Details

analyze228.0ms (6.9%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.3s (39.2%)

Results

1.1s	8256×	body	256	valid
179.0ms	1225×	body	256	invalid

preprocess99.0ms (3%)

Algorithm

2×	egg-herbie

Rules

937×	`fma-neg_binary64`
564×	`fma-def_binary64`
322×	`cancel-sign-sub-inv_binary64`
129×	`associate--r+_binary64`
126×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	44
1	42	44
2	71	44
3	124	40
4	195	40
5	276	40
6	420	40
7	665	40
8	1439	40
9	2619	40
10	3083	40
11	3338	40
12	3355	40
13	3355	40
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 x 1) z))
(+.f64 (.f64 y x) (.f64 (-.f64 y 1) z))
(+.f64 (.f64 z y) (.f64 (-.f64 z 1) x))
(+.f64 (.f64 x z) (.f64 (-.f64 x 1) y))

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify34.0ms (1%)

Algorithm

1×	egg-herbie

Rules

299×	`fma-neg_binary64`
252×	`fma-def_binary64`
95×	`cancel-sign-sub-inv_binary64`
43×	`distribute-rgt-neg-in_binary64`
42×	`associate--r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	18	11
2	28	11
3	46	10
4	65	10
5	90	10
6	140	10
7	224	10
8	477	10
9	849	10
10	1137	10
11	1228	10
12	1233	10

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 19 to 11 computations (42.1% 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	(-.f64 (*.f64 x (+.f64 y z)) z)
▶	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))

Compiler

Compiled 22 to 14 computations (36.4% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 14 computations (48.1% saved)

series8.0ms (0.2%)

Counts

2 → 48

Calls

15 calls:

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

rewrite72.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

465×	`log-prod_binary64`
414×	`prod-exp_binary64`
376×	`fma-def_binary64`
353×	`pow-prod-down_binary64`
343×	`exp-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	194	18
2	2654	18

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

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

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

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

simplify47.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

256×	`fma-neg_binary64`
216×	`fma-def_binary64`
92×	`cancel-sign-sub-inv_binary64`
57×	`distribute-rgt-in_binary64`
46×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	406
1	54	394
2	120	394
3	298	394
4	693	394
5	1119	394
6	1324	394
7	1347	394

Stop Event

1×

saturated

Counts

162 → 130

Calls

Call 1

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

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

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series7.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

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

rewrite79.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

470×	`fma-def_binary64`
437×	`log-prod_binary64`
434×	`prod-exp_binary64`
349×	`pow-prod-down_binary64`
319×	`exp-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	165	17
2	2566	17

Stop Event

1×	node limit

Counts

2 → 195

Calls

Call 1

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

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

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

simplify56.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

309×	`fma-neg_binary64`
284×	`fma-def_binary64`
66×	`cancel-sign-sub-inv_binary64`
55×	`associate-r_binary64`
48×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	554
1	65	554
2	135	554
3	255	554
4	509	554
5	814	554
6	1220	554
7	1431	554
8	1442	554

Stop Event

1×

saturated

Counts

267 → 210

Calls

Call 1

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

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

eval75.0ms (2.3%)

Compiler: Compiled 4884 to 1913 computations (60.8% saved)

prune55.0ms (1.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	333	7	340
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	334	8	342

Error

Counts

342 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.2b	(neg.f64 z)
▶	29.4b	(*.f64 (+.f64 y z) x)
▶	12.3b	(-.f64 (*.f64 y x) z)
✓	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))
▶	0.0b	(fma.f64 (+.f64 y z) x (neg.f64 z))
	29.4b	(+.f64 (.f64 x y) (.f64 z x))
▶	40.9b	(*.f64 y x)
	22.4b	(-.f64 (*.f64 z x) z)

Compiler

Compiled 122 to 78 computations (36.1% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 6 computations (66.7% saved)

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite60.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

723×	`pow1_binary64`
670×	`add-log-exp_binary64`
669×	`log1p-expm1-u_binary64`
669×	`expm1-log1p-u_binary64`
654×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	152	8
2	2140	8

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 (+.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 y z) x) z)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 y z) x) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 y z) x) z)))) (#(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 (*.f64 (+.f64 y z) x) 0) 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 (*.f64 (+.f64 y z) x) 3) (pow.f64 z 3)) (+.f64 (*.f64 (*.f64 (+.f64 y z) x) (*.f64 (+.f64 y z) x)) (-.f64 (*.f64 z z) (*.f64 (*.f64 (+.f64 y z) x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (+.f64 y z) x) (*.f64 (+.f64 y z) x)) (*.f64 z z)) (fma.f64 (+.f64 y z) x z))))) (#(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)))))))

simplify43.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

309×	`fma-neg_binary64`
284×	`fma-def_binary64`
66×	`cancel-sign-sub-inv_binary64`
55×	`associate-r_binary64`
48×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	320
1	65	320
2	135	320
3	255	320
4	510	320
5	818	320
6	1227	320
7	1438	320
8	1449	320

Stop Event

1×

saturated

Counts

59 → 38

Calls

Call 1

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

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

localize3.0ms (0.1%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize3.0ms (0.1%)

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

localize6.0ms (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)

series3.0ms (0.1%)

Counts

1 → 24

Calls

9 calls:

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

rewrite51.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

715×	`pow1_binary64`
663×	`add-log-exp_binary64`
663×	`log1p-expm1-u_binary64`
663×	`expm1-log1p-u_binary64`
648×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	7
2	1776	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x z) (*.f64 x y))))) (#(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 z y))))))) (#(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 z y))))))) (#(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)))))))

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	150
1	13	150
2	19	150

Stop Event

1×

saturated

Counts

45 → 25

Calls

Call 1

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

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

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite53.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

717×	`pow1_binary64`
664×	`add-log-exp_binary64`
664×	`log1p-expm1-u_binary64`
664×	`expm1-log1p-u_binary64`
649×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	130	7
2	1784	7

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify27.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

90×	`fma-def_binary64`
61×	`fma-neg_binary64`
23×	`cancel-sign-sub-inv_binary64`
16×	`unsub-neg_binary64`
15×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	248
1	13	221
2	19	221
3	24	221
4	40	221
5	67	221
6	131	221
7	219	221
8	305	221
9	367	221
10	401	221
11	403	221

Stop Event

1×

saturated

Counts

73 → 42

Calls

Call 1

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

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

eval18.0ms (0.6%)

Compiler: Compiled 1036 to 337 computations (67.5% saved)

prune19.0ms (0.6%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	101	4	105
Fresh	2	0	2
Picked	0	1	1
Done	1	4	5
Total	104	9	113

Error

Counts

113 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.2b	(neg.f64 z)
✓	29.4b	(*.f64 (+.f64 y z) x)
✓	12.3b	(-.f64 (*.f64 y x) z)
▶	22.4b	(-.f64 (*.f64 z x) z)
✓	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))
✓	40.9b	(*.f64 y x)
▶	29.4b	(+.f64 (.f64 z x) (.f64 y x))
▶	50.9b	(*.f64 z x)
▶	12.3b	(fma.f64 y x (neg.f64 z))

Compiler

Compiled 71 to 46 computations (35.2% saved)

localize3.0ms (0.1%)

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

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series4.0ms (0.1%)

Counts

1 → 18

Calls

9 calls:

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

rewrite56.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`pow1_binary64`
774×	`add-log-exp_binary64`
774×	`log1p-expm1-u_binary64`
774×	`expm1-log1p-u_binary64`
757×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	151	7
2	2106	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify24.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

90×	`fma-neg_binary64`
85×	`fma-def_binary64`
42×	`cancel-sign-sub-inv_binary64`
40×	`distribute-rgt-in_binary64`
34×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	108
1	31	108
2	76	108
3	210	108
4	434	108
5	567	108
6	677	108
7	682	108

Stop Event

1×

saturated

Counts

59 → 47

Calls

Call 1

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

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

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite50.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`pow1_binary64`
584×	`add-log-exp_binary64`
584×	`log1p-expm1-u_binary64`
584×	`expm1-log1p-u_binary64`
571×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	111	7
2	1573	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify21.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

82×	`fma-def_binary64`
58×	`fma-neg_binary64`
20×	`associate-r_binary64`
18×	`unsub-neg_binary64`
17×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	158
1	37	158
2	88	158
3	180	158
4	300	158
5	397	158
6	425	158

Stop Event

1×

saturated

Counts

62 → 46

Calls

Call 1

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

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

localize6.0ms (0.2%)

Compiler: Compiled 13 to 5 computations (61.5% saved)

eval18.0ms (0.5%)

Compiler: Compiled 1059 to 346 computations (67.3% saved)

prune19.0ms (0.6%)

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	93	9	102

Error

Counts

102 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.2b	(neg.f64 z)
✓	29.4b	(*.f64 (+.f64 y z) x)
✓	12.3b	(-.f64 (*.f64 y x) z)
✓	22.4b	(-.f64 (*.f64 z x) z)
✓	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))
✓	40.9b	(*.f64 y x)
✓	29.4b	(+.f64 (.f64 z x) (.f64 y x))
✓	50.9b	(*.f64 z x)
✓	12.3b	(fma.f64 y x (neg.f64 z))

Compiler

Compiled 71 to 46 computations (35.2% saved)

regimes35.0ms (1.1%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))
8.0ms	y
8.0ms	z
7.0ms	x

Results

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

Compiler

Compiled 97 to 38 computations (60.8% saved)

regimes33.0ms (1%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 90 to 37 computations (58.9% saved)

regimes56.0ms (1.7%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	z
16.0ms	x
16.0ms	y

Results

Error	Segments	Branch
1.1b	3	`x`
6.9b	3	`y`
6.7b	3	`z`

Compiler

Compiled 57 to 22 computations (61.4% saved)

bsearch36.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.0008018899533276965	3.970217287830991
18.0ms	-966.3580826460436	-4.326440896130402

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes56.0ms (1.7%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	z
20.0ms	y
13.0ms	x

Results

Error	Segments	Branch
9.3b	3	`x`
15.2b	5	`y`
13.2b	5	`z`

Compiler

Compiled 33 to 18 computations (45.5% saved)

bsearch37.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	0.0008018899533276965	3.970217287830991
18.0ms	-1.923311377704013e-42	-3.9839901099627847e-51

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes59.0ms (1.8%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

3 calls:

28.0ms	y
18.0ms	z
11.0ms	x

Results

Error	Segments	Branch
20.5b	2	`x`
16.3b	7	`y`
14.3b	5	`z`

Compiler

Compiled 28 to 16 computations (42.9% saved)

bsearch74.0ms (2.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
19.0ms	4.979555220151408e-148	8.981043760564239e-144
19.0ms	-9.534165166519795e-159	-1.2092824347706738e-161
18.0ms	-16577504821.054987	-1175578.203674155
19.0ms	-4.422259539747526e+27	-1.180659894097856e+27

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes63.0ms (1.9%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

28.0ms	z
23.0ms	y
10.0ms	x

Results

Error	Segments	Branch
20.8b	3	`x`
26.0b	7	`y`
23.0b	9	`z`

Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch37.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	9.191320262236147e-13	2.9843999828619676e-9
19.0ms	-1.923311377704013e-42	-3.9839901099627847e-51

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes34.0ms (1%)

Accuracy

Total -38.3b remaining (-163.3%)

Threshold costs -38.3b (-163.3%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	z
9.0ms	x
9.0ms	y

Results

Error	Segments	Branch
23.5b	3	`x`
33.1b	3	`y`
32.0b	5	`z`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch36.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	2277504396.679781	741615262929.6936
18.0ms	-0.010586985840304172	-5.999929577908633e-11

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	188
1	59	188
2	64	188
3	65	188

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 y z) x (neg.f64 z))
(-.f64 (*.f64 x (+.f64 y z)) z)
(if (<=.f64 x -4250087793858583/4398046511104) (.f64 (+.f64 y z) x) (if (<=.f64 x 7396129372157457/9223372036854775808) (-.f64 (.f64 y x) z) (*.f64 (+.f64 y z) x)))
(if (<=.f64 x -1509102648334351/784637716923335095479473677900958302012794430558004314112) (.f64 (+.f64 y z) x) (if (<=.f64 x 7396129372157457/9223372036854775808) (-.f64 (.f64 z x) z) (*.f64 (+.f64 y z) x)))
(if (<=.f64 z -4422259539747525946651967488) (-.f64 (.f64 z x) z) (if (<=.f64 z -8691386847621277/524288) (.f64 y x) (if (<=.f64 z -4716177796692459/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) (-.f64 (.f64 z x) z) (if (<=.f64 z 7168828694601201/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431104) (.f64 y x) (-.f64 (*.f64 z x) z)))))
(if (<=.f64 x -1509102648334351/784637716923335095479473677900958302012794430558004314112) (.f64 y x) (if (<=.f64 x 4551321346606851/4951760157141521099596496896) (neg.f64 z) (.f64 y x)))
(if (<=.f64 x -6102981822127435/576460752303423488) (.f64 z x) (if (<=.f64 x 1194068225126449/524288) (neg.f64 z) (.f64 z x)))
(neg.f64 z)

Outputs
(fma.f64 (+.f64 y z) x (neg.f64 z))
(-.f64 (*.f64 x (+.f64 y z)) z)
(-.f64 (*.f64 (+.f64 y z) x) z)
(if (<=.f64 x -4250087793858583/4398046511104) (.f64 (+.f64 y z) x) (if (<=.f64 x 7396129372157457/9223372036854775808) (-.f64 (.f64 y x) z) (*.f64 (+.f64 y z) x)))
(if (<=.f64 x -1509102648334351/784637716923335095479473677900958302012794430558004314112) (.f64 (+.f64 y z) x) (if (<=.f64 x 7396129372157457/9223372036854775808) (-.f64 (.f64 z x) z) (*.f64 (+.f64 y z) x)))
(if (<=.f64 z -4422259539747525946651967488) (-.f64 (.f64 z x) z) (if (<=.f64 z -8691386847621277/524288) (.f64 y x) (if (<=.f64 z -4716177796692459/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) (-.f64 (.f64 z x) z) (if (<=.f64 z 7168828694601201/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431104) (.f64 y x) (-.f64 (*.f64 z x) z)))))
(if (<=.f64 x -1509102648334351/784637716923335095479473677900958302012794430558004314112) (.f64 y x) (if (<=.f64 x 4551321346606851/4951760157141521099596496896) (neg.f64 z) (.f64 y x)))
(if (<=.f64 x -6102981822127435/576460752303423488) (.f64 z x) (if (<=.f64 x 1194068225126449/524288) (neg.f64 z) (.f64 z x)))
(neg.f64 z)

Compiler

Compiled 155 to 82 computations (47.1% saved)

soundness69.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

299×	`fma-neg_binary64`
252×	`fma-def_binary64`
95×	`cancel-sign-sub-inv_binary64`
43×	`distribute-rgt-neg-in_binary64`
42×	`associate--r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	18	11
2	28	11
3	46	10
4	65	10
5	90	10
6	140	10
7	224	10
8	477	10
9	849	10
10	1137	10
11	1228	10
12	1233	10

Stop Event

1×

saturated

Compiler

Compiled 116 to 75 computations (35.3% saved)

end56.0ms (1.7%)

Compiler: Compiled 134 to 48 computations (64.2% saved)

Iter	Nodes	Cost
0	8	248
1	13	221
2	19	221
3	24	221
4	40	221
5	67	221
6	131	221
7	219	221
8	305	221
9	367	221
10	401	221
11	403	221

Iter	Nodes	Cost
0	8	248
1	13	221
2	19	221
3	24	221
4	40	221
5	67	221
6	131	221
7	219	221
8	305	221
9	367	221
10	401	221
11	403	221

Details

analyze228.0ms (6.9%)

sample1.3s (39.2%)

preprocess99.0ms (3%)

simplify34.0ms (1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize11.0ms (0.3%)

series8.0ms (0.2%)

rewrite72.0ms (2.2%)

simplify47.0ms (1.4%)

localize7.0ms (0.2%)

series7.0ms (0.2%)

rewrite79.0ms (2.4%)

simplify56.0ms (1.7%)

eval75.0ms (2.3%)

prune55.0ms (1.7%)

localize8.0ms (0.2%)

series3.0ms (0.1%)

rewrite60.0ms (1.8%)

simplify43.0ms (1.3%)

localize3.0ms (0.1%)

localize3.0ms (0.1%)

localize6.0ms (0.2%)

series3.0ms (0.1%)

rewrite51.0ms (1.5%)

simplify10.0ms (0.3%)

localize6.0ms (0.2%)

series3.0ms (0.1%)

rewrite53.0ms (1.6%)

simplify27.0ms (0.8%)

eval18.0ms (0.6%)

prune19.0ms (0.6%)

localize3.0ms (0.1%)

localize7.0ms (0.2%)

series4.0ms (0.1%)

rewrite56.0ms (1.7%)

simplify24.0ms (0.7%)

localize5.0ms (0.2%)

series3.0ms (0.1%)

rewrite50.0ms (1.5%)

simplify21.0ms (0.6%)

localize6.0ms (0.2%)

eval18.0ms (0.5%)

prune19.0ms (0.6%)

regimes35.0ms (1.1%)

regimes33.0ms (1%)

regimes56.0ms (1.7%)

bsearch36.0ms (1.1%)

regimes56.0ms (1.7%)

bsearch37.0ms (1.1%)

regimes59.0ms (1.8%)

bsearch74.0ms (2.3%)

regimes63.0ms (1.9%)

bsearch37.0ms (1.1%)

regimes34.0ms (1%)

bsearch36.0ms (1.1%)

simplify11.0ms (0.3%)

soundness69.0ms (2.1%)

end56.0ms (1.7%)

Profiling

Iter	Nodes	Cost
0	8	248
1	13	221
2	19	221
3	24	221
4	40	221
5	67	221
6	131	221
7	219	221
8	305	221
9	367	221
10	401	221
11	403	221