Details

analyze597.0ms (31.6%)

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
53.2%	35.7%	11.1%	13
58%	29.1%	12.9%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample968.0ms (51.2%)

Results

844.0ms	8256×	body	128	valid
104.0ms	949×	body	128	invalid

Compiler

Compiled 26 to 18 computations (30.8% saved)

preprocess57.0ms (3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	44
1	43	44
2	87	44
3	151	44
4	337	36
5	680	32
6	1131	32
7	1847	32
8	2461	32
9	2759	32
10	2834	32
11	2835	32
12	2835	32
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify19.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	17	11
2	30	11
3	57	11
4	126	9
5	218	8
6	346	8
7	557	8
8	967	8
9	1146	8
10	1206	8
11	1216	8

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

prune3.0ms (0.1%)

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

Counts

3 → 2

Alt Table

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

Compiler

Compiled 60 to 36 computations (40% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series14.0ms (0.7%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(*.f64 (-.f64 1 x) z)
1.0ms	z	@	-inf	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
1.0ms	z	@	-inf	(*.f64 (-.f64 1 x) z)
1.0ms	x	@	inf	(*.f64 (-.f64 1 x) z)
1.0ms	z	@	0	(*.f64 (-.f64 1 x) z)

rewrite47.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

476×	`log-prod_binary64`
382×	`fma-def_binary64`
174×	`expm1-udef_binary64`
173×	`log1p-udef_binary64`
172×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	192	18
2	2617	18

Stop Event

1×	node limit

Counts

2 → 99

Calls

Call 1

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

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

Outputs

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

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

simplify35.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

353×	`fma-def_binary64`
255×	`fma-neg_binary64`
48×	`cancel-sign-sub-inv_binary64`
45×	`unsub-neg_binary64`
40×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	477
1	58	424
2	125	424
3	251	424
4	523	424
5	880	424
6	1163	424
7	1232	424
8	1234	424

Stop Event

1×

saturated

Counts

159 → 115

Calls

Call 1

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

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

prune59.0ms (3.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	116	1	117

Error

Counts

117 → 1

Alt Table

Status	Error	Program
▶	0b	(fma.f64 x y (*.f64 (-.f64 1 x) z))

Compiler

Compiled 1672 to 890 computations (46.8% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

prune19.0ms (1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	1	40

Error

Counts

40 → 1

Alt Table

Status	Error	Program
✓	0b	(fma.f64 x y (*.f64 (-.f64 1 x) z))

Compiler

Compiled 469 to 240 computations (48.8% saved)

regimes29.0ms (1.5%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

10 → 1

Compiler

Compiled 85 to 39 computations (54.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	13	11
2	17	11
3	19	11
4	20	11

Stop Event

1×

saturated

Calls

Call 1

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

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

end33.0ms (1.7%)

Stop Event

1×

done

Compiler

Compiled 33 to 21 computations (36.4% saved)

Details

analyze597.0ms (31.6%)

sample968.0ms (51.2%)

preprocess57.0ms (3%)

simplify19.0ms (1%)

prune3.0ms (0.1%)

localize6.0ms (0.3%)

series14.0ms (0.7%)

rewrite47.0ms (2.5%)

simplify35.0ms (1.8%)

prune59.0ms (3.1%)

localize5.0ms (0.3%)

prune19.0ms (1%)

regimes29.0ms (1.5%)

simplify2.0ms (0.1%)

end33.0ms (1.7%)

Profiling