.f64 y #s(literal 1 binary64)) x))
(if (<=.f64 y #s(literal -29 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 7706902100043261/302231454903657293676544 binary64)) (+.f64 x y) (+.f64 (.f64 x y) y)))
(if (<=.f64 y #s(literal -29 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 7706902100043261/302231454903657293676544 binary64)) (+.f64 y x) (+.f64 y (.f64 y x))))
(if (<=.f64 y #s(literal -9 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 18500000000000001326515528856118709499189173587193619563203030027870830436603239197790903729406958111819908389287495204814218322087696297758769814497440667877670401432246318046823106924035178496 binary64)) (+.f64 x y) (.f64 y x)))
(if (or (<=.f64 y #s(literal -9 binary64)) (not (<=.f64 y #s(literal 18500000000000001326515528856118709499189173587193619563203030027870830436603239197790903729406958111819908389287495204814218322087696297758769814497440667877670401432246318046823106924035178496 binary64)))) (*.f64 y x) (+.f64 y x))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 4921314130761777/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) x (if (<=.f64 y #s(literal 99999999999999994465967438754696170766327875910118237148971115117854351613178134068619377108456504406004528089686414709538562749489776621177115003729674648080379472553427423904462708600804999168 binary64)) y (.f64 y x))))
(if (<=.f64 y #s(literal 4921314130761777/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) x y)
x

soundness234.0ms (8.9%)

Rules

935×	`log1p-expm1-u`
935×	`expm1-log1p-u`
643×	`fma-define`
485×	`distribute-lft-in`
443×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	409	7838
1	950	7577
2	2435	6899
0	14	95
1	186	89
2	2778	89

Stop Event

1×	done
1×	node limit
1×	node limit

Compiler

Compiled 101 to 48 computations (52.5% saved)

preprocess56.0ms (2.2%)

Compiler: Compiled 212 to 110 computations (48.1% saved)

Numeric.Log:$cexpm1 from log-domain-0.10.2.1, B

analyze0.0ms (0%)

sample822.0ms (31.4%)

preprocess136.0ms (5.2%)

explain108.0ms (4.1%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize46.0ms (1.8%)

series12.0ms (0.4%)

rewrite260.0ms (9.9%)

simplify143.0ms (5.4%)

eval33.0ms (1.3%)

prune75.0ms (2.8%)

localize55.0ms (2.1%)

series6.0ms (0.2%)

rewrite145.0ms (5.5%)

simplify111.0ms (4.2%)

eval35.0ms (1.3%)

prune42.0ms (1.6%)

localize40.0ms (1.5%)

series1.0ms (0%)

rewrite60.0ms (2.3%)

simplify65.0ms (2.5%)

eval13.0ms (0.5%)

prune8.0ms (0.3%)

regimes11.0ms (0.4%)

regimes5.0ms (0.2%)

regimes3.0ms (0.1%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch19.0ms (0.7%)

bsearch24.0ms (0.9%)

bsearch30.0ms (1.2%)

bsearch7.0ms (0.3%)

simplify4.0ms (0.1%)

soundness234.0ms (8.9%)

preprocess56.0ms (2.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	112
1	29	106
2	40	106
3	52	106
4	61	106
5	86	106
6	119	106
7	129	106
8	134	106
9	135	106

Iter	Nodes	Cost
0	14	112
1	29	106
2	40	106
3	52	106
4	61	106
5	86	106
6	119	106
7	129	106
8	134	106
9	135	106

Iter	Nodes	Cost
0	14	112
1	29	106
2	40	106
3	52	106
4	61	106
5	86	106
6	119	106
7	129	106
8	134	106
9	135	106