Details

analyze421.0ms (13.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
25.6%	25%	72.5%	0.1%	2.3%	0%	0%	9
38.6%	37.4%	59.7%	0.1%	2.7%	0%	0%	10
46.4%	44.5%	51.3%	0.1%	4.1%	0%	0%	11
53.7%	50.3%	43.4%	0.1%	6.1%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.1s (36.4%)

Results

1.0s	8254×	body	256	valid
74.0ms	670×	body	256	infinite
1.0ms	2×	body	1024	valid

Bogosity

preprocess28.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

22×	`fma-def_binary64`
19×	`+-commutative_binary64`
12×	`associate-+r+_binary64`
12×	`associate-+l+_binary64`
3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	40	44
2	81	44
3	97	44
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

Outputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
(+.f64 (/.f64 x 2) (fma.f64 x y z))
(+.f64 (+.f64 (/.f64 y 2) (*.f64 x y)) z)
(+.f64 (/.f64 y 2) (+.f64 (*.f64 x y) z))
(+.f64 z (fma.f64 x y (/.f64 y 2)))
(+.f64 (+.f64 (/.f64 z 2) (*.f64 y z)) x)
(+.f64 x (+.f64 (/.f64 z 2) (*.f64 y z)))
(+.f64 x (fma.f64 y z (/.f64 z 2)))
(+.f64 (+.f64 (/.f64 x 2) (*.f64 z x)) y)
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x z) y))
(+.f64 (/.f64 x 2) (fma.f64 x z y))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify14.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

6×	`fma-def_binary64`
5×	`+-commutative_binary64`
3×	`associate-+r+_binary64`
3×	`associate-+l+_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	14	11
2	25	11
3	29	11

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

Outputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
(+.f64 (/.f64 x 2) (fma.f64 x y z))

eval1.0ms (0%)

Compiler: Compiled 20 to 12 computations (40% saved)

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
▶	0.0b	(+.f64 (/.f64 x 2) (fma.f64 x y z))

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize25.0ms (0.8%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
✓	0.0b	(+.f64 (/.f64 x 2) (*.f64 y x))

Compiler

Compiled 29 to 14 computations (51.7% saved)

series14.0ms (0.5%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(+.f64 (/.f64 x 2) (*.f64 y x))
1.0ms	y	@	0	(+.f64 (/.f64 x 2) (*.f64 y x))
1.0ms	x	@	0	(+.f64 (/.f64 x 2) (*.f64 y x))
1.0ms	x	@	-inf	(+.f64 (/.f64 x 2) (*.f64 y x))
1.0ms	z	@	0	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

rewrite111.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

589×	`fma-def_binary64`
500×	`log-prod_binary64`
374×	`pow-prod-down_binary64`
281×	`pow2_binary64`
276×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	209	16
2	3058	15

Stop Event

1×	node limit

Counts

2 → 168

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (+.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 x 1/2) 2) (.f64 x (-.f64 1/2 y))) (/.f64 (pow.f64 (.f64 x y) 2) (.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (+.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (+.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) (cbrt.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2)) (cbrt.f64 (.f64 x (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (+.f64 1/2 y))) (sqrt.f64 (.f64 x (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 x 1/2)) (pow.f64 (.f64 x 1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 x 1/2)) (pow.f64 (.f64 x 1/2) 2)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 x (-.f64 1/2 y)) (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (.f64 x y) 3)) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 x 1/2)) (pow.f64 (.f64 x 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (.f64 x y) 2) (-.f64 (pow.f64 (.f64 x 1/2) 2) (.f64 (.f64 x 1/2) (.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (.f64 x y) 2)) (.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (.f64 x y) 3))) (neg.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 x 1/2)) (pow.f64 (.f64 x 1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (.f64 x y) 2))) (neg.f64 (.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 x 1/2) 2)) (-.f64 (.f64 x y) (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (+.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (+.f64 1/2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 x 1/2)) (pow.f64 (.f64 x 1/2) 2)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (.f64 x y) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 x (-.f64 1/2 y)) (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (.f64 x y) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) (pow.f64 (exp.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (sqrt.f64 (exp.f64 x)) (+.f64 1 (expm1.f64 (.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) (+.f64 1 (expm1.f64 (.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x y))) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 y) x) (+.f64 1 (expm1.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x y))) (+.f64 1 (expm1.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (+.f64 1/2 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 1/2 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x (+.f64 1/2 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 1/2) 1 (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x y) 1 (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x 1/2) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x y) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) x) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) y) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/2) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (.f64 x 1/2) 2)) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (.f64 x 1/2) 2)) (cbrt.f64 (.f64 x 1/2)) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) -1/2 (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 1/2))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y 1/2) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (-.f64 (.f64 x (+.f64 1/2 y)) z)) (/.f64 (.f64 z z) (-.f64 (.f64 x (+.f64 1/2 y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (+.f64 y 1/2) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x (+.f64 y 1/2) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x (+.f64 y 1/2) z)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y 1/2) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y 1/2) z)) 2) (cbrt.f64 (fma.f64 x (+.f64 y 1/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x (+.f64 y 1/2) z)) (sqrt.f64 (fma.f64 x (+.f64 y 1/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (-.f64 z (.f64 x (+.f64 1/2 y))) (pow.f64 (.f64 x (+.f64 1/2 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (.f64 z z)) (/.f64 1 (-.f64 (.f64 x (+.f64 1/2 y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 z (-.f64 z (.f64 x (+.f64 1/2 y))) (pow.f64 (.f64 x (+.f64 1/2 y)) 2)) (+.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 3) (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (.f64 x (+.f64 1/2 y)) z) (-.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 3) (pow.f64 z 3)) (fma.f64 z (-.f64 z (.f64 x (+.f64 1/2 y))) (pow.f64 (.f64 x (+.f64 1/2 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 3) (pow.f64 z 3)) (fma.f64 z z (-.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (.f64 (.f64 x (+.f64 1/2 y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (.f64 z z)) (-.f64 (.f64 x (+.f64 1/2 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 3) (pow.f64 z 3))) (neg.f64 (fma.f64 z (-.f64 z (.f64 x (+.f64 1/2 y))) (pow.f64 (.f64 x (+.f64 1/2 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (.f64 z z))) (neg.f64 (-.f64 (.f64 x (+.f64 1/2 y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 x y z) 3)) (fma.f64 (.f64 x x) 1/4 (-.f64 (pow.f64 (fma.f64 x y z) 2) (.f64 (.f64 x 1/2) (fma.f64 x y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (fma.f64 x y z) 2)) (-.f64 (.f64 x 1/2) (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 x (+.f64 1/2 y)) 2)) (-.f64 z (.f64 x (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (+.f64 y 1/2) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y 1/2) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y 1/2) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 z (-.f64 z (.f64 x (+.f64 1/2 y))) (pow.f64 (.f64 x (+.f64 1/2 y)) 2)) (+.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 3) (pow.f64 z 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (.f64 x (+.f64 1/2 y)) z) (-.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (.f64 z z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (+.f64 y 1/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 y 1/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) (exp.f64 (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) (pow.f64 (exp.f64 1) (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 1/2 y)))) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)) (+.f64 1 (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 1/2 y)))) (+.f64 1 (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 z)) (pow.f64 (exp.f64 x) (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 z) (+.f64 1 (expm1.f64 (.f64 x (+.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 z)) (+.f64 1 (expm1.f64 (.f64 x (+.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (fma.f64 x y z)) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (fma.f64 x y z)) (+.f64 1 (expm1.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 1) (fma.f64 x y z)) (+.f64 1 (expm1.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y 1/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y 1/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x (+.f64 y 1/2) z))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (+.f64 y 1/2) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (+.f64 y 1/2) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (fma.f64 x 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (.f64 (fma.f64 x y z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 1/2 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 y 1/2) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 1/2) 1 (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 1/2) 1 (.f64 (fma.f64 x y z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (fma.f64 x 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x y) 1 (fma.f64 x 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (+.f64 1/2 y)) 1 z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 1 (.f64 x (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x 1/2) (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x 1/2) (.f64 (fma.f64 x y z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x y) (fma.f64 x 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x (+.f64 1/2 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (.f64 x (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x y z) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) (.f64 x (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (.f64 x (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) x) (fma.f64 x 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) y) (fma.f64 x 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/2) (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/2) (.f64 (fma.f64 x y z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (fma.f64 x 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) (fma.f64 x 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) (cbrt.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2)) (cbrt.f64 (.f64 x (+.f64 1/2 y))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (.f64 x 1/2) 2)) (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (.f64 x 1/2) 2)) (.f64 (fma.f64 x y z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (.f64 x 1/2) 2)) (cbrt.f64 (.f64 x 1/2)) (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (.f64 x 1/2) 2)) (cbrt.f64 (.f64 x 1/2)) (.f64 (fma.f64 x y z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (.f64 x (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (fma.f64 x 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (fma.f64 x 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (.f64 (fma.f64 x y z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (fma.f64 x 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x (+.f64 1/2 y))) (sqrt.f64 (.f64 x (+.f64 1/2 y))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (.f64 (fma.f64 x y z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) -1/2 (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) -1/2 (.f64 (fma.f64 x y z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 x 1/2)) (pow.f64 (.f64 x 1/2) 2))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (.f64 (fma.f64 x y z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (.f64 x (-.f64 1/2 y))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2) (cbrt.f64 (fma.f64 x y z)) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (fma.f64 x 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 x 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 x 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x 1/2 z))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x 1/2) 2) (*.f64 x (-.f64 1/2 y))) (/.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2)) (cbrt.f64 (*.f64 x (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) (sqrt.f64 (*.f64 x (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 x 1/2)) (pow.f64 (*.f64 x 1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x 1/2) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 x 1/2)) (pow.f64 (*.f64 x 1/2) 2)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (pow.f64 (*.f64 x 1/2) 2) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 x 1/2)) (pow.f64 (*.f64 x 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (pow.f64 (*.f64 x 1/2) 2) (*.f64 (*.f64 x 1/2) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x 1/2) 2) (pow.f64 (*.f64 x y) 2)) (*.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (*.f64 x y) 3))) (neg.f64 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 x 1/2)) (pow.f64 (*.f64 x 1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x 1/2) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 x 1/2) 2)) (-.f64 (*.f64 x y) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 x 1/2)) (pow.f64 (*.f64 x 1/2) 2)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (*.f64 x y) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (pow.f64 (*.f64 x 1/2) 2) (pow.f64 (*.f64 x y) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/2))) (pow.f64 (exp.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (sqrt.f64 (exp.f64 x)) (+.f64 1 (expm1.f64 (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/2))) (+.f64 1 (expm1.f64 (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x y))) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 y) x) (+.f64 1 (expm1.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x y))) (+.f64 1 (expm1.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 1/2 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (+.f64 1/2 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/2) 1 (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x y) 1 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/2) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x y) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 (*.f64 x 1/2) 2)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 x 1/2) 2)) (cbrt.f64 (*.f64 x 1/2)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) -1/2 (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 1/2))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y 1/2) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2) (-.f64 (*.f64 x (+.f64 1/2 y)) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (+.f64 1/2 y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (+.f64 y 1/2) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (+.f64 y 1/2) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (+.f64 y 1/2) z)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y 1/2) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y 1/2) z)) 2) (cbrt.f64 (fma.f64 x (+.f64 y 1/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (+.f64 y 1/2) z)) (sqrt.f64 (fma.f64 x (+.f64 y 1/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (-.f64 z (*.f64 x (+.f64 1/2 y))) (pow.f64 (*.f64 x (+.f64 1/2 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2) (*.f64 z z)) (/.f64 1 (-.f64 (*.f64 x (+.f64 1/2 y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 z (-.f64 z (*.f64 x (+.f64 1/2 y))) (pow.f64 (*.f64 x (+.f64 1/2 y)) 2)) (+.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3) (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x (+.f64 1/2 y)) z) (-.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3) (pow.f64 z 3)) (fma.f64 z (-.f64 z (*.f64 x (+.f64 1/2 y))) (pow.f64 (*.f64 x (+.f64 1/2 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3) (pow.f64 z 3)) (fma.f64 z z (-.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2) (*.f64 (*.f64 x (+.f64 1/2 y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2) (*.f64 z z)) (-.f64 (*.f64 x (+.f64 1/2 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3) (pow.f64 z 3))) (neg.f64 (fma.f64 z (-.f64 z (*.f64 x (+.f64 1/2 y))) (pow.f64 (*.f64 x (+.f64 1/2 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 x (+.f64 1/2 y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 x y z) 3)) (fma.f64 (*.f64 x x) 1/4 (-.f64 (pow.f64 (fma.f64 x y z) 2) (*.f64 (*.f64 x 1/2) (fma.f64 x y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x 1/2) 2) (pow.f64 (fma.f64 x y z) 2)) (-.f64 (*.f64 x 1/2) (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 x (+.f64 1/2 y)) 2)) (-.f64 z (*.f64 x (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (+.f64 y 1/2) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y 1/2) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y 1/2) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 z (-.f64 z (*.f64 x (+.f64 1/2 y))) (pow.f64 (*.f64 x (+.f64 1/2 y)) 2)) (+.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3) (pow.f64 z 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 x (+.f64 1/2 y)) z) (-.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2) (*.f64 z z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (+.f64 y 1/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 y 1/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/2))) (exp.f64 (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/2))) (pow.f64 (exp.f64 1) (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1/2 y)))) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)) (+.f64 1 (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1/2 y)))) (+.f64 1 (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 z)) (pow.f64 (exp.f64 x) (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 z) (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 z)) (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 x y z)) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 x y z)) (+.f64 1 (expm1.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1) (fma.f64 x y z)) (+.f64 1 (expm1.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y 1/2) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y 1/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y 1/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x (+.f64 y 1/2) z))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (+.f64 y 1/2) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (+.f64 y 1/2) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (fma.f64 x 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (*.f64 (fma.f64 x y z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 1/2 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 y 1/2) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/2) 1 (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/2) 1 (*.f64 (fma.f64 x y z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (fma.f64 x 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x y) 1 (fma.f64 x 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (+.f64 1/2 y)) 1 z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 1 (*.f64 x (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/2) (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/2) (*.f64 (fma.f64 x y z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x y) (fma.f64 x 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (+.f64 1/2 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 x (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x y z) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) (*.f64 x (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 x (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (fma.f64 x 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (fma.f64 x 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (*.f64 (fma.f64 x y z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (fma.f64 x 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (fma.f64 x 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2)) (cbrt.f64 (*.f64 x (+.f64 1/2 y))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 (*.f64 x 1/2) 2)) (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 (*.f64 x 1/2) 2)) (*.f64 (fma.f64 x y z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 x 1/2) 2)) (cbrt.f64 (*.f64 x 1/2)) (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 x 1/2) 2)) (cbrt.f64 (*.f64 x 1/2)) (*.f64 (fma.f64 x y z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (fma.f64 x 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (fma.f64 x 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (*.f64 (fma.f64 x y z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (fma.f64 x 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) (sqrt.f64 (*.f64 x (+.f64 1/2 y))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 (fma.f64 x y z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) -1/2 (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) -1/2 (*.f64 (fma.f64 x y z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 x 1/2)) (pow.f64 (*.f64 x 1/2) 2))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (*.f64 (fma.f64 x y z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 x 1/2) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (*.f64 x (-.f64 1/2 y))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2) (cbrt.f64 (fma.f64 x y z)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (fma.f64 x 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 x 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 x 1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x 1/2 z))))))

simplify57.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

239×	`fma-neg_binary64`
220×	`fma-def_binary64`
45×	`distribute-rgt-in_binary64`
45×	`cancel-sign-sub-inv_binary64`
40×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	439
1	47	412
2	88	412
3	176	412
4	311	412
5	512	412
6	811	412
7	1017	412
8	1093	412
9	1105	412

Stop Event

1×

saturated

Counts

228 → 179

Calls

Call 1

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

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

localize14.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 x 2) (fma.f64 x y z))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(+.f64 (/.f64 x 2) (fma.f64 x y z))
1.0ms	x	@	-inf	(+.f64 (/.f64 x 2) (fma.f64 x y z))
1.0ms	x	@	0	(+.f64 (/.f64 x 2) (fma.f64 x y z))
0.0ms	y	@	inf	(+.f64 (/.f64 x 2) (fma.f64 x y z))
0.0ms	y	@	0	(+.f64 (/.f64 x 2) (fma.f64 x y z))

rewrite58.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

952×	`pow1_binary64`
889×	`add-log-exp_binary64`
888×	`log1p-expm1-u_binary64`
888×	`expm1-log1p-u_binary64`
93×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	178	9
2	2380	9

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(+.f64 (/.f64 x 2) (fma.f64 x y z))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (fma.f64 x y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 x 1/2) 2) (-.f64 (.f64 x 1/2) (fma.f64 x y z))) (/.f64 (pow.f64 (fma.f64 x y z) 2) (-.f64 (.f64 x 1/2) (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x 1/2 (fma.f64 x y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x 1/2 (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))) 2) (cbrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))) (sqrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (fma.f64 x y z) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x 1/2) 2) (.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (fma.f64 x y z) 2)) (/.f64 1 (-.f64 (.f64 x 1/2) (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 2) (.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (.f64 x 1/2)))) (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (fma.f64 x y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (.f64 x 1/2) (fma.f64 x y z)) (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (fma.f64 x y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (fma.f64 x y z) 3)) (+.f64 (pow.f64 (.f64 x 1/2) 2) (.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (fma.f64 x y z) 3)) (+.f64 (pow.f64 (fma.f64 x y z) 2) (-.f64 (pow.f64 (.f64 x 1/2) 2) (.f64 x (.f64 1/2 (fma.f64 x y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (fma.f64 x y z) 2)) (-.f64 (.f64 x 1/2) (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (fma.f64 x y z) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 x 1/2) 2) (.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (fma.f64 x y z) 2))) (neg.f64 (-.f64 (.f64 x 1/2) (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x y z) 2) (pow.f64 (.f64 x 1/2) 2)) (-.f64 (fma.f64 x y z) (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 1/2 (fma.f64 x y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 x y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 x y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 1/2 (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (fma.f64 x y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 x y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 1/2 (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 1/2 (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 1/2 (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x 1/2) (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x y z) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2) (cbrt.f64 (fma.f64 x y z)) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (fma.f64 x y z))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (fma.f64 x y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x 1/2) 2) (-.f64 (*.f64 x 1/2) (fma.f64 x y z))) (/.f64 (pow.f64 (fma.f64 x y z) 2) (-.f64 (*.f64 x 1/2) (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1/2 (fma.f64 x y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 1/2 (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))) 2) (cbrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))) (sqrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (fma.f64 x y z) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x 1/2) 2) (*.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x 1/2) 2) (pow.f64 (fma.f64 x y z) 2)) (/.f64 1 (-.f64 (*.f64 x 1/2) (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 2) (*.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (*.f64 x 1/2)))) (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (fma.f64 x y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x 1/2) (fma.f64 x y z)) (-.f64 (pow.f64 (*.f64 x 1/2) 2) (pow.f64 (fma.f64 x y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (fma.f64 x y z) 3)) (+.f64 (pow.f64 (*.f64 x 1/2) 2) (*.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (fma.f64 x y z) 3)) (+.f64 (pow.f64 (fma.f64 x y z) 2) (-.f64 (pow.f64 (*.f64 x 1/2) 2) (*.f64 x (*.f64 1/2 (fma.f64 x y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x 1/2) 2) (pow.f64 (fma.f64 x y z) 2)) (-.f64 (*.f64 x 1/2) (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (fma.f64 x y z) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 2) (*.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x 1/2) 2) (pow.f64 (fma.f64 x y z) 2))) (neg.f64 (-.f64 (*.f64 x 1/2) (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x y z) 2) (pow.f64 (*.f64 x 1/2) 2)) (-.f64 (fma.f64 x y z) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 1/2 (fma.f64 x y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 x y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 x y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 1/2 (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (fma.f64 x y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 x y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 1/2 (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 1/2 (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 1/2 (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/2) (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x y z) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2) (cbrt.f64 (fma.f64 x y z)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (fma.f64 x y z))))))

simplify41.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

239×	`fma-neg_binary64`
220×	`fma-def_binary64`
45×	`distribute-rgt-in_binary64`
45×	`cancel-sign-sub-inv_binary64`
39×	`associate--r+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	280
1	47	253
2	88	253
3	176	253
4	313	253
5	514	253
6	813	253
7	1019	253
8	1095	253
9	1107	253

Stop Event

1×

saturated

Counts

71 → 47

Calls

Call 1

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

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

eval64.0ms (2.1%)

Compiler: Compiled 3078 to 1732 computations (43.7% saved)

prune33.0ms (1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	221	5	226
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	223	5	228

Error

Counts

228 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	46.8b	(*.f64 y x)
▶	16.5b	(+.f64 (*.f64 1/2 x) z)
▶	28.2b	(*.f64 (+.f64 1/2 y) x)
▶	19.2b	(+.f64 (*.f64 y x) z)
	35.2b	z

Compiler

Compiled 34 to 24 computations (29.4% saved)

localize3.0ms (0.1%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize6.0ms (0.2%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

localize6.0ms (0.2%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

localize6.0ms (0.2%)

Compiler: Compiled 14 to 5 computations (64.3% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	3	3
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	46.8b	(*.f64 y x)
✓	16.5b	(+.f64 (*.f64 1/2 x) z)
✓	28.2b	(*.f64 (+.f64 1/2 y) x)
✓	19.2b	(+.f64 (*.f64 y x) z)
	35.2b	z

Compiler

Compiled 34 to 24 computations (29.4% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	46.8b	(*.f64 y x)
✓	16.5b	(+.f64 (*.f64 1/2 x) z)
✓	28.2b	(*.f64 (+.f64 1/2 y) x)
✓	19.2b	(+.f64 (*.f64 y x) z)
	35.2b	z

Compiler

Compiled 34 to 24 computations (29.4% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	46.8b	(*.f64 y x)
✓	16.5b	(+.f64 (*.f64 1/2 x) z)
✓	28.2b	(*.f64 (+.f64 1/2 y) x)
✓	19.2b	(+.f64 (*.f64 y x) z)
	35.2b	z

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes36.0ms (1.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

6 calls:

6.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))
6.0ms	x
5.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))
5.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
5.0ms	z

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)`
0.0b	1	`(+.f64 (/.f64 x 2) (*.f64 y x))`
0.0b	1	`(+.f64 (/.f64 x 2) (*.f64 y x))`

Compiler

Compiled 83 to 50 computations (39.8% saved)

regimes30.0ms (0.9%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	z
6.0ms	x
5.0ms	y
5.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
5.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)`
0.0b	1	`(+.f64 (/.f64 x 2) (*.f64 y x))`

Compiler

Compiled 65 to 39 computations (40% saved)

regimes53.0ms (1.7%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	z
17.0ms	x
13.0ms	y

Results

Error	Segments	Branch
10.7b	3	`x`
0.8b	3	`y`
6.3b	5	`z`

Compiler

Compiled 34 to 20 computations (41.2% saved)

bsearch36.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	6.315144559657042e-8	5510997.65611891
18.0ms	-505.1889016832789	-6.425585403757122e-10

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes50.0ms (1.6%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

23.0ms	y
15.0ms	x
11.0ms	z

Results

Error	Segments	Branch
13.2b	3	`x`
10.0b	5	`y`
7.3b	3	`z`

Compiler

Compiled 29 to 19 computations (34.5% saved)

bsearch97.0ms (3.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
69.0ms	3.6864189875195604e-116	8.361152784738213e-113
27.0ms	-1.2426832532138908e+25	-3501177887211045000.0

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes130.0ms (4.2%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

49.0ms	x
39.0ms	y
35.0ms	z

Results

Error	Segments	Branch
13.8b	5	`x`
11.4b	3	`y`
13.3b	5	`z`

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch365.0ms (11.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	5510997.65611891	5340908429.1012
331.0ms	-8.541355362761719e+77	-2.2486752970026594e+75

Compiler

Compiled 146 to 109 computations (25.3% saved)

regimes67.0ms (2.2%)

Accuracy

Total -36.1b remaining (-138.5%)

Threshold costs -36.1b (-138.5%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 y x)

Outputs
z
(*.f64 y x)
z

Calls

3 calls:

26.0ms	x
20.0ms	y
20.0ms	z

Results

Error	Segments	Branch
31.8b	3	`x`
30.0b	3	`y`
26.1b	3	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch68.0ms (2.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	3.6864189875195604e-116	8.361152784738213e-113
33.0ms	-1.2426832532138908e+25	-3501177887211045000.0

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify13.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	136
1	47	136

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 x 2) (fma.f64 x y z))
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(if (<=.f64 y -4443688572993213/8796093022208) (+.f64 (.f64 y x) z) (if (<=.f64 y 149112135015005/2361183241434822606848) (+.f64 (.f64 1/2 x) z) (+.f64 (*.f64 y x) z)))
(if (<=.f64 z -12426832532138908037677056) (+.f64 (.f64 1/2 x) z) (if (<=.f64 z 6541582212177295/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736) (.f64 (+.f64 1/2 y) x) (+.f64 (*.f64 1/2 x) z)))
(if (<=.f64 y -850000000000000017503981701893785293195096826892387179652848397507251515949056) (.f64 y x) (if (<=.f64 y 5917388675340843/1073741824) (+.f64 (.f64 1/2 x) z) (*.f64 y x)))
(if (<=.f64 z -12426832532138908037677056) z (if (<=.f64 z 6541582212177295/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736) (*.f64 y x) z))
z

Outputs
(+.f64 (/.f64 x 2) (fma.f64 x y z))
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 z (+.f64 (/.f64 x 2) (*.f64 x y)))
(if (<=.f64 y -4443688572993213/8796093022208) (+.f64 (.f64 y x) z) (if (<=.f64 y 149112135015005/2361183241434822606848) (+.f64 (.f64 1/2 x) z) (+.f64 (*.f64 y x) z)))
(if (<=.f64 y -4443688572993213/8796093022208) (+.f64 z (.f64 x y)) (if (<=.f64 y 149112135015005/2361183241434822606848) (+.f64 z (.f64 x 1/2)) (+.f64 z (*.f64 x y))))
(if (<=.f64 z -12426832532138908037677056) (+.f64 (.f64 1/2 x) z) (if (<=.f64 z 6541582212177295/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736) (.f64 (+.f64 1/2 y) x) (+.f64 (*.f64 1/2 x) z)))
(if (<=.f64 z -12426832532138908037677056) (+.f64 z (.f64 x 1/2)) (if (<=.f64 z 6541582212177295/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736) (.f64 x (+.f64 y 1/2)) (+.f64 z (*.f64 x 1/2))))
(if (<=.f64 y -850000000000000017503981701893785293195096826892387179652848397507251515949056) (.f64 y x) (if (<=.f64 y 5917388675340843/1073741824) (+.f64 (.f64 1/2 x) z) (*.f64 y x)))
(if (<=.f64 y -850000000000000017503981701893785293195096826892387179652848397507251515949056) (.f64 x y) (if (<=.f64 y 5917388675340843/1073741824) (+.f64 z (.f64 x 1/2)) (*.f64 x y)))
(if (<=.f64 z -12426832532138908037677056) z (if (<=.f64 z 6541582212177295/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736) (*.f64 y x) z))
(if (<=.f64 z -12426832532138908037677056) z (if (<=.f64 z 6541582212177295/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736) (*.f64 x y) z))
z

Compiler

Compiled 117 to 73 computations (37.6% saved)

soundness17.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

6×	`fma-def_binary64`
5×	`+-commutative_binary64`
3×	`associate-+r+_binary64`
3×	`associate-+l+_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	14	11
2	25	11
3	29	11

Stop Event

1×

saturated

Compiler

Compiled 47 to 31 computations (34% saved)

end105.0ms (3.4%)

Compiler: Compiled 99 to 52 computations (47.5% saved)

Details

analyze421.0ms (13.5%)

sample1.1s (36.4%)

preprocess28.0ms (0.9%)

simplify14.0ms (0.5%)

eval1.0ms (0%)

prune4.0ms (0.1%)

localize25.0ms (0.8%)

series14.0ms (0.5%)

rewrite111.0ms (3.6%)

simplify57.0ms (1.8%)

localize14.0ms (0.4%)

series5.0ms (0.1%)

rewrite58.0ms (1.9%)

simplify41.0ms (1.3%)

eval64.0ms (2.1%)

prune33.0ms (1%)

localize3.0ms (0.1%)

localize6.0ms (0.2%)

localize6.0ms (0.2%)

localize6.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes36.0ms (1.1%)

regimes30.0ms (0.9%)

regimes53.0ms (1.7%)

bsearch36.0ms (1.2%)

regimes50.0ms (1.6%)

bsearch97.0ms (3.1%)

regimes130.0ms (4.2%)

bsearch365.0ms (11.7%)

regimes67.0ms (2.2%)

bsearch68.0ms (2.2%)

simplify13.0ms (0.4%)

soundness17.0ms (0.5%)

end105.0ms (3.4%)

Profiling