Details

analyze200.0ms (3.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
25%	71.8%	3.3%	9
34.3%	60.1%	5.6%	10
41.3%	51.5%	7.2%	11
46.8%	44.1%	9.1%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.2s (21%)

Results

1.0s	8256×	body	256	valid
170.0ms	1242×	body	256	invalid

preprocess105.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

768×	`fma-neg_binary64`
441×	`fma-def_binary64`
175×	`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	1140	32
7	1863	32
8	2484	32
9	2782	32
10	2857	32
11	2858	32
12	2858	32
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify31.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

346×	`fma-def_binary64`
246×	`fma-neg_binary64`
54×	`cancel-sign-sub-inv_binary64`
45×	`distribute-rgt-in_binary64`
41×	`associate--r+_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	17	11
2	30	11
3	57	11
4	126	9
5	218	8
6	346	8
7	557	8
8	960	8
9	1145	8
10	1205	8
11	1215	8

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 14 computations (48.1% saved)

series7.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite71.0ms (1.2%)

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

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

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

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

simplify51.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

345×	`fma-def_binary64`
255×	`fma-neg_binary64`
50×	`cancel-sign-sub-inv_binary64`
47×	`unsub-neg_binary64`
38×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	453
1	58	424
2	125	424
3	252	424
4	524	424
5	882	424
6	1156	424
7	1225	424
8	1227	424

Stop Event

1×

saturated

Counts

182 → 137

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 5 computations (66.7% saved)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite57.0ms (1%)

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 x (-.f64 y z) z)

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

Outputs

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

simplify75.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	267
1	56	264
2	109	264
3	188	264
4	348	264
5	648	264
6	1031	264
7	1270	264
8	1389	264
9	1391	264

Stop Event

1×

saturated

Counts

57 → 33

Calls

Call 1

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

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

eval43.0ms (0.7%)

Compiler: Compiled 2297 to 1174 computations (48.9% saved)

prune70.0ms (1.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	160	10	170
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	162	10	172

Error

Counts

172 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (.f64 x y) (+.f64 z (.f64 (neg.f64 x) z)))
▶	40.3b	(*.f64 y x)
	25.3b	(/.f64 (-.f64 (.f64 (.f64 x (-.f64 y z)) (.f64 x (-.f64 y z))) (.f64 z z)) (-.f64 (*.f64 x (-.f64 y z)) z))
	30.8b	z
▶	32.1b	(*.f64 (-.f64 y z) x)
▶	0.0b	(fma.f64 y x (*.f64 (-.f64 1 x) z))
	32.1b	(+.f64 (.f64 x y) (.f64 (neg.f64 z) x))
▶	0.0b	(+.f64 (*.f64 (-.f64 y z) x) z)
	23.4b	(-.f64 z (*.f64 z x))
	23.4b	(*.f64 z (-.f64 1 x))

Compiler

Compiled 206 to 119 computations (42.2% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

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 (-.f64 y z) x)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series27.0ms (0.5%)

Counts

1 → 24

Calls

9 calls:

Time	Variable		Point	Expression
23.0ms	y	@	0	(*.f64 (-.f64 y z) x)
1.0ms	y	@	inf	(*.f64 (-.f64 y z) x)
0.0ms	x	@	0	(*.f64 (-.f64 y z) x)
0.0ms	x	@	inf	(*.f64 (-.f64 y z) x)
0.0ms	y	@	-inf	(*.f64 (-.f64 y z) x)

rewrite50.0ms (0.9%)

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 (-.f64 y z) x)

Outputs

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

simplify27.0ms (0.5%)

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	9	210
1	17	192
2	39	156
3	57	156
4	81	156
5	133	156
6	249	156
7	404	156
8	570	156
9	724	156
10	738	156

Stop Event

1×

saturated

Counts

43 → 25

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series5.0ms (0.1%)

Counts

1 → 27

Calls

9 calls:

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

rewrite57.0ms (1%)

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 (-.f64 y z) x) z)

Outputs

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

simplify47.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	267
1	57	228
2	112	192
3	190	192
4	350	192
5	654	192
6	1031	192
7	1270	192
8	1389	192
9	1391	192

Stop Event

1×

saturated

Counts

62 → 48

Calls

Call 1

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

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

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 31 to 8 computations (74.2% saved)

series6.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite83.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

607×	`fma-def_binary64`
505×	`log-prod_binary64`
398×	`pow-prod-down_binary64`
336×	`fma-neg_binary64`
254×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	208	14
2	3272	14

Stop Event

1×	node limit

Counts

2 → 254

Calls

Call 1

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

Outputs

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

simplify49.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

313×	`fma-neg_binary64`
287×	`fma-def_binary64`
50×	`cancel-sign-sub-inv_binary64`
42×	`unsub-neg_binary64`
41×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	477
1	77	424
2	166	424
3	330	424
4	659	424
5	1069	424
6	1229	424
7	1243	424

Stop Event

1×

saturated

Counts

314 → 271

Calls

Call 1

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

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

eval95.0ms (1.6%)

Compiler: Compiled 6034 to 1893 computations (68.6% saved)

prune82.0ms (1.4%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	411	9	420
Fresh	5	0	5
Picked	1	0	1
Done	1	3	4
Total	418	12	430

Error

Counts

430 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	23.4b	(-.f64 z (*.f64 z x))
✓	40.3b	(*.f64 y x)
▶	54.7b	(*.f64 z (neg.f64 x))
✓	32.1b	(*.f64 (-.f64 y z) x)
	30.8b	z
	23.4b	(*.f64 z (-.f64 1 x))
✓	0.0b	(+.f64 (*.f64 (-.f64 y z) x) z)
▶	8.6b	(+.f64 (*.f64 y x) z)
▶	0.0b	(+.f64 (.f64 x y) (-.f64 z (.f64 x z)))
▶	32.1b	(+.f64 (.f64 y x) (.f64 (neg.f64 z) x))
▶	32.1b	(fma.f64 y x (*.f64 (neg.f64 z) x))
	27.5b	(+.f64 (/.f64 (.f64 (-.f64 (.f64 y y) (*.f64 z z)) x) (+.f64 y z)) z)

Compiler

Compiled 192 to 120 computations (37.5% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 7 computations (73.1% saved)

series4.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite85.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

535×	`fma-def_binary64`
506×	`log-prod_binary64`
370×	`pow-prod-down_binary64`
359×	`exp-prod_binary64`
260×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	185	18
2	2813	18

Stop Event

1×	node limit

Counts

2 → 203

Calls

Call 1

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

Outputs

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

simplify69.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

252×	`fma-neg_binary64`
242×	`fma-def_binary64`
59×	`unsub-neg_binary64`
48×	`distribute-rgt-in_binary64`
48×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	424
1	79	424
2	139	424
3	368	424
4	838	424
5	1133	424
6	1242	424
7	1245	424

Stop Event

1×

saturated

Counts

263 → 219

Calls

Call 1

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

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

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
3.0ms	x	@	-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	z	@	-inf	(+.f64 (*.f64 y x) z)
0.0ms	x	@	inf	(+.f64 (*.f64 y x) z)

rewrite55.0ms (0.9%)

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)))))

simplify7.0ms (0.1%)

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

localize35.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite53.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

835×	`pow1_binary64`
773×	`add-log-exp_binary64`
772×	`log1p-expm1-u_binary64`
772×	`expm1-log1p-u_binary64`
756×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	176	7
2	2563	7

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

simplify28.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

160×	`fma-def_binary64`
110×	`fma-neg_binary64`
31×	`unsub-neg_binary64`
30×	`cancel-sign-sub-inv_binary64`
26×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	330
1	41	240
2	96	240
3	186	240
4	324	240
5	508	240
6	622	240
7	663	240

Stop Event

1×

saturated

Counts

80 → 52

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite54.0ms (0.9%)

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	1814	7

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify31.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

160×	`fma-def_binary64`
110×	`fma-neg_binary64`
31×	`unsub-neg_binary64`
30×	`cancel-sign-sub-inv_binary64`
26×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	330
1	41	240
2	96	240
3	186	240
4	324	240
5	508	240
6	622	240
7	663	240

Stop Event

1×

saturated

Counts

59 → 31

Calls

Call 1

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

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

eval115.0ms (2%)

Compiler: Compiled 4950 to 1427 computations (71.2% saved)

prune104.0ms (1.8%)

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	336	3	339
Fresh	2	2	4
Picked	0	1	1
Done	1	6	7
Total	339	12	351

Error

Counts

351 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	40.3b	(*.f64 y x)
✓	54.7b	(*.f64 z (neg.f64 x))
✓	0.0b	(+.f64 (.f64 x y) (-.f64 z (.f64 x z)))
	30.8b	z
▶	32.1b	(-.f64 (.f64 y x) (.f64 x z))
✓	32.1b	(fma.f64 y x (*.f64 (neg.f64 z) x))
▶	23.4b	(*.f64 z (-.f64 1 x))
✓	0.0b	(+.f64 (*.f64 (-.f64 y z) x) z)
✓	8.6b	(+.f64 (*.f64 y x) z)
▶	27.5b	(+.f64 (/.f64 (.f64 (-.f64 (.f64 y y) (*.f64 z z)) x) (+.f64 y z)) z)
▶	23.4b	(-.f64 z (*.f64 z x))
✓	32.1b	(*.f64 (-.f64 y z) x)

Compiler

Compiled 109 to 68 computations (37.6% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(*.f64 z (-.f64 1 x))
0.0ms	z	@	inf	(*.f64 z (-.f64 1 x))
0.0ms	x	@	inf	(*.f64 z (-.f64 1 x))
0.0ms	z	@	-inf	(*.f64 z (-.f64 1 x))
0.0ms	x	@	-inf	(*.f64 z (-.f64 1 x))

rewrite52.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	122	7
2	1510	7

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

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

simplify18.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

133×	`fma-def_binary64`
90×	`fma-neg_binary64`
22×	`cancel-sign-sub-inv_binary64`
21×	`associate-r_binary64`
17×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	85
1	14	76
2	30	76
3	46	76
4	64	76
5	128	76
6	253	76
7	359	76
8	457	76
9	533	76

Stop Event

1×

saturated

Counts

29 → 23

Calls

Call 1

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

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

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (.f64 (-.f64 (.f64 y y) (*.f64 z z)) x) (+.f64 y z)) z)
✓	3.5b	(-.f64 (.f64 y y) (.f64 z z))
✓	11.3b	(.f64 (-.f64 (.f64 y y) (*.f64 z z)) x)
✓	16.1b	(/.f64 (.f64 (-.f64 (.f64 y y) (*.f64 z z)) x) (+.f64 y z))

Compiler

Compiled 59 to 10 computations (83.1% saved)

series19.0ms (0.3%)

Counts

4 → 132

Calls

33 calls:

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

rewrite153.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

722×	`fma-def_binary64`
707×	`log-prod_binary64`
385×	`fma-neg_binary64`
239×	`expm1-udef_binary64`
239×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	64
1	262	40
2	4183	38

Stop Event

1×	node limit

Counts

4 → 346

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (-.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (-.f64 y z) x))) (cbrt.f64 (exp.f64 (.f64 (-.f64 y z) x))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (-.f64 y z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (-.f64 y z) x)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (-.f64 y z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 y z) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 y y) (/.f64 (+.f64 y z) x)) (/.f64 (.f64 z z) (/.f64 (+.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 y z) (-.f64 y z)) (/.f64 1 (/.f64 (+.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 y z) (-.f64 y z)) (.f64 x (/.f64 1 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 (.f64 (+.f64 y z) (-.f64 y z)) (/.f64 1 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (+.f64 y z) (-.f64 y z)) x) (/.f64 1 (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 y z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (-.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (+.f64 y z) (-.f64 y z)) x)) 2) (.f64 (cbrt.f64 (.f64 (.f64 (+.f64 y z) (-.f64 y z)) x)) (/.f64 1 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (-.f64 y z) x)) (pow.f64 (cbrt.f64 (.f64 (-.f64 y z) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 y z) x)) 2) (cbrt.f64 (.f64 (-.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (.f64 (+.f64 y z) (-.f64 y z)) x)) (.f64 (sqrt.f64 (.f64 (.f64 (+.f64 y z) (-.f64 y z)) x)) (/.f64 1 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (-.f64 y z) x)) (sqrt.f64 (.f64 (-.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (+.f64 y z) (-.f64 y z)) (neg.f64 x)) (/.f64 1 (neg.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 y z)) (.f64 (.f64 (+.f64 y z) (-.f64 y z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 y z) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (+.f64 y z) (-.f64 y z)) 1) (/.f64 x (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x 1) (-.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (+.f64 y z) (-.f64 y z)) x)) 2) 1) (/.f64 (cbrt.f64 (.f64 (.f64 (+.f64 y z) (-.f64 y z)) x)) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 y z) (-.f64 y z)) x)) 1) (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 y z) (-.f64 y z)) x)) (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (+.f64 y z) (-.f64 y z)) (pow.f64 (cbrt.f64 (+.f64 y z)) 2)) (/.f64 x (cbrt.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 y z)) 2)) (/.f64 (.f64 (+.f64 y z) (-.f64 y z)) (cbrt.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y z)) 2)) (/.f64 (.f64 (.f64 (+.f64 y z) (-.f64 y z)) x) (cbrt.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (+.f64 y z) (-.f64 y z)) x)) 2) (pow.f64 (cbrt.f64 (+.f64 y z)) 2)) (cbrt.f64 (.f64 (-.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 y z) (-.f64 y z)) x)) (pow.f64 (cbrt.f64 (+.f64 y z)) 2)) (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 y z) (-.f64 y z)) x)) (cbrt.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (+.f64 y z) (-.f64 y z)) (sqrt.f64 (+.f64 y z))) (/.f64 x (sqrt.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (sqrt.f64 (+.f64 y z))) (/.f64 (.f64 (+.f64 y z) (-.f64 y z)) (sqrt.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.f64 y z))) (/.f64 (.f64 (.f64 (+.f64 y z) (-.f64 y z)) x) (sqrt.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (+.f64 y z) (-.f64 y z)) x)) 2) (sqrt.f64 (+.f64 y z))) (/.f64 (cbrt.f64 (.f64 (.f64 (+.f64 y z) (-.f64 y z)) x)) (sqrt.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (.f64 (+.f64 y z) (-.f64 y z)) x) (.f64 (+.f64 y z) (-.f64 y z))) (-.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (.f64 (+.f64 y z) (-.f64 y z)) x) (+.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 y y (.f64 z (-.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (-.f64 y z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (-.f64 y z) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (-.f64 y z) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (-.f64 y z) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (.f64 (-.f64 y z) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 (.f64 (+.f64 y z) (-.f64 y z)) x) (neg.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (-.f64 y z) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (-.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 y z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (-.f64 y z) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (-.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (-.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (-.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (-.f64 y z) x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (+.f64 y z) (-.f64 y z)) x) (.f64 (fma.f64 z (neg.f64 z) (.f64 z z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (+.f64 y z) (-.f64 y z)) x) (.f64 x (fma.f64 z (neg.f64 z) (.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (.f64 (+.f64 y z) (-.f64 y z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y y) x) (.f64 (.f64 z (neg.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 z (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 (+.f64 y z) (-.f64 y z)))) (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 (+.f64 y z) (-.f64 y z)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 (+.f64 y z) (-.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 (+.f64 y z) (-.f64 y z))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 (+.f64 y z) (-.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (+.f64 y z) (-.f64 y z)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 y 6) (pow.f64 z 6)) x) (fma.f64 (.f64 z z) (fma.f64 y y (.f64 z z)) (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 y 4) (pow.f64 z 4)) x) (fma.f64 y y (.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 (pow.f64 y 6) (pow.f64 z 6))) (fma.f64 (.f64 z z) (fma.f64 y y (.f64 z z)) (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 (pow.f64 y 4) (pow.f64 z 4))) (fma.f64 y y (.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 (+.f64 y z) (-.f64 y z)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 (+.f64 y z) (-.f64 y z)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 (+.f64 y z) (-.f64 y z)) x)) 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fma.f64 (/.f64 (.f64 (.f64 (+.f64 y z) (-.f64 y z)) x) (+.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 y y (.f64 z (-.f64 z y))) z)))))

simplify92.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

790×	`fma-neg_binary64`
740×	`fma-def_binary64`
342×	`distribute-rgt-neg-in_binary64`
329×	`div-sub_binary64`
323×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	1452
1	115	1297
2	223	1152
3	476	1152
4	1532	1152
5	4882	1152

Stop Event

1×	node limit

Counts

478 → 382

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite55.0ms (0.9%)

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 x))

Outputs

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

simplify37.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

136×	`fma-def_binary64`
71×	`fma-neg_binary64`
22×	`cancel-sign-sub-inv_binary64`
18×	`sub-neg_binary64`
17×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	160
1	28	160
2	47	160
3	76	160
4	124	160
5	211	160
6	360	160
7	439	160
8	509	160
9	515	160

Stop Event

1×

saturated

Counts

62 → 45

Calls

Call 1

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

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

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite58.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

877×	`pow1_binary64`
812×	`add-log-exp_binary64`
812×	`log1p-expm1-u_binary64`
812×	`expm1-log1p-u_binary64`
795×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	160	7
2	2222	7

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs

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

simplify36.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

129×	`fma-def_binary64`
70×	`fma-neg_binary64`
37×	`unsub-neg_binary64`
29×	`distribute-rgt-in_binary64`
28×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	330
1	43	240
2	99	240
3	261	240
4	439	240
5	557	240
6	626	240
7	631	240

Stop Event

1×

saturated

Counts

85 → 56

Calls

Call 1

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

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

eval406.0ms (6.9%)

Compiler: Compiled 9941 to 2659 computations (73.3% saved)

prune88.0ms (1.5%)

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	504	2	506
Fresh	0	1	1
Picked	0	1	1
Done	2	8	10
Total	506	12	518

Error

Counts

518 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	40.3b	(*.f64 y x)
✓	54.7b	(*.f64 z (neg.f64 x))
✓	0.0b	(+.f64 (.f64 x y) (-.f64 z (.f64 x z)))
	30.8b	z
✓	23.4b	(*.f64 z (-.f64 1 x))
✓	0.0b	(+.f64 (*.f64 (-.f64 y z) x) z)
✓	8.6b	(+.f64 (*.f64 y x) z)
	28.0b	(+.f64 (.f64 (/.f64 (.f64 (+.f64 y z) (-.f64 y z)) 1) (/.f64 x (+.f64 y z))) z)
✓	32.1b	(-.f64 (.f64 y x) (.f64 x z))
	25.3b	(+.f64 (/.f64 (.f64 (.f64 y y) x) (+.f64 y z)) z)
✓	23.4b	(-.f64 z (*.f64 z x))
✓	32.1b	(*.f64 (-.f64 y z) x)

Compiler

Compiled 115 to 71 computations (38.3% saved)

regimes64.0ms (1.1%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

4 calls:

16.0ms	z
16.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
14.0ms	y
13.0ms	x

Results

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

Compiler

Compiled 217 to 78 computations (64.1% saved)

regimes57.0ms (1%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

4 calls:

14.0ms	z
14.0ms	y
13.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
11.0ms	x

Results

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

Compiler

Compiled 209 to 74 computations (64.6% saved)

regimes28.0ms (0.5%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	z
8.0ms	x
8.0ms	y

Results

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

Compiler

Compiled 90 to 34 computations (62.2% saved)

regimes96.0ms (1.6%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

3 calls:

59.0ms	x
25.0ms	y
8.0ms	z

Results

Error	Segments	Branch
0.6b	3	`x`
5.2b	3	`y`
8.6b	1	`z`

Compiler

Compiled 67 to 28 computations (58.2% saved)

bsearch36.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	7.437725542128105e-10	3.057637814609522
18.0ms	-76.55260091418698	-0.005735724523951155

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes115.0ms (2%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

72.0ms	x
32.0ms	y
7.0ms	z

Results

Error	Segments	Branch
0.7b	3	`x`
5.2b	3	`y`
8.6b	1	`z`

Compiler

Compiled 60 to 26 computations (56.7% saved)

bsearch63.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	7.437725542128105e-10	3.057637814609522
32.0ms	-76.55260091418698	-0.005735724523951155

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes110.0ms (1.9%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

43.0ms	y
41.0ms	z
22.0ms	x

Results

Error	Segments	Branch
7.4b	2	`x`
5.2b	3	`y`
8.6b	1	`z`

Compiler

Compiled 45 to 21 computations (53.3% saved)

bsearch94.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	4.357020120295335e-156	2.0610572428976204e-153
55.0ms	-594893.0191040874	-213268.09469136686

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes201.0ms (3.4%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

103.0ms	x
63.0ms	y
29.0ms	z

Results

Error	Segments	Branch
16.0b	6	`x`
16.1b	3	`y`
12.7b	3	`z`

Compiler

Compiled 40 to 20 computations (50% saved)

bsearch70.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	8.61607622494549e-162	4.997262564627416e-157
31.0ms	-5.490572295503233e-143	-3.5584662816549435e-144

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes71.0ms (1.2%)

Counts

5 → 6

Calls

Call 1

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

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

Calls

3 calls:

28.0ms	x
23.0ms	z
17.0ms	y

Results

Error	Segments	Branch
16.4b	6	`x`
23.3b	3	`y`
18.7b	3	`z`

Compiler

Compiled 25 to 15 computations (40% saved)

bsearch156.0ms (2.7%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
16.0ms	7.437725542128105e-10	3.057637814609522
20.0ms	-3.4354230429647517e-169	-7.969797350360993e-174
17.0ms	-9.717088850848691e-141	-1.1288316088286775e-141
22.0ms	-5.867747587884991e-19	-3.8605541858748067e-22
76.0ms	-2.5047587778070167e+102	-2.721183105070942e+96

Compiler

Compiled 153 to 112 computations (26.8% saved)

regimes52.0ms (0.9%)

Counts

4 → 5

Calls

Call 1

Inputs
z
z
z
(*.f64 y x)

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

Calls

3 calls:

21.0ms	x
16.0ms	y
14.0ms	z

Results

Error	Segments	Branch
17.6b	5	`x`
23.3b	3	`y`
18.7b	3	`z`

Compiler

Compiled 21 to 13 computations (38.1% saved)

bsearch77.0ms (1.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
17.0ms	7.437725542128105e-10	3.057637814609522
23.0ms	-3.4354230429647517e-169	-7.969797350360993e-174
18.0ms	-9.717088850848691e-141	-1.1288316088286775e-141
20.0ms	-5.867747587884991e-19	-3.8605541858748067e-22

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes102.0ms (1.7%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs
z
z
z

Outputs
z

Calls

3 calls:

93.0ms	z
4.0ms	x
4.0ms	y

Results

Error	Segments	Branch
30.8b	1	`x`
30.8b	1	`y`
30.8b	1	`z`

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify21.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
8×	`*-commutative_binary64`
8×	`sub-neg_binary64`
4×	`cancel-sign-sub-inv_binary64`
3×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	255
1	84	255
2	96	255
3	101	255
4	103	255

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 y x (*.f64 (-.f64 1 x) z))
(+.f64 (.f64 x y) (-.f64 z (.f64 x z)))
(+.f64 (*.f64 (-.f64 y z) x) z)
(if (<=.f64 x -5386910389865231/70368744177664) (-.f64 (.f64 y x) (.f64 x z)) (if (<=.f64 x 7193326757668705/9671406556917033397649408) (+.f64 (.f64 y x) z) (.f64 (-.f64 y z) x)))
(if (<=.f64 x -5386910389865231/70368744177664) (.f64 (-.f64 y z) x) (if (<=.f64 x 7193326757668705/9671406556917033397649408) (+.f64 (.f64 y x) z) (*.f64 (-.f64 y z) x)))
(if (<=.f64 y -5110092123341517/8589934592) (+.f64 (.f64 y x) z) (if (<=.f64 y 8418933871711245/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (-.f64 z (.f64 z x)) (+.f64 (*.f64 y x) z)))
(if (<=.f64 z -6030666855511767/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) (-.f64 z (.f64 z x)) (if (<=.f64 z 8728648056171065/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056) (.f64 y x) (-.f64 z (*.f64 z x))))
(if (<=.f64 x -2799999999999999997327311866530759511144725380551992854311543048574442425792577054152831541444608) (.f64 z (neg.f64 x)) (if (<=.f64 x -3046708736725055/5192296858534827628530496329220096) (.f64 y x) (if (<=.f64 x -1042278887602927/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) z (if (<=.f64 x -5838987838453659/16996415770136547158066822609678996074546979767265021542382212422412913915547271767653200072487337141404458543559888032491090538804886631661104639320530795262202600666732583009015300096) (.f64 y x) (if (<=.f64 x 7193326757668705/9671406556917033397649408) z (.f64 y x))))))
(if (<=.f64 x -3046708736725055/5192296858534827628530496329220096) (.f64 y x) (if (<=.f64 x -1042278887602927/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) z (if (<=.f64 x -5838987838453659/16996415770136547158066822609678996074546979767265021542382212422412913915547271767653200072487337141404458543559888032491090538804886631661104639320530795262202600666732583009015300096) (.f64 y x) (if (<=.f64 x 7193326757668705/9671406556917033397649408) z (*.f64 y x)))))
z

Outputs
(fma.f64 y x (*.f64 (-.f64 1 x) z))
(+.f64 (.f64 x y) (-.f64 z (.f64 x z)))
(+.f64 (-.f64 z (.f64 x z)) (.f64 y x))
(+.f64 (*.f64 (-.f64 y z) x) z)
(+.f64 z (*.f64 x (-.f64 y z)))
(if (<=.f64 x -5386910389865231/70368744177664) (-.f64 (.f64 y x) (.f64 x z)) (if (<=.f64 x 7193326757668705/9671406556917033397649408) (+.f64 (.f64 y x) z) (.f64 (-.f64 y z) x)))
(if (<=.f64 x -5386910389865231/70368744177664) (-.f64 (.f64 y x) (.f64 x z)) (if (<=.f64 x 7193326757668705/9671406556917033397649408) (+.f64 z (.f64 y x)) (.f64 x (-.f64 y z))))
(if (<=.f64 x -5386910389865231/70368744177664) (.f64 (-.f64 y z) x) (if (<=.f64 x 7193326757668705/9671406556917033397649408) (+.f64 (.f64 y x) z) (*.f64 (-.f64 y z) x)))
(if (<=.f64 x -5386910389865231/70368744177664) (.f64 x (-.f64 y z)) (if (<=.f64 x 7193326757668705/9671406556917033397649408) (+.f64 z (.f64 y x)) (*.f64 x (-.f64 y z))))
(if (<=.f64 y -5110092123341517/8589934592) (+.f64 (.f64 y x) z) (if (<=.f64 y 8418933871711245/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (-.f64 z (.f64 z x)) (+.f64 (*.f64 y x) z)))
(if (<=.f64 y -5110092123341517/8589934592) (+.f64 z (.f64 y x)) (if (<=.f64 y 8418933871711245/1932268761508629172347675945465993672149463664853217499328617625725759571144780212268096883290961288981231808015751088588682539330521493827871454336733540374348490407411712) (-.f64 z (.f64 x z)) (+.f64 z (*.f64 y x))))
(if (<=.f64 z -6030666855511767/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) (-.f64 z (.f64 z x)) (if (<=.f64 z 8728648056171065/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056) (.f64 y x) (-.f64 z (*.f64 z x))))
(if (<=.f64 z -6030666855511767/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) (-.f64 z (.f64 x z)) (if (<=.f64 z 8728648056171065/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056) (.f64 y x) (-.f64 z (*.f64 x z))))
(if (<=.f64 x -2799999999999999997327311866530759511144725380551992854311543048574442425792577054152831541444608) (.f64 z (neg.f64 x)) (if (<=.f64 x -3046708736725055/5192296858534827628530496329220096) (.f64 y x) (if (<=.f64 x -1042278887602927/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) z (if (<=.f64 x -5838987838453659/16996415770136547158066822609678996074546979767265021542382212422412913915547271767653200072487337141404458543559888032491090538804886631661104639320530795262202600666732583009015300096) (.f64 y x) (if (<=.f64 x 7193326757668705/9671406556917033397649408) z (.f64 y x))))))
(if (<=.f64 x -3046708736725055/5192296858534827628530496329220096) (.f64 y x) (if (<=.f64 x -1042278887602927/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) z (if (<=.f64 x -5838987838453659/16996415770136547158066822609678996074546979767265021542382212422412913915547271767653200072487337141404458543559888032491090538804886631661104639320530795262202600666732583009015300096) (.f64 y x) (if (<=.f64 x 7193326757668705/9671406556917033397649408) z (*.f64 y x)))))
z

Compiler

Compiled 209 to 113 computations (45.9% saved)

soundness0.0ms (0%)

end185.0ms (3.2%)

Compiler: Compiled 182 to 69 computations (62.1% saved)

Iter	Nodes	Cost
0	9	210
1	17	192
2	39	156
3	57	156
4	81	156
5	133	156
6	249	156
7	404	156
8	570	156
9	724	156
10	738	156

Iter	Nodes	Cost
0	14	160
1	28	160
2	47	160
3	76	160
4	124	160
5	211	160
6	360	160
7	439	160
8	509	160
9	515	160

Iter	Nodes	Cost
0	9	210
1	17	192
2	39	156
3	57	156
4	81	156
5	133	156
6	249	156
7	404	156
8	570	156
9	724	156
10	738	156

Iter	Nodes	Cost
0	14	160
1	28	160
2	47	160
3	76	160
4	124	160
5	211	160
6	360	160
7	439	160
8	509	160
9	515	160

Iter	Nodes	Cost
0	9	210
1	17	192
2	39	156
3	57	156
4	81	156
5	133	156
6	249	156
7	404	156
8	570	156
9	724	156
10	738	156

Iter	Nodes	Cost
0	14	160
1	28	160
2	47	160
3	76	160
4	124	160
5	211	160
6	360	160
7	439	160
8	509	160
9	515	160