Details

analyze765.0ms (25.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
25%	71.8%	3.3%	9
34.3%	60.1%	5.6%	10
41.3%	51.5%	7.2%	11
46.8%	44.1%	9.1%	12
53.2%	35.7%	11.1%	13
58%	29.1%	12.9%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.2s (39.5%)

Results

1.1s	8256×	body	128	valid
88.0ms	843×	body	128	invalid

preprocess55.0ms (1.8%)

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	196	40
5	277	40
6	421	40
7	665	40
8	1442	40
9	2604	40
10	3068	40
11	3323	40
12	3340	40
13	3340	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)
(+.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)
(+.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)
(-.f64 (*.f64 z (+.f64 x y)) x)
(fma.f64 z (+.f64 x y) (neg.f64 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 12 to 8 computations (33.3% saved)

simplify20.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	18	11
2	28	11
3	43	10
4	62	10
5	87	10
6	137	10
7	223	10
8	475	10
9	841	10
10	1129	10
11	1215	10
12	1220	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)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 44 to 28 computations (36.4% saved)

localize5.0ms (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))

series9.0ms (0.3%)

Counts

2 → 72

Calls

18 calls:

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

rewrite56.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

455×	`fma-def_binary64`
437×	`log-prod_binary64`
227×	`fma-neg_binary64`
158×	`expm1-udef_binary64`
158×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	165	17
2	2564	17

Stop Event

1×	node limit

Counts

2 → 182

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

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

simplify46.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

313×	`fma-neg_binary64`
284×	`fma-def_binary64`
54×	`associate-r_binary64`
53×	`cancel-sign-sub-inv_binary64`
43×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	554
1	66	554
2	132	554
3	253	554
4	507	554
5	814	554
6	1209	554
7	1358	554
8	1369	554

Stop Event

1×

saturated

Counts

254 → 196

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

eval41.0ms (1.4%)

Compiler: Compiled 2841 to 750 computations (73.6% saved)

prune468.0ms (15.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	194	2	196
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	196	2	198

Error

Counts

198 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 42 to 24 computations (42.9% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite36.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

723×	`pow1_binary64`
669×	`log1p-expm1-u_binary64`
669×	`expm1-log1p-u_binary64`
82×	`add-sqr-sqrt_binary64`
79×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	152	8
2	2135	8

Stop Event

1×	node limit

Counts

1 → 25

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

simplify30.0ms (1%)

Algorithm

1×	egg-herbie

Rules

309×	`fma-neg_binary64`
280×	`fma-def_binary64`
55×	`cancel-sign-sub-inv_binary64`
54×	`associate-r_binary64`
43×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	320
1	66	320
2	132	320
3	253	320
4	507	320
5	813	320
6	1202	320
7	1355	320
8	1366	320

Stop Event

1×

saturated

Counts

61 → 40

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

eval6.0ms (0.2%)

Compiler: Compiled 376 to 114 computations (69.7% saved)

prune25.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	40	2	42

Error

Counts

42 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 32 to 18 computations (43.8% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series6.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

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

rewrite43.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	151	18
2	2061	18

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

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

Outputs

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

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

simplify34.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

395×	`fma-def_binary64`
240×	`fma-neg_binary64`
55×	`unsub-neg_binary64`
52×	`distribute-rgt-in_binary64`
50×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	478
1	87	478
2	201	478
3	436	478
4	965	478
5	1261	478
6	1365	478
7	1367	478

Stop Event

1×

saturated

Counts

125 → 84

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 -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 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 -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 (-.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))))

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

eval20.0ms (0.7%)

Compiler: Compiled 1070 to 536 computations (49.9% saved)

prune107.0ms (3.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	84	2	86

Error

Counts

86 → 2

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(fma.f64 y x (-.f64 (*.f64 x z) z))
✓	0.0b	(fma.f64 (+.f64 y z) x (neg.f64 z))

Compiler

Compiled 21 to 12 computations (42.9% saved)

regimes19.0ms (0.6%)

Accuracy

Total -0.0b remaining (-350%)

Threshold costs -0.0b (-350%)

Counts

4 → 1

Calls

Call 1

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

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

Results

Time	Error	Segments	Branch
4.0ms	0.0b	1	`x`
6.0ms	0.0b	1	`y`
4.0ms	0.0b	1	`z`
4.0ms	0.0b	1	`(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))`

Compiler

Compiled 58 to 33 computations (43.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	12	10
2	14	10
3	15	10

Stop Event

1×

saturated

Calls

Call 1

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

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

end14.0ms (0.4%)

Stop Event

1×

done

Compiler

Compiled 20 to 12 computations (40% saved)

Details

analyze765.0ms (25.4%)

sample1.2s (39.5%)

preprocess55.0ms (1.8%)

simplify20.0ms (0.7%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

series9.0ms (0.3%)

rewrite56.0ms (1.8%)

simplify46.0ms (1.5%)

eval41.0ms (1.4%)

prune468.0ms (15.5%)

localize5.0ms (0.2%)

series4.0ms (0.1%)

rewrite36.0ms (1.2%)

simplify30.0ms (1%)

eval6.0ms (0.2%)

prune25.0ms (0.8%)

localize6.0ms (0.2%)

series6.0ms (0.2%)

rewrite43.0ms (1.4%)

simplify34.0ms (1.1%)

eval20.0ms (0.7%)

prune107.0ms (3.5%)

regimes19.0ms (0.6%)

simplify2.0ms (0.1%)

end14.0ms (0.4%)

Profiling