Details

analyze214.0ms (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)

sample1.1s (17.5%)

Results

939.0ms	8256×	body	256	valid
137.0ms	1242×	body	256	invalid

preprocess99.0ms (1.6%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	44
1	44	44
2	88	44
3	152	44
4	338	36
5	681	32
6	1139	32
7	1866	32
8	2487	32
9	2785	32
10	2860	32
11	2861	32
12	2861	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 (-.f64 1 x) y) (.f64 x z))
(+.f64 (.f64 (-.f64 1 y) x) (.f64 y z))
(+.f64 (.f64 (-.f64 1 z) y) (.f64 z x))
(+.f64 (.f64 (-.f64 1 x) z) (.f64 x y))

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify36.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	17	11
2	30	11
3	57	11
4	126	9
5	218	8
6	346	8
7	557	8
8	961	8
9	1141	8
10	1201	8
11	1211	8

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 1 x) y)
✓	0.0b	(+.f64 (.f64 (-.f64 1 x) y) (.f64 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	x	@	inf	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
1.0ms	y	@	0	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
1.0ms	x	@	0	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
1.0ms	x	@	-inf	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
1.0ms	y	@	-inf	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))

rewrite80.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

476×	`log-prod_binary64`
411×	`prod-exp_binary64`
382×	`fma-def_binary64`
353×	`exp-prod_binary64`
343×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	192	18
2	2622	18

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

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

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

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

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

simplify53.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

325×	`fma-def_binary64`
263×	`fma-neg_binary64`
69×	`cancel-sign-sub-inv_binary64`
53×	`distribute-rgt-in_binary64`
47×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	482
1	51	424
2	105	424
3	219	424
4	511	424
5	846	424
6	1139	424
7	1315	424
8	1331	424

Stop Event

1×

saturated

Counts

182 → 136

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 5 computations (66.7% saved)

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite57.0ms (0.9%)

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 z y) y)

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

Outputs

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

simplify48.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

422×	`fma-def_binary64`
271×	`fma-neg_binary64`
63×	`distribute-rgt-in_binary64`
42×	`unsub-neg_binary64`
40×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	270
1	60	264
2	116	264
3	230	264
4	403	264
5	771	264
6	1141	264
7	1370	264
8	1380	264

Stop Event

1×

saturated

Counts

57 → 33

Calls

Call 1

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

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

eval45.0ms (0.7%)

Compiler: Compiled 2286 to 1166 computations (49% saved)

prune33.0ms (0.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	161	8	169
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	163	8	171

Error

Counts

171 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	21.8b	(-.f64 y (*.f64 y x))
▶	0.0b	(+.f64 (*.f64 (-.f64 z y) x) y)
▶	0.0b	(fma.f64 (-.f64 1 x) y (*.f64 x z))
	30.1b	(+.f64 (.f64 y (neg.f64 x)) (.f64 x z))
	32.9b	y
▶	41.8b	(*.f64 z x)
▶	30.1b	(*.f64 (-.f64 z y) x)
	8.6b	(+.f64 (/.f64 (.f64 (-.f64 1 (.f64 x x)) y) (+.f64 1 x)) (*.f64 x z))

Compiler

Compiled 148 to 95 computations (35.8% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 10 computations (52.4% saved)

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite54.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

820×	`pow1_binary64`
756×	`add-log-exp_binary64`
756×	`log1p-expm1-u_binary64`
756×	`expm1-log1p-u_binary64`
740×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	162	11
2	1993	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify42.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

329×	`fma-def_binary64`
265×	`fma-neg_binary64`
63×	`distribute-rgt-in_binary64`
62×	`cancel-sign-sub-inv_binary64`
49×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	322
1	43	264
2	96	264
3	229	264
4	504	264
5	814	264
6	1141	264
7	1347	264
8	1365	264

Stop Event

1×

saturated

Counts

57 → 31

Calls

Call 1

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

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

localize4.0ms (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 z y) x)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series6.0ms (0.1%)

Counts

1 → 24

Calls

9 calls:

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

rewrite60.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify30.0ms (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 y x))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 y x)))

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 y (*.f64 y 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	y	@	0	(-.f64 y (*.f64 y x))
0.0ms	y	@	inf	(-.f64 y (*.f64 y x))
0.0ms	y	@	-inf	(-.f64 y (*.f64 y x))
0.0ms	x	@	inf	(-.f64 y (*.f64 y x))
0.0ms	x	@	-inf	(-.f64 y (*.f64 y 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 y (*.f64 y x))

Outputs

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

simplify26.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

124×	`fma-def_binary64`
69×	`fma-neg_binary64`
20×	`cancel-sign-sub-inv_binary64`
18×	`associate-r_binary64`
18×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	160
1	33	160
2	51	160
3	88	160
4	122	160
5	201	160
6	341	160
7	419	160
8	489	160
9	495	160

Stop Event

1×

saturated

Counts

62 → 44

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series4.0ms (0.1%)

Counts

1 → 27

Calls

9 calls:

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

rewrite68.0ms (1.1%)

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 z y) x) y)

Outputs

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

simplify48.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

428×	`fma-def_binary64`
267×	`fma-neg_binary64`
63×	`distribute-rgt-in_binary64`
42×	`unsub-neg_binary64`
40×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	288
1	57	228
2	113	192
3	228	192
4	401	192
5	772	192
6	1144	192
7	1373	192
8	1383	192

Stop Event

1×

saturated

Counts

62 → 47

Calls

Call 1

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

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

eval192.0ms (3.1%)

Compiler: Compiled 1957 to 672 computations (65.7% saved)

prune40.0ms (0.6%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	169	3	172
Fresh	1	2	3
Picked	0	1	1
Done	0	4	4
Total	170	10	180

Error

Counts

180 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	21.8b	(-.f64 y (*.f64 y x))
✓	0.0b	(+.f64 (*.f64 (-.f64 z y) x) y)
✓	0.0b	(fma.f64 (-.f64 1 x) y (*.f64 x z))
▶	12.1b	(+.f64 (*.f64 z x) y)
▶	30.1b	(+.f64 (.f64 z x) (.f64 (neg.f64 y) x))
	32.9b	y
✓	41.8b	(*.f64 z x)
▶	51.2b	(*.f64 y (neg.f64 x))
✓	30.1b	(*.f64 (-.f64 z y) x)
▶	8.6b	(+.f64 (/.f64 (.f64 (-.f64 1 (.f64 x x)) y) (+.f64 1 x)) (*.f64 x z))

Compiler

Compiled 91 to 59 computations (35.2% saved)

localize10.0ms (0.2%)

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

localize45.0ms (0.7%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series5.0ms (0.1%)

Counts

1 → 9

Calls

9 calls:

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

rewrite79.0ms (1.3%)

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 z x) y)

Outputs

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

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	24
1	6	24

Stop Event

1×

saturated

Counts

44 → 37

Calls

Call 1

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

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

localize94.0ms (1.5%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite67.0ms (1.1%)

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

Outputs

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

simplify60.0ms (1%)

Algorithm

1×	egg-herbie

Rules

168×	`fma-def_binary64`
110×	`fma-neg_binary64`
38×	`unsub-neg_binary64`
35×	`cancel-sign-sub-inv_binary64`
29×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	330
1	36	240
2	80	240
3	159	240
4	322	240
5	487	240
6	655	240
7	728	240
8	730	240

Stop Event

1×

saturated

Counts

80 → 52

Calls

Call 1

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

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

localize20.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (.f64 (-.f64 1 (.f64 x x)) y) (+.f64 1 x)) (*.f64 x z))
✓	1.9b	(.f64 (-.f64 1 (.f64 x x)) y)
✓	6.1b	(/.f64 (.f64 (-.f64 1 (.f64 x x)) y) (+.f64 1 x))

Compiler

Compiled 54 to 26 computations (51.9% saved)

series105.0ms (1.7%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
88.0ms	y	@	inf	(+.f64 (/.f64 (.f64 (-.f64 1 (.f64 x x)) y) (+.f64 1 x)) (*.f64 x z))
5.0ms	z	@	0	(+.f64 (/.f64 (.f64 (-.f64 1 (.f64 x x)) y) (+.f64 1 x)) (*.f64 x z))
1.0ms	y	@	0	(/.f64 (.f64 (-.f64 1 (.f64 x x)) y) (+.f64 1 x))
1.0ms	x	@	0	(/.f64 (.f64 (-.f64 1 (.f64 x x)) y) (+.f64 1 x))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 1 (.f64 x x)) y) (+.f64 1 x))

rewrite99.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

708×	`log-prod_binary64`
589×	`fma-def_binary64`
252×	`fma-neg_binary64`
247×	`pow1/3_binary64`
241×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	269	28
2	4032	28

Stop Event

1×	node limit

Counts

3 → 166

Calls

Call 1

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

Outputs

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

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

simplify106.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

675×	`fma-neg_binary64`
658×	`times-frac_binary64`
629×	`fma-def_binary64`
491×	`associate-/r/_binary64`
470×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	1151
1	95	1112
2	192	1004
3	456	1004
4	1434	1004
5	3662	1004
6	7662	1004

Stop Event

1×	node limit

Counts

250 → 194

Calls

Call 1

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

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

eval113.0ms (1.8%)

Compiler: Compiled 4390 to 2147 computations (51.1% saved)

prune118.0ms (1.9%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	279	4	283
Fresh	1	0	1
Picked	1	0	1
Done	2	6	8
Total	283	10	293

Error

Counts

293 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	12.1b	(+.f64 (*.f64 z x) y)
▶	6.7b	(+.f64 (.f64 (/.f64 (-.f64 1 (.f64 x x)) 1) (/.f64 y (+.f64 1 x))) (*.f64 x z))
✓	21.8b	(-.f64 y (*.f64 y x))
✓	0.0b	(+.f64 (*.f64 (-.f64 z y) x) y)
✓	41.8b	(*.f64 z x)
▶	38.6b	(+.f64 (/.f64 (.f64 y (.f64 x (neg.f64 x))) (+.f64 1 x)) (*.f64 x z))
✓	30.1b	(*.f64 (-.f64 z y) x)
	32.9b	y
✓	51.2b	(*.f64 y (neg.f64 x))
▶	30.1b	(-.f64 (.f64 z x) (.f64 x y))

Compiler

Compiled 98 to 64 computations (34.7% saved)

localize22.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (/.f64 (-.f64 1 (.f64 x x)) 1) (/.f64 y (+.f64 1 x))) (*.f64 x z))
✓	0.0b	(/.f64 y (+.f64 1 x))
✓	7.3b	(.f64 (/.f64 (-.f64 1 (.f64 x x)) 1) (/.f64 y (+.f64 1 x)))

Compiler

Compiled 63 to 34 computations (46% saved)

series11.0ms (0.2%)

Counts

3 → 72

Calls

21 calls:

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

rewrite159.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

714×	`log-prod_binary64`
597×	`fma-def_binary64`
268×	`log-div_binary64`
256×	`fma-neg_binary64`
246×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	305	43
2	4283	43

Stop Event

1×	node limit

Counts

3 → 211

Calls

Call 1

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

Outputs

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

simplify75.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

681×	`fma-def_binary64`
353×	`distribute-rgt-neg-in_binary64`
319×	`associate-l_binary64`
288×	`distribute-lft-neg-in_binary64`
285×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	58	1109
1	144	1072
2	359	958
3	1124	940
4	4708	926

Stop Event

1×	node limit

Counts

283 → 243

Calls

Call 1

Inputs
y
(+.f64 y (.f64 -1 (.f64 y x)))
(+.f64 y (.f64 -1 (.f64 y x)))
(+.f64 y (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 y (.f64 -1 (.f64 y x)))
(+.f64 y (.f64 -1 (.f64 y x)))
(+.f64 y (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 y (.f64 -1 (.f64 y x)))
(+.f64 y (.f64 -1 (.f64 y x)))
(+.f64 y (.f64 -1 (.f64 y x)))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
y
(+.f64 y (.f64 -1 (.f64 y x)))
(+.f64 y (+.f64 (.f64 -1 (.f64 y x)) (*.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 3))) (+.f64 y (+.f64 (.f64 -1 (.f64 y x)) (*.f64 y (pow.f64 x 2)))))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 y x) (+.f64 (/.f64 y (pow.f64 x 3)) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (/.f64 y x) (+.f64 (.f64 -1 (/.f64 y (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 3)) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 y x) (+.f64 (/.f64 y (pow.f64 x 3)) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (/.f64 y x) (+.f64 (.f64 -1 (/.f64 y (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 3)) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
y
(+.f64 (*.f64 (-.f64 z y) x) y)
(+.f64 (*.f64 (-.f64 z y) x) y)
(+.f64 (*.f64 (-.f64 z y) x) y)
(.f64 (+.f64 z (.f64 -1 y)) x)
(+.f64 (.f64 (+.f64 z (.f64 -1 y)) x) y)
(+.f64 (.f64 (+.f64 z (.f64 -1 y)) x) y)
(+.f64 (.f64 (+.f64 z (.f64 -1 y)) x) y)
(.f64 -1 (.f64 (+.f64 (*.f64 -1 z) y) x))
(+.f64 y (.f64 -1 (.f64 (+.f64 (*.f64 -1 z) y) x)))
(+.f64 y (.f64 -1 (.f64 (+.f64 (*.f64 -1 z) y) x)))
(+.f64 y (.f64 -1 (.f64 (+.f64 (*.f64 -1 z) y) x)))
(*.f64 z x)
(+.f64 (.f64 y (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (pow.f64 x 2) (+.f64 1 x)))) (.f64 z x))
(+.f64 (.f64 y (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (pow.f64 x 2) (+.f64 1 x)))) (.f64 z x))
(+.f64 (.f64 y (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (pow.f64 x 2) (+.f64 1 x)))) (.f64 z x))
(*.f64 y (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (pow.f64 x 2) (+.f64 1 x))))
(+.f64 (.f64 z x) (.f64 y (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (pow.f64 x 2) (+.f64 1 x)))))
(+.f64 (.f64 z x) (.f64 y (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (pow.f64 x 2) (+.f64 1 x)))))
(+.f64 (.f64 z x) (.f64 y (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (pow.f64 x 2) (+.f64 1 x)))))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(+.f64 (.f64 z x) (/.f64 (.f64 (-.f64 1 (pow.f64 x 2)) y) (+.f64 1 x)))
(+.f64 (.f64 z x) (/.f64 (.f64 (-.f64 1 (pow.f64 x 2)) y) (+.f64 1 x)))
(+.f64 (.f64 z x) (/.f64 (.f64 (-.f64 1 (pow.f64 x 2)) y) (+.f64 1 x)))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(+.f64 (.f64 z x) (/.f64 (.f64 (-.f64 1 (pow.f64 x 2)) y) (+.f64 1 x)))
(+.f64 (.f64 z x) (/.f64 (.f64 (-.f64 1 (pow.f64 x 2)) y) (+.f64 1 x)))
(+.f64 (.f64 z x) (/.f64 (.f64 (-.f64 1 (pow.f64 x 2)) y) (+.f64 1 x)))
(*.f64 z x)
(+.f64 (.f64 z x) (/.f64 (.f64 (-.f64 1 (pow.f64 x 2)) y) (+.f64 1 x)))
(+.f64 (.f64 z x) (/.f64 (.f64 (-.f64 1 (pow.f64 x 2)) y) (+.f64 1 x)))
(+.f64 (.f64 z x) (/.f64 (.f64 (-.f64 1 (pow.f64 x 2)) y) (+.f64 1 x)))
(*.f64 z x)
(+.f64 (.f64 z x) (/.f64 (.f64 (-.f64 1 (pow.f64 x 2)) y) (+.f64 1 x)))
(+.f64 (.f64 z x) (/.f64 (.f64 (-.f64 1 (pow.f64 x 2)) y) (+.f64 1 x)))
(+.f64 (.f64 z x) (/.f64 (.f64 (-.f64 1 (pow.f64 x 2)) y) (+.f64 1 x)))

Outputs
y
(+.f64 y (.f64 -1 (.f64 y x)))
(+.f64 y (*.f64 (neg.f64 y) x))
(-.f64 y (*.f64 y x))
(+.f64 y (.f64 -1 (.f64 y x)))
(+.f64 y (*.f64 (neg.f64 y) x))
(-.f64 y (*.f64 y x))
(+.f64 y (.f64 -1 (.f64 y x)))
(+.f64 y (*.f64 (neg.f64 y) x))
(-.f64 y (*.f64 y x))
(.f64 -1 (.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 y (.f64 -1 (.f64 y x)))
(+.f64 y (*.f64 (neg.f64 y) x))
(-.f64 y (*.f64 y x))
(+.f64 y (.f64 -1 (.f64 y x)))
(+.f64 y (*.f64 (neg.f64 y) x))
(-.f64 y (*.f64 y x))
(+.f64 y (.f64 -1 (.f64 y x)))
(+.f64 y (*.f64 (neg.f64 y) x))
(-.f64 y (*.f64 y x))
(.f64 -1 (.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 y (.f64 -1 (.f64 y x)))
(+.f64 y (*.f64 (neg.f64 y) x))
(-.f64 y (*.f64 y x))
(+.f64 y (.f64 -1 (.f64 y x)))
(+.f64 y (*.f64 (neg.f64 y) x))
(-.f64 y (*.f64 y x))
(+.f64 y (.f64 -1 (.f64 y x)))
(+.f64 y (*.f64 (neg.f64 y) x))
(-.f64 y (*.f64 y x))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (+.f64 x 1) y))
(.f64 (/.f64 y (+.f64 x 1)) (-.f64 1 (.f64 x x)))
(.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1)))
(.f64 y (/.f64 (-.f64 1 (.f64 x x)) (+.f64 x 1)))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (+.f64 x 1) y))
(.f64 (/.f64 y (+.f64 x 1)) (-.f64 1 (.f64 x x)))
(.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1)))
(.f64 y (/.f64 (-.f64 1 (.f64 x x)) (+.f64 x 1)))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (+.f64 x 1) y))
(.f64 (/.f64 y (+.f64 x 1)) (-.f64 1 (.f64 x x)))
(.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1)))
(.f64 y (/.f64 (-.f64 1 (.f64 x x)) (+.f64 x 1)))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (+.f64 x 1) y))
(.f64 (/.f64 y (+.f64 x 1)) (-.f64 1 (.f64 x x)))
(.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1)))
(.f64 y (/.f64 (-.f64 1 (.f64 x x)) (+.f64 x 1)))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (+.f64 x 1) y))
(.f64 (/.f64 y (+.f64 x 1)) (-.f64 1 (.f64 x x)))
(.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1)))
(.f64 y (/.f64 (-.f64 1 (.f64 x x)) (+.f64 x 1)))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (+.f64 x 1) y))
(.f64 (/.f64 y (+.f64 x 1)) (-.f64 1 (.f64 x x)))
(.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1)))
(.f64 y (/.f64 (-.f64 1 (.f64 x x)) (+.f64 x 1)))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (+.f64 x 1) y))
(.f64 (/.f64 y (+.f64 x 1)) (-.f64 1 (.f64 x x)))
(.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1)))
(.f64 y (/.f64 (-.f64 1 (.f64 x x)) (+.f64 x 1)))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (+.f64 x 1) y))
(.f64 (/.f64 y (+.f64 x 1)) (-.f64 1 (.f64 x x)))
(.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1)))
(.f64 y (/.f64 (-.f64 1 (.f64 x x)) (+.f64 x 1)))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (+.f64 x 1) y))
(.f64 (/.f64 y (+.f64 x 1)) (-.f64 1 (.f64 x x)))
(.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1)))
(.f64 y (/.f64 (-.f64 1 (.f64 x x)) (+.f64 x 1)))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (+.f64 x 1) y))
(.f64 (/.f64 y (+.f64 x 1)) (-.f64 1 (.f64 x x)))
(.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1)))
(.f64 y (/.f64 (-.f64 1 (.f64 x x)) (+.f64 x 1)))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (+.f64 x 1) y))
(.f64 (/.f64 y (+.f64 x 1)) (-.f64 1 (.f64 x x)))
(.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1)))
(.f64 y (/.f64 (-.f64 1 (.f64 x x)) (+.f64 x 1)))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (+.f64 x 1) y))
(.f64 (/.f64 y (+.f64 x 1)) (-.f64 1 (.f64 x x)))
(.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1)))
(.f64 y (/.f64 (-.f64 1 (.f64 x x)) (+.f64 x 1)))
y
(+.f64 y (.f64 -1 (.f64 y x)))
(+.f64 y (*.f64 (neg.f64 y) x))
(-.f64 y (*.f64 y x))
(+.f64 y (+.f64 (.f64 -1 (.f64 y x)) (*.f64 y (pow.f64 x 2))))
(+.f64 y (fma.f64 -1 (.f64 y x) (.f64 y (*.f64 x x))))
(+.f64 y (fma.f64 y (.f64 x x) (.f64 x (neg.f64 y))))
(+.f64 y (.f64 (.f64 y x) (+.f64 -1 x)))
(*.f64 y (-.f64 (fma.f64 x x 1) x))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 3))) (+.f64 y (+.f64 (.f64 -1 (.f64 y x)) (*.f64 y (pow.f64 x 2)))))
(fma.f64 -1 (.f64 y (pow.f64 x 3)) (+.f64 y (fma.f64 -1 (.f64 y x) (.f64 y (.f64 x x)))))
(+.f64 (fma.f64 y (.f64 x x) (.f64 x (neg.f64 y))) (fma.f64 (neg.f64 y) (pow.f64 x 3) y))
(+.f64 y (fma.f64 (pow.f64 x 3) (neg.f64 y) (.f64 (.f64 y x) (+.f64 -1 x))))
(.f64 (fma.f64 x x 1) (-.f64 y (.f64 y x)))
(.f64 (-.f64 y (.f64 y x)) (fma.f64 x x 1))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 y x) (/.f64 (neg.f64 y) (*.f64 x x)))
(-.f64 (/.f64 y x) (/.f64 y (*.f64 x x)))
(-.f64 (/.f64 y x) (/.f64 (/.f64 y x) x))
(+.f64 (/.f64 y x) (+.f64 (/.f64 y (pow.f64 x 3)) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (/.f64 y x) (+.f64 (/.f64 (neg.f64 y) (*.f64 x x)) (/.f64 y (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 y x) (/.f64 y (*.f64 x x))) (/.f64 y (pow.f64 x 3)))
(+.f64 (/.f64 y x) (-.f64 (/.f64 y (pow.f64 x 3)) (/.f64 y (*.f64 x x))))
(fma.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 y x) (/.f64 y (pow.f64 x 3)))
(+.f64 (/.f64 y x) (+.f64 (.f64 -1 (/.f64 y (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 3)) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(+.f64 (/.f64 y x) (fma.f64 -1 (/.f64 y (pow.f64 x 4)) (+.f64 (/.f64 (neg.f64 y) (*.f64 x x)) (/.f64 y (pow.f64 x 3)))))
(+.f64 (-.f64 (/.f64 y (pow.f64 x 3)) (/.f64 y (*.f64 x x))) (-.f64 (/.f64 y x) (/.f64 y (pow.f64 x 4))))
(+.f64 (/.f64 y x) (-.f64 (/.f64 y (pow.f64 x 3)) (+.f64 (/.f64 y (*.f64 x x)) (/.f64 y (pow.f64 x 4)))))
(-.f64 (fma.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 y x) (/.f64 y (pow.f64 x 3))) (/.f64 y (pow.f64 x 4)))
(*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 (/.f64 y x) (/.f64 y (pow.f64 x 3))))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 y x) (/.f64 (neg.f64 y) (*.f64 x x)))
(-.f64 (/.f64 y x) (/.f64 y (*.f64 x x)))
(-.f64 (/.f64 y x) (/.f64 (/.f64 y x) x))
(+.f64 (/.f64 y x) (+.f64 (/.f64 y (pow.f64 x 3)) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))
(+.f64 (/.f64 y x) (+.f64 (/.f64 (neg.f64 y) (*.f64 x x)) (/.f64 y (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 y x) (/.f64 y (*.f64 x x))) (/.f64 y (pow.f64 x 3)))
(+.f64 (/.f64 y x) (-.f64 (/.f64 y (pow.f64 x 3)) (/.f64 y (*.f64 x x))))
(fma.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 y x) (/.f64 y (pow.f64 x 3)))
(+.f64 (/.f64 y x) (+.f64 (.f64 -1 (/.f64 y (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 3)) (.f64 -1 (/.f64 y (pow.f64 x 2))))))
(+.f64 (/.f64 y x) (fma.f64 -1 (/.f64 y (pow.f64 x 4)) (+.f64 (/.f64 (neg.f64 y) (*.f64 x x)) (/.f64 y (pow.f64 x 3)))))
(+.f64 (-.f64 (/.f64 y (pow.f64 x 3)) (/.f64 y (*.f64 x x))) (-.f64 (/.f64 y x) (/.f64 y (pow.f64 x 4))))
(+.f64 (/.f64 y x) (-.f64 (/.f64 y (pow.f64 x 3)) (+.f64 (/.f64 y (*.f64 x x)) (/.f64 y (pow.f64 x 4)))))
(-.f64 (fma.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 y x) (/.f64 y (pow.f64 x 3))) (/.f64 y (pow.f64 x 4)))
(*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 (/.f64 y x) (/.f64 y (pow.f64 x 3))))
y
(+.f64 (*.f64 (-.f64 z y) x) y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 (-.f64 z y) x) y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 (-.f64 z y) x) y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(.f64 (+.f64 z (.f64 -1 y)) x)
(*.f64 x (-.f64 z y))
(+.f64 (.f64 (+.f64 z (.f64 -1 y)) x) y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (.f64 (+.f64 z (.f64 -1 y)) x) y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 (.f64 (+.f64 z (.f64 -1 y)) x) y)
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(.f64 -1 (.f64 (+.f64 (*.f64 -1 z) y) x))
(*.f64 x (-.f64 z y))
(+.f64 y (.f64 -1 (.f64 (+.f64 (*.f64 -1 z) y) x)))
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 y (.f64 -1 (.f64 (+.f64 (*.f64 -1 z) y) x)))
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(+.f64 y (.f64 -1 (.f64 (+.f64 (*.f64 -1 z) y) x)))
(fma.f64 (-.f64 z y) x y)
(fma.f64 x (-.f64 z y) y)
(*.f64 z x)
(*.f64 x z)
(+.f64 (.f64 y (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (pow.f64 x 2) (+.f64 1 x)))) (.f64 z x))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (.f64 x x) (+.f64 x 1))) (.f64 x z))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 x 1) x))) (*.f64 x z))
(fma.f64 x z (.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1))))
(fma.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1)) (.f64 x z))
(+.f64 (.f64 y (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (pow.f64 x 2) (+.f64 1 x)))) (.f64 z x))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (.f64 x x) (+.f64 x 1))) (.f64 x z))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 x 1) x))) (*.f64 x z))
(fma.f64 x z (.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1))))
(fma.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1)) (.f64 x z))
(+.f64 (.f64 y (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (pow.f64 x 2) (+.f64 1 x)))) (.f64 z x))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (.f64 x x) (+.f64 x 1))) (.f64 x z))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 x 1) x))) (*.f64 x z))
(fma.f64 x z (.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1))))
(fma.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1)) (.f64 x z))
(*.f64 y (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (pow.f64 x 2) (+.f64 1 x))))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (+.f64 x 1) y))
(.f64 (/.f64 y (+.f64 x 1)) (-.f64 1 (.f64 x x)))
(.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1)))
(.f64 y (/.f64 (-.f64 1 (.f64 x x)) (+.f64 x 1)))
(+.f64 (.f64 z x) (.f64 y (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (pow.f64 x 2) (+.f64 1 x)))))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (.f64 x x) (+.f64 x 1))) (.f64 x z))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 x 1) x))) (*.f64 x z))
(fma.f64 x z (.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1))))
(fma.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1)) (.f64 x z))
(+.f64 (.f64 z x) (.f64 y (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (pow.f64 x 2) (+.f64 1 x)))))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (.f64 x x) (+.f64 x 1))) (.f64 x z))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 x 1) x))) (*.f64 x z))
(fma.f64 x z (.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1))))
(fma.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1)) (.f64 x z))
(+.f64 (.f64 z x) (.f64 y (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (pow.f64 x 2) (+.f64 1 x)))))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (.f64 x x) (+.f64 x 1))) (.f64 x z))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 x 1) x))) (*.f64 x z))
(fma.f64 x z (.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1))))
(fma.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1)) (.f64 x z))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (+.f64 x 1) y))
(.f64 (/.f64 y (+.f64 x 1)) (-.f64 1 (.f64 x x)))
(.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1)))
(.f64 y (/.f64 (-.f64 1 (.f64 x x)) (+.f64 x 1)))
(+.f64 (.f64 z x) (/.f64 (.f64 (-.f64 1 (pow.f64 x 2)) y) (+.f64 1 x)))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (.f64 x x) (+.f64 x 1))) (.f64 x z))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 x 1) x))) (*.f64 x z))
(fma.f64 x z (.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1))))
(fma.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1)) (.f64 x z))
(+.f64 (.f64 z x) (/.f64 (.f64 (-.f64 1 (pow.f64 x 2)) y) (+.f64 1 x)))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (.f64 x x) (+.f64 x 1))) (.f64 x z))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 x 1) x))) (*.f64 x z))
(fma.f64 x z (.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1))))
(fma.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1)) (.f64 x z))
(+.f64 (.f64 z x) (/.f64 (.f64 (-.f64 1 (pow.f64 x 2)) y) (+.f64 1 x)))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (.f64 x x) (+.f64 x 1))) (.f64 x z))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 x 1) x))) (*.f64 x z))
(fma.f64 x z (.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1))))
(fma.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1)) (.f64 x z))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (+.f64 x 1) y))
(.f64 (/.f64 y (+.f64 x 1)) (-.f64 1 (.f64 x x)))
(.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1)))
(.f64 y (/.f64 (-.f64 1 (.f64 x x)) (+.f64 x 1)))
(+.f64 (.f64 z x) (/.f64 (.f64 (-.f64 1 (pow.f64 x 2)) y) (+.f64 1 x)))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (.f64 x x) (+.f64 x 1))) (.f64 x z))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 x 1) x))) (*.f64 x z))
(fma.f64 x z (.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1))))
(fma.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1)) (.f64 x z))
(+.f64 (.f64 z x) (/.f64 (.f64 (-.f64 1 (pow.f64 x 2)) y) (+.f64 1 x)))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (.f64 x x) (+.f64 x 1))) (.f64 x z))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 x 1) x))) (*.f64 x z))
(fma.f64 x z (.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1))))
(fma.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1)) (.f64 x z))
(+.f64 (.f64 z x) (/.f64 (.f64 (-.f64 1 (pow.f64 x 2)) y) (+.f64 1 x)))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (.f64 x x) (+.f64 x 1))) (.f64 x z))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 x 1) x))) (*.f64 x z))
(fma.f64 x z (.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1))))
(fma.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1)) (.f64 x z))
(*.f64 z x)
(*.f64 x z)
(+.f64 (.f64 z x) (/.f64 (.f64 (-.f64 1 (pow.f64 x 2)) y) (+.f64 1 x)))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (.f64 x x) (+.f64 x 1))) (.f64 x z))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 x 1) x))) (*.f64 x z))
(fma.f64 x z (.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1))))
(fma.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1)) (.f64 x z))
(+.f64 (.f64 z x) (/.f64 (.f64 (-.f64 1 (pow.f64 x 2)) y) (+.f64 1 x)))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (.f64 x x) (+.f64 x 1))) (.f64 x z))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 x 1) x))) (*.f64 x z))
(fma.f64 x z (.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1))))
(fma.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1)) (.f64 x z))
(+.f64 (.f64 z x) (/.f64 (.f64 (-.f64 1 (pow.f64 x 2)) y) (+.f64 1 x)))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (.f64 x x) (+.f64 x 1))) (.f64 x z))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 x 1) x))) (*.f64 x z))
(fma.f64 x z (.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1))))
(fma.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1)) (.f64 x z))
(*.f64 z x)
(*.f64 x z)
(+.f64 (.f64 z x) (/.f64 (.f64 (-.f64 1 (pow.f64 x 2)) y) (+.f64 1 x)))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (.f64 x x) (+.f64 x 1))) (.f64 x z))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 x 1) x))) (*.f64 x z))
(fma.f64 x z (.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1))))
(fma.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1)) (.f64 x z))
(+.f64 (.f64 z x) (/.f64 (.f64 (-.f64 1 (pow.f64 x 2)) y) (+.f64 1 x)))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (.f64 x x) (+.f64 x 1))) (.f64 x z))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 x 1) x))) (*.f64 x z))
(fma.f64 x z (.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1))))
(fma.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1)) (.f64 x z))
(+.f64 (.f64 z x) (/.f64 (.f64 (-.f64 1 (pow.f64 x 2)) y) (+.f64 1 x)))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (.f64 x x) (+.f64 x 1))) (.f64 x z))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 x 1) x))) (*.f64 x z))
(fma.f64 x z (.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1))))
(fma.f64 (-.f64 1 (.f64 x x)) (/.f64 y (+.f64 x 1)) (.f64 x z))

localize37.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (.f64 y (.f64 x (neg.f64 x))) (+.f64 1 x)) (*.f64 x z))
✓	6.2b	(/.f64 (.f64 y (.f64 x (neg.f64 x))) (+.f64 1 x))
✓	7.7b	(.f64 y (.f64 x (neg.f64 x)))

Compiler

Compiled 49 to 17 computations (65.3% saved)

series10.0ms (0.2%)

Counts

3 → 84

Calls

21 calls:

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

rewrite134.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`log-prod_binary64`
497×	`fma-def_binary64`
309×	`pow2_binary64`
303×	`egg-rr`
261×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	263	37
2	4087	37

Stop Event

1×	node limit

Counts

3 → 384

Calls

Call 1

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

Outputs

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

simplify101.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

608×	`fma-neg_binary64`
597×	`sub-neg_binary64`
460×	`fma-def_binary64`
418×	`distribute-rgt-neg-in_binary64`
373×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	1188
1	193	1138
2	518	1111
3	1797	1047
4	6062	1047

Stop Event

1×	node limit

Counts

468 → 424

Calls

Call 1

Inputs
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 1 x)))
(.f64 -1 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 1 x)))
(.f64 -1 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 1 x)))
(.f64 -1 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 1 x)))
(.f64 -1 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 1 x)))
(.f64 -1 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 1 x)))
(.f64 -1 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 1 x)))
(.f64 -1 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 1 x)))
(.f64 -1 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 1 x)))
(.f64 -1 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 1 x)))
(.f64 -1 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 1 x)))
(.f64 -1 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 1 x)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 y (pow.f64 x 3)) (.f64 -1 (*.f64 y (pow.f64 x 2))))
(+.f64 (.f64 y (pow.f64 x 3)) (+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) (.f64 -1 (*.f64 y (pow.f64 x 4)))))
(+.f64 (.f64 y (pow.f64 x 3)) (+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) (+.f64 (.f64 y (pow.f64 x 5)) (.f64 -1 (.f64 y (pow.f64 x 4))))))
(.f64 -1 (.f64 y x))
(+.f64 y (.f64 -1 (.f64 y x)))
(+.f64 y (+.f64 (.f64 -1 (/.f64 y x)) (.f64 -1 (*.f64 y x))))
(+.f64 y (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 y x)) (.f64 -1 (*.f64 y x)))))
(.f64 -1 (.f64 y x))
(+.f64 y (.f64 -1 (.f64 y x)))
(+.f64 y (+.f64 (.f64 -1 (/.f64 y x)) (.f64 -1 (*.f64 y x))))
(+.f64 y (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 y x)) (.f64 -1 (*.f64 y x)))))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (+.f64 1 x))))
(+.f64 (.f64 z x) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (+.f64 1 x))))
(+.f64 (.f64 z x) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (+.f64 1 x))))
(.f64 -1 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 1 x)))
(+.f64 (.f64 z x) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (+.f64 1 x))))
(+.f64 (.f64 z x) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (+.f64 1 x))))
(+.f64 (.f64 z x) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (+.f64 1 x))))
(.f64 -1 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 1 x)))
(+.f64 (.f64 z x) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (+.f64 1 x))))
(+.f64 (.f64 z x) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (+.f64 1 x))))
(+.f64 (.f64 z x) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (+.f64 1 x))))
(*.f64 z x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) (*.f64 z x))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) (+.f64 (.f64 y (pow.f64 x 3)) (.f64 z x)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) (+.f64 (.f64 y (pow.f64 x 3)) (+.f64 (.f64 z x) (.f64 -1 (.f64 y (pow.f64 x 4))))))
(.f64 (+.f64 z (.f64 -1 y)) x)
(+.f64 (.f64 (+.f64 z (.f64 -1 y)) x) y)
(+.f64 (.f64 (+.f64 z (.f64 -1 y)) x) (+.f64 y (*.f64 -1 (/.f64 y x))))
(+.f64 (.f64 (+.f64 z (.f64 -1 y)) x) (+.f64 y (+.f64 (/.f64 y (pow.f64 x 2)) (*.f64 -1 (/.f64 y x)))))
(.f64 -1 (.f64 (+.f64 (*.f64 -1 z) y) x))
(+.f64 y (.f64 -1 (.f64 (+.f64 (*.f64 -1 z) y) x)))
(+.f64 y (+.f64 (.f64 -1 (/.f64 y x)) (.f64 -1 (.f64 (+.f64 (.f64 -1 z) y) x))))
(+.f64 y (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 y x)) (.f64 -1 (.f64 (+.f64 (.f64 -1 z) y) x)))))
(.f64 -1 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 1 x)))
(+.f64 (.f64 z x) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (+.f64 1 x))))
(+.f64 (.f64 z x) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (+.f64 1 x))))
(+.f64 (.f64 z x) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (+.f64 1 x))))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (+.f64 1 x))))
(+.f64 (.f64 z x) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (+.f64 1 x))))
(+.f64 (.f64 z x) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (+.f64 1 x))))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (+.f64 1 x))))
(+.f64 (.f64 z x) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (+.f64 1 x))))
(+.f64 (.f64 z x) (.f64 -1 (/.f64 (*.f64 y (pow.f64 x 2)) (+.f64 1 x))))

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series8.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite75.0ms (1.2%)

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 z x) (.f64 x y))

Outputs

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

simplify68.0ms (1.1%)

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

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

eval598.0ms (9.5%)

Compiler: Compiled 15411 to 6855 computations (55.5% saved)

prune122.0ms (1.9%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	721	2	723
Fresh	0	1	1
Picked	0	1	1
Done	2	6	8
Total	723	10	733

Error

Counts

733 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	21.8b	(-.f64 y (*.f64 y x))
✓	0.0b	(+.f64 (*.f64 (-.f64 z y) x) y)
✓	30.1b	(*.f64 (-.f64 z y) x)
	32.9b	y
	30.1b	(.f64 x (-.f64 z (/.f64 (.f64 y x) (+.f64 x 1))))
✓	12.1b	(+.f64 (*.f64 z x) y)
	36.6b	(-.f64 (.f64 x z) (/.f64 y (/.f64 (+.f64 x 1) (.f64 x x))))
✓	41.8b	(*.f64 z x)
✓	51.2b	(*.f64 y (neg.f64 x))
✓	30.1b	(-.f64 (.f64 z x) (.f64 x y))

Compiler

Compiled 91 to 58 computations (36.3% saved)

regimes51.0ms (0.8%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 174 to 77 computations (55.7% saved)

regimes48.0ms (0.8%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 166 to 74 computations (55.4% saved)

regimes56.0ms (0.9%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	z
16.0ms	x
16.0ms	y

Results

Error	Segments	Branch
0.7b	3	`x`
6.5b	3	`y`
6.6b	3	`z`

Compiler

Compiled 46 to 22 computations (52.2% saved)

bsearch36.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	4.801897650124731e-28	7.792922744608213e-15
18.0ms	-76.55260091418698	-0.005735724523951155

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes72.0ms (1.2%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

31.0ms	x
22.0ms	z
17.0ms	y

Results

Error	Segments	Branch
0.7b	3	`x`
6.5b	3	`y`
6.6b	3	`z`

Compiler

Compiled 39 to 20 computations (48.7% saved)

bsearch62.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	4.801897650124731e-28	7.792922744608213e-15
31.0ms	-76.55260091418698	-0.005735724523951155

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes104.0ms (1.7%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

38.0ms	z
35.0ms	x
29.0ms	y

Results

Error	Segments	Branch
6.8b	4	`x`
6.5b	3	`y`
6.6b	3	`z`

Compiler

Compiled 34 to 18 computations (47.1% saved)

bsearch37.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	5.0943697288809915e+101	1.0644643551773518e+103
19.0ms	-594893.0191040874	-213268.09469136686

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes37.0ms (0.6%)

Counts

5 → 4

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	x
13.0ms	y
5.0ms	z

Results

Error	Segments	Branch
7.3b	4	`x`
10.7b	3	`y`
12.1b	1	`z`

Compiler

Compiled 29 to 16 computations (44.8% saved)

bsearch101.0ms (1.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
17.0ms	7.169444529973968e+19	8.012277499643158e+21
18.0ms	-76.55260091418698	-0.005735724523951155
65.0ms	-2.5047587778070167e+102	-2.721183105070942e+96

Compiler

Compiled 171 to 121 computations (29.2% saved)

regimes66.0ms (1.1%)

Counts

4 → 6

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	z
23.0ms	x
18.0ms	y

Results

Error	Segments	Branch
16.6b	6	`x`
22.4b	5	`y`
25.8b	5	`z`

Compiler

Compiled 24 to 15 computations (37.5% saved)

bsearch220.0ms (3.5%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
104.0ms	7.169444529973968e+19	8.012277499643158e+21
17.0ms	1.7961782705043693e-89	5.332837954335009e-87
18.0ms	-4.0873565926724834e-125	-5.4973083449187865e-127
17.0ms	-76.55260091418698	-0.005735724523951155
63.0ms	-2.5047587778070167e+102	-2.721183105070942e+96

Compiler

Compiled 153 to 112 computations (26.8% saved)

regimes297.0ms (4.7%)

Counts

3 → 3

Calls

Call 1

Inputs
y
y
(*.f64 z x)

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

Calls

3 calls:

161.0ms	z
124.0ms	x
11.0ms	y

Results

Error	Segments	Branch
21.5b	3	`x`
23.9b	3	`y`
25.8b	5	`z`

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch159.0ms (2.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	1.7961782705043693e-89	5.332837954335009e-87
141.0ms	-4.0873565926724834e-125	-5.4973083449187865e-127

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes11.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
y
y

Outputs
y

Calls

3 calls:

3.0ms	z
3.0ms	y
3.0ms	x

Results

Error	Segments	Branch
32.9b	1	`x`
32.9b	1	`y`
32.9b	1	`z`

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64`
7×	`*-commutative_binary64`
7×	`sub-neg_binary64`
3×	`cancel-sign-sub-inv_binary64`
3×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	244
1	76	244
2	88	244
3	93	244
4	95	244

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (-.f64 1 x) y (*.f64 x z))
(+.f64 (*.f64 (-.f64 z y) x) y)
(if (<=.f64 x -5386910389865231/70368744177664) (-.f64 (.f64 z x) (.f64 x y)) (if (<=.f64 x 5354294798242729/11150372599265311570767859136324180752990208) (+.f64 (.f64 z x) y) (.f64 (-.f64 z y) x)))
(if (<=.f64 x -5386910389865231/70368744177664) (.f64 (-.f64 z y) x) (if (<=.f64 x 5354294798242729/11150372599265311570767859136324180752990208) (+.f64 (.f64 z x) y) (*.f64 (-.f64 z y) x)))
(if (<=.f64 y -5110092123341517/8589934592) (-.f64 y (.f64 y x)) (if (<=.f64 y 509436972888099153370967802404401739917068712683002386241186452507609136966680747163006298314902601728) (+.f64 (.f64 z x) y) (-.f64 y (*.f64 y x))))
(if (<=.f64 x -9500000000000000888684560559675728059675960882802852186081107882469671308859386330513017275416576) (+.f64 (.f64 z x) y) (if (<=.f64 x -5386910389865231/70368744177664) (.f64 y (neg.f64 x)) (if (<=.f64 x 71694445299739680768) (+.f64 (.f64 z x) y) (.f64 y (neg.f64 x)))))
(if (<=.f64 x -2500000000000000004789187714336671840539887818162980027882008786498448310509971889903090362770450808832) (.f64 z x) (if (<=.f64 x -5386910389865231/70368744177664) (.f64 y (neg.f64 x)) (if (<=.f64 x -1946975634429907/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616) (.f64 z x) (if (<=.f64 x 2574707735920757/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) y (if (<=.f64 x 71694445299739680768) (.f64 z x) (*.f64 y (neg.f64 x)))))))
(if (<=.f64 x -1946975634429907/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616) (.f64 z x) (if (<=.f64 x 2574707735920757/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) y (.f64 z x)))
y

Outputs
(fma.f64 (-.f64 1 x) y (*.f64 x z))
(+.f64 (*.f64 (-.f64 z y) x) y)
(+.f64 y (*.f64 x (-.f64 z y)))
(if (<=.f64 x -5386910389865231/70368744177664) (-.f64 (.f64 z x) (.f64 x y)) (if (<=.f64 x 5354294798242729/11150372599265311570767859136324180752990208) (+.f64 (.f64 z x) y) (.f64 (-.f64 z y) x)))
(if (<=.f64 x -5386910389865231/70368744177664) (-.f64 (.f64 x z) (.f64 x y)) (if (<=.f64 x 5354294798242729/11150372599265311570767859136324180752990208) (+.f64 y (.f64 x z)) (.f64 x (-.f64 z y))))
(if (<=.f64 x -5386910389865231/70368744177664) (.f64 (-.f64 z y) x) (if (<=.f64 x 5354294798242729/11150372599265311570767859136324180752990208) (+.f64 (.f64 z x) y) (*.f64 (-.f64 z y) x)))
(if (<=.f64 x -5386910389865231/70368744177664) (.f64 x (-.f64 z y)) (if (<=.f64 x 5354294798242729/11150372599265311570767859136324180752990208) (+.f64 y (.f64 x z)) (*.f64 x (-.f64 z y))))
(if (<=.f64 y -5110092123341517/8589934592) (-.f64 y (.f64 y x)) (if (<=.f64 y 509436972888099153370967802404401739917068712683002386241186452507609136966680747163006298314902601728) (+.f64 (.f64 z x) y) (-.f64 y (*.f64 y x))))
(if (<=.f64 y -5110092123341517/8589934592) (-.f64 y (.f64 x y)) (if (<=.f64 y 509436972888099153370967802404401739917068712683002386241186452507609136966680747163006298314902601728) (+.f64 y (.f64 x z)) (-.f64 y (*.f64 x y))))
(if (<=.f64 x -9500000000000000888684560559675728059675960882802852186081107882469671308859386330513017275416576) (+.f64 (.f64 z x) y) (if (<=.f64 x -5386910389865231/70368744177664) (.f64 y (neg.f64 x)) (if (<=.f64 x 71694445299739680768) (+.f64 (.f64 z x) y) (.f64 y (neg.f64 x)))))
(if (<=.f64 x -9500000000000000888684560559675728059675960882802852186081107882469671308859386330513017275416576) (+.f64 y (.f64 x z)) (if (<=.f64 x -5386910389865231/70368744177664) (.f64 y (neg.f64 x)) (if (<=.f64 x 71694445299739680768) (+.f64 y (.f64 x z)) (.f64 y (neg.f64 x)))))
(if (<=.f64 x -9500000000000000888684560559675728059675960882802852186081107882469671308859386330513017275416576) (+.f64 y (.f64 x z)) (if (<=.f64 x -5386910389865231/70368744177664) (.f64 x (neg.f64 y)) (if (<=.f64 x 71694445299739680768) (+.f64 y (.f64 x z)) (.f64 x (neg.f64 y)))))
(if (<=.f64 x -2500000000000000004789187714336671840539887818162980027882008786498448310509971889903090362770450808832) (.f64 z x) (if (<=.f64 x -5386910389865231/70368744177664) (.f64 y (neg.f64 x)) (if (<=.f64 x -1946975634429907/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616) (.f64 z x) (if (<=.f64 x 2574707735920757/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) y (if (<=.f64 x 71694445299739680768) (.f64 z x) (*.f64 y (neg.f64 x)))))))
(if (<=.f64 x -2500000000000000004789187714336671840539887818162980027882008786498448310509971889903090362770450808832) (.f64 x z) (if (<=.f64 x -5386910389865231/70368744177664) (.f64 y (neg.f64 x)) (if (<=.f64 x -1946975634429907/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616) (.f64 x z) (if (<=.f64 x 2574707735920757/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) y (if (<=.f64 x 71694445299739680768) (.f64 x z) (*.f64 y (neg.f64 x)))))))
(if (<=.f64 x -2500000000000000004789187714336671840539887818162980027882008786498448310509971889903090362770450808832) (.f64 x z) (if (<=.f64 x -5386910389865231/70368744177664) (.f64 x (neg.f64 y)) (if (<=.f64 x -1946975634429907/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616) (.f64 x z) (if (<=.f64 x 2574707735920757/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) y (if (<=.f64 x 71694445299739680768) (.f64 x z) (*.f64 x (neg.f64 y)))))))
(if (<=.f64 x -1946975634429907/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616) (.f64 z x) (if (<=.f64 x 2574707735920757/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) y (.f64 z x)))
(if (<=.f64 x -1946975634429907/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616) (.f64 x z) (if (<=.f64 x 2574707735920757/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) y (.f64 x z)))
y

Compiler

Compiled 197 to 104 computations (47.2% saved)

soundness0.0ms (0%)

end73.0ms (1.2%)

Compiler: Compiled 173 to 64 computations (63% 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	13	160
1	33	160
2	51	160
3	88	160
4	122	160
5	201	160
6	341	160
7	419	160
8	489	160
9	495	160

Iter	Nodes	Cost
0	16	330
1	36	240
2	80	240
3	159	240
4	322	240
5	487	240
6	655	240
7	728	240
8	730	240

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	13	160
1	33	160
2	51	160
3	88	160
4	122	160
5	201	160
6	341	160
7	419	160
8	489	160
9	495	160

Iter	Nodes	Cost
0	16	330
1	36	240
2	80	240
3	159	240
4	322	240
5	487	240
6	655	240
7	728	240
8	730	240

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	13	160
1	33	160
2	51	160
3	88	160
4	122	160
5	201	160
6	341	160
7	419	160
8	489	160
9	495	160

Iter	Nodes	Cost
0	16	330
1	36	240
2	80	240
3	159	240
4	322	240
5	487	240
6	655	240
7	728	240
8	730	240