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

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
100%	49.9%	0%	0.1%	0%	49.9%	0%	3

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample1.7s (13%)

Results

1.7s	8213×	256	valid
5.0ms	41×	256	infinite
0.0ms	2×	512	valid

Bogosity

preprocess313.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1044×	`associate-+l-`
1044×	`unsub-neg`
942×	`distribute-neg-in`
936×	`fma-neg`
768×	`sub-neg`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`y`
-	-	`(+.f64 y 1/2)`
-	-	`(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))`
-	-	`(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)`
-	-	`1/2`
-	-	`(*.f64 (+.f64 y 1/2) (log.f64 y))`
-	-	`z`
-	-	`(log.f64 y)`
-	-	`(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	594
1	132	570
2	508	518
3	2373	518
4	5956	518
5	7655	518

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(-.f64 (+.f64 (-.f64 (neg.f64 x) (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 (neg.f64 y) 1/2) (log.f64 (neg.f64 y)))) (neg.f64 y)) z)
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) (neg.f64 z))
(neg.f64 (-.f64 (+.f64 (-.f64 (neg.f64 x) (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z))
(neg.f64 (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 (neg.f64 y) 1/2) (log.f64 (neg.f64 y)))) (neg.f64 y)) z))
(neg.f64 (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) (neg.f64 z)))
(-.f64 (+.f64 (-.f64 y (*.f64 (+.f64 x 1/2) (log.f64 x))) x) z)
(-.f64 (+.f64 (-.f64 z (*.f64 (+.f64 y 1/2) (log.f64 y))) y) x)
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 z 1/2) (log.f64 z))) z) y)

Outputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) (-.f64 y z))
(+.f64 y (-.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) z))
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) z))
(+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) (-.f64 y z))
(+.f64 y (-.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) z))
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) z))
(+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))
(-.f64 (+.f64 (-.f64 (neg.f64 x) (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(+.f64 (-.f64 (neg.f64 x) (*.f64 (+.f64 y 1/2) (log.f64 y))) (-.f64 y z))
(-.f64 (-.f64 (-.f64 y x) (*.f64 (+.f64 y 1/2) (log.f64 y))) z)
(-.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x) z)
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 (neg.f64 y) 1/2) (log.f64 (neg.f64 y)))) (neg.f64 y)) z)
(-.f64 (-.f64 (-.f64 x (*.f64 (+.f64 1/2 (neg.f64 y)) (log.f64 (neg.f64 y)))) y) z)
(-.f64 (-.f64 x (*.f64 (-.f64 1/2 y) (log.f64 (neg.f64 y)))) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 (neg.f64 y)) (+.f64 y -1/2) x) (+.f64 y z))
(-.f64 (-.f64 x y) (fma.f64 (-.f64 1/2 y) (log.f64 (neg.f64 y)) z))
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) (neg.f64 z))
(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) (-.f64 y (neg.f64 z)))
(+.f64 (-.f64 x (fma.f64 (+.f64 y 1/2) (log.f64 y) (neg.f64 y))) z)
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y z)))
(+.f64 x (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) z)))
(neg.f64 (-.f64 (+.f64 (-.f64 (neg.f64 x) (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z))
(neg.f64 (+.f64 (-.f64 (neg.f64 x) (*.f64 (+.f64 y 1/2) (log.f64 y))) (-.f64 y z)))
(+.f64 (neg.f64 (-.f64 (-.f64 y x) (*.f64 (+.f64 y 1/2) (log.f64 y)))) z)
(-.f64 z (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x))
(+.f64 z (-.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))
(neg.f64 (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 (neg.f64 y) 1/2) (log.f64 (neg.f64 y)))) (neg.f64 y)) z))
(neg.f64 (-.f64 (-.f64 (-.f64 x (*.f64 (+.f64 1/2 (neg.f64 y)) (log.f64 (neg.f64 y)))) y) z))
(neg.f64 (-.f64 (-.f64 x (*.f64 (-.f64 1/2 y) (log.f64 (neg.f64 y)))) (+.f64 y z)))
(+.f64 z (-.f64 y (fma.f64 (log.f64 (neg.f64 y)) (+.f64 y -1/2) x)))
(+.f64 (-.f64 y x) (fma.f64 (-.f64 1/2 y) (log.f64 (neg.f64 y)) z))
(neg.f64 (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) (neg.f64 z)))
(neg.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) (-.f64 y (neg.f64 z))))
(neg.f64 (+.f64 (-.f64 x (fma.f64 (+.f64 y 1/2) (log.f64 y) (neg.f64 y))) z))
(-.f64 (neg.f64 x) (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y z)))
(-.f64 (neg.f64 x) (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) z)))
(-.f64 (+.f64 (-.f64 y (*.f64 (+.f64 x 1/2) (log.f64 x))) x) z)
(+.f64 (-.f64 y (*.f64 (+.f64 x 1/2) (log.f64 x))) (-.f64 x z))
(+.f64 (fma.f64 (log.f64 x) (-.f64 -1/2 x) y) (-.f64 x z))
(+.f64 (-.f64 y z) (fma.f64 (log.f64 x) (-.f64 -1/2 x) x))
(-.f64 (+.f64 (-.f64 z (*.f64 (+.f64 y 1/2) (log.f64 y))) y) x)
(+.f64 (-.f64 z (*.f64 (+.f64 y 1/2) (log.f64 y))) (-.f64 y x))
(+.f64 z (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x))
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) z) x))
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 z 1/2) (log.f64 z))) z) y)
(+.f64 (-.f64 x (*.f64 (+.f64 1/2 z) (log.f64 z))) (-.f64 z y))
(+.f64 x (fma.f64 (log.f64 z) (-.f64 -1/2 z) (-.f64 z y)))
(+.f64 x (-.f64 z (fma.f64 (+.f64 1/2 z) (log.f64 z) y)))

Compiler

Compiled 113 to 62 computations (45.1% saved)

eval1.0ms (0%)

Compiler: Compiled 49 to 26 computations (46.9% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
▶	99.9%	(+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))

Compiler

Compiled 29 to 19 computations (34.5% saved)

localize184.0ms (1.4%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
✓	100.0%	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
✓	99.8%	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
✓	99.8%	(*.f64 (+.f64 y 1/2) (log.f64 y))
✓	100.0%	(-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)
✓	100.0%	(+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))
✓	99.8%	(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)

Compiler

Compiled 85 to 41 computations (51.8% saved)

series165.0ms (1.3%)

Counts

7 → 168

Calls

42 calls:

Time	Variable		Point	Expression
140.0ms	z	@	0	(+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))
5.0ms	y	@	0	(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
4.0ms	y	@	-inf	(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
3.0ms	x	@	0	(+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))
2.0ms	y	@	inf	(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)

rewrite388.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

887×	`log1p-expm1-u`
612×	`expm1-udef`
612×	`log1p-udef`
226×	`associate-r`
174×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	253
1	349	249
2	5724	249

Stop Event

1×	node limit

Counts

7 → 296

Calls

Call 1

Inputs
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))
(-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)
(*.f64 (+.f64 y 1/2) (log.f64 y))
(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)

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

simplify376.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1264×	`fma-def`
678×	`log-prod`
488×	`associate-r`
436×	`associate-l`
420×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	633	27867
1	1672	25438
2	6964	25438

Stop Event

1×	node limit

Counts

464 → 414

Calls

Call 1

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

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

eval337.0ms (2.6%)

Compiler: Compiled 8810 to 5026 computations (43% saved)

prune239.0ms (1.8%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	398	16	414
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	400	16	416

Accuracy

100.0%

Counts

416 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.7%	(-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)
▶	99.8%	(-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2))) z)
	73.7%	(-.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) z)
	70.8%	(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
	98.7%	(-.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y)))) 3) y) z)
▶	62.3%	(-.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 x (.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 (pow.f64 x 2) (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2)))) y) z)
	49.7%	(-.f64 (+.f64 (-.f64 x (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))) 2)) y) z)
▶	79.1%	(-.f64 (+.f64 (-.f64 x (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 -1/2 y) (log.f64 y)))) y) z)
	79.1%	(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 (+.f64 -1/2 y) (fma.f64 y y -1/4)))) y) z)
	98.8%	(-.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 (log.f64 y) (-.f64 -1/2 y)))) 2) (cbrt.f64 (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))) y) z)
	62.1%	(-.f64 (+.f64 (*.f64 (log.f64 y) (neg.f64 y)) y) z)
	98.7%	(-.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x)) 2) (cbrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x))) z)
	43.4%	(-.f64 (expm1.f64 (log1p.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x))) z)
▶	88.1%	(+.f64 x (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z))
	33.7%	(neg.f64 z)
▶	27.4%	x

Compiler

Compiled 526 to 360 computations (31.6% saved)

localize531.0ms (4.1%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	99.5%	(/.f64 1 (/.f64 (+.f64 x (.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 (pow.f64 x 2) (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2))))
✓	99.3%	(pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 2)
✓	95.1%	(-.f64 (pow.f64 x 2) (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 2))
✓	62.7%	(/.f64 (+.f64 x (.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 (pow.f64 x 2) (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2)))
✓	100.0%	(-.f64 x (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 -1/2 y) (log.f64 y))))
✓	99.8%	(+.f64 (-.f64 x (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 -1/2 y) (log.f64 y)))) y)
✓	99.5%	(/.f64 (+.f64 -1/2 y) (log.f64 y))
✓	78.8%	(/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 -1/2 y) (log.f64 y)))
✓	100.0%	(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z)
✓	100.0%	(+.f64 x (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z))
✓	100.0%	(-.f64 1 (log.f64 y))
✓	99.5%	(*.f64 y (-.f64 1 (log.f64 y)))
✓	100.0%	(-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2))) z)
✓	99.8%	(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2)))
✓	99.8%	(*.f64 (log.f64 y) (+.f64 y 1/2))

Compiler

Compiled 299 to 163 computations (45.5% saved)

series156.0ms (1.2%)

Counts

15 → 304

Calls

78 calls:

Time	Variable		Point	Expression
76.0ms	y	@	-inf	(*.f64 y (-.f64 1 (log.f64 y)))
34.0ms	y	@	0	(*.f64 y (-.f64 1 (log.f64 y)))
5.0ms	y	@	inf	(*.f64 y (-.f64 1 (log.f64 y)))
4.0ms	y	@	0	(/.f64 (+.f64 x (.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 (pow.f64 x 2) (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2)))
3.0ms	y	@	-inf	(/.f64 (+.f64 x (.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 (pow.f64 x 2) (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2)))

rewrite168.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

336×	`log1p-expm1-u`
336×	`expm1-log1p-u`
328×	`prod-diff`
325×	`add-cube-cbrt`
321×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	604
1	683	494

Stop Event

1×	node limit

Counts

15 → 423

Calls

Call 1

Inputs
(*.f64 (log.f64 y) (+.f64 y 1/2))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2))) z)
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 1 (log.f64 y))
(+.f64 x (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z)
(/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 -1/2 y) (log.f64 y)))
(/.f64 (+.f64 -1/2 y) (log.f64 y))
(+.f64 (-.f64 x (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 -1/2 y) (log.f64 y)))) y)
(-.f64 x (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 -1/2 y) (log.f64 y))))
(/.f64 (+.f64 x (.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 (pow.f64 x 2) (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2)))
(-.f64 (pow.f64 x 2) (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 2))
(pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 2)
(/.f64 1 (/.f64 (+.f64 x (.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 (pow.f64 x 2) (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2))))

Outputs
(+.f64 (.f64 (log.f64 y) y) (.f64 (log.f64 y) 1/2))
(+.f64 (.f64 y (log.f64 y)) (.f64 1/2 (log.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)))) 1)
(/.f64 1 (/.f64 (/.f64 (+.f64 y -1/2) (log.f64 y)) (fma.f64 y y -1/4)))
(/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y)))
(/.f64 -1 (neg.f64 (/.f64 (/.f64 (+.f64 y -1/2) (log.f64 y)) (fma.f64 y y -1/4))))
(/.f64 (neg.f64 (fma.f64 y y -1/4)) (neg.f64 (/.f64 (+.f64 y -1/2) (log.f64 y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y y -1/4))) (neg.f64 (neg.f64 (/.f64 (+.f64 y -1/2) (log.f64 y)))))
(pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 1)
(pow.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 2) 1/2)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))) 3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))) 2)
(pow.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 3) 1/3)
(pow.f64 (/.f64 (/.f64 (+.f64 y -1/2) (log.f64 y)) (fma.f64 y y -1/4)) -1)
(sqrt.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 2))
(fabs.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)))
(log.f64 (pow.f64 y (+.f64 y 1/2)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 y (+.f64 y 1/2)) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))))
(exp.f64 (log.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 y) (+.f64 y 1/2))) 1))
(log1p.f64 (-.f64 (pow.f64 y (+.f64 y 1/2)) 1))
(fma.f64 y (log.f64 y) (*.f64 1/2 (log.f64 y)))
(fma.f64 (log.f64 y) y (*.f64 (log.f64 y) 1/2))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))
(+.f64 (+.f64 y x) (neg.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))))
(+.f64 (+.f64 y x) (*.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2)))
(+.f64 (-.f64 x (fma.f64 (+.f64 y 1/2) (log.f64 y) (neg.f64 y))) (fma.f64 (neg.f64 (+.f64 y 1/2)) (log.f64 y) (*.f64 (log.f64 y) (+.f64 y 1/2))))
(+.f64 (-.f64 x (fma.f64 (+.f64 y 1/2) (log.f64 y) (neg.f64 y))) (fma.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2) (*.f64 (log.f64 y) (+.f64 y 1/2))))
(+.f64 (-.f64 x (fma.f64 (+.f64 y 1/2) (log.f64 y) (neg.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2)))) (sqrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2))) (*.f64 (log.f64 y) (+.f64 y 1/2))))
(+.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) y)
(+.f64 (fma.f64 1 (+.f64 y x) (neg.f64 (.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 1))) (fma.f64 (neg.f64 (.f64 (log.f64 y) (+.f64 y 1/2))) 1 (.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 1)))
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(.f64 (/.f64 1 (fma.f64 (log.f64 y) (+.f64 y 1/2) x)) (-.f64 (pow.f64 x 2) (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2)))
(.f64 (/.f64 1 (fma.f64 (log.f64 y) (+.f64 y 1/2) x)) (pow.f64 (/.f64 1 (-.f64 (pow.f64 x 2) (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2))) -1))
(.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 x (.f64 (log.f64 y) (+.f64 y 1/2))))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))) -1))
(.f64 (pow.f64 (/.f64 1 (sqrt.f64 (-.f64 x (.f64 (log.f64 y) (+.f64 y 1/2))))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))) -1))
(pow.f64 (/.f64 1 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))) -1)
(pow.f64 (/.f64 1 (/.f64 1 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))) 1)
(pow.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (/.f64 1 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))) 3) 1/3)
(pow.f64 (pow.f64 (/.f64 1 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))) -1/2) 2)
(pow.f64 (/.f64 (/.f64 1 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))) 1) -1)
(sqrt.f64 (pow.f64 (/.f64 1 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))) -2))
(log.f64 (exp.f64 (/.f64 1 (/.f64 1 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (/.f64 1 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))))))
(cbrt.f64 (pow.f64 (/.f64 1 (/.f64 1 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (/.f64 1 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))))
(exp.f64 (neg.f64 (neg.f64 (log.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))))
(exp.f64 (.f64 (neg.f64 (log.f64 (-.f64 x (.f64 (log.f64 y) (+.f64 y 1/2))))) -1))
(exp.f64 (.f64 (neg.f64 (neg.f64 (log.f64 (-.f64 x (.f64 (log.f64 y) (+.f64 y 1/2)))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (/.f64 1 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))))

simplify440.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1602×	`fma-def`
804×	`times-frac`
520×	`distribute-lft-in`
500×	`sub-neg`
458×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1130	44213
1	3217	40069

Stop Event

1×	node limit

Counts

727 → 739

Calls

Call 1

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

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

eval756.0ms (5.8%)

Compiler: Compiled 26331 to 16929 computations (35.7% saved)

prune345.0ms (2.7%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	814	13	827
Fresh	6	5	11
Picked	4	1	5
Done	0	0	0
Total	824	19	843

Accuracy

100.0%

Counts

843 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.7%	(-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)
▶	99.2%	(-.f64 (-.f64 (+.f64 y x) (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))) 3)) z)
▶	88.1%	(-.f64 (-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) z)
▶	56.1%	(-.f64 (-.f64 y (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (fma.f64 y y -1/4)))) z)
	73.7%	(-.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) z)
	70.8%	(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
	98.7%	(-.f64 (+.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))) 3)) y) z)
	62.0%	(-.f64 (+.f64 (/.f64 1 (/.f64 1 (*.f64 (log.f64 y) (neg.f64 y)))) y) z)
	58.0%	(-.f64 (+.f64 (/.f64 1 (/.f64 1 x)) y) z)
	73.6%	(-.f64 (+.f64 (/.f64 1 (/.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)))) y) z)
	79.1%	(-.f64 (+.f64 (-.f64 x (/.f64 (fma.f64 y y -1/4) (*.f64 (+.f64 y -1/2) (/.f64 1 (log.f64 y))))) y) z)
	62.1%	(-.f64 (+.f64 (*.f64 (log.f64 y) (neg.f64 y)) y) z)
▶	62.1%	(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z)
	58.8%	(-.f64 x z)
	87.6%	(+.f64 x (-.f64 (.f64 y (.f64 (pow.f64 (cbrt.f64 (-.f64 1 (log.f64 y))) 2) (cbrt.f64 (-.f64 1 (log.f64 y))))) z))
	56.8%	(+.f64 x (*.f64 y (-.f64 1 (log.f64 y))))
	86.6%	(.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (.f64 y (-.f64 1 (log.f64 y))) z))) 2) (cbrt.f64 (+.f64 x (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z))))
▶	33.7%	(neg.f64 z)
✓	27.4%	x

Compiler

Compiled 542 to 385 computations (29% saved)

localize304.0ms (2.3%)

Localize:

Found 13 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (-.f64 y (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (fma.f64 y y -1/4)))) z)
✓	99.8%	(-.f64 y (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (fma.f64 y y -1/4))))
✓	99.8%	(/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (fma.f64 y y -1/4)))
✓	79.1%	(/.f64 (+.f64 y -1/2) (fma.f64 y y -1/4))
✓	99.8%	(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
✓	99.6%	(*.f64 y (log.f64 y))
	100.0%	(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z)
	100.0%	(-.f64 1 (log.f64 y))
	99.5%	(*.f64 y (-.f64 1 (log.f64 y)))
✓	99.8%	(-.f64 (+.f64 y x) (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))) 3))
	99.8%	(*.f64 (log.f64 y) (+.f64 y 1/2))
✓	99.1%	(cbrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)))
✓	98.9%	(pow.f64 (cbrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))) 3)

Compiler

Compiled 183 to 84 computations (54.1% saved)

series31.0ms (0.2%)

Counts

9 → 120

Calls

36 calls:

Time	Variable		Point	Expression
12.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))) 3)
4.0ms	y	@	0	(pow.f64 (cbrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))) 3)
2.0ms	y	@	0	(-.f64 (+.f64 y x) (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))) 3))
2.0ms	x	@	0	(-.f64 (+.f64 y x) (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))) 3))
1.0ms	y	@	inf	(pow.f64 (cbrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))) 3)

rewrite283.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

772×	`expm1-udef`
324×	`associate-r`
222×	`prod-diff`
220×	`log1p-expm1-u`
220×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	309
1	473	251
2	7561	251

Stop Event

1×	node limit

Counts

9 → 404

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))) 3)
(cbrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)))
(-.f64 (+.f64 y x) (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))) 3))
(*.f64 y (log.f64 y))
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
(/.f64 (+.f64 y -1/2) (fma.f64 y y -1/4))
(/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (fma.f64 y y -1/4)))
(-.f64 y (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (fma.f64 y y -1/4))))
(-.f64 (-.f64 y (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (fma.f64 y y -1/4)))) z)

Outputs
(+.f64 (.f64 y (log.f64 y)) (.f64 (log.f64 y) 1/2))
(+.f64 (.f64 y (log.f64 y)) (.f64 (*.f64 (log.f64 y) 1/2) 1))
(+.f64 (.f64 (log.f64 y) 1/2) (.f64 y (log.f64 y)))
(+.f64 (.f64 (/.f64 (log.f64 y) (+.f64 y -1/2)) (pow.f64 y 2)) (.f64 (/.f64 (log.f64 y) (+.f64 y -1/2)) -1/4))
(+.f64 (.f64 (pow.f64 y 2) (/.f64 (log.f64 y) (+.f64 y -1/2))) (.f64 -1/4 (/.f64 (log.f64 y) (+.f64 y -1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)))) 1)
(*.f64 (log.f64 y) (+.f64 y 1/2))
(.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 1)
(.f64 (cbrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 2)))
(*.f64 (fma.f64 y y -1/4) (/.f64 (log.f64 y) (+.f64 y -1/2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2)) (cbrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))))
(.f64 1 (.f64 (log.f64 y) (+.f64 y 1/2)))
(.f64 (cbrt.f64 (log.f64 y)) (.f64 (cbrt.f64 (+.f64 y 1/2)) (cbrt.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 2))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) (.f64 (cbrt.f64 (log.f64 y)) (+.f64 y 1/2)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2)))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 2))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2) (.f64 (cbrt.f64 (+.f64 y 1/2)) (log.f64 y)))
(.f64 (sqrt.f64 (log.f64 y)) (.f64 (sqrt.f64 (log.f64 y)) (+.f64 y 1/2)))
(.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 1/6) (.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 1/6) (cbrt.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 2))))
(.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (sqrt.f64 (+.f64 y 1/2)) (log.f64 y)))
(*.f64 (neg.f64 (log.f64 y)) (/.f64 1 (/.f64 -1 (+.f64 y 1/2))))
(*.f64 (+.f64 y 1/2) (log.f64 y))
(.f64 (sqrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2))) (sqrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))))
(*.f64 (/.f64 (log.f64 y) (+.f64 y -1/2)) (fma.f64 y y -1/4))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2))) 3) (cbrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 1/6) 3))
(*.f64 (/.f64 1 (+.f64 y -1/2)) (/.f64 (log.f64 y) (/.f64 1 (fma.f64 y y -1/4))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 y 1/2))) 2)) (/.f64 (log.f64 y) (cbrt.f64 (/.f64 1 (+.f64 y 1/2)))))
(*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 y 1/2)))) (/.f64 (log.f64 y) (/.f64 1 (sqrt.f64 (+.f64 y 1/2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) (+.f64 y -1/2)) (/.f64 (cbrt.f64 (log.f64 y)) (/.f64 1 (fma.f64 y y -1/4))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) 1) (/.f64 (cbrt.f64 (log.f64 y)) (/.f64 1 (+.f64 y 1/2))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 y 1/2))) 2)) (cbrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) (/.f64 1 (sqrt.f64 (+.f64 y 1/2)))) (/.f64 (cbrt.f64 (log.f64 y)) (/.f64 1 (sqrt.f64 (+.f64 y 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 y)) (+.f64 y -1/2)) (/.f64 (sqrt.f64 (log.f64 y)) (/.f64 1 (fma.f64 y y -1/4))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 y)) 1) (/.f64 (sqrt.f64 (log.f64 y)) (/.f64 1 (+.f64 y 1/2))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 y)) (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 y 1/2))) 2)) (/.f64 (sqrt.f64 (log.f64 y)) (cbrt.f64 (/.f64 1 (+.f64 y 1/2)))))
(.f64 (.f64 (/.f64 (log.f64 y) (+.f64 y -1/2)) 1) (fma.f64 y y -1/4))
(.f64 (.f64 (/.f64 (log.f64 y) (+.f64 y -1/2)) (pow.f64 (cbrt.f64 (fma.f64 y y -1/4)) 2)) (cbrt.f64 (fma.f64 y y -1/4)))
(.f64 (.f64 (/.f64 (log.f64 y) (+.f64 y -1/2)) (sqrt.f64 (fma.f64 y y -1/4))) (sqrt.f64 (fma.f64 y y -1/4)))
(.f64 (.f64 (log.f64 y) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (cbrt.f64 (+.f64 y 1/2)))
(.f64 (.f64 (log.f64 y) (sqrt.f64 (+.f64 y 1/2))) (sqrt.f64 (+.f64 y 1/2)))
(.f64 (.f64 (+.f64 y 1/2) (cbrt.f64 (pow.f64 (log.f64 y) 2))) (cbrt.f64 (log.f64 y)))
(.f64 (.f64 (+.f64 y 1/2) (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2)) 1) (cbrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 2)) (cbrt.f64 (log.f64 y))) (cbrt.f64 (+.f64 y 1/2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2)) (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 1/6)) (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 1/6))
(*.f64 (/.f64 (log.f64 y) 1) (+.f64 y 1/2))
(*.f64 (/.f64 (log.f64 y) (+.f64 1/2 (neg.f64 y))) (neg.f64 (fma.f64 y y -1/4)))
(/.f64 (log.f64 y) (/.f64 1 (+.f64 y 1/2)))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 y 1/2)) (log.f64 y)))
(/.f64 1 (/.f64 (/.f64 (/.f64 1 (+.f64 y 1/2)) (log.f64 y)) 1))
(/.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) (/.f64 (/.f64 1 (+.f64 y 1/2)) (cbrt.f64 (log.f64 y))))
(/.f64 (sqrt.f64 (log.f64 y)) (/.f64 (/.f64 1 (+.f64 y 1/2)) (sqrt.f64 (log.f64 y))))
(/.f64 (neg.f64 (log.f64 y)) (/.f64 -1 (+.f64 y 1/2)))
(/.f64 (/.f64 (log.f64 y) (+.f64 y -1/2)) (/.f64 1 (fma.f64 y y -1/4)))
(/.f64 -1 (neg.f64 (/.f64 (/.f64 1 (+.f64 y 1/2)) (log.f64 y))))
(/.f64 (neg.f64 (neg.f64 (log.f64 y))) (neg.f64 (/.f64 -1 (+.f64 y 1/2))))
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(pow.f64 (sqrt.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))) 2)
(sqrt.f64 (pow.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) 2))
(log.f64 (/.f64 (exp.f64 y) (pow.f64 y (+.f64 y 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))))))
(cbrt.f64 (pow.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) 3))
(expm1.f64 (log1p.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(exp.f64 (log.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(exp.f64 (.f64 (log.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))) 1))
(log1p.f64 (expm1.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(fma.f64 1 y (*.f64 (log.f64 y) (neg.f64 (+.f64 y 1/2))))
(fma.f64 (cbrt.f64 (pow.f64 y 2)) (cbrt.f64 y) (*.f64 (log.f64 y) (neg.f64 (+.f64 y 1/2))))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (log.f64 y) (neg.f64 (+.f64 y 1/2))))
(+.f64 y (neg.f64 (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(+.f64 y (+.f64 (*.f64 (log.f64 y) (neg.f64 (+.f64 y 1/2))) (neg.f64 z)))
(+.f64 y (-.f64 (*.f64 (log.f64 y) (neg.f64 (+.f64 y 1/2))) z))
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) (neg.f64 z))
(+.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) (.f64 (neg.f64 z) 1))
(+.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)) (fma.f64 (neg.f64 z) 1 z))
(+.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(+.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(+.f64 (neg.f64 z) (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))))
(*.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)) 1)
(*.f64 1 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(*.f64 (cbrt.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))) (cbrt.f64 (pow.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)) 2)) (cbrt.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))))
(*.f64 (sqrt.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))) (sqrt.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))))
(.f64 (-.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 2) (.f64 z (+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) z)))))
(.f64 (-.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 2) (pow.f64 z 2)) (/.f64 1 (+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) z)))
(.f64 (+.f64 (sqrt.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))) (sqrt.f64 z)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 2) (.f64 z (+.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) z))) (-.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 3) (pow.f64 z 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) z) (-.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 2) (pow.f64 z 2))))
(/.f64 (-.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 2) (.f64 z (+.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) z))))
(/.f64 (-.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 2) (pow.f64 z 2)) (+.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) z))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 2) (.f64 z (+.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 2) (pow.f64 z 2))) (neg.f64 (+.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) z)))
(/.f64 (+.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 3) (pow.f64 (neg.f64 z) 3)) (+.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 2) (-.f64 (.f64 (neg.f64 z) (neg.f64 z)) (.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) (neg.f64 z)))))
(/.f64 (-.f64 (pow.f64 y 3) (pow.f64 (fma.f64 (log.f64 y) (+.f64 y 1/2) z) 3)) (+.f64 (pow.f64 y 2) (+.f64 (.f64 (fma.f64 (log.f64 y) (+.f64 y 1/2) z) (fma.f64 (log.f64 y) (+.f64 y 1/2) z)) (.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))))
(/.f64 (-.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 2) (.f64 (neg.f64 z) (neg.f64 z))) (-.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) (neg.f64 z)))
(/.f64 (-.f64 (pow.f64 y 2) (*.f64 (fma.f64 (log.f64 y) (+.f64 y 1/2) z) (fma.f64 (log.f64 y) (+.f64 y 1/2) z))) (+.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(pow.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)) 1)
(pow.f64 (cbrt.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))) 3)
(pow.f64 (pow.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))) 2)
(sqrt.f64 (pow.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)) 2))
(log.f64 (exp.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))))
(cbrt.f64 (pow.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)) 3))
(expm1.f64 (log1p.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))))
(exp.f64 (log.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))))
(exp.f64 (*.f64 (log.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))) 1))
(log1p.f64 (expm1.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))))
(fma.f64 1 y (neg.f64 (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(fma.f64 1 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) (neg.f64 z))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 2)) (cbrt.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))) (neg.f64 z))
(fma.f64 (cbrt.f64 (pow.f64 y 2)) (cbrt.f64 y) (neg.f64 (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(fma.f64 (sqrt.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))) (sqrt.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))) (neg.f64 z))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))

simplify304.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1550×	`fma-def`
584×	`distribute-rgt-in`
548×	`distribute-lft-in`
406×	`associate-+r+`
398×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	971	28536
1	2723	25898

Stop Event

1×	node limit

Counts

524 → 586

Calls

Call 1

Inputs
(.f64 1/2 (.f64 (pow.f64 1 1/3) (log.f64 y)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (log.f64 y))) (.f64 y (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 y) 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (.f64 2/3 (.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 y) 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (log.f64 y))) (+.f64 (.f64 y (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 y) 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 y) 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 y) 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 y) 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) (.f64 (cbrt.f64 1/2) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 y) 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 y) 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))))))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (log.f64 y))) (+.f64 (.f64 y (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 y) 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 y) 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 y) 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 y) 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) (.f64 (cbrt.f64 1/2) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 y) 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 y) 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))))))))) (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (log.f64 y) 7) 1/3)))) (.f64 1/27 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 y) 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))))) (+.f64 (.f64 -2/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (log.f64 y) 7) 1/3)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 y) 7)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 y) 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 y) 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))))))) (.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) (.f64 (cbrt.f64 1/2) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 y)) 1/3) (/.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (log.f64 y) 7) 1/3)))) (.f64 1/27 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 y) 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (cbrt.f64 1/2)))) (.f64 -4/27 (.f64 (pow.f64 1 1/9) (pow.f64 (log.f64 y) 2)))))))))))))
(.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) (cbrt.f64 1/2))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 y) 7)) 1/9) (.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) (cbrt.f64 1/2)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 y) 11)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 y) 7)) 1/9) (.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) (cbrt.f64 1/2))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 y) 2)) 1/3) (/.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (log.f64 y) 7) 1/3)))) (.f64 1/27 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 y) 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 y) 11)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 y) 7)) 1/9) (.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (.f64 (pow.f64 (*.f64 1 (log.f64 y)) 1/3) (cbrt.f64 1/2)))))
(-.f64 x (.f64 1/2 (.f64 (pow.f64 1 1/3) (log.f64 y))))
(-.f64 (+.f64 x (.f64 y (-.f64 1 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 y) 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 y) 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))))) (.f64 1/2 (*.f64 (pow.f64 1 1/3) (log.f64 y))))
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(.f64 (cbrt.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))) (cbrt.f64 (pow.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 2)) (cbrt.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(.f64 (sqrt.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))) (sqrt.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(.f64 (-.f64 (pow.f64 y 3) (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 3)) (/.f64 1 (fma.f64 y y (.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))))))
(.f64 (-.f64 (pow.f64 y 2) (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2)) (/.f64 1 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2)))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(/.f64 1 (/.f64 (fma.f64 y y (.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))))) (-.f64 (pow.f64 y 3) (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 3))))
(/.f64 1 (/.f64 (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 (pow.f64 y 2) (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2))))
(/.f64 (-.f64 (pow.f64 y 3) (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 3)) (fma.f64 y y (.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))))))
(/.f64 (-.f64 (pow.f64 y 2) (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2)) (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y 3) (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 3))) (neg.f64 (fma.f64 y y (.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y 2) (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2))) (neg.f64 (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (.f64 (log.f64 y) (neg.f64 (+.f64 y 1/2))) 3)) (+.f64 (pow.f64 y 2) (-.f64 (.f64 (.f64 (log.f64 y) (neg.f64 (+.f64 y 1/2))) (.f64 (log.f64 y) (neg.f64 (+.f64 y 1/2)))) (.f64 y (.f64 (log.f64 y) (neg.f64 (+.f64 y 1/2)))))))
(/.f64 (-.f64 (pow.f64 y 2) (.f64 (.f64 (log.f64 y) (neg.f64 (+.f64 y 1/2))) (.f64 (log.f64 y) (neg.f64 (+.f64 y 1/2))))) (-.f64 y (.f64 (log.f64 y) (neg.f64 (+.f64 y 1/2)))))
(pow.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) 1)
(pow.f64 (cbrt.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))) 3)
(pow.f64 (pow.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))) 2)
(sqrt.f64 (pow.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) 2))
(log.f64 (/.f64 (exp.f64 y) (pow.f64 y (+.f64 y 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))))))
(cbrt.f64 (pow.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) 3))
(expm1.f64 (log1p.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(exp.f64 (log.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(exp.f64 (.f64 (log.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))) 1))
(log1p.f64 (expm1.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(fma.f64 1 y (*.f64 (log.f64 y) (neg.f64 (+.f64 y 1/2))))
(fma.f64 (cbrt.f64 (pow.f64 y 2)) (cbrt.f64 y) (*.f64 (log.f64 y) (neg.f64 (+.f64 y 1/2))))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (log.f64 y) (neg.f64 (+.f64 y 1/2))))
(+.f64 y (neg.f64 (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(+.f64 y (+.f64 (*.f64 (log.f64 y) (neg.f64 (+.f64 y 1/2))) (neg.f64 z)))
(+.f64 y (-.f64 (*.f64 (log.f64 y) (neg.f64 (+.f64 y 1/2))) z))
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) (neg.f64 z))
(+.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) (.f64 (neg.f64 z) 1))
(+.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)) (fma.f64 (neg.f64 z) 1 z))
(+.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(+.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(+.f64 (neg.f64 z) (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))))
(*.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)) 1)
(*.f64 1 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(*.f64 (cbrt.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))) (cbrt.f64 (pow.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)) 2)) (cbrt.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))))
(*.f64 (sqrt.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))) (sqrt.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))))
(.f64 (-.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 2) (.f64 z (+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) z)))))
(.f64 (-.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 2) (pow.f64 z 2)) (/.f64 1 (+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) z)))
(.f64 (+.f64 (sqrt.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))) (sqrt.f64 z)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 2) (.f64 z (+.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) z))) (-.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 3) (pow.f64 z 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) z) (-.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 2) (pow.f64 z 2))))
(/.f64 (-.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 2) (.f64 z (+.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) z))))
(/.f64 (-.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 2) (pow.f64 z 2)) (+.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) z))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 2) (.f64 z (+.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 2) (pow.f64 z 2))) (neg.f64 (+.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) z)))
(/.f64 (+.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 3) (pow.f64 (neg.f64 z) 3)) (+.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 2) (-.f64 (.f64 (neg.f64 z) (neg.f64 z)) (.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) (neg.f64 z)))))
(/.f64 (-.f64 (pow.f64 y 3) (pow.f64 (fma.f64 (log.f64 y) (+.f64 y 1/2) z) 3)) (+.f64 (pow.f64 y 2) (+.f64 (.f64 (fma.f64 (log.f64 y) (+.f64 y 1/2) z) (fma.f64 (log.f64 y) (+.f64 y 1/2) z)) (.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))))
(/.f64 (-.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 2) (.f64 (neg.f64 z) (neg.f64 z))) (-.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) (neg.f64 z)))
(/.f64 (-.f64 (pow.f64 y 2) (*.f64 (fma.f64 (log.f64 y) (+.f64 y 1/2) z) (fma.f64 (log.f64 y) (+.f64 y 1/2) z))) (+.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(pow.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)) 1)
(pow.f64 (cbrt.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))) 3)
(pow.f64 (pow.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))) 2)
(sqrt.f64 (pow.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)) 2))
(log.f64 (exp.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))))
(cbrt.f64 (pow.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)) 3))
(expm1.f64 (log1p.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))))
(exp.f64 (log.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))))
(exp.f64 (*.f64 (log.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))) 1))
(log1p.f64 (expm1.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))))
(fma.f64 1 y (neg.f64 (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(fma.f64 1 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) (neg.f64 z))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 2)) (cbrt.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))) (neg.f64 z))
(fma.f64 (cbrt.f64 (pow.f64 y 2)) (cbrt.f64 y) (neg.f64 (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(fma.f64 (sqrt.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))) (sqrt.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))) (neg.f64 z))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))

Outputs
(.f64 1/2 (.f64 (pow.f64 1 1/3) (log.f64 y)))
(*.f64 1/2 (log.f64 y))
(+.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (log.f64 y))) (.f64 y (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 y) 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (.f64 2/3 (.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 y) 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))))
(fma.f64 1/2 (log.f64 y) (.f64 y (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 y) 13) 1/18) (pow.f64 (pow.f64 (log.f64 y) 13) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4))) 1)))
(fma.f64 y (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 y) 13) 1/18) (pow.f64 (pow.f64 (log.f64 y) 13) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4))) (*.f64 1/2 (log.f64 y)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (log.f64 y))) (+.f64 (.f64 y (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 y) 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 y) 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 y) 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 y) 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) (.f64 (cbrt.f64 1/2) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 y) 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 y) 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))))))))))
(fma.f64 1/2 (log.f64 y) (fma.f64 y (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 y) 13) 1/18) (pow.f64 (pow.f64 (log.f64 y) 13) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4))) 1) (.f64 (pow.f64 y 2) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 y) 17) 1/18) (pow.f64 (pow.f64 (log.f64 y) 17) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))) (fma.f64 2/9 (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 y) 17) 1/18) (pow.f64 (pow.f64 (log.f64 y) 17) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))) (.f64 (.f64 (cbrt.f64 1/2) (.f64 (.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 y) 14) 1/18) (pow.f64 (pow.f64 (log.f64 y) 14) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))) -1/9)) (cbrt.f64 (log.f64 y))))))))
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(expm1.f64 (log1p.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))))
(fma.f64 -1 (+.f64 z (.f64 1/2 (log.f64 y))) (.f64 y (-.f64 1 (log.f64 y))))
(-.f64 y (fma.f64 (log.f64 y) (+.f64 1/2 y) z))
(exp.f64 (log.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))))
(fma.f64 -1 (+.f64 z (.f64 1/2 (log.f64 y))) (.f64 y (-.f64 1 (log.f64 y))))
(-.f64 y (fma.f64 (log.f64 y) (+.f64 1/2 y) z))
(exp.f64 (*.f64 (log.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))) 1))
(fma.f64 -1 (+.f64 z (.f64 1/2 (log.f64 y))) (.f64 y (-.f64 1 (log.f64 y))))
(-.f64 y (fma.f64 (log.f64 y) (+.f64 1/2 y) z))
(log1p.f64 (expm1.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))))
(fma.f64 -1 (+.f64 z (.f64 1/2 (log.f64 y))) (.f64 y (-.f64 1 (log.f64 y))))
(-.f64 y (fma.f64 (log.f64 y) (+.f64 1/2 y) z))
(fma.f64 1 y (neg.f64 (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(fma.f64 -1 (+.f64 z (.f64 1/2 (log.f64 y))) (.f64 y (-.f64 1 (log.f64 y))))
(-.f64 y (fma.f64 (log.f64 y) (+.f64 1/2 y) z))
(fma.f64 1 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) (neg.f64 z))
(fma.f64 -1 (+.f64 z (.f64 1/2 (log.f64 y))) (.f64 y (-.f64 1 (log.f64 y))))
(-.f64 y (fma.f64 (log.f64 y) (+.f64 1/2 y) z))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 2)) (cbrt.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))) (neg.f64 z))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 2)) (cbrt.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y)))) (neg.f64 z))
(-.f64 (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (fma.f64 -1 y -1/2) y)) (cbrt.f64 (pow.f64 (fma.f64 (log.f64 y) (fma.f64 -1 y -1/2) y) 2))) z)
(fma.f64 (cbrt.f64 (pow.f64 y 2)) (cbrt.f64 y) (neg.f64 (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(fma.f64 (cbrt.f64 (pow.f64 y 2)) (cbrt.f64 y) (neg.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 y 2)) (cbrt.f64 y)) (fma.f64 (log.f64 y) (+.f64 1/2 y) z))
(fma.f64 (sqrt.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))) (sqrt.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))) (neg.f64 z))
(fma.f64 -1 (+.f64 z (.f64 1/2 (log.f64 y))) (.f64 y (-.f64 1 (log.f64 y))))
(-.f64 y (fma.f64 (log.f64 y) (+.f64 1/2 y) z))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(fma.f64 -1 (+.f64 z (.f64 1/2 (log.f64 y))) (.f64 y (-.f64 1 (log.f64 y))))
(-.f64 y (fma.f64 (log.f64 y) (+.f64 1/2 y) z))

eval618.0ms (4.8%)

Compiler: Compiled 16911 to 10126 computations (40.1% saved)

prune156.0ms (1.2%)

Pruning

22 alts after pruning (18 fresh and 4 done)

	Pruned	Kept	Total
New	714	11	725
Fresh	6	7	13
Picked	2	3	5
Done	0	1	1
Total	722	22	744

Accuracy

100.0%

Counts

744 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.7%	(-.f64 (-.f64 (+.f64 y x) (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 3)) z)
▶	99.8%	(-.f64 (-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 1 (+.f64 y 1/2)))) z)
✓	88.1%	(-.f64 (-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) z)
	73.3%	(-.f64 (-.f64 y (/.f64 (log.f64 y) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1/2))) 2))) z)
	62.1%	(-.f64 (-.f64 y (/.f64 (log.f64 y) (/.f64 1 y))) z)
	44.7%	(-.f64 (-.f64 y (/.f64 (log.f64 y) (+.f64 2 (*.f64 y -4)))) z)
	44.6%	(-.f64 (-.f64 y (/.f64 (log.f64 y) 2)) z)
▶	73.7%	(-.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) z)
	62.1%	(-.f64 (-.f64 y (*.f64 y (log.f64 y))) z)
	70.8%	(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
	62.0%	(-.f64 (+.f64 (/.f64 1 (/.f64 1 (*.f64 (log.f64 y) (neg.f64 y)))) y) z)
▶	73.6%	(-.f64 (+.f64 (/.f64 1 (/.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)))) y) z)
	79.1%	(-.f64 (+.f64 (-.f64 x (/.f64 (fma.f64 y y -1/4) (*.f64 (+.f64 y -1/2) (/.f64 1 (log.f64 y))))) y) z)
	58.1%	(-.f64 (+.f64 y x) z)
	45.7%	(-.f64 (*.f64 (log.f64 y) -1/2) z)
✓	62.1%	(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z)
	61.6%	(-.f64 (.f64 y (.f64 (pow.f64 (cbrt.f64 (-.f64 1 (log.f64 y))) 2) (cbrt.f64 (-.f64 1 (log.f64 y))))) z)
	33.3%	(-.f64 y z)
▶	58.8%	(-.f64 x z)
▶	56.8%	(+.f64 x (*.f64 y (-.f64 1 (log.f64 y))))
✓	33.7%	(neg.f64 z)
✓	27.4%	x

Compiler

Compiled 513 to 367 computations (28.5% saved)

localize195.0ms (1.5%)

Localize:

Found 14 expressions with local error:

New	Accuracy	Program
✓	99.8%	(+.f64 (/.f64 1 (/.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)))) y)
✓	99.8%	(*.f64 (log.f64 y) (+.f64 1/2 y))
✓	99.6%	(/.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)))
✓	99.5%	(/.f64 1 (/.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y))))
✓	100.0%	(-.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) z)
✓	99.8%	(-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))
	99.8%	(*.f64 (log.f64 y) (+.f64 y 1/2))
✓	100.0%	(+.f64 x (*.f64 y (-.f64 1 (log.f64 y))))
	100.0%	(-.f64 1 (log.f64 y))
	99.5%	(*.f64 y (-.f64 1 (log.f64 y)))
✓	100.0%	(-.f64 (-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 1 (+.f64 y 1/2)))) z)
✓	100.0%	(/.f64 1 (+.f64 y 1/2))
✓	99.8%	(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 1 (+.f64 y 1/2))))
✓	99.8%	(/.f64 (log.f64 y) (/.f64 1 (+.f64 y 1/2)))

Compiler

Compiled 176 to 95 computations (46% saved)

series13.0ms (0.1%)

Counts

11 → 180

Calls

48 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(/.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)))
1.0ms	y	@	inf	(/.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)))
0.0ms	y	@	0	(/.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)))
0.0ms	y	@	-inf	(/.f64 1 (/.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y))))
0.0ms	y	@	inf	(/.f64 1 (/.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y))))

rewrite160.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

264×	`log1p-expm1-u`
264×	`expm1-log1p-u`
260×	`add-cube-cbrt`
258×	`add-exp-log`
255×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	372
1	579	330

Stop Event

1×	node limit

Counts

11 → 566

Calls

Call 1

Inputs
(/.f64 (log.f64 y) (/.f64 1 (+.f64 y 1/2)))
(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 1 (+.f64 y 1/2))))
(/.f64 1 (+.f64 y 1/2))
(-.f64 (-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 1 (+.f64 y 1/2)))) z)
(+.f64 x (*.f64 y (-.f64 1 (log.f64 y))))
(-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))
(-.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) z)
(/.f64 1 (/.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y))))
(/.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(+.f64 (/.f64 1 (/.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)))) y)

Outputs
(+.f64 (.f64 (log.f64 y) y) (.f64 (log.f64 y) 1/2))
(+.f64 (.f64 (log.f64 y) 1/2) (.f64 (log.f64 y) y))
(+.f64 (.f64 y (log.f64 y)) (.f64 1/2 (log.f64 y)))
(+.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))
(+.f64 (neg.f64 (.f64 (log.f64 y) y)) (neg.f64 (.f64 (log.f64 y) 1/2)))
(+.f64 (neg.f64 (.f64 (log.f64 y) 1/2)) (neg.f64 (.f64 (log.f64 y) y)))
(+.f64 (neg.f64 (.f64 y (log.f64 y))) (neg.f64 (.f64 1/2 (log.f64 y))))
(+.f64 (neg.f64 (.f64 1/2 (log.f64 y))) (neg.f64 (.f64 y (log.f64 y))))
(+.f64 (.f64 y (neg.f64 (log.f64 y))) (.f64 1/2 (neg.f64 (log.f64 y))))
(+.f64 (.f64 -1 (.f64 (log.f64 y) y)) (.f64 -1 (.f64 (log.f64 y) 1/2)))
(+.f64 (.f64 -1 (.f64 (log.f64 y) 1/2)) (.f64 -1 (.f64 (log.f64 y) y)))
(+.f64 (.f64 -1 (.f64 y (log.f64 y))) (.f64 -1 (.f64 1/2 (log.f64 y))))
(+.f64 (.f64 -1 (.f64 1/2 (log.f64 y))) (.f64 -1 (.f64 y (log.f64 y))))
(+.f64 (.f64 (neg.f64 (log.f64 y)) y) (.f64 (neg.f64 (log.f64 y)) 1/2))
(+.f64 (.f64 (neg.f64 (log.f64 y)) 1/2) (.f64 (neg.f64 (log.f64 y)) y))
(+.f64 (.f64 (.f64 (log.f64 y) y) 1) (.f64 (.f64 (log.f64 y) 1/2) 1))
(+.f64 (.f64 (.f64 (log.f64 y) 1/2) 1) (.f64 (.f64 (log.f64 y) y) 1))
(+.f64 (.f64 (.f64 y (log.f64 y)) 1) (.f64 (.f64 1/2 (log.f64 y)) 1))
(+.f64 (.f64 (.f64 1/2 (log.f64 y)) 1) (.f64 (.f64 y (log.f64 y)) 1))
(+.f64 (.f64 (.f64 (log.f64 y) y) -1) (.f64 (.f64 (log.f64 y) 1/2) -1))
(+.f64 (.f64 (.f64 (log.f64 y) 1/2) -1) (.f64 (.f64 (log.f64 y) y) -1))
(+.f64 (.f64 (.f64 y (log.f64 y)) -1) (.f64 (.f64 1/2 (log.f64 y)) -1))
(+.f64 (.f64 (.f64 1/2 (log.f64 y)) -1) (.f64 (.f64 y (log.f64 y)) -1))
(+.f64 (.f64 1/2 (neg.f64 (log.f64 y))) (.f64 y (neg.f64 (log.f64 y))))
(-.f64 0 (*.f64 (log.f64 y) (+.f64 y 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)))) 1)
(*.f64 (log.f64 y) (+.f64 y 1/2))
(*.f64 (log.f64 y) (+.f64 (neg.f64 y) -1/2))
(.f64 1 (.f64 (log.f64 y) (+.f64 y 1/2)))
(*.f64 (+.f64 y 1/2) (log.f64 y))
(*.f64 (+.f64 y 1/2) (neg.f64 (log.f64 y)))
(.f64 -1 (.f64 (log.f64 y) (+.f64 y 1/2)))
(.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) -1)
(.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2))) 2) (cbrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2))) 2) (neg.f64 (cbrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(.f64 (sqrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2))) (sqrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))))
(.f64 (sqrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2))) (neg.f64 (sqrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(*.f64 (+.f64 (neg.f64 y) -1/2) (log.f64 y))
(*.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2))
(*.f64 (neg.f64 (log.f64 y)) (/.f64 1 (/.f64 -1 (+.f64 y 1/2))))
(.f64 (neg.f64 (sqrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2)))) (sqrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))))
(.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2)))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)))) -1))
(.f64 (pow.f64 (/.f64 1 (sqrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2)))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 y 1/2) -2))) (/.f64 (log.f64 y) (/.f64 1 (cbrt.f64 (+.f64 y 1/2)))))
(*.f64 (/.f64 1 (pow.f64 (+.f64 y 1/2) -1/2)) (/.f64 (log.f64 y) (pow.f64 (+.f64 y 1/2) -1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) 1) (/.f64 (cbrt.f64 (log.f64 y)) (/.f64 1 (+.f64 y 1/2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (cbrt.f64 (pow.f64 (+.f64 y 1/2) -2))) (cbrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (pow.f64 (+.f64 y 1/2) -1/2)) (/.f64 (cbrt.f64 (log.f64 y)) (pow.f64 (+.f64 y 1/2) -1/2)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 y)) 1) (/.f64 (sqrt.f64 (log.f64 y)) (/.f64 1 (+.f64 y 1/2))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 y)) (cbrt.f64 (pow.f64 (+.f64 y 1/2) -2))) (/.f64 (sqrt.f64 (log.f64 y)) (/.f64 1 (cbrt.f64 (+.f64 y 1/2)))))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2))) 2)) (cbrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))))
(pow.f64 (/.f64 1 (*.f64 (log.f64 y) (+.f64 y 1/2))) -1)
(pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))) 2)
(neg.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)))
(neg.f64 (/.f64 (log.f64 y) (/.f64 -1 (+.f64 y 1/2))))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 2))
(log.f64 (pow.f64 y (+.f64 y 1/2)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 y (+.f64 y 1/2)) 1)))
(log.f64 (/.f64 1 (pow.f64 y (+.f64 y 1/2))))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))))
(exp.f64 (log.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 y) (+.f64 y 1/2))) 1))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 (log.f64 y) (+.f64 y 1/2)))) -1))
(log1p.f64 (-.f64 (pow.f64 y (+.f64 y 1/2)) 1))
(fma.f64 y (log.f64 y) (*.f64 1/2 (log.f64 y)))
(fma.f64 (log.f64 y) y (*.f64 (log.f64 y) 1/2))
(fma.f64 (log.f64 y) 1/2 (*.f64 (log.f64 y) y))
(fma.f64 1/2 (log.f64 y) (*.f64 y (log.f64 y)))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))))
(+.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(+.f64 (+.f64 x (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2)))) (sqrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2))) (.f64 (log.f64 y) (+.f64 y 1/2))))
(+.f64 (+.f64 x (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))) (fma.f64 (+.f64 (neg.f64 y) -1/2) (log.f64 y) (.f64 (log.f64 y) (+.f64 y 1/2))))
(+.f64 (fma.f64 1 (+.f64 y x) (neg.f64 (.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 1))) (fma.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 1 (.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 1)))
(+.f64 (fma.f64 1 (+.f64 y x) (neg.f64 (.f64 (cbrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2))) (pow.f64 (cbrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2)))) (pow.f64 (cbrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2))) 2) (.f64 (cbrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2))) (pow.f64 (cbrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (cbrt.f64 (+.f64 y x)) (neg.f64 (.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 1))) (fma.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 1 (.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (cbrt.f64 (+.f64 y x)) (neg.f64 (.f64 (cbrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2))) (pow.f64 (cbrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2)))) (pow.f64 (cbrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2))) 2) (.f64 (cbrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2))) (pow.f64 (cbrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2))) 2))))
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(/.f64 1 (/.f64 1 (*.f64 (log.f64 y) (+.f64 y 1/2))))
(/.f64 -1 (/.f64 1 (*.f64 (log.f64 y) (+.f64 y 1/2))))
(/.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 1)
(/.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) -1)
(/.f64 (neg.f64 (log.f64 y)) (/.f64 1 (+.f64 y 1/2)))
(/.f64 (neg.f64 (log.f64 y)) (/.f64 -1 (+.f64 y 1/2)))
(/.f64 (.f64 (log.f64 y) (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (.f64 y (+.f64 y -1/2))))
(/.f64 (.f64 (log.f64 y) (+.f64 (pow.f64 y 3) 1/8)) (fma.f64 y y (-.f64 1/4 (.f64 y 1/2))))
(/.f64 (*.f64 (log.f64 y) (-.f64 1/4 (pow.f64 y 2))) (-.f64 1/2 y))
(/.f64 (*.f64 (log.f64 y) (fma.f64 y y -1/4)) (+.f64 y -1/2))
(/.f64 (neg.f64 (neg.f64 (log.f64 y))) (/.f64 -1 (+.f64 y 1/2)))
(/.f64 (neg.f64 (neg.f64 (log.f64 y))) (neg.f64 (/.f64 -1 (+.f64 y 1/2))))
(/.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) y) 3) (pow.f64 (.f64 (log.f64 y) 1/2) 3)) (+.f64 (.f64 (.f64 (log.f64 y) y) (.f64 (log.f64 y) y)) (-.f64 (.f64 (.f64 (log.f64 y) 1/2) (.f64 (log.f64 y) 1/2)) (.f64 (.f64 (log.f64 y) y) (*.f64 (log.f64 y) 1/2)))))
(/.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) 1/2) 3) (pow.f64 (.f64 (log.f64 y) y) 3)) (+.f64 (.f64 (.f64 (log.f64 y) 1/2) (.f64 (log.f64 y) 1/2)) (-.f64 (.f64 (.f64 (log.f64 y) y) (.f64 (log.f64 y) y)) (.f64 (.f64 (log.f64 y) 1/2) (*.f64 (log.f64 y) y)))))
(/.f64 (+.f64 (pow.f64 (.f64 y (log.f64 y)) 3) (pow.f64 (.f64 1/2 (log.f64 y)) 3)) (+.f64 (.f64 (.f64 y (log.f64 y)) (.f64 y (log.f64 y))) (-.f64 (.f64 (.f64 1/2 (log.f64 y)) (.f64 1/2 (log.f64 y))) (.f64 (.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y))))))
(/.f64 (+.f64 (pow.f64 (.f64 1/2 (log.f64 y)) 3) (pow.f64 (.f64 y (log.f64 y)) 3)) (+.f64 (.f64 (.f64 1/2 (log.f64 y)) (.f64 1/2 (log.f64 y))) (-.f64 (.f64 (.f64 y (log.f64 y)) (.f64 y (log.f64 y))) (.f64 (.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y))))))
(/.f64 (-.f64 (.f64 (.f64 (log.f64 y) y) (.f64 (log.f64 y) y)) (.f64 (.f64 (log.f64 y) 1/2) (.f64 (log.f64 y) 1/2))) (-.f64 (.f64 (log.f64 y) y) (.f64 (log.f64 y) 1/2)))
(/.f64 (-.f64 (.f64 (.f64 (log.f64 y) 1/2) (.f64 (log.f64 y) 1/2)) (.f64 (.f64 (log.f64 y) y) (.f64 (log.f64 y) y))) (-.f64 (.f64 (log.f64 y) 1/2) (.f64 (log.f64 y) y)))
(/.f64 (-.f64 (.f64 (.f64 y (log.f64 y)) (.f64 y (log.f64 y))) (.f64 (.f64 1/2 (log.f64 y)) (.f64 1/2 (log.f64 y)))) (-.f64 (.f64 y (log.f64 y)) (.f64 1/2 (log.f64 y))))
(/.f64 (-.f64 (.f64 (.f64 1/2 (log.f64 y)) (.f64 1/2 (log.f64 y))) (.f64 (.f64 y (log.f64 y)) (.f64 y (log.f64 y)))) (-.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y))))
(pow.f64 (/.f64 1 (*.f64 (log.f64 y) (+.f64 y 1/2))) -1)
(pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))) 2)
(neg.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)))
(neg.f64 (/.f64 (log.f64 y) (/.f64 -1 (+.f64 y 1/2))))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 2))
(log.f64 (pow.f64 y (+.f64 y 1/2)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 y (+.f64 y 1/2)) 1)))
(log.f64 (/.f64 1 (pow.f64 y (+.f64 y 1/2))))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))))
(exp.f64 (log.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 y) (+.f64 y 1/2))) 1))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 (log.f64 y) (+.f64 y 1/2)))) -1))
(log1p.f64 (-.f64 (pow.f64 y (+.f64 y 1/2)) 1))
(fma.f64 y (log.f64 y) (*.f64 1/2 (log.f64 y)))
(fma.f64 (log.f64 y) y (*.f64 (log.f64 y) 1/2))
(fma.f64 (log.f64 y) 1/2 (*.f64 (log.f64 y) y))
(fma.f64 1/2 (log.f64 y) (*.f64 y (log.f64 y)))
(-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))))) 1)
(-.f64 (/.f64 (pow.f64 y 3) (fma.f64 y y (.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))))) (/.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 3) (fma.f64 y y (.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))))))
(-.f64 (/.f64 (pow.f64 y 2) (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))) (/.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2) (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(-.f64 (/.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2) (-.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) y)) (/.f64 (pow.f64 y 2) (-.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) y)))
(-.f64 (-.f64 y (.f64 (log.f64 y) y)) (.f64 (log.f64 y) 1/2))
(-.f64 (-.f64 y (.f64 (log.f64 y) 1/2)) (.f64 (log.f64 y) y))
(-.f64 (-.f64 y (.f64 y (log.f64 y))) (.f64 1/2 (log.f64 y)))
(-.f64 (-.f64 y (.f64 1/2 (log.f64 y))) (.f64 y (log.f64 y)))
(.f64 1 (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))) 2) (cbrt.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(.f64 (pow.f64 (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 2) (/.f64 1 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(.f64 (sqrt.f64 (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))) (sqrt.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2) (.f64 y (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))))))
(.f64 (-.f64 (pow.f64 y 3) (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 3)) (/.f64 1 (fma.f64 y y (.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))))))
(.f64 (-.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2) (pow.f64 y 2)) (/.f64 1 (-.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) y)))
(.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2)))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(/.f64 1 (/.f64 (fma.f64 y y (.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))))) (-.f64 (pow.f64 y 3) (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 3))))
(/.f64 1 (/.f64 (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) (pow.f64 (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2) (.f64 y (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))))) (+.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 3) (pow.f64 y 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) y) (-.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2) (pow.f64 y 2))))
(/.f64 (pow.f64 (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 2) (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))))
(/.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2) (.f64 y (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))))))
(/.f64 (-.f64 (pow.f64 y 3) (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 3)) (fma.f64 y y (.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))))))
(/.f64 (-.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2) (pow.f64 y 2)) (-.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) y))
(/.f64 (neg.f64 (-.f64 (pow.f64 y 3) (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 3))) (neg.f64 (fma.f64 y y (.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))))))
(/.f64 (neg.f64 (pow.f64 (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 2)) (neg.f64 (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2) (.f64 y (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2) (pow.f64 y 2))) (neg.f64 (-.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) y)))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 3)) (+.f64 (pow.f64 y 2) (-.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2) (.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))))))
(pow.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) 1)
(pow.f64 (cbrt.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))) 3)
(pow.f64 (pow.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))) 2)
(sqrt.f64 (pow.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) 2))
(log.f64 (*.f64 (pow.f64 y (+.f64 y 1/2)) (exp.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))))))
(cbrt.f64 (pow.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) 3))
(expm1.f64 (log1p.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(exp.f64 (log.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(exp.f64 (.f64 (log.f64 (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))) 1))
(log1p.f64 (expm1.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(fma.f64 1 y (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y)
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2))) 2) (cbrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2))) y)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (sqrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2))) (sqrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2))) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (log.f64 y) (+.f64 y 1/2)))

simplify276.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

696×	`distribute-rgt-in`
668×	`distribute-lft-in`
658×	`times-frac`
576×	`fma-neg`
498×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1082	36142
1	3105	34268

Stop Event

1×	node limit

Counts

746 → 726

Calls

Call 1

Inputs
(*.f64 1/2 (log.f64 y))
(+.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))
(+.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))
(+.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))
(.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))
(+.f64 (.f64 -1 (.f64 y (log.f64 (/.f64 1 y)))) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(+.f64 (.f64 -1 (.f64 y (log.f64 (/.f64 1 y)))) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(+.f64 (.f64 -1 (.f64 y (log.f64 (/.f64 1 y)))) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(.f64 y (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y)))))
(+.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y))))) (.f64 y (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y))))))
(+.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y))))) (.f64 y (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y))))))
(+.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y))))) (.f64 y (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y))))))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 x (.f64 y (-.f64 1 (log.f64 y)))) (.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 x (.f64 y (-.f64 1 (log.f64 y)))) (.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 x (.f64 y (-.f64 1 (log.f64 y)))) (.f64 1/2 (log.f64 y)))
(.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))))
(-.f64 (+.f64 x (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))))) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 x (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))))) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 x (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))))) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(.f64 y (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y)))))))
(-.f64 (+.f64 x (.f64 y (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y)))))))) (.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y))))))
(-.f64 (+.f64 x (.f64 y (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y)))))))) (.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y))))))
(-.f64 (+.f64 x (.f64 y (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y)))))))) (.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y))))))
(-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 x y) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 x y) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 x y) (*.f64 (log.f64 y) (+.f64 1/2 y)))
x
(-.f64 (+.f64 x y) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 x y) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 x y) (*.f64 (log.f64 y) (+.f64 1/2 y)))
x
(-.f64 (+.f64 x y) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 x y) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 x y) (*.f64 (log.f64 y) (+.f64 1/2 y)))
2
(+.f64 2 (*.f64 -4 y))
(+.f64 2 (+.f64 (.f64 -4 y) (.f64 8 (pow.f64 y 2))))
(+.f64 2 (+.f64 (.f64 -16 (pow.f64 y 3)) (+.f64 (.f64 -4 y) (*.f64 8 (pow.f64 y 2)))))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 y 3))) (/.f64 1 y)) (.f64 1/2 (/.f64 1 (pow.f64 y 2))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 y 3))) (/.f64 1 y)) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 y 4))) (*.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(/.f64 1 y)
(-.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 y 3))) (/.f64 1 y)) (.f64 1/2 (/.f64 1 (pow.f64 y 2))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 y 3))) (/.f64 1 y)) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 y 4))) (*.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(-.f64 x (+.f64 z (*.f64 1/2 (log.f64 y))))
(-.f64 (+.f64 x (.f64 y (-.f64 1 (log.f64 y)))) (+.f64 z (.f64 1/2 (log.f64 y))))
(-.f64 (+.f64 x (.f64 y (-.f64 1 (log.f64 y)))) (+.f64 z (.f64 1/2 (log.f64 y))))
(-.f64 (+.f64 x (.f64 y (-.f64 1 (log.f64 y)))) (+.f64 z (.f64 1/2 (log.f64 y))))
(.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))))
(-.f64 (+.f64 x (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))))) (+.f64 z (*.f64 -1/2 (log.f64 (/.f64 1 y)))))
(-.f64 (+.f64 x (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))))) (+.f64 z (*.f64 -1/2 (log.f64 (/.f64 1 y)))))
(-.f64 (+.f64 x (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))))) (+.f64 z (*.f64 -1/2 (log.f64 (/.f64 1 y)))))
(.f64 y (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y)))))))
(-.f64 (+.f64 x (.f64 y (+.f64 1 (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y)))))))) (+.f64 z (.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 y)))))))
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(*.f64 (/.f64 (pow.f64 (+.f64 y 1/2) -1/2) (sqrt.f64 (log.f64 y))) (/.f64 (pow.f64 (+.f64 y 1/2) -1/2) (sqrt.f64 (log.f64 y))))
(.f64 (neg.f64 (pow.f64 (/.f64 1 (cbrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2)))) 2)) (/.f64 1 (cbrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(.f64 (neg.f64 (/.f64 1 (sqrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2))))) (/.f64 1 (sqrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(pow.f64 (/.f64 1 (*.f64 (log.f64 y) (+.f64 y 1/2))) 1)
(pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) -1)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 y) (+.f64 y 1/2))) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)))) 2)
(neg.f64 (/.f64 1 (*.f64 (log.f64 y) (+.f64 y 1/2))))
(sqrt.f64 (/.f64 1 (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 2)))
(log.f64 (exp.f64 (/.f64 1 (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 (log.f64 y) (+.f64 y 1/2))))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 1 (*.f64 (log.f64 y) (+.f64 y 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 y) (+.f64 y 1/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (+.f64 y 1/2)) 3) (pow.f64 (log.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(exp.f64 (neg.f64 (log.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 (log.f64 y) (+.f64 y 1/2)))) 1))
(exp.f64 (-.f64 (neg.f64 (log.f64 (+.f64 y 1/2))) (log.f64 (log.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(+.f64 (.f64 (log.f64 y) y) (.f64 (log.f64 y) 1/2))
(+.f64 (.f64 (log.f64 y) 1/2) (.f64 (log.f64 y) y))
(+.f64 (.f64 y (log.f64 y)) (.f64 1/2 (log.f64 y)))
(+.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))
(+.f64 (neg.f64 (.f64 (log.f64 y) y)) (neg.f64 (.f64 (log.f64 y) 1/2)))
(+.f64 (neg.f64 (.f64 (log.f64 y) 1/2)) (neg.f64 (.f64 (log.f64 y) y)))
(+.f64 (neg.f64 (.f64 y (log.f64 y))) (neg.f64 (.f64 1/2 (log.f64 y))))
(+.f64 (neg.f64 (.f64 1/2 (log.f64 y))) (neg.f64 (.f64 y (log.f64 y))))
(+.f64 (.f64 y (neg.f64 (log.f64 y))) (.f64 1/2 (neg.f64 (log.f64 y))))
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(+.f64 (.f64 (.f64 y (log.f64 y)) 1) (.f64 (.f64 1/2 (log.f64 y)) 1))
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(+.f64 (.f64 1/2 (neg.f64 (log.f64 y))) (.f64 y (neg.f64 (log.f64 y))))
(-.f64 0 (*.f64 (log.f64 y) (+.f64 y 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)))) 1)
(/.f64 (log.f64 y) (/.f64 1 (+.f64 y 1/2)))
(/.f64 1 (/.f64 1 (*.f64 (log.f64 y) (+.f64 y 1/2))))
(/.f64 -1 (/.f64 1 (*.f64 (log.f64 y) (+.f64 y 1/2))))
(/.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 1)
(/.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) -1)
(/.f64 (neg.f64 (log.f64 y)) (/.f64 1 (+.f64 y 1/2)))
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(/.f64 (.f64 (log.f64 y) (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (.f64 y (+.f64 y -1/2))))
(/.f64 (.f64 (log.f64 y) (+.f64 (pow.f64 y 3) 1/8)) (fma.f64 y y (-.f64 1/4 (.f64 y 1/2))))
(/.f64 (*.f64 (log.f64 y) (-.f64 1/4 (pow.f64 y 2))) (-.f64 1/2 y))
(/.f64 (*.f64 (log.f64 y) (fma.f64 y y -1/4)) (+.f64 y -1/2))
(/.f64 (neg.f64 (neg.f64 (log.f64 y))) (/.f64 -1 (+.f64 y 1/2)))
(/.f64 (neg.f64 (neg.f64 (log.f64 y))) (neg.f64 (/.f64 -1 (+.f64 y 1/2))))
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(/.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) 1/2) 3) (pow.f64 (.f64 (log.f64 y) y) 3)) (+.f64 (.f64 (.f64 (log.f64 y) 1/2) (.f64 (log.f64 y) 1/2)) (-.f64 (.f64 (.f64 (log.f64 y) y) (.f64 (log.f64 y) y)) (.f64 (.f64 (log.f64 y) 1/2) (*.f64 (log.f64 y) y)))))
(/.f64 (+.f64 (pow.f64 (.f64 y (log.f64 y)) 3) (pow.f64 (.f64 1/2 (log.f64 y)) 3)) (+.f64 (.f64 (.f64 y (log.f64 y)) (.f64 y (log.f64 y))) (-.f64 (.f64 (.f64 1/2 (log.f64 y)) (.f64 1/2 (log.f64 y))) (.f64 (.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y))))))
(/.f64 (+.f64 (pow.f64 (.f64 1/2 (log.f64 y)) 3) (pow.f64 (.f64 y (log.f64 y)) 3)) (+.f64 (.f64 (.f64 1/2 (log.f64 y)) (.f64 1/2 (log.f64 y))) (-.f64 (.f64 (.f64 y (log.f64 y)) (.f64 y (log.f64 y))) (.f64 (.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y))))))
(/.f64 (-.f64 (.f64 (.f64 (log.f64 y) y) (.f64 (log.f64 y) y)) (.f64 (.f64 (log.f64 y) 1/2) (.f64 (log.f64 y) 1/2))) (-.f64 (.f64 (log.f64 y) y) (.f64 (log.f64 y) 1/2)))
(/.f64 (-.f64 (.f64 (.f64 (log.f64 y) 1/2) (.f64 (log.f64 y) 1/2)) (.f64 (.f64 (log.f64 y) y) (.f64 (log.f64 y) y))) (-.f64 (.f64 (log.f64 y) 1/2) (.f64 (log.f64 y) y)))
(/.f64 (-.f64 (.f64 (.f64 y (log.f64 y)) (.f64 y (log.f64 y))) (.f64 (.f64 1/2 (log.f64 y)) (.f64 1/2 (log.f64 y)))) (-.f64 (.f64 y (log.f64 y)) (.f64 1/2 (log.f64 y))))
(/.f64 (-.f64 (.f64 (.f64 1/2 (log.f64 y)) (.f64 1/2 (log.f64 y))) (.f64 (.f64 y (log.f64 y)) (.f64 y (log.f64 y)))) (-.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y))))
(pow.f64 (/.f64 1 (*.f64 (log.f64 y) (+.f64 y 1/2))) -1)
(pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))) 2)
(neg.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)))
(neg.f64 (/.f64 (log.f64 y) (/.f64 -1 (+.f64 y 1/2))))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 2))
(log.f64 (pow.f64 y (+.f64 y 1/2)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 y (+.f64 y 1/2)) 1)))
(log.f64 (/.f64 1 (pow.f64 y (+.f64 y 1/2))))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))))
(exp.f64 (log.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 y) (+.f64 y 1/2))) 1))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 (log.f64 y) (+.f64 y 1/2)))) -1))
(log1p.f64 (-.f64 (pow.f64 y (+.f64 y 1/2)) 1))
(fma.f64 y (log.f64 y) (*.f64 1/2 (log.f64 y)))
(fma.f64 (log.f64 y) y (*.f64 (log.f64 y) 1/2))
(fma.f64 (log.f64 y) 1/2 (*.f64 (log.f64 y) y))
(fma.f64 1/2 (log.f64 y) (*.f64 y (log.f64 y)))
(-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))))) 1)
(-.f64 (/.f64 (pow.f64 y 3) (fma.f64 y y (.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))))) (/.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 3) (fma.f64 y y (.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))))))
(-.f64 (/.f64 (pow.f64 y 2) (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))) (/.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2) (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(-.f64 (/.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2) (-.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) y)) (/.f64 (pow.f64 y 2) (-.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) y)))
(-.f64 (-.f64 y (.f64 (log.f64 y) y)) (.f64 (log.f64 y) 1/2))
(-.f64 (-.f64 y (.f64 (log.f64 y) 1/2)) (.f64 (log.f64 y) y))
(-.f64 (-.f64 y (.f64 y (log.f64 y))) (.f64 1/2 (log.f64 y)))
(-.f64 (-.f64 y (.f64 1/2 (log.f64 y))) (.f64 y (log.f64 y)))
(.f64 1 (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))) 2) (cbrt.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(.f64 (pow.f64 (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 2) (/.f64 1 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(.f64 (sqrt.f64 (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))) (sqrt.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2) (.f64 y (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))))))
(.f64 (-.f64 (pow.f64 y 3) (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 3)) (/.f64 1 (fma.f64 y y (.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))))))
(.f64 (-.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2) (pow.f64 y 2)) (/.f64 1 (-.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) y)))
(.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2)))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(/.f64 1 (/.f64 (fma.f64 y y (.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))))) (-.f64 (pow.f64 y 3) (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 3))))
(/.f64 1 (/.f64 (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) (pow.f64 (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2) (.f64 y (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))))) (+.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 3) (pow.f64 y 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) y) (-.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2) (pow.f64 y 2))))
(/.f64 (pow.f64 (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 2) (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))))
(/.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2) (.f64 y (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))))))
(/.f64 (-.f64 (pow.f64 y 3) (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 3)) (fma.f64 y y (.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))))))
(/.f64 (-.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2) (pow.f64 y 2)) (-.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) y))
(/.f64 (neg.f64 (-.f64 (pow.f64 y 3) (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 3))) (neg.f64 (fma.f64 y y (.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))))))
(/.f64 (neg.f64 (pow.f64 (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 2)) (neg.f64 (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2) (.f64 y (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2) (pow.f64 y 2))) (neg.f64 (-.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) y)))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 3)) (+.f64 (pow.f64 y 2) (-.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2) (.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))))))
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(pow.f64 (cbrt.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))) 3)
(pow.f64 (pow.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))) 2)
(sqrt.f64 (pow.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) 2))
(log.f64 (*.f64 (pow.f64 y (+.f64 y 1/2)) (exp.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))))))
(cbrt.f64 (pow.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) 3))
(expm1.f64 (log1p.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(exp.f64 (log.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(exp.f64 (.f64 (log.f64 (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))) 1))
(log1p.f64 (expm1.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(fma.f64 1 y (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y)
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2))) 2) (cbrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2))) y)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (sqrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2))) (sqrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2))) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (log.f64 y) (+.f64 y 1/2)))

Outputs
(*.f64 1/2 (log.f64 y))
(+.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(+.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(+.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))
(*.f64 (neg.f64 y) (neg.f64 (log.f64 y)))
(*.f64 y (log.f64 y))
(+.f64 (.f64 -1 (.f64 y (log.f64 (/.f64 1 y)))) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 y (log.f64 (/.f64 1 y)))) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 y (log.f64 (/.f64 1 y)))) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(.f64 y (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y)))))
(*.f64 y (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 y)))))
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(+.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y))))) (.f64 y (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y))))))
(*.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 y)))) (+.f64 1/2 y))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (+.f64 1/2 y))
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(/.f64 (-.f64 (pow.f64 y 3) (pow.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) 3)) (fma.f64 y y (.f64 (log.f64 y) (*.f64 (+.f64 1/2 y) (fma.f64 (log.f64 y) (+.f64 1/2 y) y)))))
(/.f64 1 (/.f64 (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) (pow.f64 (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 2)))
(*.f64 (pow.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) y) 2) (/.f64 1 (fma.f64 (log.f64 y) (+.f64 1/2 y) y)))
(/.f64 (pow.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) y) 2) (fma.f64 (log.f64 y) (+.f64 1/2 y) y))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2) (.f64 y (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))))) (+.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 3) (pow.f64 y 3))))
(.f64 (+.f64 (pow.f64 y 3) (pow.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) 2) (.f64 y (fma.f64 (log.f64 y) (+.f64 1/2 y) y)))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) 3)) (fma.f64 y y (.f64 (log.f64 y) (*.f64 (+.f64 1/2 y) (fma.f64 (log.f64 y) (+.f64 1/2 y) y)))))
(/.f64 1 (/.f64 (-.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) y) (-.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2) (pow.f64 y 2))))
(.f64 (-.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) 2) (pow.f64 y 2)) (/.f64 1 (-.f64 (*.f64 (log.f64 y) (+.f64 1/2 y)) y)))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 1/2 y)) 2) (pow.f64 y 2)) (fma.f64 (log.f64 y) (+.f64 1/2 y) (neg.f64 y)))
(/.f64 (pow.f64 (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 2) (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))))
(*.f64 (pow.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) y) 2) (/.f64 1 (fma.f64 (log.f64 y) (+.f64 1/2 y) y)))
(/.f64 (pow.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) y) 2) (fma.f64 (log.f64 y) (+.f64 1/2 y) y))
(/.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2) (.f64 y (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))))))
(.f64 (+.f64 (pow.f64 y 3) (pow.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) 2) (.f64 y (fma.f64 (log.f64 y) (+.f64 1/2 y) y)))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) 3)) (fma.f64 y y (.f64 (log.f64 y) (*.f64 (+.f64 1/2 y) (fma.f64 (log.f64 y) (+.f64 1/2 y) y)))))
(/.f64 (-.f64 (pow.f64 y 3) (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 3)) (fma.f64 y y (.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))))))
(.f64 (-.f64 (pow.f64 y 3) (pow.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) 3)) (/.f64 1 (fma.f64 y y (.f64 (log.f64 y) (.f64 (+.f64 1/2 y) (fma.f64 (log.f64 y) (+.f64 1/2 y) y))))))
(/.f64 (-.f64 (pow.f64 y 3) (pow.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) 3)) (fma.f64 y y (.f64 (log.f64 y) (*.f64 (+.f64 1/2 y) (fma.f64 (log.f64 y) (+.f64 1/2 y) y)))))
(/.f64 (-.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2) (pow.f64 y 2)) (-.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) y))
(.f64 (-.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) 2) (pow.f64 y 2)) (/.f64 1 (-.f64 (*.f64 (log.f64 y) (+.f64 1/2 y)) y)))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 1/2 y)) 2) (pow.f64 y 2)) (fma.f64 (log.f64 y) (+.f64 1/2 y) (neg.f64 y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y 3) (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 3))) (neg.f64 (fma.f64 y y (.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y 3) (pow.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) 3))) (neg.f64 (fma.f64 y y (.f64 (log.f64 y) (*.f64 (+.f64 1/2 y) (fma.f64 (log.f64 y) (+.f64 1/2 y) y))))))
(.f64 1 (/.f64 (-.f64 (pow.f64 y 3) (pow.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) 3)) (fma.f64 y y (.f64 (log.f64 y) (.f64 (+.f64 1/2 y) (fma.f64 (log.f64 y) (+.f64 1/2 y) y))))))
(/.f64 (neg.f64 (pow.f64 (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))) 2)) (neg.f64 (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))))
(neg.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) y) 2) (neg.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) y))))
(*.f64 1 (/.f64 (pow.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) y) 2) (fma.f64 (log.f64 y) (+.f64 1/2 y) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2) (.f64 y (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) 2) (*.f64 y (fma.f64 (log.f64 y) (+.f64 1/2 y) y)))))
(.f64 1 (/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) 3)) (fma.f64 y y (.f64 (log.f64 y) (.f64 (+.f64 1/2 y) (fma.f64 (log.f64 y) (+.f64 1/2 y) y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2) (pow.f64 y 2))) (neg.f64 (-.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) 2) (pow.f64 y 2))) (neg.f64 (-.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) y)))
(.f64 1 (/.f64 (-.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) 2) (pow.f64 y 2)) (fma.f64 (log.f64 y) (+.f64 1/2 y) (neg.f64 y))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 3)) (+.f64 (pow.f64 y 2) (-.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) 2) (.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) 3)) (+.f64 (pow.f64 y 2) (-.f64 (pow.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) 2) (.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) 3)) (+.f64 (pow.f64 y 2) (.f64 (*.f64 (log.f64 y) (+.f64 1/2 y)) (fma.f64 (log.f64 y) (+.f64 1/2 y) (neg.f64 y)))))
(pow.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) 1)
(fma.f64 (log.f64 y) (+.f64 1/2 y) y)
(pow.f64 (cbrt.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))) 3)
(fma.f64 (log.f64 y) (+.f64 1/2 y) y)
(pow.f64 (pow.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) 3) 1/3)
(fma.f64 (log.f64 y) (+.f64 1/2 y) y)
(pow.f64 (sqrt.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))) 2)
(fma.f64 (log.f64 y) (+.f64 1/2 y) y)
(sqrt.f64 (pow.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) 2))
(sqrt.f64 (pow.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) y) 2))
(fabs.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) y))
(log.f64 (*.f64 (pow.f64 y (+.f64 y 1/2)) (exp.f64 y)))
(fma.f64 (log.f64 y) (+.f64 1/2 y) y)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))))))
(fma.f64 (log.f64 y) (+.f64 1/2 y) y)
(cbrt.f64 (pow.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) 3))
(fma.f64 (log.f64 y) (+.f64 1/2 y) y)
(expm1.f64 (log1p.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(fma.f64 (log.f64 y) (+.f64 1/2 y) y)
(exp.f64 (log.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(fma.f64 (log.f64 y) (+.f64 1/2 y) y)
(exp.f64 (.f64 (log.f64 (+.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))) 1))
(fma.f64 (log.f64 y) (+.f64 1/2 y) y)
(log1p.f64 (expm1.f64 (+.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(fma.f64 (log.f64 y) (+.f64 1/2 y) y)
(fma.f64 1 y (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (+.f64 1/2 y) y)
(fma.f64 1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y)
(fma.f64 (log.f64 y) (+.f64 1/2 y) y)
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y)
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) y)
(+.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) y)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2))) 2) (cbrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2))) y)
(fma.f64 (log.f64 y) (+.f64 1/2 y) y)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (+.f64 1/2 y) y)
(fma.f64 (sqrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2))) (sqrt.f64 (.f64 (log.f64 y) (+.f64 y 1/2))) y)
(fma.f64 (log.f64 y) (+.f64 1/2 y) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (+.f64 1/2 y) y)

eval283.0ms (2.2%)

Compiler: Compiled 17660 to 10279 computations (41.8% saved)

prune173.0ms (1.3%)

Pruning

22 alts after pruning (15 fresh and 7 done)

	Pruned	Kept	Total
New	814	4	818
Fresh	2	11	13
Picked	2	3	5
Done	0	4	4
Total	818	22	840

Accuracy

100.0%

Counts

840 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.7%	(-.f64 (-.f64 (+.f64 y x) (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 3)) z)
	88.1%	(-.f64 (-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 1 y))) z)
✓	88.1%	(-.f64 (-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) z)
	62.1%	(-.f64 (-.f64 y (/.f64 (log.f64 y) (/.f64 1 y))) z)
	44.7%	(-.f64 (-.f64 y (/.f64 (log.f64 y) (+.f64 2 (*.f64 y -4)))) z)
	44.6%	(-.f64 (-.f64 y (/.f64 (log.f64 y) 2)) z)
✓	73.7%	(-.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) z)
	62.1%	(-.f64 (-.f64 y (*.f64 y (log.f64 y))) z)
	70.8%	(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
	62.0%	(-.f64 (+.f64 (/.f64 1 (/.f64 (/.f64 1 y) (neg.f64 (log.f64 y)))) y) z)
	44.6%	(-.f64 (+.f64 (/.f64 1 (/.f64 -2 (log.f64 y))) y) z)
	73.6%	(-.f64 (+.f64 (/.f64 1 (*.f64 (/.f64 1 (+.f64 1/2 y)) (/.f64 -1 (log.f64 y)))) y) z)
	79.1%	(-.f64 (+.f64 (-.f64 x (/.f64 (fma.f64 y y -1/4) (*.f64 (+.f64 y -1/2) (/.f64 1 (log.f64 y))))) y) z)
	58.1%	(-.f64 (+.f64 y x) z)
	45.7%	(-.f64 (*.f64 (log.f64 y) -1/2) z)
✓	62.1%	(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z)
	61.6%	(-.f64 (.f64 y (.f64 (pow.f64 (cbrt.f64 (-.f64 1 (log.f64 y))) 2) (cbrt.f64 (-.f64 1 (log.f64 y))))) z)
	33.3%	(-.f64 y z)
✓	58.8%	(-.f64 x z)
✓	56.8%	(+.f64 x (*.f64 y (-.f64 1 (log.f64 y))))
✓	33.7%	(neg.f64 z)
✓	27.4%	x

Compiler

Compiled 848 to 510 computations (39.9% saved)

regimes117.0ms (0.9%)

Counts

46 → 1

Calls

Call 1

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

Outputs
(+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))

Calls

5 calls:

27.0ms	z
23.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
22.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
22.0ms	x
21.0ms	y

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)`
99.9%	1	`(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)`

Compiler

Compiled 40 to 28 computations (30% saved)

regimes79.0ms (0.6%)

Counts

28 → 1

Calls

Call 1

Inputs
x
(neg.f64 z)
(-.f64 x z)
(-.f64 y z)
(-.f64 (+.f64 y x) z)
(-.f64 (+.f64 (/.f64 1 (/.f64 1 x)) y) z)
(-.f64 (*.f64 (log.f64 y) -1/2) z)
(+.f64 x (*.f64 y (-.f64 1 (log.f64 y))))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z)
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(-.f64 (-.f64 y (*.f64 y (log.f64 y))) z)
(-.f64 (-.f64 y (/.f64 (log.f64 y) 2)) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) (neg.f64 y)) y) z)
(+.f64 x (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z))
(-.f64 (+.f64 (/.f64 1 (/.f64 -2 (log.f64 y))) y) z)
(-.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) z)
(-.f64 (-.f64 y (/.f64 (log.f64 y) (/.f64 1 y))) z)
(-.f64 (-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) z)
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(-.f64 (-.f64 y (/.f64 (log.f64 y) (+.f64 2 (*.f64 y -4)))) z)
(-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2))) z)
(-.f64 (-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 1 y))) z)
(-.f64 (+.f64 (/.f64 1 (/.f64 1 (*.f64 (log.f64 y) (neg.f64 y)))) y) z)
(-.f64 (+.f64 (/.f64 1 (/.f64 (/.f64 1 y) (neg.f64 (log.f64 y)))) y) z)
(-.f64 (+.f64 (/.f64 1 (/.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)))) y) z)
(-.f64 (-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 1 (+.f64 y 1/2)))) z)
(-.f64 (+.f64 (/.f64 1 (*.f64 (/.f64 1 (+.f64 1/2 y)) (/.f64 -1 (log.f64 y)))) y) z)
(-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)

Outputs
(-.f64 (-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 1 (+.f64 y 1/2)))) z)

Calls

5 calls:

16.0ms	z
16.0ms	x
16.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
15.0ms	y
14.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)`
99.8%	1	`(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)`

Compiler

Compiled 40 to 28 computations (30% saved)

regimes74.0ms (0.6%)

Counts

25 → 1

Calls

Call 1

Inputs
x
(neg.f64 z)
(-.f64 x z)
(-.f64 y z)
(-.f64 (+.f64 y x) z)
(-.f64 (+.f64 (/.f64 1 (/.f64 1 x)) y) z)
(-.f64 (*.f64 (log.f64 y) -1/2) z)
(+.f64 x (*.f64 y (-.f64 1 (log.f64 y))))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z)
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(-.f64 (-.f64 y (*.f64 y (log.f64 y))) z)
(-.f64 (-.f64 y (/.f64 (log.f64 y) 2)) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) (neg.f64 y)) y) z)
(+.f64 x (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z))
(-.f64 (+.f64 (/.f64 1 (/.f64 -2 (log.f64 y))) y) z)
(-.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) z)
(-.f64 (-.f64 y (/.f64 (log.f64 y) (/.f64 1 y))) z)
(-.f64 (-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) z)
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(-.f64 (-.f64 y (/.f64 (log.f64 y) (+.f64 2 (*.f64 y -4)))) z)
(-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2))) z)
(-.f64 (-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 1 y))) z)
(-.f64 (+.f64 (/.f64 1 (/.f64 1 (*.f64 (log.f64 y) (neg.f64 y)))) y) z)
(-.f64 (+.f64 (/.f64 1 (/.f64 (/.f64 1 y) (neg.f64 (log.f64 y)))) y) z)
(-.f64 (+.f64 (/.f64 1 (/.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)))) y) z)

Outputs
(-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2))) z)

Calls

5 calls:

15.0ms	y
15.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
15.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
13.0ms	z
13.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)`
99.8%	1	`(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)`
99.8%	1	`y`
99.8%	1	`z`

Compiler

Compiled 40 to 28 computations (30% saved)

regimes61.0ms (0.5%)

Counts

20 → 1

Calls

Call 1

Inputs
x
(neg.f64 z)
(-.f64 x z)
(-.f64 y z)
(-.f64 (+.f64 y x) z)
(-.f64 (+.f64 (/.f64 1 (/.f64 1 x)) y) z)
(-.f64 (*.f64 (log.f64 y) -1/2) z)
(+.f64 x (*.f64 y (-.f64 1 (log.f64 y))))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z)
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(-.f64 (-.f64 y (*.f64 y (log.f64 y))) z)
(-.f64 (-.f64 y (/.f64 (log.f64 y) 2)) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) (neg.f64 y)) y) z)
(+.f64 x (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z))
(-.f64 (+.f64 (/.f64 1 (/.f64 -2 (log.f64 y))) y) z)
(-.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) z)
(-.f64 (-.f64 y (/.f64 (log.f64 y) (/.f64 1 y))) z)
(-.f64 (-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) z)
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(-.f64 (-.f64 y (/.f64 (log.f64 y) (+.f64 2 (*.f64 y -4)))) z)

Outputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)

Calls

5 calls:

13.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
12.0ms	x
12.0ms	y
11.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
11.0ms	z

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)`
99.8%	1	`(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)`

Compiler

Compiled 40 to 28 computations (30% saved)

regimes82.0ms (0.6%)

Counts

18 → 2

Calls

Call 1

Inputs
x
(neg.f64 z)
(-.f64 x z)
(-.f64 y z)
(-.f64 (+.f64 y x) z)
(-.f64 (+.f64 (/.f64 1 (/.f64 1 x)) y) z)
(-.f64 (*.f64 (log.f64 y) -1/2) z)
(+.f64 x (*.f64 y (-.f64 1 (log.f64 y))))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z)
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(-.f64 (-.f64 y (*.f64 y (log.f64 y))) z)
(-.f64 (-.f64 y (/.f64 (log.f64 y) 2)) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) (neg.f64 y)) y) z)
(+.f64 x (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z))
(-.f64 (+.f64 (/.f64 1 (/.f64 -2 (log.f64 y))) y) z)
(-.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) z)
(-.f64 (-.f64 y (/.f64 (log.f64 y) (/.f64 1 y))) z)
(-.f64 (-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) z)

Outputs
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(+.f64 x (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z))

Calls

3 calls:

30.0ms	x
28.0ms	z
22.0ms	y

Results

Accuracy	Segments	Branch
99.8%	3	`x`
99.6%	2	`y`
90.4%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes47.0ms (0.4%)

Counts

13 → 3

Calls

Call 1

Inputs
x
(neg.f64 z)
(-.f64 x z)
(-.f64 y z)
(-.f64 (+.f64 y x) z)
(-.f64 (+.f64 (/.f64 1 (/.f64 1 x)) y) z)
(-.f64 (*.f64 (log.f64 y) -1/2) z)
(+.f64 x (*.f64 y (-.f64 1 (log.f64 y))))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z)
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(-.f64 (-.f64 y (*.f64 y (log.f64 y))) z)
(-.f64 (-.f64 y (/.f64 (log.f64 y) 2)) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) (neg.f64 y)) y) z)

Outputs
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z)
(+.f64 x (*.f64 y (-.f64 1 (log.f64 y))))

Calls

2 calls:

23.0ms	x
23.0ms	y

Results

Accuracy	Segments	Branch
81.6%	3	`x`
93.7%	3	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes49.0ms (0.4%)

Counts

9 → 3

Calls

Call 1

Inputs
x
(neg.f64 z)
(-.f64 x z)
(-.f64 y z)
(-.f64 (+.f64 y x) z)
(-.f64 (+.f64 (/.f64 1 (/.f64 1 x)) y) z)
(-.f64 (*.f64 (log.f64 y) -1/2) z)
(+.f64 x (*.f64 y (-.f64 1 (log.f64 y))))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z)

Outputs
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z)
(+.f64 x (*.f64 y (-.f64 1 (log.f64 y))))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z)

Calls

2 calls:

30.0ms	y
18.0ms	z

Results

Accuracy	Segments	Branch
83.1%	3	`z`
84.5%	5	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes61.0ms (0.5%)

Counts

8 → 4

Calls

Call 1

Inputs
x
(neg.f64 z)
(-.f64 x z)
(-.f64 y z)
(-.f64 (+.f64 y x) z)
(-.f64 (+.f64 (/.f64 1 (/.f64 1 x)) y) z)
(-.f64 (*.f64 (log.f64 y) -1/2) z)
(+.f64 x (*.f64 y (-.f64 1 (log.f64 y))))

Outputs
(-.f64 (+.f64 y x) z)
(-.f64 (*.f64 (log.f64 y) -1/2) z)
(-.f64 (+.f64 y x) z)
(+.f64 x (*.f64 y (-.f64 1 (log.f64 y))))

Calls

3 calls:

27.0ms	y
17.0ms	z
17.0ms	x

Results

Accuracy	Segments	Branch
82.5%	4	`y`
73.0%	3	`x`
80.1%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes47.0ms (0.4%)

Counts

7 → 3

Calls

Call 1

Inputs
x
(neg.f64 z)
(-.f64 x z)
(-.f64 y z)
(-.f64 (+.f64 y x) z)
(-.f64 (+.f64 (/.f64 1 (/.f64 1 x)) y) z)
(-.f64 (*.f64 (log.f64 y) -1/2) z)

Outputs
(-.f64 x z)
(-.f64 (*.f64 (log.f64 y) -1/2) z)
(-.f64 x z)

Calls

3 calls:

16.0ms	y
15.0ms	x
15.0ms	z

Results

Accuracy	Segments	Branch
70.8%	3	`x`
61.2%	3	`z`
61.1%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0%)

Counts

6 → 1

Calls

Call 1

Inputs
x
(neg.f64 z)
(-.f64 x z)
(-.f64 y z)
(-.f64 (+.f64 y x) z)
(-.f64 (+.f64 (/.f64 1 (/.f64 1 x)) y) z)

Outputs
(-.f64 x z)

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
58.8%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes36.0ms (0.3%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(neg.f64 z)

Outputs
(neg.f64 z)
x
(neg.f64 z)

Calls

3 calls:

18.0ms	y
9.0ms	z
9.0ms	x

Results

Accuracy	Segments	Branch
40.9%	6	`y`
53.6%	3	`z`
51.7%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

3.0ms	x
3.0ms	z
3.0ms	y

Results

Accuracy	Segments	Branch
27.4%	1	`y`
27.4%	1	`x`
27.4%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch18.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.4436915737290513e-12	3.993965759015206e-10

Results

17.0ms

128×

256

valid

Compiler

Compiled 229 to 167 computations (27.1% saved)

bsearch27.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.724388042003346e+174	6.028869329545178e+175
13.0ms	1.6385717173893877e+44	2.08242802256528e+45

Results

24.0ms

192×

256

valid

Compiler

Compiled 309 to 231 computations (25.2% saved)

bsearch36.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	9.835626680427152e+88	5.492886173384175e+91
18.0ms	-1.6436037223829265e+41	-6.197591256646146e+36

Results

33.0ms

256×

256

valid

Compiler

Compiled 405 to 303 computations (25.2% saved)

bsearch51.0ms (0.4%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
18.0ms	5.676675090758327e+68	2.0561170273417565e+71
17.0ms	1.2061278186945475e-40	4.4372557516593783e-38
16.0ms	2.1303409159035438e-70	1.4654894323300778e-68

Results

47.0ms

368×

256

valid

Compiler

Compiled 474 to 345 computations (27.2% saved)

bsearch45.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	20669516954171068.0	4.555417428908633e+28
22.0ms	-13079509.272695592	-1.8928429056550382e-7

Results

41.0ms

320×

256

valid

Compiler

Compiled 361 to 275 computations (23.8% saved)

bsearch35.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	9.835626680427152e+88	5.492886173384175e+91
17.0ms	-1.6436037223829265e+41	-6.197591256646146e+36

Results

33.0ms

256×

256

valid

Compiler

Compiled 197 to 159 computations (19.3% saved)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

58×	`+-commutative`
46×	`sub-neg`
24×	`*-commutative`
16×	`neg-mul-1`
16×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	764
1	143	764
2	185	764
3	202	764
4	209	764

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))
(-.f64 (-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 1 (+.f64 y 1/2)))) z)
(-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2))) z)
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(if (<=.f64 y 955051397495557/2417851639229258349412352) (-.f64 (-.f64 x (.f64 1/2 (log.f64 y))) z) (+.f64 x (-.f64 (.f64 y (-.f64 1 (log.f64 y))) z)))
(if (<=.f64 y 550000000000000008903406472053155727088287744) (-.f64 (-.f64 x (.f64 1/2 (log.f64 y))) z) (if (<=.f64 y 28000000000000001052117790534930278737351828471449906964138200838363284575490522352103702914373373320257165517357505811554482891103841484728085824156435879127799685538310520832) (-.f64 (.f64 y (-.f64 1 (log.f64 y))) z) (+.f64 x (*.f64 y (-.f64 1 (log.f64 y))))))
(if (<=.f64 z -1300000000000000027402925499364184948736) (-.f64 (.f64 y (-.f64 1 (log.f64 y))) z) (if (<=.f64 z 11499999999999999558028190154926552026324120041358050777786773169035760527638462711531044864) (+.f64 x (.f64 y (-.f64 1 (log.f64 y)))) (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z)))
(if (<=.f64 y 1760543683579567/121416805764108066932466369176469931665150427440758720078238275608681517825325531136) (-.f64 (+.f64 y x) z) (if (<=.f64 y 3432790011539591/12259964326927110866866776217202473468949912977468817408) (-.f64 (.f64 (log.f64 y) -1/2) z) (if (<=.f64 y 4800000000000000348150894631340328605560197166303305386487408746299392) (-.f64 (+.f64 y x) z) (+.f64 x (.f64 y (-.f64 1 (log.f64 y)))))))
(if (<=.f64 x -230) (-.f64 x z) (if (<=.f64 x 21000000000000000) (-.f64 (*.f64 (log.f64 y) -1/2) z) (-.f64 x z)))
(-.f64 x z)
(if (<=.f64 z -22000000000000000638106117049042337792) (neg.f64 z) (if (<=.f64 z 108000000000000006218088629956145152500920582139543850449235194312837772408340285711450112) x (neg.f64 z)))
x

Outputs
(+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))
(-.f64 (-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 1 (+.f64 y 1/2)))) z)
(-.f64 (-.f64 (+.f64 x y) (/.f64 (log.f64 y) (/.f64 1 (+.f64 y 1/2)))) z)
(-.f64 (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2))) z)
(-.f64 (-.f64 (+.f64 x y) (*.f64 (log.f64 y) (+.f64 y 1/2))) z)
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(-.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))) z)
(if (<=.f64 y 955051397495557/2417851639229258349412352) (-.f64 (-.f64 x (.f64 1/2 (log.f64 y))) z) (+.f64 x (-.f64 (.f64 y (-.f64 1 (log.f64 y))) z)))
(if (<=.f64 y 955051397495557/2417851639229258349412352) (-.f64 (-.f64 x (.f64 (log.f64 y) 1/2)) z) (+.f64 x (-.f64 (.f64 y (-.f64 1 (log.f64 y))) z)))
(if (<=.f64 y 550000000000000008903406472053155727088287744) (-.f64 (-.f64 x (.f64 1/2 (log.f64 y))) z) (if (<=.f64 y 28000000000000001052117790534930278737351828471449906964138200838363284575490522352103702914373373320257165517357505811554482891103841484728085824156435879127799685538310520832) (-.f64 (.f64 y (-.f64 1 (log.f64 y))) z) (+.f64 x (*.f64 y (-.f64 1 (log.f64 y))))))
(if (<=.f64 y 550000000000000008903406472053155727088287744) (-.f64 (-.f64 x (.f64 (log.f64 y) 1/2)) z) (if (<=.f64 y 28000000000000001052117790534930278737351828471449906964138200838363284575490522352103702914373373320257165517357505811554482891103841484728085824156435879127799685538310520832) (-.f64 (.f64 y (-.f64 1 (log.f64 y))) z) (+.f64 x (*.f64 y (-.f64 1 (log.f64 y))))))
(if (<=.f64 z -1300000000000000027402925499364184948736) (-.f64 (.f64 y (-.f64 1 (log.f64 y))) z) (if (<=.f64 z 11499999999999999558028190154926552026324120041358050777786773169035760527638462711531044864) (+.f64 x (.f64 y (-.f64 1 (log.f64 y)))) (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z)))
(if (or (<=.f64 z -1300000000000000027402925499364184948736) (not (<=.f64 z 11499999999999999558028190154926552026324120041358050777786773169035760527638462711531044864))) (-.f64 (.f64 y (-.f64 1 (log.f64 y))) z) (+.f64 x (.f64 y (-.f64 1 (log.f64 y)))))
(if (<=.f64 y 1760543683579567/121416805764108066932466369176469931665150427440758720078238275608681517825325531136) (-.f64 (+.f64 y x) z) (if (<=.f64 y 3432790011539591/12259964326927110866866776217202473468949912977468817408) (-.f64 (.f64 (log.f64 y) -1/2) z) (if (<=.f64 y 4800000000000000348150894631340328605560197166303305386487408746299392) (-.f64 (+.f64 y x) z) (+.f64 x (.f64 y (-.f64 1 (log.f64 y)))))))
(if (<=.f64 y 1760543683579567/121416805764108066932466369176469931665150427440758720078238275608681517825325531136) (-.f64 (+.f64 x y) z) (if (<=.f64 y 3432790011539591/12259964326927110866866776217202473468949912977468817408) (-.f64 (.f64 (log.f64 y) -1/2) z) (if (<=.f64 y 4800000000000000348150894631340328605560197166303305386487408746299392) (-.f64 (+.f64 x y) z) (+.f64 x (.f64 y (-.f64 1 (log.f64 y)))))))
(if (<=.f64 x -230) (-.f64 x z) (if (<=.f64 x 21000000000000000) (-.f64 (*.f64 (log.f64 y) -1/2) z) (-.f64 x z)))
(if (or (<=.f64 x -230) (not (<=.f64 x 21000000000000000))) (-.f64 x z) (-.f64 (*.f64 (log.f64 y) -1/2) z))
(-.f64 x z)
(if (<=.f64 z -22000000000000000638106117049042337792) (neg.f64 z) (if (<=.f64 z 108000000000000006218088629956145152500920582139543850449235194312837772408340285711450112) x (neg.f64 z)))
(if (or (<=.f64 z -22000000000000000638106117049042337792) (not (<=.f64 z 108000000000000006218088629956145152500920582139543850449235194312837772408340285711450112))) (neg.f64 z) x)
x

Compiler

Compiled 234 to 153 computations (34.6% saved)

soundness3.0s (23.3%)

Rules

1602×	`fma-def`
1602×	`fma-def`
1550×	`fma-def`
1550×	`fma-def`
1264×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	594
1	132	570
2	508	518
3	2373	518
4	5956	518
5	7655	518
0	633	27867
1	1672	25438
2	6964	25438
0	23	253
1	349	249
2	5724	249
0	23	253
1	349	249
2	5724	249
0	633	27867
1	1672	25438
2	6964	25438
0	1130	44213
1	3217	40069
0	971	28536
1	2723	25898
0	38	604
1	683	494
0	971	28536
1	2723	25898
0	633	27867
1	1672	25438
2	6964	25438
0	1130	44213
1	3217	40069
0	30	309
1	473	251
2	7561	251

Stop Event

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

Compiler

Compiled 1013 to 571 computations (43.6% saved)

end0.0ms (0%)

preprocess162.0ms (1.2%)

Compiler: Compiled 462 to 258 computations (44.2% saved)

analyze1.0ms (0%)

sample1.7s (13%)

preprocess313.0ms (2.4%)

eval1.0ms (0%)

prune2.0ms (0%)

localize184.0ms (1.4%)

series165.0ms (1.3%)

rewrite388.0ms (3%)

simplify376.0ms (2.9%)

eval337.0ms (2.6%)

prune239.0ms (1.8%)

localize531.0ms (4.1%)

series156.0ms (1.2%)

rewrite168.0ms (1.3%)

simplify440.0ms (3.4%)

eval756.0ms (5.8%)

prune345.0ms (2.7%)

localize304.0ms (2.3%)

series31.0ms (0.2%)

rewrite283.0ms (2.2%)

simplify304.0ms (2.3%)

eval618.0ms (4.8%)

prune156.0ms (1.2%)

localize195.0ms (1.5%)

series13.0ms (0.1%)

rewrite160.0ms (1.2%)

simplify276.0ms (2.1%)

eval283.0ms (2.2%)

prune173.0ms (1.3%)

regimes117.0ms (0.9%)

regimes79.0ms (0.6%)

regimes74.0ms (0.6%)

regimes61.0ms (0.5%)

regimes82.0ms (0.6%)

regimes47.0ms (0.4%)

regimes49.0ms (0.4%)

regimes61.0ms (0.5%)

regimes47.0ms (0.4%)

regimes6.0ms (0%)

regimes36.0ms (0.3%)

regimes8.0ms (0.1%)

bsearch18.0ms (0.1%)

bsearch27.0ms (0.2%)

bsearch36.0ms (0.3%)

bsearch51.0ms (0.4%)

bsearch45.0ms (0.3%)

bsearch35.0ms (0.3%)

simplify18.0ms (0.1%)

soundness3.0s (23.3%)

end0.0ms (0%)

preprocess162.0ms (1.2%)

Profiling