Details

analyze333.0ms (6.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
25.8%	25%	71.8%	0.1%	3.1%	0%	0%	9
36.4%	34.3%	60.1%	0.1%	5.5%	0%	0%	10
44.5%	41.3%	51.5%	0.1%	7%	0%	0%	11
51.5%	46.8%	44.1%	0.1%	9%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.7s (31.6%)

Results

1.5s	8256×	body	256	valid
172.0ms	1169×	body	256	infinite

Bogosity

preprocess97.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	44
1	43	44
2	87	44
3	151	44
4	337	36
5	680	32
6	1140	32
7	1863	32
8	2484	32
9	2782	32
10	2857	32
11	2858	32
12	2858	32
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify33.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize11.0ms (0.2%)

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)

Compiler

Compiled 27 to 14 computations (48.1% saved)

series9.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

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

rewrite76.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

476×	`log-prod_binary64`
409×	`prod-exp_binary64`
382×	`fma-def_binary64`
353×	`exp-prod_binary64`
342×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	192	18
2	2623	18

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

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

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

simplify50.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

345×	`fma-def_binary64`
247×	`fma-neg_binary64`
51×	`cancel-sign-sub-inv_binary64`
47×	`unsub-neg_binary64`
38×	`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	883	424
6	1150	424
7	1219	424
8	1221	424

Stop Event

1×

saturated

Counts

182 → 138

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)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 5 computations (66.7% saved)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite53.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify47.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

57 → 33

Calls

Call 1

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

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

eval72.0ms (1.3%)

Compiler: Compiled 2312 to 1176 computations (49.1% saved)

prune92.0ms (1.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	164	7	171
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	164	9	173

Error

Counts

173 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	0.0b	(+.f64 (*.f64 (-.f64 y z) x) z)
	35.8b	z
✓	0.0b	(fma.f64 x (-.f64 y z) z)
▶	11.9b	(+.f64 (*.f64 x y) z)
✓	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
▶	24.1b	(.f64 (+.f64 1 (.f64 -1 x)) z)
▶	0b	(fma.f64 y x (*.f64 (-.f64 1 x) z))
▶	38.5b	(*.f64 y x)
▶	27.0b	(*.f64 (-.f64 y z) x)

Compiler

Compiled 131 to 86 computations (34.4% saved)

localize68.0ms (1.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 13 computations (43.5% saved)

localize7.0ms (0.1%)

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

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series8.0ms (0.1%)

Counts

1 → 24

Calls

9 calls:

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

rewrite70.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify49.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

43 → 25

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite82.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	159
1	9	159
2	10	159

Stop Event

1×

saturated

Counts

71 → 38

Calls

Call 1

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

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

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

series4.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(.f64 (+.f64 1 (.f64 -1 x)) z)
1.0ms	z	@	0	(.f64 (+.f64 1 (.f64 -1 x)) z)
1.0ms	z	@	inf	(.f64 (+.f64 1 (.f64 -1 x)) z)
0.0ms	z	@	-inf	(.f64 (+.f64 1 (.f64 -1 x)) z)
0.0ms	x	@	inf	(.f64 (+.f64 1 (.f64 -1 x)) z)

rewrite52.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

643×	`pow1_binary64`
595×	`add-log-exp_binary64`
594×	`log1p-expm1-u_binary64`
594×	`expm1-log1p-u_binary64`
584×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	157	7
2	1972	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify20.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

33 → 27

Calls

Call 1

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

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

eval31.0ms (0.6%)

Compiler: Compiled 1491 to 703 computations (52.9% saved)

prune27.0ms (0.5%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	139	5	144
Fresh	1	1	2
Picked	1	0	1
Done	2	4	6
Total	143	10	153

Error

Counts

153 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	24.1b	(*.f64 z (-.f64 1 x))
▶	50.6b	(*.f64 z (neg.f64 x))
	35.8b	z
▶	11.9b	(fma.f64 y x z)
▶	27.0b	(fma.f64 y x (*.f64 x (neg.f64 z)))
▶	0.0b	(+.f64 (*.f64 (-.f64 y z) x) z)
✓	11.9b	(+.f64 (*.f64 x y) z)
✓	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
✓	38.5b	(*.f64 y x)
✓	27.0b	(*.f64 (-.f64 y z) x)

Compiler

Compiled 122 to 79 computations (35.2% saved)

localize39.0ms (0.7%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series3.0ms (0.1%)

Counts

1 → 27

Calls

9 calls:

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

rewrite62.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify43.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

62 → 48

Calls

Call 1

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

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

localize5.0ms (0.1%)

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

localize31.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite51.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

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

simplify20.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

29 → 23

Calls

Call 1

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

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

localize4.0ms (0.1%)

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series6.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite60.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify45.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

59 → 31

Calls

Call 1

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

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

eval50.0ms (0.9%)

Compiler: Compiled 1324 to 478 computations (63.9% saved)

prune23.0ms (0.4%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	1	1
Picked	0	1	1
Done	0	8	8
Total	127	10	137

Error

Counts

137 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	24.1b	(*.f64 z (-.f64 1 x))
✓	50.6b	(*.f64 z (neg.f64 x))
	35.8b	z
✓	11.9b	(fma.f64 y x z)
✓	27.0b	(fma.f64 y x (*.f64 x (neg.f64 z)))
✓	0.0b	(+.f64 (*.f64 (-.f64 y z) x) z)
✓	11.9b	(+.f64 (*.f64 x y) z)
✓	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
✓	38.5b	(*.f64 y x)
✓	27.0b	(*.f64 (-.f64 y z) x)

Compiler

Compiled 80 to 52 computations (35% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune4.0ms (0.1%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	9	9
Total	10	10

Error

Counts

10 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	24.1b	(*.f64 z (-.f64 1 x))
✓	50.6b	(*.f64 z (neg.f64 x))
	35.8b	z
✓	11.9b	(fma.f64 y x z)
✓	27.0b	(fma.f64 y x (*.f64 x (neg.f64 z)))
✓	0.0b	(+.f64 (*.f64 (-.f64 y z) x) z)
✓	11.9b	(+.f64 (*.f64 x y) z)
✓	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
✓	38.5b	(*.f64 y x)
✓	27.0b	(*.f64 (-.f64 y z) x)

Compiler

Compiled 80 to 52 computations (35% saved)

regimes36.0ms (0.7%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`z`
0b	1	`(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))`

Compiler

Compiled 99 to 49 computations (50.5% saved)

regimes34.0ms (0.6%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	y
8.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
8.0ms	x
7.0ms	z

Results

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

Compiler

Compiled 91 to 45 computations (50.5% saved)

regimes20.0ms (0.4%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	z
6.0ms	y
6.0ms	x

Results

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

Compiler

Compiled 53 to 28 computations (47.2% saved)

regimes39.0ms (0.7%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	y
14.0ms	x
10.0ms	z

Results

Error	Segments	Branch
0.6b	3	`x`
4.7b	3	`y`
9.7b	2	`z`

Compiler

Compiled 39 to 22 computations (43.6% saved)

bsearch37.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	1.3955334038845188e-5	2.6004115490564876e-5
19.0ms	-332781774239692.56	-602314509203.6451

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes76.0ms (1.4%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

44.0ms	z
18.0ms	x
13.0ms	y

Results

Error	Segments	Branch
7.5b	4	`x`
4.7b	3	`y`
9.7b	2	`z`

Compiler

Compiled 34 to 20 computations (41.2% saved)

bsearch38.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	2.733013438565501e-233	3.0194422428572177e-230
19.0ms	-2.7833487649445906e-81	-5.008437273482613e-83

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes92.0ms (1.7%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

3 calls:

46.0ms	z
23.0ms	x
20.0ms	y

Results

Error	Segments	Branch
18.7b	6	`x`
13.8b	5	`y`
14.2b	3	`z`

Compiler

Compiled 29 to 18 computations (37.9% saved)

bsearch173.0ms (3.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
18.0ms	8.926185148338115e-39	2.5867430599409525e-38
19.0ms	-2.7833487649445906e-81	-5.008437273482613e-83
18.0ms	-1.472605459025564e-21	-4.280511363240895e-22
117.0ms	-4.8672414511499145e+101	-9.905937375498214e+99

Compiler

Compiled 130 to 97 computations (25.4% saved)

regimes91.0ms (1.7%)

Counts

4 → 6

Calls

Call 1

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

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

Calls

3 calls:

57.0ms	y
21.0ms	x
11.0ms	z

Results

Error	Segments	Branch
19.7b	6	`x`
22.0b	9	`y`
23.4b	3	`z`

Compiler

Compiled 24 to 15 computations (37.5% saved)

bsearch566.0ms (10.3%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
38.0ms	4.0261727386874764e+216	3.6574418477458653e+235
94.0ms	2.1190591245435646e+98	3.17013186913187e+113
146.0ms	6.647684751752964e-96	2.4376818676308362e-77
18.0ms	-1.0622751996272954e-107	-9.634981602403884e-112
269.0ms	-8.961254146153742e+27	-1.476492837484599e+21

Compiler

Compiled 453 to 332 computations (26.7% saved)

regimes55.0ms (1%)

Counts

3 → 5

Calls

Call 1

Inputs
z
z
(*.f64 y x)

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

Calls

3 calls:

22.0ms	y
22.0ms	x
10.0ms	z

Results

Error	Segments	Branch
22.8b	5	`x`
25.0b	5	`y`
23.4b	3	`z`

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch97.0ms (1.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
19.0ms	6.647684751752964e-96	2.4376818676308362e-77
21.0ms	-1.0622751996272954e-107	-9.634981602403884e-112
34.0ms	-2.1833745312498129e-35	-7.866130968761302e-41
20.0ms	-1.8449012033723863e-21	-3.9070146165848546e-23

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes409.0ms (7.5%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
z
z

Outputs
z

Calls

3 calls:

6.0ms	x
3.0ms	y
3.0ms	z

Results

Error	Segments	Branch
35.8b	1	`x`
35.8b	1	`y`
35.8b	1	`z`

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify28.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	244
1	82	244
2	93	244
3	99	244
4	101	244

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 y x (*.f64 (-.f64 1 x) z))
(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
(+.f64 (*.f64 (-.f64 y z) x) z)
(if (<=.f64 x -5324508387835081/16) (.f64 (-.f64 y z) x) (if (<=.f64 x 8237775215286549/590295810358705651712) (+.f64 (.f64 x y) z) (*.f64 (-.f64 y z) x)))
(if (<=.f64 y -2972598439184061/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288) (+.f64 (.f64 x y) z) (if (<=.f64 y 1528720884276919/55935359215771408602380437370458668927190896820645805721565331449826296885454890936221258331688727295760467791443358828270306368666158938868056691487430819571314207632771898637239846213826130422353593766077627436476426862513159342998747631067332608) (.f64 z (-.f64 1 x)) (+.f64 (*.f64 x y) z)))
(if (<=.f64 y -479999999999999976550685457073095527769928301893071000430994297937663921035179735096577996037791154176) (.f64 y x) (if (<=.f64 y -3914856805764953/2658455991569831745807614120560689152) (.f64 z (-.f64 1 x)) (if (<=.f64 y -2972598439184061/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288) (.f64 y x) (if (<=.f64 y 3419834734192871/383123885216472214589586756787577295904684780545900544) (.f64 z (-.f64 1 x)) (*.f64 y x)))))
(if (<=.f64 x -12500000000000000595591168) (.f64 z (neg.f64 x)) (if (<=.f64 x -7022233612114765/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256) (.f64 y x) (if (<=.f64 x 7993533806770245/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712) z (if (<=.f64 x 215000000000000006333124926936975986448950244360101909843908801069787815479381807415846032503734272) (.f64 y x) (if (<=.f64 x 480000000000000005045588237442054684208587833628212837423818842454169739115359949786029935866077511315648713511583102471212096504067600194518220105214645015789050287541683457022316369570924120947719736037298531228898516445826893479936) (.f64 z (neg.f64 x)) (*.f64 y x))))))
(if (<=.f64 x -4904588657959713/2658455991569831745807614120560689152) (.f64 y x) (if (<=.f64 x -8168973957960177/374144419156711147060143317175368453031918731001856) z (if (<=.f64 x -7022233612114765/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256) (.f64 y x) (if (<=.f64 x 7993533806770245/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712) z (*.f64 y x)))))
z

Outputs
(fma.f64 y x (*.f64 (-.f64 1 x) z))
(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
(+.f64 (.f64 (-.f64 1 x) z) (.f64 y x))
(+.f64 (*.f64 (-.f64 y z) x) z)
(+.f64 z (*.f64 x (-.f64 y z)))
(if (<=.f64 x -5324508387835081/16) (.f64 (-.f64 y z) x) (if (<=.f64 x 8237775215286549/590295810358705651712) (+.f64 (.f64 x y) z) (*.f64 (-.f64 y z) x)))
(if (<=.f64 x -5324508387835081/16) (.f64 x (-.f64 y z)) (if (<=.f64 x 8237775215286549/590295810358705651712) (+.f64 z (.f64 y x)) (*.f64 x (-.f64 y z))))
(if (<=.f64 y -2972598439184061/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288) (+.f64 (.f64 x y) z) (if (<=.f64 y 1528720884276919/55935359215771408602380437370458668927190896820645805721565331449826296885454890936221258331688727295760467791443358828270306368666158938868056691487430819571314207632771898637239846213826130422353593766077627436476426862513159342998747631067332608) (.f64 z (-.f64 1 x)) (+.f64 (*.f64 x y) z)))
(if (<=.f64 y -2972598439184061/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288) (+.f64 z (.f64 y x)) (if (<=.f64 y 1528720884276919/55935359215771408602380437370458668927190896820645805721565331449826296885454890936221258331688727295760467791443358828270306368666158938868056691487430819571314207632771898637239846213826130422353593766077627436476426862513159342998747631067332608) (.f64 (-.f64 1 x) z) (+.f64 z (*.f64 y x))))
(if (<=.f64 y -479999999999999976550685457073095527769928301893071000430994297937663921035179735096577996037791154176) (.f64 y x) (if (<=.f64 y -3914856805764953/2658455991569831745807614120560689152) (.f64 z (-.f64 1 x)) (if (<=.f64 y -2972598439184061/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288) (.f64 y x) (if (<=.f64 y 3419834734192871/383123885216472214589586756787577295904684780545900544) (.f64 z (-.f64 1 x)) (*.f64 y x)))))
(if (<=.f64 y -479999999999999976550685457073095527769928301893071000430994297937663921035179735096577996037791154176) (.f64 y x) (if (<=.f64 y -3914856805764953/2658455991569831745807614120560689152) (.f64 (-.f64 1 x) z) (if (<=.f64 y -2972598439184061/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288) (.f64 y x) (if (<=.f64 y 3419834734192871/383123885216472214589586756787577295904684780545900544) (.f64 (-.f64 1 x) z) (*.f64 y x)))))
(if (<=.f64 x -12500000000000000595591168) (.f64 z (neg.f64 x)) (if (<=.f64 x -7022233612114765/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256) (.f64 y x) (if (<=.f64 x 7993533806770245/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712) z (if (<=.f64 x 215000000000000006333124926936975986448950244360101909843908801069787815479381807415846032503734272) (.f64 y x) (if (<=.f64 x 480000000000000005045588237442054684208587833628212837423818842454169739115359949786029935866077511315648713511583102471212096504067600194518220105214645015789050287541683457022316369570924120947719736037298531228898516445826893479936) (.f64 z (neg.f64 x)) (*.f64 y x))))))
(if (<=.f64 x -4904588657959713/2658455991569831745807614120560689152) (.f64 y x) (if (<=.f64 x -8168973957960177/374144419156711147060143317175368453031918731001856) z (if (<=.f64 x -7022233612114765/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256) (.f64 y x) (if (<=.f64 x 7993533806770245/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712) z (*.f64 y x)))))
z

Compiler

Compiled 198 to 110 computations (44.4% saved)

soundness0.0ms (0%)

end159.0ms (2.9%)

Compiler: Compiled 174 to 78 computations (55.2% saved)

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

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

Details

analyze333.0ms (6.1%)

sample1.7s (31.6%)

preprocess97.0ms (1.8%)

simplify33.0ms (0.6%)

eval1.0ms (0%)

prune1.0ms (0%)

localize11.0ms (0.2%)

series9.0ms (0.2%)

rewrite76.0ms (1.4%)

simplify50.0ms (0.9%)

localize6.0ms (0.1%)

series4.0ms (0.1%)

rewrite53.0ms (1%)

simplify47.0ms (0.9%)

eval72.0ms (1.3%)

prune92.0ms (1.7%)

localize68.0ms (1.2%)

localize7.0ms (0.1%)

localize10.0ms (0.2%)

series8.0ms (0.1%)

rewrite70.0ms (1.3%)

simplify49.0ms (0.9%)

localize5.0ms (0.1%)

series3.0ms (0%)

rewrite82.0ms (1.5%)

simplify10.0ms (0.2%)

localize11.0ms (0.2%)

series4.0ms (0.1%)

rewrite52.0ms (0.9%)

simplify20.0ms (0.4%)

eval31.0ms (0.6%)

prune27.0ms (0.5%)

localize39.0ms (0.7%)

series3.0ms (0.1%)

rewrite62.0ms (1.1%)

simplify43.0ms (0.8%)

localize5.0ms (0.1%)

localize31.0ms (0.6%)

series2.0ms (0%)

rewrite51.0ms (0.9%)

simplify20.0ms (0.4%)

localize4.0ms (0.1%)

localize8.0ms (0.1%)

series6.0ms (0.1%)

rewrite60.0ms (1.1%)

simplify45.0ms (0.8%)

eval50.0ms (0.9%)

prune23.0ms (0.4%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes36.0ms (0.7%)

regimes34.0ms (0.6%)

regimes20.0ms (0.4%)

regimes39.0ms (0.7%)

bsearch37.0ms (0.7%)

regimes76.0ms (1.4%)

bsearch38.0ms (0.7%)

regimes92.0ms (1.7%)

bsearch173.0ms (3.2%)

regimes91.0ms (1.7%)

bsearch566.0ms (10.3%)

regimes55.0ms (1%)

bsearch97.0ms (1.8%)

regimes409.0ms (7.5%)

simplify28.0ms (0.5%)

soundness0.0ms (0%)

end159.0ms (2.9%)

Profiling

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