Details

analyze524.0ms (20.1%)

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%	57.7%	7.9%	10
41.3%	50.3%	8.3%	11
46.8%	42.3%	10.9%	12
53.2%	32.7%	14.1%	13
58%	27.7%	14.2%	14

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample880.0ms (33.8%)

Results

801.0ms	8256×	body	128	valid
66.0ms	674×	body	128	invalid

Compiler

Compiled 26 to 20 computations (23.1% saved)

preprocess110.0ms (4.2%)

Algorithm

2×	egg-herbie

Rules

2243×	`fma-neg_binary64`
413×	`unsub-neg_binary64`
262×	`associate--r+_binary64`
234×	`distribute-rgt-in_binary64`
215×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	55	52
2	144	44
3	494	44
4	1584	44
5	2961	44
6	3611	44
7	3718	44
8	3756	44
9	3772	44
10	3960	44
11	4041	44
12	4087	44
13	4154	44
14	4204	44
15	4204	44
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 12 to 9 computations (25% saved)

simplify29.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

710×	`fma-def_binary64`
419×	`fma-neg_binary64`
208×	`distribute-rgt-in_binary64`
163×	`distribute-lft-in_binary64`
138×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	20	13
2	49	11
3	153	11
4	470	11
5	1119	11
6	1863	11
7	2564	11
8	2672	11
9	2672	11

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

prune39.0ms (1.5%)

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

Status	Error	Program
	4.3b	(fma.f64 z (-.f64 (*.f64 x y) x) x)
▶	2.6b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

Compiler

Compiled 66 to 42 computations (36.4% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 1 y) z)
✓	2.4b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

series9.0ms (0.4%)

Counts

2 → 48

Calls

15 calls:

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

rewrite49.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`prod-diff_binary64`
479×	`log-prod_binary64`
199×	`fma-def_binary64`
175×	`expm1-udef_binary64`
173×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	193	20
2	2558	20

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

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

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

Outputs

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

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

simplify48.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

613×	`fma-neg_binary64`
436×	`fma-def_binary64`
126×	`unsub-neg_binary64`
117×	`distribute-rgt-in_binary64`
102×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	508
1	71	448
2	184	448
3	411	448
4	847	448
5	1662	448
6	2273	448
7	2429	448
8	2441	448
9	2441	448

Stop Event

1×

saturated

Counts

117 → 85

Calls

Call 1

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

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

prune85.0ms (3.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	83	4	87

Error

0.0b

Counts

87 → 4

Alt Table

Status	Error	Program
	3.1b	(.f64 x (-.f64 1 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 y) z)) 3)))
	4.3b	(fma.f64 z (-.f64 (*.f64 x y) x) x)
✓	2.6b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
▶	0.9b	(fma.f64 (*.f64 z x) (+.f64 y -1) x)

Compiler

Compiled 1191 to 752 computations (36.9% saved)

localize13.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.9b	(fma.f64 (*.f64 z x) (+.f64 y -1) x)

series7.0ms (0.3%)

Counts

1 → 36

Calls

9 calls:

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

rewrite41.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

852×	`pow1_binary64`
785×	`log1p-expm1-u_binary64`
785×	`expm1-log1p-u_binary64`
85×	`add-sqr-sqrt_binary64`
83×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	164	11
2	2049	11

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

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

Outputs

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

simplify52.0ms (2%)

Algorithm

1×	egg-herbie

Rules

839×	`fma-def_binary64`
458×	`fma-neg_binary64`
142×	`distribute-rgt-in_binary64`
135×	`unsub-neg_binary64`
110×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	462
1	74	372
2	189	372
3	497	372
4	1277	372
5	2190	372
6	2772	372
7	2792	372
8	2792	372

Stop Event

1×

saturated

Counts

59 → 36

Calls

Call 1

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

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

prune47.0ms (1.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	35	5	40

Error

0.0b

Counts

40 → 5

Alt Table

Status	Error	Program
▶	3.1b	(.f64 x (-.f64 1 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 y) z)) 3)))
	33.5b	(pow.f64 (sqrt.f64 (fma.f64 (*.f64 z x) (+.f64 y -1) x)) 2)
	4.3b	(fma.f64 z (-.f64 (*.f64 x y) x) x)
✓	2.6b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
✓	0.9b	(fma.f64 (*.f64 z x) (+.f64 y -1) x)

Compiler

Compiled 524 to 288 computations (45% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (-.f64 1 y) z)
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z)) 3)
✓	2.4b	(.f64 x (-.f64 1 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 y) z)) 3)))
✓	2.9b	(cbrt.f64 (*.f64 (-.f64 1 y) z))

series34.0ms (1.3%)

Counts

3 → 44

Calls

21 calls:

Time	Variable		Point	Expression
15.0ms	y	@	0	(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z)) 3)
2.0ms	z	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z)) 3)
2.0ms	z	@	0	(.f64 x (-.f64 1 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 y) z)) 3)))
2.0ms	z	@	-inf	(.f64 x (-.f64 1 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 y) z)) 3)))
2.0ms	z	@	-inf	(cbrt.f64 (*.f64 (-.f64 1 y) z))

rewrite85.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

791×	`prod-diff_binary64`
202×	`expm1-udef_binary64`
200×	`log1p-udef_binary64`
119×	`add-sqr-sqrt_binary64`
114×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	259	29
2	2993	29

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 (-.f64 1 y) z))
(.f64 x (-.f64 1 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 y) z)) 3)))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z)) 3)

Outputs

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

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

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

simplify47.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

687×	`fma-def_binary64`
581×	`cancel-sign-sub-inv_binary64`
307×	`*-commutative_binary64`
289×	`fma-neg_binary64`
261×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	57	648
1	176	588
2	491	586
3	1642	583
4	4881	535

Stop Event

1×	node limit

Counts

128 → 107

Calls

Call 1

Inputs
(pow.f64 z 1/3)
(-.f64 (pow.f64 z 1/3) (.f64 1/3 (.f64 y (pow.f64 (pow.f64 z 7) 1/9))))
(-.f64 (pow.f64 z 1/3) (+.f64 (.f64 1/3 (.f64 y (pow.f64 (pow.f64 z 7) 1/9))) (.f64 1/9 (.f64 (pow.f64 y 2) (pow.f64 (pow.f64 z 11) 1/9)))))
(-.f64 (pow.f64 z 1/3) (+.f64 (.f64 1/3 (.f64 y (pow.f64 (pow.f64 z 7) 1/9))) (+.f64 (.f64 5/81 (.f64 (pow.f64 y 3) (pow.f64 (pow.f64 z 5) 1/3))) (.f64 1/9 (.f64 (pow.f64 y 2) (pow.f64 (pow.f64 z 11) 1/9))))))
(.f64 (-.f64 (+.f64 1 (.f64 y z)) z) x)
(.f64 (-.f64 (+.f64 1 (.f64 y z)) z) x)
(.f64 (-.f64 (+.f64 1 (.f64 y z)) z) x)
(.f64 (-.f64 (+.f64 1 (.f64 y z)) z) x)
(.f64 (-.f64 (+.f64 1 (.f64 y z)) z) x)
(.f64 (-.f64 (+.f64 1 (.f64 y z)) z) x)
(.f64 (-.f64 (+.f64 1 (.f64 y z)) z) x)
(.f64 (-.f64 (+.f64 1 (.f64 y z)) z) x)
(.f64 (-.f64 (+.f64 1 (.f64 y z)) z) x)
(.f64 (-.f64 (+.f64 1 (.f64 y z)) z) x)
(.f64 (-.f64 (+.f64 1 (.f64 y z)) z) x)
(.f64 (-.f64 (+.f64 1 (.f64 y z)) z) x)
(*.f64 x (-.f64 1 z))
(-.f64 (+.f64 (.f64 y (.f64 z x)) x) (*.f64 z x))
(-.f64 (+.f64 (.f64 y (.f64 z x)) x) (*.f64 z x))
(-.f64 (+.f64 (.f64 y (.f64 z x)) x) (*.f64 z x))
(.f64 y (.f64 z x))
(-.f64 (+.f64 x (.f64 y (.f64 z x))) (*.f64 z x))
(-.f64 (+.f64 x (.f64 y (.f64 z x))) (*.f64 z x))
(-.f64 (+.f64 x (.f64 y (.f64 z x))) (*.f64 z x))
(.f64 y (.f64 z x))
(-.f64 (+.f64 x (.f64 y (.f64 z x))) (*.f64 z x))
(-.f64 (+.f64 x (.f64 y (.f64 z x))) (*.f64 z x))
(-.f64 (+.f64 x (.f64 y (.f64 z x))) (*.f64 z x))
x
(-.f64 (+.f64 (.f64 y (.f64 z x)) x) (*.f64 z x))
(-.f64 (+.f64 (.f64 y (.f64 z x)) x) (*.f64 z x))
(-.f64 (+.f64 (.f64 y (.f64 z x)) x) (*.f64 z x))
(.f64 (-.f64 y 1) (.f64 z x))
(-.f64 (+.f64 x (.f64 y (.f64 z x))) (*.f64 z x))
(-.f64 (+.f64 x (.f64 y (.f64 z x))) (*.f64 z x))
(-.f64 (+.f64 x (.f64 y (.f64 z x))) (*.f64 z x))
(.f64 -1 (.f64 (-.f64 1 y) (*.f64 z x)))
(-.f64 (+.f64 x (.f64 y (.f64 z x))) (*.f64 z x))
(-.f64 (+.f64 x (.f64 y (.f64 z x))) (*.f64 z x))
(-.f64 (+.f64 x (.f64 y (.f64 z x))) (*.f64 z x))
z
(-.f64 z (*.f64 y (pow.f64 (pow.f64 z 13) 1/9)))
(-.f64 z (*.f64 y (pow.f64 (pow.f64 z 13) 1/9)))
(-.f64 z (*.f64 y (pow.f64 (pow.f64 z 13) 1/9)))

Outputs
(pow.f64 z 1/3)
(cbrt.f64 z)
(-.f64 (pow.f64 z 1/3) (.f64 1/3 (.f64 y (pow.f64 (pow.f64 z 7) 1/9))))
(+.f64 (cbrt.f64 z) (.f64 -1/3 (.f64 y (*.f64 (pow.f64 (pow.f64 z 7) 1/18) (pow.f64 (pow.f64 z 7) 1/18)))))
(-.f64 (cbrt.f64 z) (.f64 1/3 (.f64 (*.f64 y (pow.f64 (pow.f64 z 7) 1/18)) (pow.f64 (pow.f64 z 7) 1/18))))
(fma.f64 (.f64 y -1/3) (.f64 (pow.f64 (pow.f64 z 7) 1/18) (pow.f64 (pow.f64 z 7) 1/18)) (cbrt.f64 z))
(fma.f64 (.f64 (pow.f64 (pow.f64 z 7) 1/18) (pow.f64 (pow.f64 z 7) 1/18)) (.f64 y -1/3) (cbrt.f64 z))
(fma.f64 (pow.f64 (pow.f64 (pow.f64 z 7) 1/36) 4) (*.f64 y -1/3) (cbrt.f64 z))
(-.f64 (pow.f64 z 1/3) (+.f64 (.f64 1/3 (.f64 y (pow.f64 (pow.f64 z 7) 1/9))) (.f64 1/9 (.f64 (pow.f64 y 2) (pow.f64 (pow.f64 z 11) 1/9)))))
(-.f64 (cbrt.f64 z) (fma.f64 1/3 (.f64 y (.f64 (pow.f64 (pow.f64 z 7) 1/18) (pow.f64 (pow.f64 z 7) 1/18))) (.f64 1/9 (.f64 (.f64 (pow.f64 (pow.f64 z 11) 1/18) (pow.f64 (pow.f64 z 11) 1/18)) (.f64 y y)))))
(-.f64 (cbrt.f64 z) (fma.f64 1/3 (.f64 (.f64 y (pow.f64 (pow.f64 z 7) 1/18)) (pow.f64 (pow.f64 z 7) 1/18)) (.f64 1/9 (.f64 (.f64 y (pow.f64 (pow.f64 z 11) 1/18)) (.f64 y (pow.f64 (pow.f64 z 11) 1/18))))))
(+.f64 (fma.f64 (.f64 y -1/3) (.f64 (pow.f64 (pow.f64 z 7) 1/18) (pow.f64 (pow.f64 z 7) 1/18)) (cbrt.f64 z)) (.f64 (.f64 (pow.f64 (pow.f64 z 11) 1/18) (pow.f64 (pow.f64 z 11) 1/18)) (.f64 (.f64 y y) -1/9)))
(fma.f64 (.f64 (pow.f64 (pow.f64 z 11) 1/18) (pow.f64 (pow.f64 z 11) 1/18)) (.f64 y (.f64 y -1/9)) (fma.f64 (.f64 (pow.f64 (pow.f64 z 7) 1/18) (pow.f64 (pow.f64 z 7) 1/18)) (*.f64 y -1/3) (cbrt.f64 z)))
(fma.f64 (pow.f64 (pow.f64 (pow.f64 z 11) 1/36) 4) (.f64 y (.f64 y -1/9)) (fma.f64 (pow.f64 (pow.f64 (pow.f64 z 7) 1/36) 4) (*.f64 y -1/3) (cbrt.f64 z)))
(-.f64 (pow.f64 z 1/3) (+.f64 (.f64 1/3 (.f64 y (pow.f64 (pow.f64 z 7) 1/9))) (+.f64 (.f64 5/81 (.f64 (pow.f64 y 3) (pow.f64 (pow.f64 z 5) 1/3))) (.f64 1/9 (.f64 (pow.f64 y 2) (pow.f64 (pow.f64 z 11) 1/9))))))
(-.f64 (cbrt.f64 z) (fma.f64 1/3 (.f64 y (.f64 (pow.f64 (pow.f64 z 7) 1/18) (pow.f64 (pow.f64 z 7) 1/18))) (fma.f64 5/81 (.f64 (pow.f64 y 3) (cbrt.f64 (pow.f64 z 5))) (.f64 1/9 (.f64 (.f64 (pow.f64 (pow.f64 z 11) 1/18) (pow.f64 (pow.f64 z 11) 1/18)) (*.f64 y y))))))
(-.f64 (cbrt.f64 z) (fma.f64 1/3 (.f64 (.f64 y (pow.f64 (pow.f64 z 7) 1/18)) (pow.f64 (pow.f64 z 7) 1/18)) (fma.f64 1/9 (.f64 (.f64 y (pow.f64 (pow.f64 z 11) 1/18)) (.f64 y (pow.f64 (pow.f64 z 11) 1/18))) (.f64 (cbrt.f64 (pow.f64 z 5)) (*.f64 5/81 (pow.f64 y 3))))))
(-.f64 (cbrt.f64 z) (fma.f64 (cbrt.f64 (pow.f64 z 5)) (.f64 5/81 (pow.f64 y 3)) (fma.f64 y (.f64 (.f64 1/3 (pow.f64 (pow.f64 z 7) 1/18)) (pow.f64 (pow.f64 z 7) 1/18)) (.f64 (pow.f64 (pow.f64 z 11) 1/18) (.f64 (pow.f64 (pow.f64 z 11) 1/18) (.f64 y (*.f64 y 1/9)))))))
(+.f64 (fma.f64 (.f64 (pow.f64 (pow.f64 z 7) 1/18) (pow.f64 (pow.f64 z 7) 1/18)) (.f64 y -1/3) (cbrt.f64 z)) (.f64 (.f64 y y) (-.f64 (.f64 (.f64 (pow.f64 (pow.f64 z 11) 1/18) (pow.f64 (pow.f64 z 11) 1/18)) -1/9) (.f64 (cbrt.f64 (pow.f64 z 5)) (.f64 y 5/81)))))
(+.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 z 7) 1/36) 4) (.f64 y -1/3) (cbrt.f64 z)) (.f64 (.f64 y y) (-.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 z 11) 1/36) 4) -1/9) (.f64 (cbrt.f64 (pow.f64 z 5)) (.f64 y 5/81)))))
(.f64 (-.f64 (+.f64 1 (.f64 y z)) z) x)
(.f64 (+.f64 1 (-.f64 (.f64 z y) z)) x)
(*.f64 (-.f64 (fma.f64 z y 1) z) x)
(fma.f64 (*.f64 z x) (-.f64 y 1) x)
(.f64 (-.f64 (+.f64 1 (.f64 y z)) z) x)
(.f64 (+.f64 1 (-.f64 (.f64 z y) z)) x)
(*.f64 (-.f64 (fma.f64 z y 1) z) x)
(fma.f64 (*.f64 z x) (-.f64 y 1) x)
(.f64 (-.f64 (+.f64 1 (.f64 y z)) z) x)
(.f64 (+.f64 1 (-.f64 (.f64 z y) z)) x)
(*.f64 (-.f64 (fma.f64 z y 1) z) x)
(fma.f64 (*.f64 z x) (-.f64 y 1) x)
(.f64 (-.f64 (+.f64 1 (.f64 y z)) z) x)
(.f64 (+.f64 1 (-.f64 (.f64 z y) z)) x)
(*.f64 (-.f64 (fma.f64 z y 1) z) x)
(fma.f64 (*.f64 z x) (-.f64 y 1) x)
(.f64 (-.f64 (+.f64 1 (.f64 y z)) z) x)
(.f64 (+.f64 1 (-.f64 (.f64 z y) z)) x)
(*.f64 (-.f64 (fma.f64 z y 1) z) x)
(fma.f64 (*.f64 z x) (-.f64 y 1) x)
(.f64 (-.f64 (+.f64 1 (.f64 y z)) z) x)
(.f64 (+.f64 1 (-.f64 (.f64 z y) z)) x)
(*.f64 (-.f64 (fma.f64 z y 1) z) x)
(fma.f64 (*.f64 z x) (-.f64 y 1) x)
(.f64 (-.f64 (+.f64 1 (.f64 y z)) z) x)
(.f64 (+.f64 1 (-.f64 (.f64 z y) z)) x)
(*.f64 (-.f64 (fma.f64 z y 1) z) x)
(fma.f64 (*.f64 z x) (-.f64 y 1) x)
(.f64 (-.f64 (+.f64 1 (.f64 y z)) z) x)
(.f64 (+.f64 1 (-.f64 (.f64 z y) z)) x)
(*.f64 (-.f64 (fma.f64 z y 1) z) x)
(fma.f64 (*.f64 z x) (-.f64 y 1) x)
(.f64 (-.f64 (+.f64 1 (.f64 y z)) z) x)
(.f64 (+.f64 1 (-.f64 (.f64 z y) z)) x)
(*.f64 (-.f64 (fma.f64 z y 1) z) x)
(fma.f64 (*.f64 z x) (-.f64 y 1) x)
(.f64 (-.f64 (+.f64 1 (.f64 y z)) z) x)
(.f64 (+.f64 1 (-.f64 (.f64 z y) z)) x)
(*.f64 (-.f64 (fma.f64 z y 1) z) x)
(fma.f64 (*.f64 z x) (-.f64 y 1) x)
(.f64 (-.f64 (+.f64 1 (.f64 y z)) z) x)
(.f64 (+.f64 1 (-.f64 (.f64 z y) z)) x)
(*.f64 (-.f64 (fma.f64 z y 1) z) x)
(fma.f64 (*.f64 z x) (-.f64 y 1) x)
(.f64 (-.f64 (+.f64 1 (.f64 y z)) z) x)
(.f64 (+.f64 1 (-.f64 (.f64 z y) z)) x)
(*.f64 (-.f64 (fma.f64 z y 1) z) x)
(fma.f64 (*.f64 z x) (-.f64 y 1) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(-.f64 (+.f64 (.f64 y (.f64 z x)) x) (*.f64 z x))
(.f64 (+.f64 1 (-.f64 (.f64 z y) z)) x)
(*.f64 (-.f64 (fma.f64 z y 1) z) x)
(fma.f64 (*.f64 z x) (-.f64 y 1) x)
(-.f64 (+.f64 (.f64 y (.f64 z x)) x) (*.f64 z x))
(.f64 (+.f64 1 (-.f64 (.f64 z y) z)) x)
(*.f64 (-.f64 (fma.f64 z y 1) z) x)
(fma.f64 (*.f64 z x) (-.f64 y 1) x)
(-.f64 (+.f64 (.f64 y (.f64 z x)) x) (*.f64 z x))
(.f64 (+.f64 1 (-.f64 (.f64 z y) z)) x)
(*.f64 (-.f64 (fma.f64 z y 1) z) x)
(fma.f64 (*.f64 z x) (-.f64 y 1) x)
(.f64 y (.f64 z x))
(.f64 z (.f64 y x))
(-.f64 (+.f64 x (.f64 y (.f64 z x))) (*.f64 z x))
(.f64 (+.f64 1 (-.f64 (.f64 z y) z)) x)
(*.f64 (-.f64 (fma.f64 z y 1) z) x)
(fma.f64 (*.f64 z x) (-.f64 y 1) x)
(-.f64 (+.f64 x (.f64 y (.f64 z x))) (*.f64 z x))
(.f64 (+.f64 1 (-.f64 (.f64 z y) z)) x)
(*.f64 (-.f64 (fma.f64 z y 1) z) x)
(fma.f64 (*.f64 z x) (-.f64 y 1) x)
(-.f64 (+.f64 x (.f64 y (.f64 z x))) (*.f64 z x))
(.f64 (+.f64 1 (-.f64 (.f64 z y) z)) x)
(*.f64 (-.f64 (fma.f64 z y 1) z) x)
(fma.f64 (*.f64 z x) (-.f64 y 1) x)
(.f64 y (.f64 z x))
(.f64 z (.f64 y x))
(-.f64 (+.f64 x (.f64 y (.f64 z x))) (*.f64 z x))
(.f64 (+.f64 1 (-.f64 (.f64 z y) z)) x)
(*.f64 (-.f64 (fma.f64 z y 1) z) x)
(fma.f64 (*.f64 z x) (-.f64 y 1) x)
(-.f64 (+.f64 x (.f64 y (.f64 z x))) (*.f64 z x))
(.f64 (+.f64 1 (-.f64 (.f64 z y) z)) x)
(*.f64 (-.f64 (fma.f64 z y 1) z) x)
(fma.f64 (*.f64 z x) (-.f64 y 1) x)
(-.f64 (+.f64 x (.f64 y (.f64 z x))) (*.f64 z x))
(.f64 (+.f64 1 (-.f64 (.f64 z y) z)) x)
(*.f64 (-.f64 (fma.f64 z y 1) z) x)
(fma.f64 (*.f64 z x) (-.f64 y 1) x)
x
(-.f64 (+.f64 (.f64 y (.f64 z x)) x) (*.f64 z x))
(.f64 (+.f64 1 (-.f64 (.f64 z y) z)) x)
(*.f64 (-.f64 (fma.f64 z y 1) z) x)
(fma.f64 (*.f64 z x) (-.f64 y 1) x)
(-.f64 (+.f64 (.f64 y (.f64 z x)) x) (*.f64 z x))
(.f64 (+.f64 1 (-.f64 (.f64 z y) z)) x)
(*.f64 (-.f64 (fma.f64 z y 1) z) x)
(fma.f64 (*.f64 z x) (-.f64 y 1) x)
(-.f64 (+.f64 (.f64 y (.f64 z x)) x) (*.f64 z x))
(.f64 (+.f64 1 (-.f64 (.f64 z y) z)) x)
(*.f64 (-.f64 (fma.f64 z y 1) z) x)
(fma.f64 (*.f64 z x) (-.f64 y 1) x)
(.f64 (-.f64 y 1) (.f64 z x))
(.f64 (.f64 z x) (+.f64 y -1))
(.f64 z (.f64 x (-.f64 y 1)))
(.f64 z (.f64 x (+.f64 y -1)))
(-.f64 (+.f64 x (.f64 y (.f64 z x))) (*.f64 z x))
(.f64 (+.f64 1 (-.f64 (.f64 z y) z)) x)
(*.f64 (-.f64 (fma.f64 z y 1) z) x)
(fma.f64 (*.f64 z x) (-.f64 y 1) x)
(-.f64 (+.f64 x (.f64 y (.f64 z x))) (*.f64 z x))
(.f64 (+.f64 1 (-.f64 (.f64 z y) z)) x)
(*.f64 (-.f64 (fma.f64 z y 1) z) x)
(fma.f64 (*.f64 z x) (-.f64 y 1) x)
(-.f64 (+.f64 x (.f64 y (.f64 z x))) (*.f64 z x))
(.f64 (+.f64 1 (-.f64 (.f64 z y) z)) x)
(*.f64 (-.f64 (fma.f64 z y 1) z) x)
(fma.f64 (*.f64 z x) (-.f64 y 1) x)
(.f64 -1 (.f64 (-.f64 1 y) (*.f64 z x)))
(.f64 (.f64 z x) (+.f64 y -1))
(.f64 z (.f64 x (-.f64 y 1)))
(.f64 z (.f64 x (+.f64 y -1)))
(-.f64 (+.f64 x (.f64 y (.f64 z x))) (*.f64 z x))
(.f64 (+.f64 1 (-.f64 (.f64 z y) z)) x)
(*.f64 (-.f64 (fma.f64 z y 1) z) x)
(fma.f64 (*.f64 z x) (-.f64 y 1) x)
(-.f64 (+.f64 x (.f64 y (.f64 z x))) (*.f64 z x))
(.f64 (+.f64 1 (-.f64 (.f64 z y) z)) x)
(*.f64 (-.f64 (fma.f64 z y 1) z) x)
(fma.f64 (*.f64 z x) (-.f64 y 1) x)
(-.f64 (+.f64 x (.f64 y (.f64 z x))) (*.f64 z x))
(.f64 (+.f64 1 (-.f64 (.f64 z y) z)) x)
(*.f64 (-.f64 (fma.f64 z y 1) z) x)
(fma.f64 (*.f64 z x) (-.f64 y 1) x)
z
(-.f64 z (*.f64 y (pow.f64 (pow.f64 z 13) 1/9)))
(-.f64 z (.f64 y (.f64 (pow.f64 (pow.f64 z 13) 1/18) (pow.f64 (pow.f64 z 13) 1/18))))
(fma.f64 (*.f64 (pow.f64 (pow.f64 z 13) 1/18) (pow.f64 (pow.f64 z 13) 1/18)) (neg.f64 y) z)
(-.f64 z (*.f64 y (pow.f64 (pow.f64 (pow.f64 z 13) 1/36) 4)))
(-.f64 z (*.f64 y (pow.f64 (pow.f64 z 13) 1/9)))
(-.f64 z (.f64 y (.f64 (pow.f64 (pow.f64 z 13) 1/18) (pow.f64 (pow.f64 z 13) 1/18))))
(fma.f64 (*.f64 (pow.f64 (pow.f64 z 13) 1/18) (pow.f64 (pow.f64 z 13) 1/18)) (neg.f64 y) z)
(-.f64 z (*.f64 y (pow.f64 (pow.f64 (pow.f64 z 13) 1/36) 4)))
(-.f64 z (*.f64 y (pow.f64 (pow.f64 z 13) 1/9)))
(-.f64 z (.f64 y (.f64 (pow.f64 (pow.f64 z 13) 1/18) (pow.f64 (pow.f64 z 13) 1/18))))
(fma.f64 (*.f64 (pow.f64 (pow.f64 z 13) 1/18) (pow.f64 (pow.f64 z 13) 1/18)) (neg.f64 y) z)
(-.f64 z (*.f64 y (pow.f64 (pow.f64 (pow.f64 z 13) 1/36) 4)))

prune97.0ms (3.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	147	5	152

Error

0.0b

Counts

152 → 5

Alt Table

Status	Error	Program
✓	3.1b	(.f64 x (-.f64 1 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 y) z)) 3)))
	33.5b	(pow.f64 (sqrt.f64 (fma.f64 (*.f64 z x) (+.f64 y -1) x)) 2)
▶	4.3b	(fma.f64 z (-.f64 (*.f64 x y) x) x)
✓	2.6b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
✓	0.9b	(fma.f64 (*.f64 z x) (+.f64 y -1) x)

Compiler

Compiled 2386 to 1696 computations (28.9% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 x y) x)
✓	4.1b	(fma.f64 z (-.f64 (*.f64 x y) x) x)

series6.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

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

rewrite42.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

841×	`pow1_binary64`
778×	`log1p-expm1-u_binary64`
778×	`expm1-log1p-u_binary64`
81×	`add-sqr-sqrt_binary64`
80×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	151	18
2	2068	18

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

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

Outputs

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

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

simplify51.0ms (2%)

Algorithm

1×	egg-herbie

Rules

786×	`fma-def_binary64`
436×	`fma-neg_binary64`
144×	`distribute-rgt-in_binary64`
133×	`unsub-neg_binary64`
112×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	620
1	90	530
2	218	530
3	554	530
4	1345	530
5	2164	530
6	2657	530
7	2677	530
8	2677	530

Stop Event

1×

saturated

Counts

123 → 84

Calls

Call 1

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

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

prune65.0ms (2.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	84	5	89

Error

0.0b

Counts

89 → 5

Alt Table

Status	Error	Program
✓	3.1b	(.f64 x (-.f64 1 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 y) z)) 3)))
	33.5b	(pow.f64 (sqrt.f64 (fma.f64 (*.f64 z x) (+.f64 y -1) x)) 2)
✓	4.3b	(fma.f64 z (-.f64 (*.f64 x y) x) x)
✓	2.6b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
✓	0.9b	(fma.f64 (*.f64 z x) (+.f64 y -1) x)

Compiler

Compiled 1135 to 370 computations (67.4% saved)

regimes149.0ms (5.7%)

Accuracy

Total 1.6b remaining (99.1%)

Threshold costs 0b (0%)

Counts

25 → 1

Compiler

Compiled 258 to 142 computations (45% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	10	11

Stop Event

1×

saturated

Calls

Call 1

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

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

end68.0ms (2.6%)

Stop Event

1×

fuel

Compiler

Compiled 85 to 58 computations (31.8% saved)

Details

analyze524.0ms (20.1%)

sample880.0ms (33.8%)

preprocess110.0ms (4.2%)

simplify29.0ms (1.1%)

prune39.0ms (1.5%)

localize5.0ms (0.2%)

series9.0ms (0.4%)

rewrite49.0ms (1.9%)

simplify48.0ms (1.9%)

prune85.0ms (3.3%)

localize13.0ms (0.5%)

series7.0ms (0.3%)

rewrite41.0ms (1.6%)

simplify52.0ms (2%)

prune47.0ms (1.8%)

localize12.0ms (0.5%)

series34.0ms (1.3%)

rewrite85.0ms (3.3%)

simplify47.0ms (1.8%)

prune97.0ms (3.7%)

localize5.0ms (0.2%)

series6.0ms (0.2%)

rewrite42.0ms (1.6%)

simplify51.0ms (2%)

prune65.0ms (2.5%)

regimes149.0ms (5.7%)

simplify2.0ms (0.1%)

end68.0ms (2.6%)

Profiling