Details

analyze198.0ms (4.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
25%	71.8%	3.3%	9
34.3%	60.1%	5.6%	10
40.6%	53.8%	5.6%	11
46.8%	44.1%	9.1%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample977.0ms (23.7%)

Results

836.0ms	8256×	body	256	valid
127.0ms	1256×	body	256	invalid

preprocess101.0ms (2.5%)

Algorithm

2×	egg-herbie

Rules

768×	`fma-neg_binary64`
441×	`fma-def_binary64`
180×	`cancel-sign-sub-inv_binary64`
127×	`distribute-rgt-in_binary64`
113×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	44
1	43	44
2	87	44
3	151	44
4	337	36
5	680	32
6	1142	32
7	1869	32
8	2490	32
9	2788	32
10	2863	32
11	2864	32
12	2864	32
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 x y) (.f64 z (-.f64 1 y)))
(+.f64 (.f64 y x) (.f64 z (-.f64 1 x)))
(+.f64 (.f64 z y) (.f64 x (-.f64 1 y)))
(+.f64 (.f64 x z) (.f64 y (-.f64 1 z)))

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify34.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

354×	`fma-def_binary64`
246×	`fma-neg_binary64`
54×	`cancel-sign-sub-inv_binary64`
44×	`distribute-rgt-in_binary64`
42×	`associate--r+_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	17	11
2	30	11
3	57	11
4	126	9
5	218	8
6	347	8
7	558	8
8	969	8
9	1154	8
10	1214	8
11	1224	8

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 18 to 10 computations (44.4% 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	(fma.f64 y (-.f64 x z) z)
▶	0.0b	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 14 computations (48.1% saved)

series8.0ms (0.2%)

Counts

2 → 48

Calls

15 calls:

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

rewrite75.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

476×	`log-prod_binary64`
409×	`prod-exp_binary64`
382×	`fma-def_binary64`
353×	`exp-prod_binary64`
342×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	192	18
2	2623	18

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 z (.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 z (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (-.f64 1 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (-.f64 1 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 z (-.f64 1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 y 3)) z) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 y y)) z) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 z (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 z (-.f64 1 (.f64 y y))) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (.f64 z (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 z (-.f64 1 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 z (-.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 z (-.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 z (-.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 z (-.f64 1 y)))) 2)) (cbrt.f64 (log.f64 (.f64 z (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 z (-.f64 1 y))))) (sqrt.f64 (log.f64 (.f64 z (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 z (-.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 z (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 z (-.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 z (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 z (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 z (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 z (-.f64 1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z (-.f64 1 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z (-.f64 1 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 z (-.f64 1 y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 z (-.f64 1 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 z (-.f64 1 y))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 z) 1) (log1p.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 z) (.f64 (log1p.f64 (neg.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 z) 1) (.f64 (log1p.f64 (neg.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log1p.f64 (neg.f64 y)) 1) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (neg.f64 y)) (.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log1p.f64 (neg.f64 y)) 1) (.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 1 (.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 1 (.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (cbrt.f64 (.f64 z z)) (.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (cbrt.f64 (.f64 z z)) (.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 z z)) (cbrt.f64 z) (.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 z z)) (cbrt.f64 z) (.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (.f64 z (neg.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (-.f64 1 y) (.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 y x) 2) (-.f64 (.f64 y x) (.f64 z (-.f64 1 y)))) (/.f64 (pow.f64 (.f64 z (-.f64 1 y)) 2) (-.f64 (.f64 y x) (.f64 z (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 z (-.f64 1 y) (.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 z (-.f64 1 y) (.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 z (-.f64 1 y) (.f64 y x))) (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 y) (.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 y) (.f64 y x))) 2) (cbrt.f64 (fma.f64 z (-.f64 1 y) (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 z (-.f64 1 y) (.f64 y x))) (sqrt.f64 (fma.f64 z (-.f64 1 y) (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (-.f64 1 y)) 3)) (/.f64 1 (fma.f64 (.f64 z (-.f64 1 y)) (fma.f64 z (-.f64 1 y) (neg.f64 (.f64 y x))) (pow.f64 (.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (-.f64 1 y)) 2)) (/.f64 1 (-.f64 (.f64 y x) (.f64 z (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 z (-.f64 1 y)) (fma.f64 z (-.f64 1 y) (neg.f64 (.f64 y x))) (pow.f64 (.f64 y x) 2)) (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (-.f64 1 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (.f64 y x) (.f64 z (-.f64 1 y))) (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (-.f64 1 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (-.f64 1 y)) 3)) (fma.f64 (.f64 z (-.f64 1 y)) (fma.f64 z (-.f64 1 y) (neg.f64 (.f64 y x))) (pow.f64 (.f64 y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 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(E.f64) (log.f64 (fma.f64 z (-.f64 1 y) (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (-.f64 1 y) (.f64 y x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (-.f64 1 y) (.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 y) (.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (-.f64 1 y) (.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (.f64 z (-.f64 1 y)) (fma.f64 z (-.f64 1 y) (neg.f64 (.f64 y x))) (pow.f64 (.f64 y x) 2)) (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 z (-.f64 1 y)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (.f64 y x) (.f64 z (-.f64 1 y))) (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (-.f64 1 y)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 z (-.f64 1 y) (.f64 y x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 z (-.f64 1 y) (.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 z (-.f64 1 y) (.f64 y x))))) (sqrt.f64 (log.f64 (fma.f64 z (-.f64 1 y) (.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (-.f64 1 y) (.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (-.f64 1 y) (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (-.f64 1 y) (.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (-.f64 1 y)))) (pow.f64 (exp.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 z) (-.f64 1 y)) (+.f64 1 (expm1.f64 (.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (-.f64 1 y)))) (+.f64 1 (expm1.f64 (.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y x))) (pow.f64 (exp.f64 z) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 x) y) (+.f64 1 (expm1.f64 (.f64 z (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y x))) (+.f64 1 (expm1.f64 (.f64 z (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (-.f64 1 y) (.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (-.f64 1 y) (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (-.f64 1 y) (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (-.f64 1 y) (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 z (-.f64 1 y) (.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 z (-.f64 1 y) (.f64 y x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 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Outputs

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

simplify47.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

315×	`fma-def_binary64`
253×	`fma-neg_binary64`
47×	`cancel-sign-sub-inv_binary64`
46×	`unsub-neg_binary64`
38×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	435
1	63	340
2	133	340
3	253	340
4	512	340
5	861	340
6	1124	340
7	1191	340
8	1193	340

Stop Event

1×

saturated

Counts

170 → 136

Calls

Call 1

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

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

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y (-.f64 x z) z)

Compiler

Compiled 15 to 5 computations (66.7% saved)

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite57.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`pow1_binary64`
686×	`add-log-exp_binary64`
686×	`log1p-expm1-u_binary64`
686×	`expm1-log1p-u_binary64`
670×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	130	8
2	1797	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 y (-.f64 x z) z)

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

Outputs

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

simplify46.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

463×	`fma-def_binary64`
284×	`fma-neg_binary64`
66×	`distribute-rgt-in_binary64`
53×	`cancel-sign-sub-inv_binary64`
45×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	267
1	63	264
2	123	264
3	205	264
4	377	264
5	773	264
6	1121	264
7	1408	264
8	1440	264
9	1442	264

Stop Event

1×

saturated

Counts

57 → 33

Calls

Call 1

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

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

eval41.0ms (1%)

Compiler: Compiled 2298 to 1120 computations (51.3% saved)

prune62.0ms (1.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	162	7	169
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	162	9	171

Error

Counts

171 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))
▶	25.1b	(*.f64 z (-.f64 1 y))
▶	0.0b	(fma.f64 y x (*.f64 z (-.f64 1 y)))
▶	38.5b	(*.f64 y x)
	37.6b	z
▶	13.3b	(+.f64 (*.f64 x y) z)
✓	0.0b	(fma.f64 y (-.f64 x z) z)
▶	26.3b	(*.f64 y (-.f64 x z))
	0.0b	(+.f64 (*.f64 y (-.f64 x z)) z)

Compiler

Compiled 127 to 82 computations (35.4% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y x (*.f64 z (-.f64 1 y)))
	0.0b	(*.f64 z (-.f64 1 y))

Compiler

Compiled 23 to 13 computations (43.5% saved)

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(fma.f64 y x (*.f64 z (-.f64 1 y)))
0.0ms	y	@	inf	(fma.f64 y x (*.f64 z (-.f64 1 y)))
0.0ms	x	@	inf	(fma.f64 y x (*.f64 z (-.f64 1 y)))
0.0ms	y	@	-inf	(fma.f64 y x (*.f64 z (-.f64 1 y)))
0.0ms	y	@	0	(fma.f64 y x (*.f64 z (-.f64 1 y)))

rewrite102.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

824×	`pow1_binary64`
760×	`add-log-exp_binary64`
760×	`log1p-expm1-u_binary64`
760×	`expm1-log1p-u_binary64`
744×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	162	11
2	2001	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 y x (*.f64 z (-.f64 1 y)))

Outputs

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

simplify50.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

315×	`fma-def_binary64`
264×	`fma-neg_binary64`
50×	`cancel-sign-sub-inv_binary64`
49×	`unsub-neg_binary64`
38×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	347
1	55	264
2	145	264
3	256	264
4	486	264
5	850	264
6	1149	264
7	1244	264
8	1247	264

Stop Event

1×

saturated

Counts

57 → 31

Calls

Call 1

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

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

localize3.0ms (0.1%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

9 calls:

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

rewrite85.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`pow1_binary64`
672×	`add-log-exp_binary64`
672×	`log1p-expm1-u_binary64`
672×	`expm1-log1p-u_binary64`
657×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1784	7

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify29.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

217×	`fma-def_binary64`
132×	`fma-neg_binary64`
41×	`cancel-sign-sub-inv_binary64`
25×	`distribute-rgt-in_binary64`
25×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	210
1	18	210
2	35	156
3	58	156
4	86	156
5	138	156
6	254	156
7	410	156
8	576	156
9	730	156
10	744	156

Stop Event

1×

saturated

Counts

43 → 25

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(*.f64 z (-.f64 1 y))

Compiler

Compiled 14 to 9 computations (35.7% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	(+.f64 (*.f64 x y) z)
0.0ms	x	@	0	(+.f64 (*.f64 x y) z)
0.0ms	x	@	inf	(+.f64 (*.f64 x y) z)
0.0ms	y	@	-inf	(+.f64 (*.f64 x y) z)
0.0ms	y	@	inf	(+.f64 (*.f64 x y) z)

rewrite72.0ms (1.7%)

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 x y) z)

Outputs

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

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	159
1	9	159
2	10	159

Stop Event

1×

saturated

Counts

71 → 38

Calls

Call 1

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

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

eval75.0ms (1.8%)

Compiler: Compiled 2111 to 1011 computations (52.1% saved)

prune38.0ms (0.9%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	193	5	198
Fresh	1	1	2
Picked	0	1	1
Done	2	4	6
Total	196	11	207

Error

Counts

207 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	13.3b	(+.f64 (*.f64 x y) z)
▶	25.1b	(-.f64 z (*.f64 z y))
✓	0.0b	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))
✓	25.1b	(*.f64 z (-.f64 1 y))
▶	13.3b	(fma.f64 y x z)
✓	26.3b	(*.f64 y (-.f64 x z))
✓	38.5b	(*.f64 y x)
	37.6b	z
▶	50.5b	(*.f64 y (neg.f64 z))
▶	0.0b	(+.f64 (*.f64 y (-.f64 x z)) z)
▶	26.3b	(fma.f64 y x (*.f64 y (neg.f64 z)))

Compiler

Compiled 130 to 83 computations (36.2% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series3.0ms (0.1%)

Counts

1 → 27

Calls

9 calls:

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

rewrite71.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

951×	`pow1_binary64`
883×	`add-log-exp_binary64`
883×	`log1p-expm1-u_binary64`
883×	`expm1-log1p-u_binary64`
864×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	159	8
2	2348	8

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify80.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

463×	`fma-def_binary64`
288×	`fma-neg_binary64`
66×	`distribute-rgt-in_binary64`
53×	`cancel-sign-sub-inv_binary64`
45×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	267
1	60	228
2	120	192
3	204	192
4	376	192
5	776	192
6	1129	192
7	1416	192
8	1448	192
9	1450	192

Stop Event

1×

saturated

Counts

62 → 46

Calls

Call 1

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

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

localize4.0ms (0.1%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series6.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	z	@	-inf	(-.f64 z (*.f64 z y))
2.0ms	z	@	inf	(-.f64 z (*.f64 z y))
1.0ms	z	@	0	(-.f64 z (*.f64 z y))
0.0ms	y	@	-inf	(-.f64 z (*.f64 z y))
0.0ms	y	@	0	(-.f64 z (*.f64 z y))

rewrite61.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`pow1_binary64`
604×	`add-log-exp_binary64`
604×	`log1p-expm1-u_binary64`
604×	`expm1-log1p-u_binary64`
591×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	113	7
2	1650	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify26.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

145×	`fma-def_binary64`
71×	`fma-neg_binary64`
21×	`cancel-sign-sub-inv_binary64`
19×	`associate-r_binary64`
18×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	160
1	27	160
2	49	160
3	88	160
4	136	160
5	223	160
6	371	160
7	450	160
8	518	160
9	524	160

Stop Event

1×

saturated

Counts

62 → 44

Calls

Call 1

Inputs
(*.f64 z (-.f64 1 y))
(*.f64 z (-.f64 1 y))
(*.f64 z (-.f64 1 y))
(*.f64 z (-.f64 1 y))
(*.f64 z (-.f64 1 y))
(*.f64 z (-.f64 1 y))
(*.f64 z (-.f64 1 y))
(*.f64 z (-.f64 1 y))
(.f64 (+.f64 1 (.f64 -1 y)) z)
(.f64 (+.f64 1 (.f64 -1 y)) z)
(.f64 (+.f64 1 (.f64 -1 y)) z)
(.f64 (+.f64 1 (.f64 -1 y)) z)
z
(+.f64 (.f64 -1 (.f64 y z)) z)
(+.f64 (.f64 -1 (.f64 y z)) z)
(+.f64 (.f64 -1 (.f64 y z)) z)
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) z)
(+.f64 (.f64 -1 (.f64 y z)) z)
(+.f64 (.f64 -1 (.f64 y z)) z)
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) z)
(+.f64 (.f64 -1 (.f64 y z)) z)
(+.f64 (.f64 -1 (.f64 y z)) z)

Outputs
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(fma.f64 z (neg.f64 y) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(fma.f64 z (neg.f64 y) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(fma.f64 z (neg.f64 y) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(fma.f64 z (neg.f64 y) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(fma.f64 z (neg.f64 y) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(fma.f64 z (neg.f64 y) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(fma.f64 z (neg.f64 y) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(fma.f64 z (neg.f64 y) z)
(.f64 (+.f64 1 (.f64 -1 y)) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(fma.f64 z (neg.f64 y) z)
(.f64 (+.f64 1 (.f64 -1 y)) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(fma.f64 z (neg.f64 y) z)
(.f64 (+.f64 1 (.f64 -1 y)) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(fma.f64 z (neg.f64 y) z)
(.f64 (+.f64 1 (.f64 -1 y)) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(fma.f64 z (neg.f64 y) z)
z
(+.f64 (.f64 -1 (.f64 y z)) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(fma.f64 z (neg.f64 y) z)
(+.f64 (.f64 -1 (.f64 y z)) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(fma.f64 z (neg.f64 y) z)
(+.f64 (.f64 -1 (.f64 y z)) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(fma.f64 z (neg.f64 y) z)
(.f64 -1 (.f64 y z))
(*.f64 (neg.f64 y) z)
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 -1 (.f64 y z)) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(fma.f64 z (neg.f64 y) z)
(+.f64 (.f64 -1 (.f64 y z)) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(fma.f64 z (neg.f64 y) z)
(+.f64 (.f64 -1 (.f64 y z)) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(fma.f64 z (neg.f64 y) z)
(.f64 -1 (.f64 y z))
(*.f64 (neg.f64 y) z)
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 -1 (.f64 y z)) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(fma.f64 z (neg.f64 y) z)
(+.f64 (.f64 -1 (.f64 y z)) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(fma.f64 z (neg.f64 y) z)
(+.f64 (.f64 -1 (.f64 y z)) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(fma.f64 z (neg.f64 y) z)

localize4.0ms (0.1%)

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

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite54.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

607×	`pow1_binary64`
556×	`add-log-exp_binary64`
555×	`log1p-expm1-u_binary64`
555×	`expm1-log1p-u_binary64`
543×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	143	7
2	1815	7

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify33.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

142×	`fma-def_binary64`
108×	`fma-neg_binary64`
32×	`unsub-neg_binary64`
30×	`cancel-sign-sub-inv_binary64`
28×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	270
1	48	240
2	100	240
3	174	240
4	310	240
5	487	240
6	601	240
7	642	240

Stop Event

1×

saturated

Counts

59 → 31

Calls

Call 1

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

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

eval27.0ms (0.7%)

Compiler: Compiled 1673 to 525 computations (68.6% saved)

prune45.0ms (1.1%)

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	1	0	1
Picked	0	1	1
Done	0	9	9
Total	146	11	157

Error

Counts

157 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	13.3b	(+.f64 (*.f64 x y) z)
✓	25.1b	(-.f64 z (*.f64 z y))
✓	0.0b	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))
✓	25.1b	(*.f64 z (-.f64 1 y))
✓	13.3b	(fma.f64 y x z)
✓	26.3b	(*.f64 y (-.f64 x z))
	37.6b	z
✓	50.5b	(*.f64 y (neg.f64 z))
✓	0.0b	(+.f64 (*.f64 y (-.f64 x z)) z)
✓	38.5b	(*.f64 y x)
✓	26.3b	(fma.f64 y x (*.f64 y (neg.f64 z)))

Compiler

Compiled 88 to 57 computations (35.2% saved)

eval0.0ms (0%)

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

prune5.0ms (0.1%)

Pruning

11 alts after pruning (1 fresh and 10 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	10	10
Total	11	11

Error

Counts

11 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	13.3b	(+.f64 (*.f64 x y) z)
✓	25.1b	(-.f64 z (*.f64 z y))
✓	0.0b	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))
✓	25.1b	(*.f64 z (-.f64 1 y))
✓	13.3b	(fma.f64 y x z)
✓	26.3b	(*.f64 y (-.f64 x z))
	37.6b	z
✓	50.5b	(*.f64 y (neg.f64 z))
✓	0.0b	(+.f64 (*.f64 y (-.f64 x z)) z)
✓	38.5b	(*.f64 y x)
✓	26.3b	(fma.f64 y x (*.f64 y (neg.f64 z)))

Compiler

Compiled 88 to 57 computations (35.2% saved)

regimes38.0ms (0.9%)

Counts

15 → 1

Calls

Call 1

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

Outputs
(fma.f64 y (-.f64 x z) z)

Calls

4 calls:

9.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))
9.0ms	x
9.0ms	z
8.0ms	y

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))`

Compiler

Compiled 98 to 44 computations (55.1% saved)

regimes72.0ms (1.7%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

45.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))
10.0ms	x
7.0ms	y
7.0ms	z

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))`

Compiler

Compiled 77 to 38 computations (50.6% saved)

regimes22.0ms (0.5%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	y
6.0ms	x
6.0ms	z

Results

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

Compiler

Compiled 52 to 25 computations (51.9% saved)

regimes56.0ms (1.3%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	z
17.0ms	x
17.0ms	y

Results

Error	Segments	Branch
6.1b	3	`x`
1.3b	3	`y`
7.8b	3	`z`

Compiler

Compiled 45 to 24 computations (46.7% saved)

bsearch39.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.017608957232609794	0.05097181937537825
20.0ms	-22.024248586880475	-8.784996910833667e-10

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes94.0ms (2.3%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

26.0ms	y
16.0ms	z
15.0ms	x

Results

Error	Segments	Branch
6.1b	3	`x`
8.6b	5	`y`
7.8b	3	`z`

Compiler

Compiled 40 to 22 computations (45% saved)

bsearch36.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	2.1477110863489958e-150	5.338613466154474e-146
18.0ms	-6.279646425765631e-57	-1.3051463522805163e-58

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes149.0ms (3.6%)

Counts

7 → 5

Calls

Call 1

Inputs
z
z
z
(*.f64 y x)
(*.f64 y (neg.f64 z))
(-.f64 z (*.f64 z y))
(*.f64 z (-.f64 1 y))

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

Calls

3 calls:

65.0ms	y
63.0ms	z
19.0ms	x

Results

Error	Segments	Branch
18.6b	3	`x`
18.2b	9	`y`
12.7b	5	`z`

Compiler

Compiled 35 to 20 computations (42.9% saved)

bsearch104.0ms (2.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
29.0ms	3.335730456448821e-76	9.068961032149335e-71
17.0ms	-1.91329596511521e-182	-1.9415542697624458e-184
39.0ms	-4.7189083174769613e-125	-1.7756613356380775e-127
18.0ms	-3.985721612213249e-62	-8.192255993401645e-75

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes91.0ms (2.2%)

Counts

6 → 5

Calls

Call 1

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

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

Calls

3 calls:

42.0ms	y
28.0ms	z
19.0ms	x

Results

Error	Segments	Branch
18.6b	3	`x`
18.2b	9	`y`
12.8b	5	`z`

Compiler

Compiled 30 to 17 computations (43.3% saved)

bsearch89.0ms (2.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
18.0ms	3.335730456448821e-76	9.068961032149335e-71
18.0ms	-1.91329596511521e-182	-1.9415542697624458e-184
17.0ms	-4.7189083174769613e-125	-1.7756613356380775e-127
36.0ms	-3.985721612213249e-62	-8.192255993401645e-75

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes128.0ms (3.1%)

Counts

5 → 9

Calls

Call 1

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

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

Calls

3 calls:

58.0ms	y
42.0ms	z
26.0ms	x

Results

Error	Segments	Branch
27.9b	5	`x`
18.5b	9	`y`
22.9b	5	`z`

Compiler

Compiled 25 to 15 computations (40% saved)

bsearch274.0ms (6.6%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
37.0ms	3.5275787229570396e+152	3.1478357981191272e+183
18.0ms	3.0452335094749948e-12	7.998743508913712e-9
18.0ms	3.595485129602634e-60	2.0745922765786896e-54
25.0ms	4.5286516582900093e-94	1.1968202719762068e-72
19.0ms	-4.550082791497305e-45	-6.947788099005689e-49
81.0ms	-2.1671502624740188e+62	-7.175466222986964e+57
54.0ms	-6.7383974435752864e+97	-1.2793098543419597e+97
21.0ms	-1.483696465930307e+189	-2.2270003866894338e+185

Compiler

Compiled 513 to 376 computations (26.7% saved)

regimes52.0ms (1.3%)

Counts

4 → 5

Calls

Call 1

Inputs
z
z
z
(*.f64 y x)

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

Calls

3 calls:

20.0ms	y
16.0ms	x
15.0ms	z

Results

Error	Segments	Branch
29.2b	3	`x`
23.3b	5	`y`
24.1b	3	`z`

Compiler

Compiled 21 to 13 computations (38.1% saved)

bsearch75.0ms (1.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
18.0ms	3.0452335094749948e-12	7.998743508913712e-9
18.0ms	3.595485129602634e-60	2.0745922765786896e-54
19.0ms	4.5286516582900093e-94	1.1968202719762068e-72
19.0ms	-4.550082791497305e-45	-6.947788099005689e-49

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes14.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs
z
z
z

Outputs
z

Calls

3 calls:

5.0ms	x
4.0ms	y
3.0ms	z

Results

Error	Segments	Branch
37.6b	1	`x`
37.6b	1	`y`
37.6b	1	`z`

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify19.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64`
8×	`*-commutative_binary64`
6×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	326
1	98	326
2	110	326
3	115	326
4	117	326

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 y (-.f64 x z) z)
(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y (-.f64 x z)) z)
(if (<=.f64 y -774909357257735/35184372088832) (.f64 y (-.f64 x z)) (if (<=.f64 y 2537718183397263/144115188075855872) (+.f64 (.f64 x y) z) (*.f64 y (-.f64 x z))))
(if (<=.f64 x -5547587427605039/883423532389192164791648750371459257913741948437809479060803100646309888) (+.f64 (.f64 x y) z) (if (<=.f64 x 7915411073490003/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624) (.f64 z (-.f64 1 y)) (+.f64 (*.f64 x y) z)))
(if (<=.f64 z -4615150325964963/115792089237316195423570985008687907853269984665640564039457584007913129639936) (-.f64 z (.f64 z y)) (if (<=.f64 z -280976203902393/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952) (.f64 y x) (if (<=.f64 z -5720833539948081/299004108316488185848867822351174292268202623451041623610437960853046897358187881202051502002495252055893102400215083077513294952620060704653486412249315029041282722978874323768631243063073425063936) (-.f64 z (.f64 z y)) (if (<=.f64 z 1359000589428181/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (.f64 y x) (*.f64 z (-.f64 1 y))))))
(if (<=.f64 z -4615150325964963/115792089237316195423570985008687907853269984665640564039457584007913129639936) (-.f64 z (.f64 z y)) (if (<=.f64 z -280976203902393/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952) (.f64 y x) (if (<=.f64 z -5720833539948081/299004108316488185848867822351174292268202623451041623610437960853046897358187881202051502002495252055893102400215083077513294952620060704653486412249315029041282722978874323768631243063073425063936) (-.f64 z (.f64 z y)) (if (<=.f64 z 1359000589428181/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (.f64 y x) (-.f64 z (*.f64 z y))))))
(if (<=.f64 y -225000000000000010509684637255751322465322450623114935382902108431187615831576450740635224943434504987192465773751723892622289818771065157924089845181188318431706498092729050429116121088) (.f64 y (neg.f64 z)) (if (<=.f64 y -66999999999999998479315741578412683476483753919623840843830790148749782107066282642533919225806848) (.f64 y x) (if (<=.f64 y -3299999999999999761615161845046268208065730063869496422039552) (.f64 y (neg.f64 z)) (if (<=.f64 y -3655850571092583/803469022129495137770981046170581301261101496891396417650688) (.f64 y x) (if (<=.f64 y 8508585009634737/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808) z (if (<=.f64 y 813142060504671/226156424291633194186662080095093570025917938800079226639565593765455331328) (.f64 y x) (if (<=.f64 y 7539632980705263/2475880078570760549798248448) z (if (<=.f64 y 359999999999999988739782276303813509310380357722887559390971167531567678704383094787631648021452074749426437413241968594029002001637957820156404693991424) (.f64 y x) (*.f64 y (neg.f64 z))))))))))
(if (<=.f64 y -3655850571092583/803469022129495137770981046170581301261101496891396417650688) (.f64 y x) (if (<=.f64 y 8508585009634737/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808) z (if (<=.f64 y 813142060504671/226156424291633194186662080095093570025917938800079226639565593765455331328) (.f64 y x) (if (<=.f64 y 7539632980705263/2475880078570760549798248448) z (*.f64 y x)))))
z

Outputs
(fma.f64 y (-.f64 x z) z)
(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))
(+.f64 (.f64 z (-.f64 1 y)) (.f64 y x))
(+.f64 (*.f64 y (-.f64 x z)) z)
(+.f64 z (*.f64 y (-.f64 x z)))
(if (<=.f64 y -774909357257735/35184372088832) (.f64 y (-.f64 x z)) (if (<=.f64 y 2537718183397263/144115188075855872) (+.f64 (.f64 x y) z) (*.f64 y (-.f64 x z))))
(if (<=.f64 y -774909357257735/35184372088832) (.f64 y (-.f64 x z)) (if (<=.f64 y 2537718183397263/144115188075855872) (+.f64 z (.f64 y x)) (*.f64 y (-.f64 x z))))
(if (<=.f64 x -5547587427605039/883423532389192164791648750371459257913741948437809479060803100646309888) (+.f64 (.f64 x y) z) (if (<=.f64 x 7915411073490003/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624) (.f64 z (-.f64 1 y)) (+.f64 (*.f64 x y) z)))
(if (<=.f64 x -5547587427605039/883423532389192164791648750371459257913741948437809479060803100646309888) (+.f64 z (.f64 y x)) (if (<=.f64 x 7915411073490003/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624) (.f64 z (-.f64 1 y)) (+.f64 z (*.f64 y x))))
(if (<=.f64 z -4615150325964963/115792089237316195423570985008687907853269984665640564039457584007913129639936) (-.f64 z (.f64 z y)) (if (<=.f64 z -280976203902393/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952) (.f64 y x) (if (<=.f64 z -5720833539948081/299004108316488185848867822351174292268202623451041623610437960853046897358187881202051502002495252055893102400215083077513294952620060704653486412249315029041282722978874323768631243063073425063936) (-.f64 z (.f64 z y)) (if (<=.f64 z 1359000589428181/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (.f64 y x) (*.f64 z (-.f64 1 y))))))
(if (<=.f64 z -4615150325964963/115792089237316195423570985008687907853269984665640564039457584007913129639936) (-.f64 z (.f64 y z)) (if (<=.f64 z -280976203902393/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952) (.f64 y x) (if (<=.f64 z -5720833539948081/299004108316488185848867822351174292268202623451041623610437960853046897358187881202051502002495252055893102400215083077513294952620060704653486412249315029041282722978874323768631243063073425063936) (-.f64 z (.f64 y z)) (if (<=.f64 z 1359000589428181/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (.f64 y x) (*.f64 z (-.f64 1 y))))))
(if (<=.f64 z -4615150325964963/115792089237316195423570985008687907853269984665640564039457584007913129639936) (-.f64 z (.f64 z y)) (if (<=.f64 z -280976203902393/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952) (.f64 y x) (if (<=.f64 z -5720833539948081/299004108316488185848867822351174292268202623451041623610437960853046897358187881202051502002495252055893102400215083077513294952620060704653486412249315029041282722978874323768631243063073425063936) (-.f64 z (.f64 z y)) (if (<=.f64 z 1359000589428181/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (.f64 y x) (-.f64 z (*.f64 z y))))))
(if (<=.f64 z -4615150325964963/115792089237316195423570985008687907853269984665640564039457584007913129639936) (-.f64 z (.f64 y z)) (if (<=.f64 z -280976203902393/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952) (.f64 y x) (if (<=.f64 z -5720833539948081/299004108316488185848867822351174292268202623451041623610437960853046897358187881202051502002495252055893102400215083077513294952620060704653486412249315029041282722978874323768631243063073425063936) (-.f64 z (.f64 y z)) (if (<=.f64 z 1359000589428181/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (.f64 y x) (-.f64 z (*.f64 y z))))))
(if (<=.f64 y -225000000000000010509684637255751322465322450623114935382902108431187615831576450740635224943434504987192465773751723892622289818771065157924089845181188318431706498092729050429116121088) (.f64 y (neg.f64 z)) (if (<=.f64 y -66999999999999998479315741578412683476483753919623840843830790148749782107066282642533919225806848) (.f64 y x) (if (<=.f64 y -3299999999999999761615161845046268208065730063869496422039552) (.f64 y (neg.f64 z)) (if (<=.f64 y -3655850571092583/803469022129495137770981046170581301261101496891396417650688) (.f64 y x) (if (<=.f64 y 8508585009634737/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808) z (if (<=.f64 y 813142060504671/226156424291633194186662080095093570025917938800079226639565593765455331328) (.f64 y x) (if (<=.f64 y 7539632980705263/2475880078570760549798248448) z (if (<=.f64 y 359999999999999988739782276303813509310380357722887559390971167531567678704383094787631648021452074749426437413241968594029002001637957820156404693991424) (.f64 y x) (*.f64 y (neg.f64 z))))))))))
(if (<=.f64 y -3655850571092583/803469022129495137770981046170581301261101496891396417650688) (.f64 y x) (if (<=.f64 y 8508585009634737/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808) z (if (<=.f64 y 813142060504671/226156424291633194186662080095093570025917938800079226639565593765455331328) (.f64 y x) (if (<=.f64 y 7539632980705263/2475880078570760549798248448) z (*.f64 y x)))))
z

Compiler

Compiled 258 to 134 computations (48.1% saved)

soundness77.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

354×	`fma-def_binary64`
246×	`fma-neg_binary64`
54×	`cancel-sign-sub-inv_binary64`
44×	`distribute-rgt-in_binary64`
42×	`associate--r+_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	17	11
2	30	11
3	57	11
4	126	9
5	218	8
6	347	8
7	558	8
8	969	8
9	1154	8
10	1214	8
11	1224	8

Stop Event

1×

saturated

Compiler

Compiled 184 to 118 computations (35.9% saved)

end85.0ms (2.1%)

Compiler: Compiled 231 to 95 computations (58.9% saved)

Iter	Nodes	Cost
0	10	210
1	18	210
2	35	156
3	58	156
4	86	156
5	138	156
6	254	156
7	410	156
8	576	156
9	730	156
10	744	156

Iter	Nodes	Cost
0	13	160
1	27	160
2	49	160
3	88	160
4	136	160
5	223	160
6	371	160
7	450	160
8	518	160
9	524	160

Iter	Nodes	Cost
0	10	210
1	18	210
2	35	156
3	58	156
4	86	156
5	138	156
6	254	156
7	410	156
8	576	156
9	730	156
10	744	156

Iter	Nodes	Cost
0	13	160
1	27	160
2	49	160
3	88	160
4	136	160
5	223	160
6	371	160
7	450	160
8	518	160
9	524	160

Details

analyze198.0ms (4.8%)

sample977.0ms (23.7%)

preprocess101.0ms (2.5%)

simplify34.0ms (0.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.2%)

series8.0ms (0.2%)

rewrite75.0ms (1.8%)

simplify47.0ms (1.1%)

localize6.0ms (0.2%)

series5.0ms (0.1%)

rewrite57.0ms (1.4%)

simplify46.0ms (1.1%)

eval41.0ms (1%)

prune62.0ms (1.5%)

localize9.0ms (0.2%)

series3.0ms (0.1%)

rewrite102.0ms (2.5%)

simplify50.0ms (1.2%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

series3.0ms (0.1%)

rewrite85.0ms (2.1%)

simplify29.0ms (0.7%)

localize6.0ms (0.1%)

localize5.0ms (0.1%)

series4.0ms (0.1%)

rewrite72.0ms (1.7%)

simplify13.0ms (0.3%)

eval75.0ms (1.8%)

prune38.0ms (0.9%)

localize8.0ms (0.2%)

series3.0ms (0.1%)

rewrite71.0ms (1.7%)

simplify80.0ms (1.9%)

localize4.0ms (0.1%)

localize5.0ms (0.1%)

series6.0ms (0.2%)

rewrite61.0ms (1.5%)

simplify26.0ms (0.6%)

localize4.0ms (0.1%)

localize8.0ms (0.2%)

series4.0ms (0.1%)

rewrite54.0ms (1.3%)

simplify33.0ms (0.8%)

eval27.0ms (0.7%)

prune45.0ms (1.1%)

eval0.0ms (0%)

prune5.0ms (0.1%)

regimes38.0ms (0.9%)

regimes72.0ms (1.7%)

regimes22.0ms (0.5%)

regimes56.0ms (1.3%)

bsearch39.0ms (0.9%)

regimes94.0ms (2.3%)

bsearch36.0ms (0.9%)

regimes149.0ms (3.6%)

bsearch104.0ms (2.5%)

regimes91.0ms (2.2%)

bsearch89.0ms (2.1%)

regimes128.0ms (3.1%)

bsearch274.0ms (6.6%)

regimes52.0ms (1.3%)

bsearch75.0ms (1.8%)

regimes14.0ms (0.3%)

simplify19.0ms (0.5%)

soundness77.0ms (1.9%)

end85.0ms (2.1%)

Profiling

Iter	Nodes	Cost
0	10	210
1	18	210
2	35	156
3	58	156
4	86	156
5	138	156
6	254	156
7	410	156
8	576	156
9	730	156
10	744	156

Iter	Nodes	Cost
0	13	160
1	27	160
2	49	160
3	88	160
4	136	160
5	223	160
6	371	160
7	450	160
8	518	160
9	524	160