Details

analyze635.0ms (12.9%)

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 (22.8%)

Results

1.0s	8256×	body	256	valid
76.0ms	599×	body	256	infinite

Bogosity

preprocess19.0ms (0.4%)

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)

simplify7.0ms (0.1%)

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)

prune1.0ms (0%)

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)

localize11.0ms (0.2%)

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)

series8.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

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

rewrite77.0ms (1.6%)

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)) 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(#(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 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Outputs

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simplify53.0ms (1.1%)

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)

localize9.0ms (0.2%)

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)

series4.0ms (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	@	0	(+.f64 (/.f64 x 2) (fma.f64 x y z))
0.0ms	x	@	-inf	(+.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))

rewrite87.0ms (1.8%)

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))))))

simplify43.0ms (0.9%)

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)

eval110.0ms (2.2%)

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

prune124.0ms (2.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	218	8	226
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	220	8	228

Error

Counts

228 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(fma.f64 x (+.f64 y 1/2) z)
▶	47.6b	(*.f64 y x)
	30.0b	(+.f64 (.f64 1/2 x) (.f64 y x))
▶	18.4b	(+.f64 (*.f64 y x) z)
▶	30.0b	(*.f64 (+.f64 1/2 y) x)
	0.0b	(+.f64 (*.f64 (+.f64 1/2 y) x) z)
	33.6b	z
▶	16.1b	(+.f64 (*.f64 1/2 x) z)

Compiler

Compiled 122 to 85 computations (30.3% saved)

localize13.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x (+.f64 y 1/2) z)

Compiler

Compiled 16 to 9 computations (43.8% saved)

series8.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(fma.f64 x (+.f64 y 1/2) z)
1.0ms	x	@	0	(fma.f64 x (+.f64 y 1/2) z)
1.0ms	y	@	inf	(fma.f64 x (+.f64 y 1/2) z)
1.0ms	z	@	0	(fma.f64 x (+.f64 y 1/2) z)
1.0ms	y	@	-inf	(fma.f64 x (+.f64 y 1/2) z)

rewrite83.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

773×	`pow1_binary64`
717×	`add-log-exp_binary64`
717×	`log1p-expm1-u_binary64`
717×	`expm1-log1p-u_binary64`
703×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	150	8
2	1865	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 x (+.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 y 1/2)) z)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (+.f64 y 1/2)) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (+.f64 y 1/2) z)) 1)))) (#(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 y 1/2)) 3) (pow.f64 z 3)) (+.f64 (*.f64 (*.f64 x (+.f64 y 1/2)) (*.f64 x (+.f64 y 1/2))) (-.f64 (*.f64 z z) (*.f64 (*.f64 x (+.f64 y 1/2)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (+.f64 y 1/2)) (*.f64 x (+.f64 y 1/2))) (*.f64 z z)) (-.f64 (*.f64 x (+.f64 y 1/2)) z))))) (#(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) 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 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 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)))))))

simplify24.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
5×	`+-commutative_binary64`
3×	`*-commutative_binary64`
2×	`associate-+r+_binary64`
2×	`associate-+l+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	307
1	26	253
2	36	253
3	40	253

Stop Event

1×

saturated

Counts

57 → 29

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 (+.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 (*.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 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))
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))
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))

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

localize6.0ms (0.1%)

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

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 1/2 y) x)

Compiler

Compiled 14 to 9 computations (35.7% saved)

series5.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

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

rewrite74.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

679×	`pow1_binary64`
633×	`add-log-exp_binary64`
633×	`log1p-expm1-u_binary64`
633×	`expm1-log1p-u_binary64`
622×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	130	7
2	1652	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify16.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	75
1	13	75
2	19	75

Stop Event

1×

saturated

Counts

33 → 25

Calls

Call 1

Inputs
(*.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))

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

localize11.0ms (0.2%)

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

localize34.0ms (0.7%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series4.0ms (0.1%)

Counts

1 → 9

Calls

9 calls:

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

rewrite78.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

707×	`pow1_binary64`
655×	`add-log-exp_binary64`
655×	`log1p-expm1-u_binary64`
655×	`expm1-log1p-u_binary64`
640×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	129	5
2	1775	5

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	24
1	6	24

Stop Event

1×

saturated

Counts

44 → 37

Calls

Call 1

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

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

eval44.0ms (0.9%)

Compiler: Compiled 896 to 456 computations (49.1% saved)

prune33.0ms (0.7%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	88	3	91
Fresh	1	2	3
Picked	0	1	1
Done	1	3	4
Total	90	9	99

Error

Counts

99 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	47.6b	(*.f64 y x)
▶	30.0b	(+.f64 (.f64 y x) (.f64 1/2 x))
✓	18.4b	(+.f64 (*.f64 y x) z)
✓	30.0b	(*.f64 (+.f64 1/2 y) x)
▶	0.0b	(+.f64 (*.f64 (+.f64 1/2 y) x) z)
▶	45.3b	(*.f64 1/2 x)
	33.6b	z
▶	18.4b	(fma.f64 y x z)
✓	16.1b	(+.f64 (*.f64 1/2 x) z)

Compiler

Compiled 67 to 47 computations (29.9% saved)

localize7.0ms (0.1%)

Compiler: Compiled 8 to 6 computations (25% saved)

localize43.0ms (0.9%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 y x) (.f64 1/2 x))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite90.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

814×	`pow1_binary64`
758×	`add-log-exp_binary64`
758×	`log1p-expm1-u_binary64`
758×	`expm1-log1p-u_binary64`
743×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	153	7
2	2061	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify39.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

92×	`fma-neg_binary64`
85×	`fma-def_binary64`
23×	`associate-l_binary64`
22×	`cancel-sign-sub-inv_binary64`
22×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	159
1	31	159
2	62	159
3	131	159
4	225	159
5	340	159
6	510	159
7	551	159

Stop Event

1×

saturated

Counts

65 → 48

Calls

Call 1

Inputs
(*.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))
(*.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)))

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

localize21.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (+.f64 1/2 y) x) z)
	0.0b	(*.f64 (+.f64 1/2 y) x)

Compiler

Compiled 22 to 13 computations (40.9% saved)

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite86.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

863×	`prod-diff_binary64`
579×	`unpow-prod-down_binary64`
417×	`log-prod_binary64`
298×	`fma-def_binary64`
243×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	180	8
2	2480	8

Stop Event

1×	node limit

Counts

1 → 66

Calls

Call 1

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

Outputs

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

simplify52.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
5×	`+-commutative_binary64`
3×	`*-commutative_binary64`
2×	`associate-+r+_binary64`
2×	`associate-+l+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	280
1	26	253
2	36	253
3	40	253

Stop Event

1×

saturated

Counts

102 → 75

Calls

Call 1

Inputs
(+.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))
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 (+.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 (+.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))
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))
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))

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

localize9.0ms (0.2%)

Compiler: Compiled 10 to 4 computations (60% saved)

eval106.0ms (2.1%)

Compiler: Compiled 1861 to 1168 computations (37.2% saved)

prune73.0ms (1.5%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	1	1
Picked	0	1	1
Done	0	7	7
Total	148	9	157

Error

Counts

157 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	47.6b	(*.f64 y x)
✓	30.0b	(+.f64 (.f64 y x) (.f64 1/2 x))
✓	18.4b	(+.f64 (*.f64 y x) z)
✓	30.0b	(*.f64 (+.f64 1/2 y) x)
✓	0.0b	(+.f64 (*.f64 (+.f64 1/2 y) x) z)
✓	45.3b	(*.f64 1/2 x)
	33.6b	z
✓	18.4b	(fma.f64 y x z)
✓	16.1b	(+.f64 (*.f64 1/2 x) z)

Compiler

Compiled 67 to 47 computations (29.9% saved)

eval0.0ms (0%)

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

prune7.0ms (0.1%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	8	8
Total	9	9

Error

Counts

9 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	47.6b	(*.f64 y x)
✓	30.0b	(+.f64 (.f64 y x) (.f64 1/2 x))
✓	18.4b	(+.f64 (*.f64 y x) z)
✓	30.0b	(*.f64 (+.f64 1/2 y) x)
✓	0.0b	(+.f64 (*.f64 (+.f64 1/2 y) x) z)
✓	45.3b	(*.f64 1/2 x)
	33.6b	z
✓	18.4b	(fma.f64 y x z)
✓	16.1b	(+.f64 (*.f64 1/2 x) z)

Compiler

Compiled 67 to 47 computations (29.9% saved)

regimes161.0ms (3.3%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

6 calls:

47.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))
33.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
33.0ms	y
15.0ms	z
15.0ms	(+.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))`
0.0b	1	`(+.f64 (/.f64 x 2) (*.f64 y x))`

Compiler

Compiled 117 to 66 computations (43.6% saved)

regimes80.0ms (1.6%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

5 calls:

42.0ms	y
12.0ms	x
9.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
7.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))
7.0ms	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))`

Compiler

Compiled 93 to 52 computations (44.1% saved)

regimes25.0ms (0.5%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	y
7.0ms	x
6.0ms	z

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`

Compiler

Compiled 58 to 32 computations (44.8% saved)

regimes107.0ms (2.2%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

54.0ms	z
33.0ms	x
17.0ms	y

Results

Error	Segments	Branch
7.4b	5	`x`
1.1b	3	`y`
8.1b	3	`z`

Compiler

Compiled 51 to 28 computations (45.1% saved)

bsearch38.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.01492553826258822	1789.348063051798
19.0ms	-1091240029.3184428	-0.000795426462177779

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes169.0ms (3.4%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

88.0ms	x
42.0ms	z
38.0ms	y

Results

Error	Segments	Branch
8.7b	3	`x`
12.2b	7	`y`
11.0b	3	`z`

Compiler

Compiled 32 to 19 computations (40.6% saved)

bsearch40.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	2.3151347911029887e+38	5.187890825356853e+47
19.0ms	-3.6715641379790693e+21	-489465429253791.5

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes57.0ms (1.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

27.0ms	y
16.0ms	z
12.0ms	x

Results

Error	Segments	Branch
12.5b	3	`x`
12.5b	7	`y`
16.5b	3	`z`

Compiler

Compiled 27 to 16 computations (40.7% saved)

bsearch104.0ms (2.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
65.0ms	6.405959583103524e+149	2.6854270153547314e+153
39.0ms	-6.005397485049496e+245	-5.507556003455105e+238

Compiler

Compiled 290 to 217 computations (25.2% saved)

regimes72.0ms (1.5%)

Counts

3 → 11

Calls

Call 1

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

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

Calls

3 calls:

35.0ms	y
22.0ms	z
13.0ms	x

Results

Error	Segments	Branch
24.4b	3	`x`
22.4b	11	`y`
22.6b	6	`z`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch398.0ms (8.1%)

Algorithm

10×	binary-search

Steps

Time	Left	Right
28.0ms	1.5035715217427406e+223	3.1315340400951984e+224
115.0ms	3.76548310074975e+175	4.765845591707705e+182
18.0ms	3.54451591727026e+19	9.625439150341186e+20
17.0ms	2.8545573739559197e-71	1.5045712821867946e-64
34.0ms	2.127821614455566e-126	4.5633514247825906e-125
18.0ms	-1.6634726031464027e-276	-9.09779603878969e-279
17.0ms	-2.7017302611477015e-170	-4.536773476859588e-172
54.0ms	-1.0012360023512695e-90	-3.74967799774778e-93
19.0ms	-1091240029.3184428	-0.000795426462177779
77.0ms	-3.030499055113103e+134	-5.845566303228598e+120

Compiler

Compiled 330 to 247 computations (25.2% saved)

regimes81.0ms (1.6%)

Accuracy

Total -37.8b remaining (-155.1%)

Threshold costs -37.8b (-155.1%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 1/2 x)

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

Calls

3 calls:

55.0ms	y
13.0ms	x
12.0ms	z

Results

Error	Segments	Branch
24.4b	3	`x`
27.8b	7	`y`
26.2b	3	`z`

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch161.0ms (3.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	2.3151347911029887e+38	5.187890825356853e+47
143.0ms	-2.1838621885677725e+85	-3.2238180351453924e+76

Compiler

Compiled 126 to 103 computations (18.3% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	235
1	78	235

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x (+.f64 y 1/2) z)
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (*.f64 (+.f64 1/2 y) x) z)
(if (<=.f64 y -2288496209965231/2097152) (+.f64 (.f64 y x) z) (if (<=.f64 y 4301993507692569/288230376151711744) (+.f64 (.f64 1/2 x) z) (+.f64 (*.f64 y x) z)))
(if (<=.f64 x -3671564137979069333504) (.f64 (+.f64 1/2 y) x) (if (<=.f64 x 231513479110298867469394906284982009856) (+.f64 (.f64 y x) z) (*.f64 (+.f64 1/2 y) x)))
(if (<=.f64 x -55999999999999998097400980461140511265729730291775617579659489047919829871917590798997085167405099653193905938392632960481010911738354374692690627092654704210831617319628779762902957746938409745410375920371533269730209631767942701686718464) (.f64 1/2 x) (if (<=.f64 x 650000000000000014799589673169551879472170804919877253770808152374592333488273548208567178852965873507920740939148112064963131250267135073899253858304) (+.f64 (.f64 y x) z) (*.f64 1/2 x)))
(if (<=.f64 y -6000000000000000453395464081883084992718054982903786308273137163054915422161782199519455631701156656033294728617883860992) z (if (<=.f64 y -2288496209965231/2097152) (.f64 y x) (if (<=.f64 y -4592666771344137/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248) (.f64 1/2 x) (if (<=.f64 y -1836789232689037/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384) z (if (<=.f64 y -4150032093957803/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (.f64 1/2 x) (if (<=.f64 y 3243419941532079/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712) z (if (<=.f64 y 3549094279332949/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264) (.f64 1/2 x) (if (<=.f64 y 35445159172702601216) z (if (<=.f64 y 37999999999999996908875913171426868766891926901673452997393577843442839568210334631143169798592565480241178320987673696340883510506100038551242089541692309053282092450823798784) (.f64 y x) (if (<=.f64 y 309999999999999992614941492182123857754202575458772814746613158784142343003424489154558326955742961851666256202029996277508490141113090282997000796237205386217637738633776610517649039397887492714629304213820835025848943771648) z (.f64 y x)))))))))))
(if (<=.f64 x -21000000000000000997419234523228712393846488972860301489961723747604379165526534914048) (.f64 1/2 x) (if (<=.f64 x 231513479110298867469394906284982009856) z (.f64 1/2 x)))
z

Outputs
(fma.f64 x (+.f64 y 1/2) z)
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 z (+.f64 (/.f64 x 2) (*.f64 x y)))
(+.f64 (*.f64 (+.f64 1/2 y) x) z)
(+.f64 z (*.f64 x (+.f64 y 1/2)))
(if (<=.f64 y -2288496209965231/2097152) (+.f64 (.f64 y x) z) (if (<=.f64 y 4301993507692569/288230376151711744) (+.f64 (.f64 1/2 x) z) (+.f64 (*.f64 y x) z)))
(if (<=.f64 y -2288496209965231/2097152) (+.f64 z (.f64 x y)) (if (<=.f64 y 4301993507692569/288230376151711744) (+.f64 z (.f64 x 1/2)) (+.f64 z (*.f64 x y))))
(if (<=.f64 x -3671564137979069333504) (.f64 (+.f64 1/2 y) x) (if (<=.f64 x 231513479110298867469394906284982009856) (+.f64 (.f64 y x) z) (*.f64 (+.f64 1/2 y) x)))
(if (<=.f64 x -3671564137979069333504) (.f64 x (+.f64 y 1/2)) (if (<=.f64 x 231513479110298867469394906284982009856) (+.f64 z (.f64 x y)) (*.f64 x (+.f64 y 1/2))))
(if (<=.f64 x -55999999999999998097400980461140511265729730291775617579659489047919829871917590798997085167405099653193905938392632960481010911738354374692690627092654704210831617319628779762902957746938409745410375920371533269730209631767942701686718464) (.f64 1/2 x) (if (<=.f64 x 650000000000000014799589673169551879472170804919877253770808152374592333488273548208567178852965873507920740939148112064963131250267135073899253858304) (+.f64 (.f64 y x) z) (*.f64 1/2 x)))
(if (<=.f64 x -55999999999999998097400980461140511265729730291775617579659489047919829871917590798997085167405099653193905938392632960481010911738354374692690627092654704210831617319628779762902957746938409745410375920371533269730209631767942701686718464) (.f64 x 1/2) (if (<=.f64 x 650000000000000014799589673169551879472170804919877253770808152374592333488273548208567178852965873507920740939148112064963131250267135073899253858304) (+.f64 z (.f64 x y)) (*.f64 x 1/2)))
(if (<=.f64 y -6000000000000000453395464081883084992718054982903786308273137163054915422161782199519455631701156656033294728617883860992) z (if (<=.f64 y -2288496209965231/2097152) (.f64 y x) (if (<=.f64 y -4592666771344137/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248) (.f64 1/2 x) (if (<=.f64 y -1836789232689037/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384) z (if (<=.f64 y -4150032093957803/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (.f64 1/2 x) (if (<=.f64 y 3243419941532079/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712) z (if (<=.f64 y 3549094279332949/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264) (.f64 1/2 x) (if (<=.f64 y 35445159172702601216) z (if (<=.f64 y 37999999999999996908875913171426868766891926901673452997393577843442839568210334631143169798592565480241178320987673696340883510506100038551242089541692309053282092450823798784) (.f64 y x) (if (<=.f64 y 309999999999999992614941492182123857754202575458772814746613158784142343003424489154558326955742961851666256202029996277508490141113090282997000796237205386217637738633776610517649039397887492714629304213820835025848943771648) z (.f64 y x)))))))))))
(if (<=.f64 y -6000000000000000453395464081883084992718054982903786308273137163054915422161782199519455631701156656033294728617883860992) z (if (<=.f64 y -2288496209965231/2097152) (.f64 x y) (if (<=.f64 y -4592666771344137/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248) (.f64 x 1/2) (if (<=.f64 y -1836789232689037/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384) z (if (<=.f64 y -4150032093957803/2494800386918399764570465891296048207584314075544321926878184053046514864836205082231197456865794626361678058555240619054965547485491992075923964747856039275400007091188857095646922151805453733978316695930679904991663513068901087986111069085560055196883901133594695052052948119037930012409856) (.f64 x 1/2) (if (<=.f64 y 3243419941532079/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712) z (if (<=.f64 y 3549094279332949/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264) (.f64 x 1/2) (if (<=.f64 y 35445159172702601216) z (if (<=.f64 y 37999999999999996908875913171426868766891926901673452997393577843442839568210334631143169798592565480241178320987673696340883510506100038551242089541692309053282092450823798784) (.f64 x y) (if (<=.f64 y 309999999999999992614941492182123857754202575458772814746613158784142343003424489154558326955742961851666256202029996277508490141113090282997000796237205386217637738633776610517649039397887492714629304213820835025848943771648) z (.f64 x y)))))))))))
(if (<=.f64 x -21000000000000000997419234523228712393846488972860301489961723747604379165526534914048) (.f64 1/2 x) (if (<=.f64 x 231513479110298867469394906284982009856) z (.f64 1/2 x)))
(if (<=.f64 x -21000000000000000997419234523228712393846488972860301489961723747604379165526534914048) (.f64 x 1/2) (if (<=.f64 x 231513479110298867469394906284982009856) z (.f64 x 1/2)))
z

Compiler

Compiled 193 to 123 computations (36.3% saved)

soundness0.0ms (0%)

end119.0ms (2.4%)

Compiler: Compiled 169 to 93 computations (45% saved)

Details

analyze635.0ms (12.9%)

sample1.1s (22.8%)

preprocess19.0ms (0.4%)

simplify7.0ms (0.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize11.0ms (0.2%)

series8.0ms (0.2%)

rewrite77.0ms (1.6%)

simplify53.0ms (1.1%)

localize9.0ms (0.2%)

series4.0ms (0.1%)

rewrite87.0ms (1.8%)

simplify43.0ms (0.9%)

eval110.0ms (2.2%)

prune124.0ms (2.5%)

localize13.0ms (0.3%)

series8.0ms (0.2%)

rewrite83.0ms (1.7%)

simplify24.0ms (0.5%)

localize6.0ms (0.1%)

localize11.0ms (0.2%)

series5.0ms (0.1%)

rewrite74.0ms (1.5%)

simplify16.0ms (0.3%)

localize11.0ms (0.2%)

localize34.0ms (0.7%)

series4.0ms (0.1%)

rewrite78.0ms (1.6%)

simplify13.0ms (0.3%)

eval44.0ms (0.9%)

prune33.0ms (0.7%)

localize7.0ms (0.1%)

localize43.0ms (0.9%)

series3.0ms (0.1%)

rewrite90.0ms (1.8%)

simplify39.0ms (0.8%)

localize21.0ms (0.4%)

series5.0ms (0.1%)

rewrite86.0ms (1.7%)

simplify52.0ms (1.1%)

localize9.0ms (0.2%)

eval106.0ms (2.1%)

prune73.0ms (1.5%)

eval0.0ms (0%)

prune7.0ms (0.1%)

regimes161.0ms (3.3%)

regimes80.0ms (1.6%)

regimes25.0ms (0.5%)

regimes107.0ms (2.2%)

bsearch38.0ms (0.8%)

regimes169.0ms (3.4%)

bsearch40.0ms (0.8%)

regimes57.0ms (1.2%)

bsearch104.0ms (2.1%)

regimes72.0ms (1.5%)

bsearch398.0ms (8.1%)

regimes81.0ms (1.6%)

bsearch161.0ms (3.3%)

simplify11.0ms (0.2%)

soundness0.0ms (0%)

end119.0ms (2.4%)

Profiling