Details

analyze315.0ms (7.3%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.1s (25%)

Results

939.0ms	8256×	body	256	valid
133.0ms	1186×	body	256	invalid

preprocess109.0ms (2.5%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	44
1	43	44
2	87	44
3	151	44
4	337	36
5	680	32
6	1142	32
7	1869	32
8	2490	32
9	2788	32
10	2863	32
11	2864	32
12	2864	32
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify35.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 18 to 10 computations (44.4% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(fma.f64 y (-.f64 x z) z)
▶	0.0b	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 14 computations (48.1% saved)

series7.0ms (0.2%)

Counts

2 → 48

Calls

15 calls:

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

rewrite75.0ms (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	2623	18

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

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

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

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

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

simplify46.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

315×	`fma-def_binary64`
245×	`fma-neg_binary64`
50×	`cancel-sign-sub-inv_binary64`
46×	`unsub-neg_binary64`
38×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	423
1	63	340
2	133	340
3	253	340
4	512	340
5	862	340
6	1117	340
7	1184	340
8	1186	340

Stop Event

1×

saturated

Counts

170 → 136

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 5 computations (66.7% saved)

series6.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite54.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify46.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

57 → 33

Calls

Call 1

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

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

eval41.0ms (0.9%)

Compiler: Compiled 2290 to 1140 computations (50.2% saved)

prune30.0ms (0.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

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

Error

Counts

171 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.0b	(*.f64 y (-.f64 x z))
✓	0.0b	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))
	29.0b	(+.f64 (.f64 x y) (.f64 y (neg.f64 z)))
▶	0.0b	(fma.f64 y x (*.f64 z (-.f64 1 y)))
✓	0.0b	(fma.f64 y (-.f64 x z) z)
▶	0.0b	(+.f64 (*.f64 y (-.f64 x z)) z)
	34.1b	z
▶	41.7b	(*.f64 y x)
▶	21.5b	(-.f64 z (*.f64 z y))

Compiler

Compiled 133 to 84 computations (36.8% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 13 computations (43.5% saved)

localize3.0ms (0.1%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

9 calls:

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

rewrite54.0ms (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	1784	7

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify31.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

43 → 25

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (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	1650	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify59.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

62 → 44

Calls

Call 1

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

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

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series3.0ms (0.1%)

Counts

1 → 27

Calls

9 calls:

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

rewrite107.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify49.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

62 → 46

Calls

Call 1

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

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

eval88.0ms (2%)

Compiler: Compiled 2237 to 830 computations (62.9% saved)

prune33.0ms (0.8%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	186	4	190
Fresh	1	1	2
Picked	0	1	1
Done	1	5	6
Total	188	11	199

Error

Counts

199 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.0b	(fma.f64 y x (*.f64 y (neg.f64 z)))
✓	0.0b	(fma.f64 y (-.f64 x z) z)
✓	29.0b	(*.f64 y (-.f64 x z))
✓	0.0b	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))
▶	13.2b	(+.f64 (*.f64 y x) z)
✓	41.7b	(*.f64 y x)
▶	29.0b	(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))
▶	49.7b	(*.f64 z (neg.f64 y))
✓	0.0b	(+.f64 (*.f64 y (-.f64 x z)) z)
	34.1b	z
✓	21.5b	(-.f64 z (*.f64 z y))

Compiler

Compiled 93 to 59 computations (36.6% saved)

localize5.0ms (0.1%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series6.0ms (0.1%)

Counts

1 → 9

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(+.f64 (*.f64 y x) z)
0.0ms	y	@	0	(+.f64 (*.f64 y x) z)
0.0ms	y	@	-inf	(+.f64 (*.f64 y x) z)
0.0ms	x	@	inf	(+.f64 (*.f64 y x) z)
0.0ms	x	@	0	(+.f64 (*.f64 y x) z)

rewrite59.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	24
1	6	24

Stop Event

1×

saturated

Counts

44 → 37

Calls

Call 1

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

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

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite58.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

834×	`pow1_binary64`
772×	`add-log-exp_binary64`
771×	`log1p-expm1-u_binary64`
771×	`expm1-log1p-u_binary64`
755×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	176	7
2	2564	7

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

simplify28.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

80 → 52

Calls

Call 1

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

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

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series8.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	(fma.f64 y x (*.f64 y (neg.f64 z)))
1.0ms	y	@	inf	(fma.f64 y x (*.f64 y (neg.f64 z)))
0.0ms	y	@	-inf	(fma.f64 y x (*.f64 y (neg.f64 z)))
0.0ms	x	@	-inf	(fma.f64 y x (*.f64 y (neg.f64 z)))
0.0ms	x	@	inf	(fma.f64 y x (*.f64 y (neg.f64 z)))

rewrite51.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify28.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

59 → 31

Calls

Call 1

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

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

eval23.0ms (0.5%)

Compiler: Compiled 1308 to 418 computations (68% saved)

prune23.0ms (0.5%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	117	3	120
Fresh	1	0	1
Picked	0	1	1
Done	2	7	9
Total	120	11	131

Error

Counts

131 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.0b	(-.f64 (.f64 y x) (.f64 y z))
▶	13.2b	(fma.f64 y x z)
✓	29.0b	(fma.f64 y x (*.f64 y (neg.f64 z)))
✓	29.0b	(*.f64 y (-.f64 x z))
✓	0.0b	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))
✓	13.2b	(+.f64 (*.f64 y x) z)
	34.1b	z
✓	49.7b	(*.f64 z (neg.f64 y))
✓	0.0b	(+.f64 (*.f64 y (-.f64 x z)) z)
✓	41.7b	(*.f64 y x)
✓	21.5b	(-.f64 z (*.f64 z y))

Compiler

Compiled 90 to 57 computations (36.7% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series34.0ms (0.8%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
31.0ms	y	@	-inf	(-.f64 (.f64 y x) (.f64 y z))
0.0ms	x	@	0	(-.f64 (.f64 y x) (.f64 y z))
0.0ms	y	@	0	(-.f64 (.f64 y x) (.f64 y z))
0.0ms	z	@	-inf	(-.f64 (.f64 y x) (.f64 y z))
0.0ms	y	@	inf	(-.f64 (.f64 y x) (.f64 y z))

rewrite66.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`pow1_binary64`
836×	`add-log-exp_binary64`
836×	`log1p-expm1-u_binary64`
836×	`expm1-log1p-u_binary64`
819×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	162	7
2	2300	7

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

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

Outputs

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

simplify94.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

118×	`fma-def_binary64`
80×	`fma-neg_binary64`
34×	`unsub-neg_binary64`
28×	`associate-l_binary64`
28×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	240
1	44	240
2	97	240
3	243	240
4	411	240
5	531	240
6	600	240
7	605	240

Stop Event

1×

saturated

Counts

89 → 59

Calls

Call 1

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

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

localize4.0ms (0.1%)

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

eval38.0ms (0.9%)

Compiler: Compiled 858 to 232 computations (73% saved)

prune14.0ms (0.3%)

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	1	1
Picked	0	1	1
Done	0	9	9
Total	59	11	70

Error

Counts

70 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.0b	(-.f64 (.f64 y x) (.f64 y z))
✓	13.2b	(fma.f64 y x z)
✓	29.0b	(fma.f64 y x (*.f64 y (neg.f64 z)))
✓	29.0b	(*.f64 y (-.f64 x z))
✓	0.0b	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))
✓	13.2b	(+.f64 (*.f64 y x) z)
	34.1b	z
✓	49.7b	(*.f64 z (neg.f64 y))
✓	0.0b	(+.f64 (*.f64 y (-.f64 x z)) z)
✓	41.7b	(*.f64 y x)
✓	21.5b	(-.f64 z (*.f64 z y))

Compiler

Compiled 90 to 57 computations (36.7% saved)

regimes46.0ms (1.1%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

4 calls:

12.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))
11.0ms	x
10.0ms	y
10.0ms	z

Results

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

Compiler

Compiled 115 to 47 computations (59.1% saved)

regimes65.0ms (1.5%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

4 calls:

29.0ms	z
14.0ms	x
10.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))
9.0ms	y

Results

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

Compiler

Compiled 107 to 43 computations (59.8% saved)

regimes59.0ms (1.4%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

30.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))
9.0ms	y
8.0ms	x
8.0ms	z

Results

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

Compiler

Compiled 94 to 41 computations (56.4% saved)

regimes28.0ms (0.6%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	y
8.0ms	z
8.0ms	x

Results

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

Compiler

Compiled 69 to 28 computations (59.4% saved)

regimes134.0ms (3.1%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

50.0ms	z
48.0ms	x
34.0ms	y

Results

Error	Segments	Branch
5.3b	3	`x`
0.7b	3	`y`
6.6b	3	`z`

Compiler

Compiled 46 to 22 computations (52.2% saved)

bsearch67.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	1.2286726023738117e-10	0.004803542289403861
32.0ms	-2.4322714825880966e+23	-14504809675701912000.0

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes104.0ms (2.4%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

45.0ms	z
34.0ms	y
23.0ms	x

Results

Error	Segments	Branch
5.3b	3	`x`
0.7b	3	`y`
6.6b	3	`z`

Compiler

Compiled 39 to 20 computations (48.7% saved)

bsearch78.0ms (1.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
59.0ms	1.2286726023738117e-10	0.004803542289403861
19.0ms	-2.4322714825880966e+23	-14504809675701912000.0

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes64.0ms (1.5%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

3 calls:

42.0ms	x
15.0ms	y
5.0ms	z

Results

Error	Segments	Branch
10.5b	5	`x`
11.8b	2	`y`
13.2b	1	`z`

Compiler

Compiled 29 to 16 computations (44.8% saved)

bsearch93.0ms (2.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
36.0ms	5.913783495717284e-126	2.1466825154183923e-117
18.0ms	5.331077846216749e-139	5.204434832272081e-136
19.0ms	8.846628928109563e-248	4.010327288569241e-245
19.0ms	-3.485907065575079e-305	-8.197707955332887e-308

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes113.0ms (2.6%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

3 calls:

49.0ms	y
38.0ms	x
24.0ms	z

Results

Error	Segments	Branch
25.2b	9	`x`
20.9b	4	`y`
20.4b	5	`z`

Compiler

Compiled 24 to 15 computations (37.5% saved)

bsearch301.0ms (6.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
176.0ms	5.3400027498407065e+85	1.644925093751099e+95
20.0ms	8233723313584718000.0	1.8583478584200946e+22
46.0ms	5.883759852816575e-81	2.0582058506493217e-80
59.0ms	-2.7324815573128564e-29	-2.1585006887021623e-30

Compiler

Compiled 135 to 103 computations (23.7% saved)

regimes49.0ms (1.1%)

Counts

3 → 3

Calls

Call 1

Inputs
z
z
(*.f64 y x)

Outputs
z
(*.f64 y x)
z

Calls

3 calls:

20.0ms	x
14.0ms	z
13.0ms	y

Results

Error	Segments	Branch
27.9b	5	`x`
22.4b	3	`y`
21.5b	3	`z`

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch38.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	5.883759852816575e-81	2.0582058506493217e-80
19.0ms	-2.7324815573128564e-29	-2.1585006887021623e-30

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes30.0ms (0.7%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
z
z

Outputs
z

Calls

3 calls:

21.0ms	z
4.0ms	y
4.0ms	x

Results

Error	Segments	Branch
34.1b	1	`x`
34.1b	1	`y`
34.1b	1	`z`

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	224
1	76	224
2	88	224
3	93	224
4	95	224

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 y x (*.f64 z (-.f64 1 y)))
(fma.f64 y (-.f64 x z) z)
(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y (-.f64 x z)) z)
(if (<=.f64 y -243227148258809657425920) (.f64 y (-.f64 x z)) (if (<=.f64 y 9734547261769644032/79228162514264337593543950336) (+.f64 (.f64 y x) z) (-.f64 (.f64 y x) (.f64 y z))))
(if (<=.f64 y -243227148258809657425920) (.f64 y (-.f64 x z)) (if (<=.f64 y 9734547261769644032/79228162514264337593543950336) (+.f64 (.f64 y x) z) (*.f64 y (-.f64 x z))))
(if (<=.f64 x -1722547472881521/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904) (+.f64 (.f64 y x) z) (if (<=.f64 x 2785697985712799/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) (.f64 z (neg.f64 y)) (if (<=.f64 x 7147806782164623/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (+.f64 (.f64 y x) z) (if (<=.f64 x 2253582159989999/381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764928) (.f64 z (neg.f64 y)) (+.f64 (*.f64 y x) z)))))
(if (<=.f64 z -4874909997545453/178405961588244985132285746181186892047843328) z (if (<=.f64 z 12567634768088126/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (.f64 y x) (if (<=.f64 z 8233723313584717824) z (if (<=.f64 z 55000000000000000804688237687118016703352364332556028260323593294338800033813151875072) (.f64 z (neg.f64 y)) z))))
(if (<=.f64 z -4874909997545453/178405961588244985132285746181186892047843328) z (if (<=.f64 z 12567634768088126/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (*.f64 y x) z))
z

Outputs
(fma.f64 y x (*.f64 z (-.f64 1 y)))
(fma.f64 y (-.f64 x z) z)
(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))
(+.f64 (.f64 z (-.f64 1 y)) (.f64 y x))
(+.f64 (*.f64 y (-.f64 x z)) z)
(+.f64 z (*.f64 y (-.f64 x z)))
(if (<=.f64 y -243227148258809657425920) (.f64 y (-.f64 x z)) (if (<=.f64 y 9734547261769644032/79228162514264337593543950336) (+.f64 (.f64 y x) z) (-.f64 (.f64 y x) (.f64 y z))))
(if (<=.f64 y -243227148258809657425920) (.f64 y (-.f64 x z)) (if (<=.f64 y 4753196905160959/38685626227668133590597632) (+.f64 z (.f64 y x)) (-.f64 (.f64 y x) (.f64 y z))))
(if (<=.f64 y -243227148258809657425920) (.f64 y (-.f64 x z)) (if (<=.f64 y 9734547261769644032/79228162514264337593543950336) (+.f64 (.f64 y x) z) (*.f64 y (-.f64 x z))))
(if (<=.f64 y -243227148258809657425920) (.f64 y (-.f64 x z)) (if (<=.f64 y 4753196905160959/38685626227668133590597632) (+.f64 z (.f64 y x)) (*.f64 y (-.f64 x z))))
(if (<=.f64 x -1722547472881521/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904) (+.f64 (.f64 y x) z) (if (<=.f64 x 2785697985712799/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) (.f64 z (neg.f64 y)) (if (<=.f64 x 7147806782164623/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (+.f64 (.f64 y x) z) (if (<=.f64 x 2253582159989999/381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764928) (.f64 z (neg.f64 y)) (+.f64 (*.f64 y x) z)))))
(if (<=.f64 x -1722547472881521/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904) (+.f64 z (.f64 y x)) (if (<=.f64 x 2785697985712799/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) (.f64 z (neg.f64 y)) (if (<=.f64 x 7147806782164623/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (+.f64 z (.f64 y x)) (if (<=.f64 x 2253582159989999/381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764928) (.f64 z (neg.f64 y)) (+.f64 z (*.f64 y x))))))
(if (<=.f64 x -1722547472881521/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904) (+.f64 z (.f64 y x)) (if (<=.f64 x 2785697985712799/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) (.f64 y (neg.f64 z)) (if (<=.f64 x 7147806782164623/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (+.f64 z (.f64 y x)) (if (<=.f64 x 2253582159989999/381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764928) (.f64 y (neg.f64 z)) (+.f64 z (*.f64 y x))))))
(if (<=.f64 z -4874909997545453/178405961588244985132285746181186892047843328) z (if (<=.f64 z 12567634768088126/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (.f64 y x) (if (<=.f64 z 8233723313584717824) z (if (<=.f64 z 55000000000000000804688237687118016703352364332556028260323593294338800033813151875072) (.f64 z (neg.f64 y)) z))))
(if (<=.f64 z -4874909997545453/178405961588244985132285746181186892047843328) z (if (<=.f64 z 6283817384044063/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288) (.f64 y x) (if (<=.f64 z 8233723313584717824) z (if (<=.f64 z 55000000000000000804688237687118016703352364332556028260323593294338800033813151875072) (.f64 z (neg.f64 y)) z))))
(if (<=.f64 z -4874909997545453/178405961588244985132285746181186892047843328) z (if (<=.f64 z 6283817384044063/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288) (.f64 y x) (if (<=.f64 z 8233723313584717824) z (if (<=.f64 z 55000000000000000804688237687118016703352364332556028260323593294338800033813151875072) (.f64 y (neg.f64 z)) z))))
(if (<=.f64 z -4874909997545453/178405961588244985132285746181186892047843328) z (if (<=.f64 z 12567634768088126/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (*.f64 y x) z))
(if (<=.f64 z -4874909997545453/178405961588244985132285746181186892047843328) z (if (<=.f64 z 6283817384044063/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288) (*.f64 y x) z))
z

Compiler

Compiled 187 to 104 computations (44.4% saved)

soundness0.0ms (0%)

end92.0ms (2.1%)

Compiler: Compiled 160 to 63 computations (60.6% saved)

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

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

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

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

Details

analyze315.0ms (7.3%)

sample1.1s (25%)

preprocess109.0ms (2.5%)

simplify35.0ms (0.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize11.0ms (0.2%)

series7.0ms (0.2%)

rewrite75.0ms (1.7%)

simplify46.0ms (1.1%)

localize6.0ms (0.1%)

series6.0ms (0.1%)

rewrite54.0ms (1.2%)

simplify46.0ms (1.1%)

eval41.0ms (0.9%)

prune30.0ms (0.7%)

localize11.0ms (0.2%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

series3.0ms (0.1%)

rewrite54.0ms (1.2%)

simplify31.0ms (0.7%)

localize5.0ms (0.1%)

series3.0ms (0.1%)

rewrite54.0ms (1.2%)

simplify59.0ms (1.4%)

localize7.0ms (0.2%)

series3.0ms (0.1%)

rewrite107.0ms (2.5%)

simplify49.0ms (1.1%)

eval88.0ms (2%)

prune33.0ms (0.8%)

localize5.0ms (0.1%)

localize5.0ms (0.1%)

series6.0ms (0.1%)

rewrite59.0ms (1.4%)

simplify8.0ms (0.2%)

localize9.0ms (0.2%)

series4.0ms (0.1%)

rewrite58.0ms (1.3%)

simplify28.0ms (0.6%)

localize8.0ms (0.2%)

series8.0ms (0.2%)

rewrite51.0ms (1.2%)

simplify28.0ms (0.7%)

eval23.0ms (0.5%)

prune23.0ms (0.5%)

localize11.0ms (0.2%)

series34.0ms (0.8%)

rewrite66.0ms (1.5%)

simplify94.0ms (2.2%)

localize4.0ms (0.1%)

eval38.0ms (0.9%)

prune14.0ms (0.3%)

regimes46.0ms (1.1%)

regimes65.0ms (1.5%)

regimes59.0ms (1.4%)

regimes28.0ms (0.6%)

regimes134.0ms (3.1%)

bsearch67.0ms (1.5%)

regimes104.0ms (2.4%)

bsearch78.0ms (1.8%)

regimes64.0ms (1.5%)

bsearch93.0ms (2.1%)

regimes113.0ms (2.6%)

bsearch301.0ms (6.9%)

regimes49.0ms (1.1%)

bsearch38.0ms (0.9%)

regimes30.0ms (0.7%)

simplify15.0ms (0.3%)

soundness0.0ms (0%)

end92.0ms (2.1%)

Profiling

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

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