Details

analyze462.0ms (19.5%)

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
31.2%	68.6%	0.1%	9
40.6%	50.7%	8.7%	10
48.4%	42.1%	9.5%	11
54.2%	35.5%	10.3%	12
59.1%	25.9%	15%	13
63.9%	20.9%	15.3%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample934.0ms (39.4%)

Results

854.0ms	8256×	body	128	valid
65.0ms	614×	body	128	invalid

Compiler

Compiled 26 to 18 computations (30.8% saved)

preprocess64.0ms (2.7%)

Algorithm

2×	egg-herbie

Rules

1322×	`fma-neg_binary64`
1043×	`fma-def_binary64`
254×	`unsub-neg_binary64`
236×	`distribute-rgt-in_binary64`
145×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	52
1	47	44
2	116	44
3	276	44
4	666	44
5	1268	44
6	2428	44
7	3868	44
8	4074	44
9	4119	44
10	4119	44
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
(+.f64 y (.f64 (.f64 (-.f64 x y) 6) z))
(+.f64 z (.f64 (.f64 (-.f64 y z) 6) x))
(+.f64 x (.f64 (.f64 (-.f64 z x) 6) y))

Outputs
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
(+.f64 x (.f64 (-.f64 y x) (.f64 6 z)))
(fma.f64 (-.f64 y x) (*.f64 6 z) x)
(fma.f64 6 (*.f64 (-.f64 y x) z) x)
(+.f64 y (.f64 (.f64 (-.f64 x y) 6) z))
(+.f64 y (.f64 z (.f64 6 (-.f64 x y))))
(fma.f64 z (*.f64 6 (-.f64 x y)) y)
(fma.f64 6 (*.f64 z (-.f64 x y)) y)
(fma.f64 (-.f64 x y) (*.f64 6 z) y)
(fma.f64 z (*.f64 (-.f64 y x) -6) y)
(fma.f64 (-.f64 y x) (*.f64 z -6) y)
(+.f64 z (.f64 (.f64 (-.f64 y z) 6) x))
(+.f64 z (.f64 x (.f64 6 (-.f64 y z))))
(fma.f64 x (*.f64 6 (-.f64 y z)) z)
(fma.f64 6 (*.f64 x (-.f64 y z)) z)
(+.f64 x (.f64 (.f64 (-.f64 z x) 6) y))
(+.f64 x (.f64 y (.f64 6 (-.f64 z x))))
(fma.f64 y (*.f64 6 (-.f64 z x)) x)

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify39.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

780×	`fma-def_binary64`
515×	`fma-neg_binary64`
141×	`cancel-sign-sub-inv_binary64`
122×	`distribute-rgt-in_binary64`
106×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	16	11
2	37	11
3	93	11
4	218	11
5	415	11
6	601	11
7	952	11
8	1570	11
9	2157	11
10	2614	11
11	2678	11
12	2680	11
13	2680	11

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))

Outputs
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
(+.f64 x (.f64 (-.f64 y x) (.f64 6 z)))
(fma.f64 (-.f64 y x) (*.f64 6 z) x)
(fma.f64 6 (*.f64 (-.f64 y x) z) x)

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.4b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
▶	0.2b	(fma.f64 6 (*.f64 (-.f64 y x) z) x)

Compiler

Compiled 66 to 41 computations (37.9% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 y x) z)
✓	0.2b	(fma.f64 6 (*.f64 (-.f64 y x) z) x)

series14.0ms (0.6%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	(*.f64 (-.f64 y x) z)
1.0ms	x	@	inf	(*.f64 (-.f64 y x) z)
1.0ms	z	@	0	(fma.f64 6 (*.f64 (-.f64 y x) z) x)
1.0ms	z	@	0	(*.f64 (-.f64 y x) z)
1.0ms	y	@	-inf	(fma.f64 6 (*.f64 (-.f64 y x) z) x)

rewrite43.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

848×	`log1p-expm1-u_binary64`
848×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`
87×	`*-un-lft-identity_binary64`
87×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	171	18
2	2228	18

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

Inputs
(fma.f64 6 (*.f64 (-.f64 y x) z) x)
(*.f64 (-.f64 y x) z)

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

Outputs

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

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

simplify61.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

572×	`fma-def_binary64`
520×	`fma-neg_binary64`
107×	`cancel-sign-sub-inv_binary64`
101×	`associate-l_binary64`
87×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	861
1	96	663
2	227	657
3	506	603
4	1028	603
5	1781	603
6	2171	603
7	2292	603
8	2296	603
9	2296	603

Stop Event

1×

saturated

Counts

116 → 63

Calls

Call 1

Inputs
(-.f64 x (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(.f64 6 (.f64 y z))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(.f64 6 (.f64 y z))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(.f64 6 (.f64 y z))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(.f64 (-.f64 1 (.f64 6 z)) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(.f64 -1 (.f64 (-.f64 (*.f64 6 z) 1) x))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
x
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(.f64 -1 (.f64 z (-.f64 (.f64 6 x) (.f64 6 y))))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(.f64 -1 (.f64 z x))
(-.f64 (.f64 y z) (.f64 z x))
(-.f64 (.f64 y z) (.f64 z x))
(-.f64 (.f64 y z) (.f64 z x))
(*.f64 y z)
(-.f64 (.f64 y z) (.f64 z x))
(-.f64 (.f64 y z) (.f64 z x))
(-.f64 (.f64 y z) (.f64 z x))
(*.f64 y z)
(-.f64 (.f64 y z) (.f64 z x))
(-.f64 (.f64 y z) (.f64 z x))
(-.f64 (.f64 y z) (.f64 z x))
(*.f64 y z)
(-.f64 (.f64 y z) (.f64 z x))
(-.f64 (.f64 y z) (.f64 z x))
(-.f64 (.f64 y z) (.f64 z x))
(.f64 -1 (.f64 z x))
(-.f64 (.f64 y z) (.f64 z x))
(-.f64 (.f64 y z) (.f64 z x))
(-.f64 (.f64 y z) (.f64 z x))
(.f64 -1 (.f64 z x))
(-.f64 (.f64 y z) (.f64 z x))
(-.f64 (.f64 y z) (.f64 z x))
(-.f64 (.f64 y z) (.f64 z x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))

Outputs
(-.f64 x (.f64 6 (.f64 z x)))
(+.f64 x (.f64 -6 (.f64 x z)))
(+.f64 x (.f64 (.f64 x z) -6))
(fma.f64 (*.f64 x z) -6 x)
(fma.f64 x (*.f64 z -6) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 z y) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(+.f64 x (.f64 z (.f64 -6 (-.f64 x y))))
(fma.f64 (*.f64 z -6) (-.f64 x y) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 z y) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(+.f64 x (.f64 z (.f64 -6 (-.f64 x y))))
(fma.f64 (*.f64 z -6) (-.f64 x y) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 z y) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(+.f64 x (.f64 z (.f64 -6 (-.f64 x y))))
(fma.f64 (*.f64 z -6) (-.f64 x y) x)
(.f64 6 (.f64 y z))
(.f64 6 (.f64 z y))
(.f64 z (.f64 6 y))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 z y) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(+.f64 x (.f64 z (.f64 -6 (-.f64 x y))))
(fma.f64 (*.f64 z -6) (-.f64 x y) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 z y) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(+.f64 x (.f64 z (.f64 -6 (-.f64 x y))))
(fma.f64 (*.f64 z -6) (-.f64 x y) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 z y) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(+.f64 x (.f64 z (.f64 -6 (-.f64 x y))))
(fma.f64 (*.f64 z -6) (-.f64 x y) x)
(.f64 6 (.f64 y z))
(.f64 6 (.f64 z y))
(.f64 z (.f64 6 y))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 z y) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(+.f64 x (.f64 z (.f64 -6 (-.f64 x y))))
(fma.f64 (*.f64 z -6) (-.f64 x y) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 z y) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(+.f64 x (.f64 z (.f64 -6 (-.f64 x y))))
(fma.f64 (*.f64 z -6) (-.f64 x y) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 z y) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(+.f64 x (.f64 z (.f64 -6 (-.f64 x y))))
(fma.f64 (*.f64 z -6) (-.f64 x y) x)
(.f64 6 (.f64 y z))
(.f64 6 (.f64 z y))
(.f64 z (.f64 6 y))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 z y) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(+.f64 x (.f64 z (.f64 -6 (-.f64 x y))))
(fma.f64 (*.f64 z -6) (-.f64 x y) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 z y) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(+.f64 x (.f64 z (.f64 -6 (-.f64 x y))))
(fma.f64 (*.f64 z -6) (-.f64 x y) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 z y) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(+.f64 x (.f64 z (.f64 -6 (-.f64 x y))))
(fma.f64 (*.f64 z -6) (-.f64 x y) x)
(.f64 (-.f64 1 (.f64 6 z)) x)
(+.f64 x (.f64 -6 (.f64 x z)))
(+.f64 x (.f64 (.f64 x z) -6))
(fma.f64 (*.f64 x z) -6 x)
(fma.f64 x (*.f64 z -6) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 z y) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(+.f64 x (.f64 z (.f64 -6 (-.f64 x y))))
(fma.f64 (*.f64 z -6) (-.f64 x y) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 z y) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(+.f64 x (.f64 z (.f64 -6 (-.f64 x y))))
(fma.f64 (*.f64 z -6) (-.f64 x y) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 z y) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(+.f64 x (.f64 z (.f64 -6 (-.f64 x y))))
(fma.f64 (*.f64 z -6) (-.f64 x y) x)
(.f64 -1 (.f64 (-.f64 (*.f64 6 z) 1) x))
(+.f64 x (.f64 -6 (.f64 x z)))
(+.f64 x (.f64 (.f64 x z) -6))
(fma.f64 (*.f64 x z) -6 x)
(fma.f64 x (*.f64 z -6) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 z y) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(+.f64 x (.f64 z (.f64 -6 (-.f64 x y))))
(fma.f64 (*.f64 z -6) (-.f64 x y) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 z y) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(+.f64 x (.f64 z (.f64 -6 (-.f64 x y))))
(fma.f64 (*.f64 z -6) (-.f64 x y) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 z y) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(+.f64 x (.f64 z (.f64 -6 (-.f64 x y))))
(fma.f64 (*.f64 z -6) (-.f64 x y) x)
x
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 z y) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(+.f64 x (.f64 z (.f64 -6 (-.f64 x y))))
(fma.f64 (*.f64 z -6) (-.f64 x y) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 z y) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(+.f64 x (.f64 z (.f64 -6 (-.f64 x y))))
(fma.f64 (*.f64 z -6) (-.f64 x y) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 z y) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(+.f64 x (.f64 z (.f64 -6 (-.f64 x y))))
(fma.f64 (*.f64 z -6) (-.f64 x y) x)
(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 6 (.f64 z (-.f64 y x)))
(.f64 z (.f64 -6 (-.f64 x y)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 z y) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(+.f64 x (.f64 z (.f64 -6 (-.f64 x y))))
(fma.f64 (*.f64 z -6) (-.f64 x y) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 z y) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(+.f64 x (.f64 z (.f64 -6 (-.f64 x y))))
(fma.f64 (*.f64 z -6) (-.f64 x y) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 z y) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(+.f64 x (.f64 z (.f64 -6 (-.f64 x y))))
(fma.f64 (*.f64 z -6) (-.f64 x y) x)
(.f64 -1 (.f64 z (-.f64 (.f64 6 x) (.f64 6 y))))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 6 (.f64 z (-.f64 y x)))
(.f64 z (.f64 -6 (-.f64 x y)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 z y) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(+.f64 x (.f64 z (.f64 -6 (-.f64 x y))))
(fma.f64 (*.f64 z -6) (-.f64 x y) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 z y) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(+.f64 x (.f64 z (.f64 -6 (-.f64 x y))))
(fma.f64 (*.f64 z -6) (-.f64 x y) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 z y) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(+.f64 x (.f64 z (.f64 -6 (-.f64 x y))))
(fma.f64 (*.f64 z -6) (-.f64 x y) x)
(.f64 -1 (.f64 z x))
(neg.f64 (*.f64 x z))
(*.f64 x (neg.f64 z))
(-.f64 (.f64 y z) (.f64 z x))
(-.f64 (.f64 z y) (.f64 x z))
(*.f64 z (-.f64 y x))
(-.f64 (.f64 y z) (.f64 z x))
(-.f64 (.f64 z y) (.f64 x z))
(*.f64 z (-.f64 y x))
(-.f64 (.f64 y z) (.f64 z x))
(-.f64 (.f64 z y) (.f64 x z))
(*.f64 z (-.f64 y x))
(*.f64 y z)
(*.f64 z y)
(-.f64 (.f64 y z) (.f64 z x))
(-.f64 (.f64 z y) (.f64 x z))
(*.f64 z (-.f64 y x))
(-.f64 (.f64 y z) (.f64 z x))
(-.f64 (.f64 z y) (.f64 x z))
(*.f64 z (-.f64 y x))
(-.f64 (.f64 y z) (.f64 z x))
(-.f64 (.f64 z y) (.f64 x z))
(*.f64 z (-.f64 y x))
(*.f64 y z)
(*.f64 z y)
(-.f64 (.f64 y z) (.f64 z x))
(-.f64 (.f64 z y) (.f64 x z))
(*.f64 z (-.f64 y x))
(-.f64 (.f64 y z) (.f64 z x))
(-.f64 (.f64 z y) (.f64 x z))
(*.f64 z (-.f64 y x))
(-.f64 (.f64 y z) (.f64 z x))
(-.f64 (.f64 z y) (.f64 x z))
(*.f64 z (-.f64 y x))
(*.f64 y z)
(*.f64 z y)
(-.f64 (.f64 y z) (.f64 z x))
(-.f64 (.f64 z y) (.f64 x z))
(*.f64 z (-.f64 y x))
(-.f64 (.f64 y z) (.f64 z x))
(-.f64 (.f64 z y) (.f64 x z))
(*.f64 z (-.f64 y x))
(-.f64 (.f64 y z) (.f64 z x))
(-.f64 (.f64 z y) (.f64 x z))
(*.f64 z (-.f64 y x))
(.f64 -1 (.f64 z x))
(neg.f64 (*.f64 x z))
(*.f64 x (neg.f64 z))
(-.f64 (.f64 y z) (.f64 z x))
(-.f64 (.f64 z y) (.f64 x z))
(*.f64 z (-.f64 y x))
(-.f64 (.f64 y z) (.f64 z x))
(-.f64 (.f64 z y) (.f64 x z))
(*.f64 z (-.f64 y x))
(-.f64 (.f64 y z) (.f64 z x))
(-.f64 (.f64 z y) (.f64 x z))
(*.f64 z (-.f64 y x))
(.f64 -1 (.f64 z x))
(neg.f64 (*.f64 x z))
(*.f64 x (neg.f64 z))
(-.f64 (.f64 y z) (.f64 z x))
(-.f64 (.f64 z y) (.f64 x z))
(*.f64 z (-.f64 y x))
(-.f64 (.f64 y z) (.f64 z x))
(-.f64 (.f64 z y) (.f64 x z))
(*.f64 z (-.f64 y x))
(-.f64 (.f64 y z) (.f64 z x))
(-.f64 (.f64 z y) (.f64 x z))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(-.f64 (.f64 z y) (.f64 x z))
(*.f64 z (-.f64 y x))
(-.f64 (.f64 z y) (.f64 x z))
(*.f64 z (-.f64 y x))
(-.f64 (.f64 z y) (.f64 x z))
(*.f64 z (-.f64 y x))
(-.f64 (.f64 z y) (.f64 x z))
(*.f64 z (-.f64 y x))
(-.f64 (.f64 z y) (.f64 x z))
(*.f64 z (-.f64 y x))
(-.f64 (.f64 z y) (.f64 x z))
(*.f64 z (-.f64 y x))
(-.f64 (.f64 z y) (.f64 x z))
(*.f64 z (-.f64 y x))
(-.f64 (.f64 z y) (.f64 x z))
(*.f64 z (-.f64 y x))
(-.f64 (.f64 z y) (.f64 x z))
(*.f64 z (-.f64 y x))
(-.f64 (.f64 z y) (.f64 x z))
(*.f64 z (-.f64 y x))
(-.f64 (.f64 z y) (.f64 x z))
(*.f64 z (-.f64 y x))
(-.f64 (.f64 z y) (.f64 x z))

prune45.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	61	2	63
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	62	3	65

Error

0.0b

Counts

65 → 3

Alt Table

Status	Error	Program
▶	0.2b	(fma.f64 (*.f64 z -6) (-.f64 x y) x)
✓	0.2b	(fma.f64 6 (*.f64 (-.f64 y x) z) x)
	30.3b	(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)

Compiler

Compiled 791 to 374 computations (52.7% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (*.f64 z -6) (-.f64 x y) x)

series5.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(fma.f64 (*.f64 z -6) (-.f64 x y) x)
1.0ms	z	@	0	(fma.f64 (*.f64 z -6) (-.f64 x y) x)
1.0ms	x	@	0	(fma.f64 (*.f64 z -6) (-.f64 x y) x)
1.0ms	z	@	-inf	(fma.f64 (*.f64 z -6) (-.f64 x y) x)
0.0ms	z	@	inf	(fma.f64 (*.f64 z -6) (-.f64 x y) x)

rewrite46.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

846×	`log1p-expm1-u_binary64`
846×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`
87×	`*-un-lft-identity_binary64`
87×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	171	11
2	2223	11

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(fma.f64 (*.f64 z -6) (-.f64 x y) x)

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

Outputs

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

simplify51.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

739×	`fma-def_binary64`
517×	`fma-neg_binary64`
106×	`cancel-sign-sub-inv_binary64`
96×	`associate-l_binary64`
95×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	531
1	82	423
2	205	417
3	480	363
4	967	363
5	1690	363
6	2237	363
7	2474	363
8	2478	363
9	2478	363

Stop Event

1×

saturated

Counts

59 → 34

Calls

Call 1

Inputs
x
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(.f64 -1 (.f64 z (-.f64 (.f64 6 x) (.f64 6 y))))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(.f64 6 (.f64 y z))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(.f64 (-.f64 1 (.f64 6 z)) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(.f64 -1 (.f64 (-.f64 (*.f64 6 z) 1) x))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 x (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(.f64 6 (.f64 y z))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(.f64 6 (.f64 y z))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))

Outputs
x
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 y z) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 (-.f64 y x) z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(fma.f64 (*.f64 6 z) (-.f64 y x) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 y z) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 (-.f64 y x) z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(fma.f64 (*.f64 6 z) (-.f64 y x) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 y z) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 (-.f64 y x) z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(fma.f64 (*.f64 6 z) (-.f64 y x) x)
(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 6 (.f64 (-.f64 y x) z))
(.f64 6 (.f64 z (-.f64 y x)))
(.f64 (.f64 6 z) (-.f64 y x))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 y z) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 (-.f64 y x) z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(fma.f64 (*.f64 6 z) (-.f64 y x) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 y z) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 (-.f64 y x) z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(fma.f64 (*.f64 6 z) (-.f64 y x) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 y z) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 (-.f64 y x) z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(fma.f64 (*.f64 6 z) (-.f64 y x) x)
(.f64 -1 (.f64 z (-.f64 (.f64 6 x) (.f64 6 y))))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 6 (.f64 (-.f64 y x) z))
(.f64 6 (.f64 z (-.f64 y x)))
(.f64 (.f64 6 z) (-.f64 y x))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 y z) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 (-.f64 y x) z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(fma.f64 (*.f64 6 z) (-.f64 y x) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 y z) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 (-.f64 y x) z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(fma.f64 (*.f64 6 z) (-.f64 y x) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 y z) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 (-.f64 y x) z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(fma.f64 (*.f64 6 z) (-.f64 y x) x)
(.f64 6 (.f64 y z))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 y z) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 (-.f64 y x) z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(fma.f64 (*.f64 6 z) (-.f64 y x) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 y z) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 (-.f64 y x) z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(fma.f64 (*.f64 6 z) (-.f64 y x) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 y z) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 (-.f64 y x) z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(fma.f64 (*.f64 6 z) (-.f64 y x) x)
(.f64 (-.f64 1 (.f64 6 z)) x)
(.f64 x (+.f64 1 (.f64 -6 z)))
(neg.f64 (*.f64 x (fma.f64 6 z -1)))
(*.f64 x (fma.f64 z -6 1))
(fma.f64 (*.f64 x z) -6 x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 y z) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 (-.f64 y x) z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(fma.f64 (*.f64 6 z) (-.f64 y x) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 y z) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 (-.f64 y x) z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(fma.f64 (*.f64 6 z) (-.f64 y x) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 y z) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 (-.f64 y x) z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(fma.f64 (*.f64 6 z) (-.f64 y x) x)
(.f64 -1 (.f64 (-.f64 (*.f64 6 z) 1) x))
(.f64 x (+.f64 1 (.f64 -6 z)))
(neg.f64 (*.f64 x (fma.f64 6 z -1)))
(*.f64 x (fma.f64 z -6 1))
(fma.f64 (*.f64 x z) -6 x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 y z) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 (-.f64 y x) z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(fma.f64 (*.f64 6 z) (-.f64 y x) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 y z) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 (-.f64 y x) z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(fma.f64 (*.f64 6 z) (-.f64 y x) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 y z) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 (-.f64 y x) z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(fma.f64 (*.f64 6 z) (-.f64 y x) x)
(-.f64 x (.f64 6 (.f64 z x)))
(.f64 x (+.f64 1 (.f64 -6 z)))
(neg.f64 (*.f64 x (fma.f64 6 z -1)))
(*.f64 x (fma.f64 z -6 1))
(fma.f64 (*.f64 x z) -6 x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 y z) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 (-.f64 y x) z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(fma.f64 (*.f64 6 z) (-.f64 y x) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 y z) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 (-.f64 y x) z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(fma.f64 (*.f64 6 z) (-.f64 y x) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 y z) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 (-.f64 y x) z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(fma.f64 (*.f64 6 z) (-.f64 y x) x)
(.f64 6 (.f64 y z))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 y z) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 (-.f64 y x) z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(fma.f64 (*.f64 6 z) (-.f64 y x) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 y z) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 (-.f64 y x) z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(fma.f64 (*.f64 6 z) (-.f64 y x) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 y z) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 (-.f64 y x) z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(fma.f64 (*.f64 6 z) (-.f64 y x) x)
(.f64 6 (.f64 y z))
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 y z) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 (-.f64 y x) z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(fma.f64 (*.f64 6 z) (-.f64 y x) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 y z) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 (-.f64 y x) z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(fma.f64 (*.f64 6 z) (-.f64 y x) x)
(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
(+.f64 (fma.f64 6 (.f64 y z) x) (.f64 -6 (*.f64 x z)))
(+.f64 x (.f64 6 (.f64 (-.f64 y x) z)))
(+.f64 x (.f64 6 (.f64 z (-.f64 y x))))
(fma.f64 (*.f64 6 z) (-.f64 y x) x)

prune20.0ms (0.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	34	3	37

Error

0.0b

Counts

37 → 3

Alt Table

Status	Error	Program
✓	0.2b	(fma.f64 (*.f64 z -6) (-.f64 x y) x)
✓	0.2b	(fma.f64 6 (*.f64 (-.f64 y x) z) x)
▶	30.3b	(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)

Compiler

Compiled 456 to 253 computations (44.5% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 6 y) (.f64 6 x))
✓	0.5b	(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)

series7.0ms (0.3%)

Counts

2 → 30

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)
1.0ms	y	@	0	(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)
1.0ms	z	@	inf	(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)
1.0ms	y	@	-inf	(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)
1.0ms	y	@	inf	(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)

rewrite65.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

513×	`log-prod_binary64`
466×	`fma-def_binary64`
198×	`fma-neg_binary64`
182×	`expm1-udef_binary64`
182×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	204	17
2	2726	17

Stop Event

1×	node limit

Counts

2 → 231

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)
(-.f64 (.f64 6 y) (.f64 6 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 6 (*.f64 (-.f64 y x) z)) (*.f64 (fma.f64 x -6 (*.f64 6 x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 6 (*.f64 (-.f64 y x) z)) (*.f64 z (fma.f64 x -6 (*.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 6 (*.f64 (-.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 6 y) z) (*.f64 (*.f64 x -6) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (*.f64 6 y)) (*.f64 z (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (*.f64 6 (-.f64 y x)))) (cbrt.f64 (pow.f64 (exp.f64 z) (*.f64 6 (-.f64 y x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (*.f64 6 (-.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (*.f64 6 (-.f64 y x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (*.f64 6 (-.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 6 y) (*.f64 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 6 y) (*.f64 (*.f64 x -6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 6 y) (fma.f64 x -6 (fma.f64 x -6 (*.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 6 (-.f64 y x)) (fma.f64 x -6 (*.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 6 (-.f64 y x)) (fma.f64 (*.f64 x -6) 1 (*.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 6 (-.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 6 x))) (cbrt.f64 (*.f64 (*.f64 x x) 36)) (*.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 6 (-.f64 y x)) (*.f64 (fma.f64 x -6 (*.f64 6 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 6 (-.f64 y x)) (+.f64 (fma.f64 x -6 (*.f64 6 x)) (fma.f64 x -6 (*.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x -6 (*.f64 6 x)) (*.f64 6 (-.f64 y x)))))) (#(struct:change #<rule 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(fma.f64 x -6 (*.f64 6 x))) (cbrt.f64 (fma.f64 x -6 (*.f64 6 x)))) (cbrt.f64 (fma.f64 x -6 (*.f64 6 x))) (*.f64 6 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 x -6)) (cbrt.f64 (*.f64 x -6))) (cbrt.f64 (*.f64 x -6)) (*.f64 6 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x -6 (*.f64 6 x))) (sqrt.f64 (fma.f64 x -6 (*.f64 6 x))) (*.f64 6 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -6)) (sqrt.f64 (*.f64 x -6)) (*.f64 6 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 6 x))) (sqrt.f64 (*.f64 6 x)) (*.f64 6 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 6 x) (*.f64 6 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 6 y)) (sqrt.f64 (*.f64 6 x))) (-.f64 (sqrt.f64 (*.f64 6 y)) (sqrt.f64 (*.f64 6 x))) (fma.f64 x -6 (*.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 6 y)) (sqrt.f64 (*.f64 6 x))) (-.f64 (sqrt.f64 (*.f64 6 y)) (sqrt.f64 (*.f64 6 x))) (fma.f64 (*.f64 x -6) 1 (*.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 6 y)) (sqrt.f64 (*.f64 6 x))) (-.f64 (sqrt.f64 (*.f64 6 y)) (sqrt.f64 (*.f64 6 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 6 x))) (cbrt.f64 (*.f64 (*.f64 x x) 36)) (*.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 6 y)) (sqrt.f64 (*.f64 6 x))) (-.f64 (sqrt.f64 (*.f64 6 y)) (sqrt.f64 (*.f64 6 x))) (*.f64 (fma.f64 x -6 (*.f64 6 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 6 y)) (sqrt.f64 (*.f64 6 x))) (-.f64 (sqrt.f64 (*.f64 6 y)) (sqrt.f64 (*.f64 6 x))) (+.f64 (fma.f64 x -6 (*.f64 6 x)) (fma.f64 x -6 (*.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 x x) 36))) (cbrt.f64 (*.f64 6 x)) (*.f64 6 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -6 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 6 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -6 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 6 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 6 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (*.f64 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 6 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (*.f64 (*.f64 x -6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 6 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (fma.f64 x -6 (fma.f64 x -6 (*.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 6 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (neg.f64 (-.f64 (*.f64 6 x) (fma.f64 x -6 (*.f64 6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 6 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 6 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (*.f64 x -6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 6 (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 x -6 (fma.f64 x -6 (*.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 6 (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (-.f64 (*.f64 6 x) (fma.f64 x -6 (*.f64 6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 6 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 6 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 6 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 6 (-.f64 y x))) 1))))))

simplify46.0ms (2%)

Algorithm

1×	egg-herbie

Rules

869×	`fma-def_binary64`
385×	`fma-neg_binary64`
131×	`cancel-sign-sub-inv_binary64`
65×	`distribute-rgt-neg-in_binary64`
56×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	300
1	33	246
2	79	246
3	155	246
4	257	246
5	424	246
6	696	246
7	1148	246
8	1633	246
9	2203	246
10	2235	246
11	2235	246

Stop Event

1×

saturated

Counts

261 → 239

Calls

Call 1

Inputs
(.f64 -6 (.f64 z x))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (.f64 y z))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (.f64 y z))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (.f64 y z))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 -6 (.f64 z x))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 -6 (.f64 z x))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(*.f64 -6 x)
(*.f64 6 y)
(*.f64 6 y)
(*.f64 6 y)
(*.f64 -6 x)
(*.f64 -6 x)

Outputs
(.f64 -6 (.f64 z x))
(.f64 (.f64 -6 z) x)
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 6 (.f64 z (-.f64 y x)))
(.f64 z (.f64 (-.f64 y x) 6))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 6 (.f64 z (-.f64 y x)))
(.f64 z (.f64 (-.f64 y x) 6))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 6 (.f64 z (-.f64 y x)))
(.f64 z (.f64 (-.f64 y x) 6))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(.f64 6 (.f64 y z))
(.f64 6 (.f64 z y))
(.f64 z (.f64 6 y))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 6 (.f64 z (-.f64 y x)))
(.f64 z (.f64 (-.f64 y x) 6))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 6 (.f64 z (-.f64 y x)))
(.f64 z (.f64 (-.f64 y x) 6))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 6 (.f64 z (-.f64 y x)))
(.f64 z (.f64 (-.f64 y x) 6))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(.f64 6 (.f64 y z))
(.f64 6 (.f64 z y))
(.f64 z (.f64 6 y))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 6 (.f64 z (-.f64 y x)))
(.f64 z (.f64 (-.f64 y x) 6))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 6 (.f64 z (-.f64 y x)))
(.f64 z (.f64 (-.f64 y x) 6))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 6 (.f64 z (-.f64 y x)))
(.f64 z (.f64 (-.f64 y x) 6))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(.f64 6 (.f64 y z))
(.f64 6 (.f64 z y))
(.f64 z (.f64 6 y))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 6 (.f64 z (-.f64 y x)))
(.f64 z (.f64 (-.f64 y x) 6))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 6 (.f64 z (-.f64 y x)))
(.f64 z (.f64 (-.f64 y x) 6))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 6 (.f64 z (-.f64 y x)))
(.f64 z (.f64 (-.f64 y x) 6))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(.f64 -6 (.f64 z x))
(.f64 (.f64 -6 z) x)
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 6 (.f64 z (-.f64 y x)))
(.f64 z (.f64 (-.f64 y x) 6))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 6 (.f64 z (-.f64 y x)))
(.f64 z (.f64 (-.f64 y x) 6))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 6 (.f64 z (-.f64 y x)))
(.f64 z (.f64 (-.f64 y x) 6))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(.f64 -6 (.f64 z x))
(.f64 (.f64 -6 z) x)
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 6 (.f64 z (-.f64 y x)))
(.f64 z (.f64 (-.f64 y x) 6))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 6 (.f64 z (-.f64 y x)))
(.f64 z (.f64 (-.f64 y x) 6))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 6 (.f64 z (-.f64 y x)))
(.f64 z (.f64 (-.f64 y x) 6))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(*.f64 -6 x)
(*.f64 6 y)
(*.f64 6 y)
(*.f64 6 y)
(*.f64 -6 x)
(*.f64 -6 x)

prune128.0ms (5.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	236	3	239
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	237	5	242

Error

Counts

242 → 5

Alt Table

Status	Error	Program
▶	30.3b	(.f64 (fma.f64 6 y (.f64 x -6)) z)
✓	0.2b	(fma.f64 (*.f64 z -6) (-.f64 x y) x)
✓	0.2b	(fma.f64 6 (*.f64 (-.f64 y x) z) x)
	47.5b	(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (.f64 6 (-.f64 y x))) (.f64 (fma.f64 x -6 (.f64 6 x)) z))
	30.9b	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (.f64 6 (-.f64 y x))) (.f64 (fma.f64 x -6 (.f64 6 x)) z))

Compiler

Compiled 4455 to 2755 computations (38.2% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 6 y (*.f64 x -6))
✓	0.5b	(.f64 (fma.f64 6 y (.f64 x -6)) z)

series6.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(.f64 (fma.f64 6 y (.f64 x -6)) z)
1.0ms	y	@	0	(.f64 (fma.f64 6 y (.f64 x -6)) z)
1.0ms	z	@	0	(.f64 (fma.f64 6 y (.f64 x -6)) z)
0.0ms	x	@	-inf	(.f64 (fma.f64 6 y (.f64 x -6)) z)
0.0ms	x	@	inf	(.f64 (fma.f64 6 y (.f64 x -6)) z)

rewrite46.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

800×	`pow1_binary64`
736×	`log1p-expm1-u_binary64`
736×	`expm1-log1p-u_binary64`
89×	`add-sqr-sqrt_binary64`
85×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	179	19
2	1992	19

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

Inputs
(.f64 (fma.f64 6 y (.f64 x -6)) z)
(fma.f64 6 y (*.f64 x -6))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -6) (*.f64 6 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 6 y) (*.f64 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 6 y) 1) (*.f64 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 6 y (*.f64 x -6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 6 y (*.f64 x -6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 6 y (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 6 y (*.f64 x -6))) (cbrt.f64 (pow.f64 (fma.f64 6 y (*.f64 x -6)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 6 y (*.f64 x -6)) 2)) (cbrt.f64 (fma.f64 6 y (*.f64 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 6 y (*.f64 x -6))) (sqrt.f64 (fma.f64 6 y (*.f64 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 6 y) 3) (pow.f64 (*.f64 x -6) 3)) (+.f64 (*.f64 (*.f64 6 y) (*.f64 6 y)) (-.f64 (*.f64 36 (*.f64 x x)) (*.f64 (*.f64 6 y) (*.f64 x -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 6 y) (*.f64 6 y)) (*.f64 36 (*.f64 x x))) (-.f64 (*.f64 6 y) (*.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 6 y (*.f64 x -6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 6 y (*.f64 x -6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 6 y (*.f64 x -6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 6 y (*.f64 x -6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 6 y (*.f64 x -6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 6 y (*.f64 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 6 y (*.f64 x -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 6 y (*.f64 x -6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 6 y (*.f64 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 6 y (*.f64 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 6 y (*.f64 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 6 y (*.f64 x -6))) 1))))))

simplify52.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

866×	`fma-def_binary64`
380×	`fma-neg_binary64`
130×	`cancel-sign-sub-inv_binary64`
62×	`distribute-rgt-neg-in_binary64`
60×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	582
1	44	492
2	104	492
3	168	492
4	265	492
5	450	492
6	778	492
7	1206	492
8	1622	492
9	2201	492
10	2229	492
11	2229	492

Stop Event

1×

saturated

Counts

100 → 51

Calls

Call 1

Inputs
(.f64 -6 (.f64 z x))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (.f64 y z))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (.f64 y z))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (.f64 y z))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 -6 (.f64 z x))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 -6 (.f64 z x))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)
(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)
(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)
(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)
(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)
(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)
(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)
(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)
(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)
(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)
(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)
(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)
(*.f64 -6 x)
(-.f64 (.f64 6 y) (.f64 6 x))
(-.f64 (.f64 6 y) (.f64 6 x))
(-.f64 (.f64 6 y) (.f64 6 x))
(*.f64 6 y)
(-.f64 (.f64 6 y) (.f64 6 x))
(-.f64 (.f64 6 y) (.f64 6 x))
(-.f64 (.f64 6 y) (.f64 6 x))
(*.f64 6 y)
(-.f64 (.f64 6 y) (.f64 6 x))
(-.f64 (.f64 6 y) (.f64 6 x))
(-.f64 (.f64 6 y) (.f64 6 x))
(*.f64 6 y)
(-.f64 (.f64 6 y) (.f64 6 x))
(-.f64 (.f64 6 y) (.f64 6 x))
(-.f64 (.f64 6 y) (.f64 6 x))
(*.f64 -6 x)
(-.f64 (.f64 6 y) (.f64 6 x))
(-.f64 (.f64 6 y) (.f64 6 x))
(-.f64 (.f64 6 y) (.f64 6 x))
(*.f64 -6 x)
(-.f64 (.f64 6 y) (.f64 6 x))
(-.f64 (.f64 6 y) (.f64 6 x))
(-.f64 (.f64 6 y) (.f64 6 x))

Outputs
(.f64 -6 (.f64 z x))
(.f64 (.f64 -6 z) x)
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(.f64 6 (.f64 y z))
(.f64 6 (.f64 z y))
(.f64 z (.f64 6 y))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(.f64 6 (.f64 y z))
(.f64 6 (.f64 z y))
(.f64 z (.f64 6 y))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(.f64 6 (.f64 y z))
(.f64 6 (.f64 z y))
(.f64 z (.f64 6 y))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(.f64 -6 (.f64 z x))
(.f64 (.f64 -6 z) x)
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(.f64 -6 (.f64 z x))
(.f64 (.f64 -6 z) x)
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(-.f64 (.f64 6 (.f64 y z)) (.f64 6 (.f64 z x)))
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)
(.f64 6 (-.f64 (.f64 z y) (*.f64 z x)))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 x y)))
(*.f64 -6 x)
(-.f64 (.f64 6 y) (.f64 6 x))
(*.f64 6 (-.f64 y x))
(*.f64 -6 (-.f64 x y))
(-.f64 (.f64 6 y) (.f64 6 x))
(*.f64 6 (-.f64 y x))
(*.f64 -6 (-.f64 x y))
(-.f64 (.f64 6 y) (.f64 6 x))
(*.f64 6 (-.f64 y x))
(*.f64 -6 (-.f64 x y))
(*.f64 6 y)
(-.f64 (.f64 6 y) (.f64 6 x))
(*.f64 6 (-.f64 y x))
(*.f64 -6 (-.f64 x y))
(-.f64 (.f64 6 y) (.f64 6 x))
(*.f64 6 (-.f64 y x))
(*.f64 -6 (-.f64 x y))
(-.f64 (.f64 6 y) (.f64 6 x))
(*.f64 6 (-.f64 y x))
(*.f64 -6 (-.f64 x y))
(*.f64 6 y)
(-.f64 (.f64 6 y) (.f64 6 x))
(*.f64 6 (-.f64 y x))
(*.f64 -6 (-.f64 x y))
(-.f64 (.f64 6 y) (.f64 6 x))
(*.f64 6 (-.f64 y x))
(*.f64 -6 (-.f64 x y))
(-.f64 (.f64 6 y) (.f64 6 x))
(*.f64 6 (-.f64 y x))
(*.f64 -6 (-.f64 x y))
(*.f64 6 y)
(-.f64 (.f64 6 y) (.f64 6 x))
(*.f64 6 (-.f64 y x))
(*.f64 -6 (-.f64 x y))
(-.f64 (.f64 6 y) (.f64 6 x))
(*.f64 6 (-.f64 y x))
(*.f64 -6 (-.f64 x y))
(-.f64 (.f64 6 y) (.f64 6 x))
(*.f64 6 (-.f64 y x))
(*.f64 -6 (-.f64 x y))
(*.f64 -6 x)
(-.f64 (.f64 6 y) (.f64 6 x))
(*.f64 6 (-.f64 y x))
(*.f64 -6 (-.f64 x y))
(-.f64 (.f64 6 y) (.f64 6 x))
(*.f64 6 (-.f64 y x))
(*.f64 -6 (-.f64 x y))
(-.f64 (.f64 6 y) (.f64 6 x))
(*.f64 6 (-.f64 y x))
(*.f64 -6 (-.f64 x y))
(*.f64 -6 x)
(-.f64 (.f64 6 y) (.f64 6 x))
(*.f64 6 (-.f64 y x))
(*.f64 -6 (-.f64 x y))
(-.f64 (.f64 6 y) (.f64 6 x))
(*.f64 6 (-.f64 y x))
(*.f64 -6 (-.f64 x y))
(-.f64 (.f64 6 y) (.f64 6 x))
(*.f64 6 (-.f64 y x))
(*.f64 -6 (-.f64 x y))

prune27.0ms (1.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	51	5	56

Error

Counts

56 → 5

Alt Table

Status	Error	Program
✓	30.3b	(.f64 (fma.f64 6 y (.f64 x -6)) z)
✓	0.2b	(fma.f64 (*.f64 z -6) (-.f64 x y) x)
✓	0.2b	(fma.f64 6 (*.f64 (-.f64 y x) z) x)
	47.5b	(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (.f64 6 (-.f64 y x))) (.f64 (fma.f64 x -6 (.f64 6 x)) z))
	30.9b	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (.f64 6 (-.f64 y x))) (.f64 (fma.f64 x -6 (.f64 6 x)) z))

Compiler

Compiled 649 to 452 computations (30.4% saved)

regimes113.0ms (4.8%)

Accuracy

Total 0.1b remaining (90.2%)

Threshold costs 0.1b (90.2%)

Counts

36 → 1

Compiler

Compiled 362 to 210 computations (42% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	11	11
2	16	11
3	18	11
4	19	11

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (*.f64 z -6) (-.f64 x y) x)

Outputs
(fma.f64 (*.f64 z -6) (-.f64 x y) x)

end73.0ms (3.1%)

Stop Event

1×

fuel

Compiler

Compiled 101 to 66 computations (34.7% saved)

Details

analyze462.0ms (19.5%)

sample934.0ms (39.4%)

preprocess64.0ms (2.7%)

simplify39.0ms (1.7%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

series14.0ms (0.6%)

rewrite43.0ms (1.8%)

simplify61.0ms (2.6%)

prune45.0ms (1.9%)

localize5.0ms (0.2%)

series5.0ms (0.2%)

rewrite46.0ms (1.9%)

simplify51.0ms (2.1%)

prune20.0ms (0.9%)

localize5.0ms (0.2%)

series7.0ms (0.3%)

rewrite65.0ms (2.7%)

simplify46.0ms (2%)

prune128.0ms (5.4%)

localize5.0ms (0.2%)

series6.0ms (0.2%)

rewrite46.0ms (1.9%)

simplify52.0ms (2.2%)

prune27.0ms (1.2%)

regimes113.0ms (4.8%)

simplify2.0ms (0.1%)

end73.0ms (3.1%)

Profiling