Details

analyze416.0ms (11.5%)

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
41.3%	51.5%	7.2%	11
46.8%	44.1%	9.1%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.0s (28.6%)

Results

893.0ms	8256×	body	256	valid
128.0ms	1228×	body	256	invalid

preprocess62.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

768×	`fma-neg_binary64`
441×	`fma-def_binary64`
168×	`cancel-sign-sub-inv_binary64`
131×	`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	1131	32
7	1847	32
8	2461	32
9	2759	32
10	2834	32
11	2835	32
12	2835	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 (-.f64 1 x) z))
(+.f64 (.f64 y x) (.f64 (-.f64 1 y) z))
(+.f64 (.f64 z y) (.f64 (-.f64 1 z) x))
(+.f64 (.f64 x z) (.f64 (-.f64 1 x) y))

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify22.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

354×	`fma-def_binary64`
246×	`fma-neg_binary64`
51×	`cancel-sign-sub-inv_binary64`
45×	`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	346	8
7	557	8
8	967	8
9	1146	8
10	1206	8
11	1216	8

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

Outputs
(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
(fma.f64 x y (*.f64 (-.f64 1 x) z))
(fma.f64 (-.f64 1 x) z (*.f64 x y))
(fma.f64 x (fma.f64 z -1 y) z)
(fma.f64 x (-.f64 y 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 x (-.f64 y z) z)
▶	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series10.0ms (0.3%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	z	@	-inf	(*.f64 (-.f64 1 x) z)
1.0ms	x	@	inf	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
1.0ms	y	@	0	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
1.0ms	x	@	0	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
1.0ms	x	@	-inf	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))

rewrite62.0ms (1.7%)

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	2617	18

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

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

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

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

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

simplify37.0ms (1%)

Algorithm

1×	egg-herbie

Rules

345×	`fma-def_binary64`
247×	`fma-neg_binary64`
49×	`cancel-sign-sub-inv_binary64`
45×	`unsub-neg_binary64`
40×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	453
1	58	424
2	125	424
3	252	424
4	524	424
5	882	424
6	1149	424
7	1218	424
8	1220	424

Stop Event

1×

saturated

Counts

182 → 137

Calls

Call 1

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

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

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite47.0ms (1.3%)

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	1793	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify33.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

400×	`fma-def_binary64`
300×	`fma-neg_binary64`
64×	`cancel-sign-sub-inv_binary64`
59×	`distribute-rgt-in_binary64`
42×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	267
1	56	264
2	109	264
3	188	264
4	347	264
5	648	264
6	1030	264
7	1269	264
8	1388	264
9	1390	264

Stop Event

1×

saturated

Counts

57 → 33

Calls

Call 1

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

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

eval41.0ms (1.1%)

Compiler: Compiled 2297 to 1172 computations (49% saved)

prune32.0ms (0.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	163	7	170
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	164	8	172

Error

Counts

172 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	0.0b	(fma.f64 z (-.f64 1 x) (*.f64 x y))
	35.5b	z
▶	24.7b	(-.f64 z (*.f64 z x))
▶	24.7b	(*.f64 z (-.f64 1 x))
▶	0.0b	(+.f64 z (*.f64 x (-.f64 y z)))
✓	0.0b	(fma.f64 x (-.f64 y z) z)
▶	38.6b	(*.f64 y x)
▶	27.3b	(*.f64 (-.f64 y z) x)

Compiler

Compiled 115 to 74 computations (35.7% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series8.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

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

rewrite53.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

969×	`pow1_binary64`
901×	`add-log-exp_binary64`
901×	`log1p-expm1-u_binary64`
901×	`expm1-log1p-u_binary64`
87×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	158	15
2	2364	15

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify42.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

401×	`fma-def_binary64`
300×	`fma-neg_binary64`
64×	`cancel-sign-sub-inv_binary64`
58×	`distribute-rgt-in_binary64`
42×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	645
1	63	585
2	119	504
3	192	504
4	351	504
5	655	504
6	1037	504
7	1276	504
8	1395	504
9	1397	504

Stop Event

1×

saturated

Counts

126 → 69

Calls

Call 1

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

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

localize2.0ms (0.1%)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series3.0ms (0.1%)

Counts

1 → 24

Calls

9 calls:

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

rewrite43.0ms (1.2%)

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	1780	7

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify21.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	210
1	17	192
2	39	156
3	57	156
4	81	156
5	133	156
6	249	156
7	406	156
8	574	156
9	728	156
10	742	156

Stop Event

1×

saturated

Counts

43 → 25

Calls

Call 1

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

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

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series2.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite40.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

617×	`pow1_binary64`
572×	`add-log-exp_binary64`
572×	`log1p-expm1-u_binary64`
572×	`expm1-log1p-u_binary64`
561×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	122	7
2	1509	7

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

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

simplify15.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

133×	`fma-def_binary64`
90×	`fma-neg_binary64`
20×	`cancel-sign-sub-inv_binary64`
19×	`associate-r_binary64`
18×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	85
1	14	76
2	30	76
3	46	76
4	64	76
5	128	76
6	242	76
7	349	76
8	444	76
9	520	76

Stop Event

1×

saturated

Counts

29 → 23

Calls

Call 1

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

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

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite43.0ms (1.2%)

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	1644	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify20.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

136×	`fma-def_binary64`
71×	`fma-neg_binary64`
20×	`cancel-sign-sub-inv_binary64`
19×	`sub-neg_binary64`
16×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	160
1	28	160
2	47	160
3	76	160
4	124	160
5	211	160
6	349	160
7	429	160
8	496	160
9	502	160

Stop Event

1×

saturated

Counts

62 → 45

Calls

Call 1

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

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

eval29.0ms (0.8%)

Compiler: Compiled 1769 to 585 computations (66.9% saved)

prune27.0ms (0.7%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	159	3	162
Fresh	1	1	2
Picked	0	1	1
Done	1	4	5
Total	161	9	170

Error

Counts

170 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(fma.f64 z (-.f64 1 x) (*.f64 x y))
	35.5b	z
✓	0.0b	(fma.f64 x (-.f64 y z) z)
▶	11.6b	(+.f64 z (*.f64 y x))
▶	51.3b	(*.f64 z (neg.f64 x))
✓	38.6b	(*.f64 y x)
✓	24.7b	(-.f64 z (*.f64 z x))
✓	24.7b	(*.f64 z (-.f64 1 x))
✓	27.3b	(*.f64 (-.f64 y z) x)

Compiler

Compiled 69 to 45 computations (34.8% saved)

localize3.0ms (0.1%)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite46.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`pow1_binary64`
661×	`add-log-exp_binary64`
661×	`log1p-expm1-u_binary64`
661×	`expm1-log1p-u_binary64`
646×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	5
2	1776	5

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify10.0ms (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
(*.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)
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)

Outputs
(*.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)
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)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite44.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

822×	`pow1_binary64`
758×	`add-log-exp_binary64`
758×	`log1p-expm1-u_binary64`
758×	`expm1-log1p-u_binary64`
742×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	162	11
2	1995	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify28.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

311×	`fma-def_binary64`
267×	`fma-neg_binary64`
50×	`cancel-sign-sub-inv_binary64`
43×	`distribute-rgt-in_binary64`
42×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	347
1	50	345
2	125	264
3	228	264
4	474	264
5	838	264
6	1134	264
7	1237	264
8	1240	264

Stop Event

1×

saturated

Counts

57 → 32

Calls

Call 1

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

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

eval14.0ms (0.4%)

Compiler: Compiled 782 to 333 computations (57.4% saved)

prune14.0ms (0.4%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	1	0	1
Picked	0	1	1
Done	1	6	7
Total	70	9	79

Error

Counts

79 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	51.3b	(*.f64 z (neg.f64 x))
▶	11.6b	(fma.f64 x y z)
✓	38.6b	(*.f64 y x)
✓	0.0b	(fma.f64 z (-.f64 1 x) (*.f64 x y))
✓	24.7b	(-.f64 z (*.f64 z x))
✓	24.7b	(*.f64 z (-.f64 1 x))
✓	11.6b	(+.f64 z (*.f64 y x))
	35.5b	z
✓	27.3b	(*.f64 (-.f64 y z) x)

Compiler

Compiled 67 to 44 computations (34.3% saved)

localize3.0ms (0.1%)

eval0.0ms (0%)

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

prune4.0ms (0.1%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	7	7
Total	9	9

Error

Counts

9 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	51.3b	(*.f64 z (neg.f64 x))
✓	11.6b	(fma.f64 x y z)
✓	38.6b	(*.f64 y x)
✓	0.0b	(fma.f64 z (-.f64 1 x) (*.f64 x y))
✓	24.7b	(-.f64 z (*.f64 z x))
✓	24.7b	(*.f64 z (-.f64 1 x))
✓	11.6b	(+.f64 z (*.f64 y x))
	35.5b	z
✓	27.3b	(*.f64 (-.f64 y z) x)

Compiler

Compiled 67 to 44 computations (34.3% saved)

regimes43.0ms (1.2%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

4 calls:

13.0ms	x
10.0ms	y
9.0ms	z
8.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) 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 (-.f64 1 x) z))`

Compiler

Compiled 91 to 43 computations (52.7% saved)

regimes84.0ms (2.3%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

42.0ms	y
24.0ms	z
8.0ms	x
8.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) 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 (-.f64 1 x) z))`

Compiler

Compiled 77 to 39 computations (49.4% saved)

regimes94.0ms (2.6%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

62.0ms	y
19.0ms	x
11.0ms	z

Results

Error	Segments	Branch
0.6b	3	`x`
6.8b	5	`y`
9.4b	2	`z`

Compiler

Compiled 45 to 23 computations (48.9% saved)

bsearch53.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	1.3048847798148325e-14	1001708.156197047
34.0ms	-151.9358696265468	-1.2428989677863695e-7

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes55.0ms (1.5%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

23.0ms	y
17.0ms	x
12.0ms	z

Results

Error	Segments	Branch
10.4b	3	`x`
8.1b	3	`y`
9.4b	2	`z`

Compiler

Compiled 40 to 21 computations (47.5% saved)

bsearch41.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	2.0844511696676437e-150	2.946994573410493e-149
21.0ms	-2.8242493482857007e-129	-1.726020161536047e-142

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes85.0ms (2.4%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

56.0ms	y
18.0ms	x
10.0ms	z

Results

Error	Segments	Branch
10.4b	3	`x`
8.1b	3	`y`
9.4b	2	`z`

Compiler

Compiled 35 to 18 computations (48.6% saved)

bsearch115.0ms (3.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
52.0ms	2.0844511696676437e-150	2.946994573410493e-149
62.0ms	-2.8242493482857007e-129	-1.726020161536047e-142

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes26.0ms (0.7%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	x
5.0ms	y
5.0ms	z

Results

Error	Segments	Branch
10.4b	3	`x`
11.6b	1	`y`
11.6b	1	`z`

Compiler

Compiled 30 to 16 computations (46.7% saved)

bsearch175.0ms (4.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	4.9657963851101936e+95	6.405040872451283e+97
147.0ms	1.3205601877273657e+50	2.1111221244696099e+55

Compiler

Compiled 276 to 198 computations (28.3% saved)

regimes99.0ms (2.7%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

3 calls:

44.0ms	z
34.0ms	y
20.0ms	x

Results

Error	Segments	Branch
21.2b	5	`x`
24.4b	7	`y`
24.3b	3	`z`

Compiler

Compiled 25 to 15 computations (40% saved)

bsearch180.0ms (5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
43.0ms	4.9657963851101936e+95	6.405040872451283e+97
79.0ms	1.3205601877273657e+50	2.1111221244696099e+55
40.0ms	2.637579584658845e-71	3.94372468534798e-69
19.0ms	-151.9358696265468	-1.2428989677863695e-7

Compiler

Compiled 258 to 189 computations (26.7% saved)

regimes61.0ms (1.7%)

Counts

4 → 3

Calls

Call 1

Inputs
z
z
z
(*.f64 y x)

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

Calls

3 calls:

22.0ms	z
20.0ms	y
16.0ms	x

Results

Error	Segments	Branch
22.6b	3	`x`
25.6b	5	`y`
24.3b	3	`z`

Compiler

Compiled 21 to 13 computations (38.1% saved)

bsearch46.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	2.637579584658845e-71	3.94372468534798e-69
20.0ms	-2.788910637546426e-45	-8.956144082344078e-48

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes14.0ms (0.4%)

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	z
4.0ms	y

Results

Error	Segments	Branch
35.5b	1	`x`
35.5b	1	`y`
35.5b	1	`z`

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`+-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	50	213
1	70	213
2	80	213
3	85	213
4	87	213

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x (-.f64 y z) z)
(+.f64 z (*.f64 x (-.f64 y z)))
(if (<=.f64 x -5345768170580691/35184372088832) (.f64 (-.f64 y z) x) (if (<=.f64 x 8270689871804767/633825300114114700748351602688) (+.f64 z (.f64 y x)) (*.f64 (-.f64 y z) x)))
(if (<=.f64 y -8816596308741772/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (+.f64 z (.f64 y x)) (if (<=.f64 y 960283250817993/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328) (.f64 z (-.f64 1 x)) (+.f64 z (*.f64 y x))))
(if (<=.f64 y -8816596308741772/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (+.f64 z (.f64 y x)) (if (<=.f64 y 960283250817993/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328) (-.f64 z (.f64 z x)) (+.f64 z (*.f64 y x))))
(if (<=.f64 x 21000000000000000623275247733705730298288744002303819776) (+.f64 z (.f64 y x)) (if (<=.f64 x 64000000000000003191145854202169153088657183068061577700793147559167257542355572184605376982810624) (.f64 z (neg.f64 x)) (*.f64 y x)))
(if (<=.f64 x -5345768170580691/35184372088832) (.f64 z (neg.f64 x)) (if (<=.f64 x 13117296153309176/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) z (if (<=.f64 x 134999999999999999915595568404392197387210052337664) (.f64 y x) (if (<=.f64 x 64000000000000003191145854202169153088657183068061577700793147559167257542355572184605376982810624) (.f64 z (neg.f64 x)) (.f64 y x)))))
(if (<=.f64 x -8963213211023895/3213876088517980551083924184682325205044405987565585670602752) (.f64 y x) (if (<=.f64 x 13117296153309176/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) z (.f64 y x)))
z

Outputs
(fma.f64 x (-.f64 y z) z)
(+.f64 z (*.f64 x (-.f64 y z)))
(if (<=.f64 x -5345768170580691/35184372088832) (.f64 (-.f64 y z) x) (if (<=.f64 x 8270689871804767/633825300114114700748351602688) (+.f64 z (.f64 y x)) (*.f64 (-.f64 y z) x)))
(if (<=.f64 x -5345768170580691/35184372088832) (.f64 x (-.f64 y z)) (if (<=.f64 x 8270689871804767/633825300114114700748351602688) (+.f64 z (.f64 x y)) (*.f64 x (-.f64 y z))))
(if (<=.f64 y -8816596308741772/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (+.f64 z (.f64 y x)) (if (<=.f64 y 960283250817993/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328) (.f64 z (-.f64 1 x)) (+.f64 z (*.f64 y x))))
(if (<=.f64 y -2204149077185443/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544) (+.f64 z (.f64 x y)) (if (<=.f64 y 960283250817993/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328) (.f64 z (-.f64 1 x)) (+.f64 z (*.f64 x y))))
(if (<=.f64 y -8816596308741772/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (+.f64 z (.f64 y x)) (if (<=.f64 y 960283250817993/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328) (-.f64 z (.f64 z x)) (+.f64 z (*.f64 y x))))
(if (<=.f64 y -2204149077185443/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544) (+.f64 z (.f64 x y)) (if (<=.f64 y 960283250817993/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328) (-.f64 z (.f64 x z)) (+.f64 z (*.f64 x y))))
(if (<=.f64 x 21000000000000000623275247733705730298288744002303819776) (+.f64 z (.f64 y x)) (if (<=.f64 x 64000000000000003191145854202169153088657183068061577700793147559167257542355572184605376982810624) (.f64 z (neg.f64 x)) (*.f64 y x)))
(if (<=.f64 x 21000000000000000623275247733705730298288744002303819776) (+.f64 z (.f64 x y)) (if (<=.f64 x 64000000000000003191145854202169153088657183068061577700793147559167257542355572184605376982810624) (.f64 z (neg.f64 x)) (*.f64 x y)))
(if (<=.f64 x -5345768170580691/35184372088832) (.f64 z (neg.f64 x)) (if (<=.f64 x 13117296153309176/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) z (if (<=.f64 x 134999999999999999915595568404392197387210052337664) (.f64 y x) (if (<=.f64 x 64000000000000003191145854202169153088657183068061577700793147559167257542355572184605376982810624) (.f64 z (neg.f64 x)) (.f64 y x)))))
(if (<=.f64 x -5345768170580691/35184372088832) (.f64 z (neg.f64 x)) (if (<=.f64 x 1639662019163647/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) z (if (<=.f64 x 134999999999999999915595568404392197387210052337664) (.f64 x y) (if (<=.f64 x 64000000000000003191145854202169153088657183068061577700793147559167257542355572184605376982810624) (.f64 z (neg.f64 x)) (.f64 x y)))))
(if (<=.f64 x -8963213211023895/3213876088517980551083924184682325205044405987565585670602752) (.f64 y x) (if (<=.f64 x 13117296153309176/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) z (.f64 y x)))
(if (<=.f64 x -8963213211023895/3213876088517980551083924184682325205044405987565585670602752) (.f64 x y) (if (<=.f64 x 1639662019163647/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) z (.f64 x y)))
z

end77.0ms (2.1%)

Stop Event

1×

fuel

Compiler

Compiled 328 to 153 computations (53.4% saved)

Iter	Nodes	Cost
0	9	210
1	17	192
2	39	156
3	57	156
4	81	156
5	133	156
6	249	156
7	406	156
8	574	156
9	728	156
10	742	156

Iter	Nodes	Cost
0	14	160
1	28	160
2	47	160
3	76	160
4	124	160
5	211	160
6	349	160
7	429	160
8	496	160
9	502	160

Iter	Nodes	Cost
0	9	210
1	17	192
2	39	156
3	57	156
4	81	156
5	133	156
6	249	156
7	406	156
8	574	156
9	728	156
10	742	156

Iter	Nodes	Cost
0	14	160
1	28	160
2	47	160
3	76	160
4	124	160
5	211	160
6	349	160
7	429	160
8	496	160
9	502	160

Details

analyze416.0ms (11.5%)

sample1.0s (28.6%)

preprocess62.0ms (1.7%)

simplify22.0ms (0.6%)

eval1.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.2%)

series10.0ms (0.3%)

rewrite62.0ms (1.7%)

simplify37.0ms (1%)

localize7.0ms (0.2%)

series5.0ms (0.1%)

rewrite47.0ms (1.3%)

simplify33.0ms (0.9%)

eval41.0ms (1.1%)

prune32.0ms (0.9%)

localize6.0ms (0.2%)

series8.0ms (0.2%)

rewrite53.0ms (1.5%)

simplify42.0ms (1.2%)

localize2.0ms (0.1%)

localize4.0ms (0.1%)

series3.0ms (0.1%)

rewrite43.0ms (1.2%)

simplify21.0ms (0.6%)

localize3.0ms (0.1%)

series2.0ms (0%)

rewrite40.0ms (1.1%)

simplify15.0ms (0.4%)

localize3.0ms (0.1%)

series3.0ms (0.1%)

rewrite43.0ms (1.2%)

simplify20.0ms (0.6%)

eval29.0ms (0.8%)

prune27.0ms (0.7%)

localize3.0ms (0.1%)

localize4.0ms (0.1%)

series3.0ms (0.1%)

rewrite46.0ms (1.3%)

simplify10.0ms (0.3%)

localize6.0ms (0.2%)

series3.0ms (0.1%)

rewrite44.0ms (1.2%)

simplify28.0ms (0.8%)

eval14.0ms (0.4%)

prune14.0ms (0.4%)

localize3.0ms (0.1%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes43.0ms (1.2%)

regimes84.0ms (2.3%)

regimes94.0ms (2.6%)

bsearch53.0ms (1.5%)

regimes55.0ms (1.5%)

bsearch41.0ms (1.1%)

regimes85.0ms (2.4%)

bsearch115.0ms (3.2%)

regimes26.0ms (0.7%)

bsearch175.0ms (4.8%)

regimes99.0ms (2.7%)

bsearch180.0ms (5%)

regimes61.0ms (1.7%)

bsearch46.0ms (1.3%)

regimes14.0ms (0.4%)

simplify9.0ms (0.2%)

end77.0ms (2.1%)

Profiling

Iter	Nodes	Cost
0	9	210
1	17	192
2	39	156
3	57	156
4	81	156
5	133	156
6	249	156
7	406	156
8	574	156
9	728	156
10	742	156

Iter	Nodes	Cost
0	14	160
1	28	160
2	47	160
3	76	160
4	124	160
5	211	160
6	349	160
7	429	160
8	496	160
9	502	160