Details

analyze505.0ms (18.8%)

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
35.9%	57.7%	6.4%	10
42.9%	50.7%	6.4%	11
48.8%	42.5%	8.7%	12
56%	33%	11.1%	13
60.8%	28.2%	11.1%	14

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample859.0ms (31.9%)

Results

793.0ms	8256×	body	128	valid
50.0ms	566×	body	128	invalid

Compiler

Compiled 22 to 16 computations (27.3% saved)

preprocess32.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

754×	`fma-def_binary64`
220×	`fma-neg_binary64`
86×	`distribute-rgt-in_binary64`
81×	`unsub-neg_binary64`
60×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	40
1	44	40
2	88	40
3	179	40
4	368	40
5	545	40
6	724	40
7	964	40
8	1709	40
9	1751	40
10	1828	40
11	1828	40
0	3	3
1	3	3

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2
1

Call 2

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

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

Symmetry

(sort y z)

Compiler

Compiled 10 to 7 computations (30% saved)

simplify21.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

419×	`fma-def_binary64`
121×	`fma-neg_binary64`
46×	`distribute-rgt-in_binary64`
44×	`associate-r_binary64`
43×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	17	10
2	34	10
3	80	10
4	227	10
5	306	10
6	418	10
7	551	10
8	883	10
9	1011	10
10	1091	10
11	1111	10

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.9b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.9b	(.f64 x (-.f64 1 (.f64 y z)))

Compiler

Compiled 30 to 21 computations (30% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (*.f64 y z))
✓	0.8b	(.f64 x (-.f64 1 (.f64 y z)))

series6.0ms (0.2%)

Counts

2 → 42

Calls

15 calls:

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

rewrite37.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

824×	`pow1_binary64`
760×	`log1p-expm1-u_binary64`
760×	`expm1-log1p-u_binary64`
84×	`add-sqr-sqrt_binary64`
82×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	164	17
2	2055	17

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

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

Outputs

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

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

simplify32.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

428×	`fma-def_binary64`
125×	`fma-neg_binary64`
48×	`associate-l_binary64`
48×	`cancel-sign-sub-inv_binary64`
43×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	364
1	35	364
2	80	364
3	162	364
4	261	364
5	410	364
6	696	364
7	830	364
8	1045	364
9	1135	364

Stop Event

1×

saturated

Counts

93 → 60

Calls

Call 1

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

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

prune45.0ms (1.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	54	6	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	7	61

Error

0.0b

Counts

61 → 7

Alt Table

Status	Error	Program
	13.4b	(.f64 x (pow.f64 (sqrt.f64 (-.f64 1 (.f64 y z))) 2))
	9.4b	(.f64 x (/.f64 1 (/.f64 (+.f64 1 (.f64 y z)) (-.f64 1 (pow.f64 (*.f64 y z) 2)))))
	38.7b	(cbrt.f64 (pow.f64 (.f64 x (-.f64 1 (.f64 y z))) 3))
▶	2.1b	(pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 3)
	14.9b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 y z) 3)) x) (+.f64 1 (+.f64 (.f64 y z) (pow.f64 (.f64 y z) 2))))
✓	0.9b	(.f64 x (-.f64 1 (.f64 y z)))
	5.3b	(fma.f64 y (*.f64 z (neg.f64 x)) x)

Compiler

Compiled 903 to 513 computations (43.2% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 1 (*.f64 y z))
✓	0.6b	(cbrt.f64 (.f64 x (-.f64 1 (.f64 y z))))
✓	0.7b	(pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 3)
	0.8b	(.f64 x (-.f64 1 (.f64 y z)))

series71.0ms (2.6%)

Counts

2 → 16

Calls

18 calls:

Time	Variable		Point	Expression
23.0ms	y	@	0	(pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 3)
21.0ms	z	@	0	(pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 3)
9.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 3)
7.0ms	x	@	-inf	(cbrt.f64 (.f64 x (-.f64 1 (.f64 y z))))
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 3)

rewrite48.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

482×	`log-prod_binary64`
423×	`prod-diff_binary64`
175×	`expm1-udef_binary64`
174×	`log1p-udef_binary64`
146×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	232	22
2	2554	22

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 3)
(cbrt.f64 (.f64 x (-.f64 1 (.f64 y z))))

Outputs
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(#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (-.f64 1 (.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 2) (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (-.f64 1 (.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 2)) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z))))) (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) 2) (.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) (sqrt.f64 (.f64 x (-.f64 1 (.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 1 (.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x (-.f64 1 (.f64 y z))) 1/6) (.f64 (pow.f64 (.f64 x (-.f64 1 (.f64 y z))) 1/6) (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 1 (.f64 y z))) (.f64 (sqrt.f64 (-.f64 1 (.f64 y z))) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 2)) 3) (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 x (-.f64 1 (.f64 y z))) 1/6) 3) (pow.f64 (pow.f64 (.f64 x (-.f64 1 (.f64 y z))) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) 2)) (cbrt.f64 (-.f64 1 (.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (sqrt.f64 (-.f64 1 (.f64 y z)))) (sqrt.f64 (-.f64 1 (.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (.f64 y z)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (.f64 y z)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 2) 1) (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 2) (cbrt.f64 x)) (cbrt.f64 (-.f64 1 (.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 2))) (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 2) (pow.f64 (.f64 x (-.f64 1 (.f64 y z))) 1/6)) (pow.f64 (.f64 x (-.f64 1 (.f64 y z))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 (.f64 y z) 3)) x) (fma.f64 (.f64 y z) (fma.f64 y z 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 (.f64 y z) 2)) x) (fma.f64 y z 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 y z) 3))) (fma.f64 (.f64 y z) (fma.f64 y z 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 y z) 2))) (fma.f64 y z 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (-.f64 1 (.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1 (.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (-.f64 1 (.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (-.f64 1 (.f64 y z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (.f64 y z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (-.f64 1 (.f64 y z)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (-.f64 1 (.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (-.f64 1 (.f64 y z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (-.f64 1 (.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (.f64 (.f64 y (neg.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (.f64 x (.f64 y (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (.f64 (.f64 y (neg.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (.f64 x (.f64 y (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (.f64 (.f64 y (neg.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (.f64 x (.f64 y (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 (.f64 y (neg.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 x (.f64 y (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 y (neg.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 x (.f64 y (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (-.f64 1 (*.f64 y z)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))))) (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 (.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z))))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z))))) (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 2)) (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 1 (.f64 y z))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x (-.f64 1 (.f64 y z))) 1/6) (pow.f64 (.f64 x (-.f64 1 (.f64 y z))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 1/3) (pow.f64 (sqrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (-.f64 1 (.f64 y z))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (-.f64 1 (.f64 y z))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (-.f64 1 (.f64 y z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z))))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 y (neg.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (*.f64 y (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (-.f64 1 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 (*.f64 y z)))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 (*.f64 y z)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 (*.f64 y z))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1 (*.f64 y z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (-.f64 1 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 y z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (-.f64 1 (*.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z)))) 2) (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z)))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z))))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) 2) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (-.f64 1 (*.f64 y z)))) (sqrt.f64 (*.f64 x (-.f64 1 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (-.f64 1 (*.f64 y z))) 1/6) (*.f64 (pow.f64 (*.f64 x (-.f64 1 (*.f64 y z))) 1/6) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (*.f64 y z))) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 y z))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z)))) 2)) 3) (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (-.f64 1 (*.f64 y z))) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x (-.f64 1 (*.f64 y z))) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) 2)) (cbrt.f64 (-.f64 1 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 y z)))) (sqrt.f64 (-.f64 1 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 y z)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 y z)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z)))) 2) 1) (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z)))) 2) (cbrt.f64 x)) (cbrt.f64 (-.f64 1 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z)))) 2))) (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z)))) 2) (pow.f64 (*.f64 x (-.f64 1 (*.f64 y z))) 1/6)) (pow.f64 (*.f64 x (-.f64 1 (*.f64 y z))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) x) (fma.f64 (*.f64 y z) (fma.f64 y z 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 y z) 2)) x) (fma.f64 y z 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 (*.f64 y z) 3))) (fma.f64 (*.f64 y z) (fma.f64 y z 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 (*.f64 y z) 2))) (fma.f64 y z 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 (*.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1 (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 (*.f64 y z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (*.f64 y z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 y z)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (-.f64 1 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1 (*.f64 y z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (*.f64 y (neg.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 x (*.f64 y (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (*.f64 y (neg.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x (*.f64 y (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 y (neg.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (*.f64 y (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (*.f64 y (neg.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (*.f64 y (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 y (neg.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (*.f64 y (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 (*.f64 y z)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z)))))) (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z)))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z))))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z))))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z)))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (-.f64 1 (*.f64 y z))) 1/6) (pow.f64 (*.f64 x (-.f64 1 (*.f64 y z))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 (*.f64 y z)))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 (*.f64 y z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 1 (*.f64 y z))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 1 (*.f64 y z))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1 (*.f64 y z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z))))))))))

simplify34.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

612×	`unswap-sqr_binary64`
566×	`distribute-rgt-neg-in_binary64`
562×	`distribute-lft-neg-in_binary64`
405×	`fma-neg_binary64`
373×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	504
1	143	504
2	454	500
3	2390	500

Stop Event

1×	node limit

Counts

97 → 92

Calls

Call 1

Inputs
x
(-.f64 x (.f64 (.f64 y z) (pow.f64 (pow.f64 x 13) 1/9)))
(-.f64 x (.f64 (.f64 y z) (pow.f64 (pow.f64 x 13) 1/9)))
(-.f64 x (.f64 (.f64 y z) (pow.f64 (pow.f64 x 13) 1/9)))
x
(-.f64 x (.f64 (.f64 y z) (pow.f64 (pow.f64 x 13) 1/9)))
(-.f64 x (.f64 (.f64 y z) (pow.f64 (pow.f64 x 13) 1/9)))
(-.f64 x (.f64 (.f64 y z) (pow.f64 (pow.f64 x 13) 1/9)))
(pow.f64 x 1/3)
(-.f64 (pow.f64 x 1/3) (.f64 1/3 (.f64 (*.f64 y z) (pow.f64 (pow.f64 x 7) 1/9))))
(-.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/9 (.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (pow.f64 (pow.f64 x 11) 1/9))) (.f64 1/3 (.f64 (.f64 y z) (pow.f64 (pow.f64 x 7) 1/9)))))
(-.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/9 (.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (pow.f64 (pow.f64 x 11) 1/9))) (+.f64 (.f64 1/3 (.f64 (.f64 y z) (pow.f64 (pow.f64 x 7) 1/9))) (.f64 5/81 (.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 (pow.f64 x 5) 1/3))))))
(pow.f64 x 1/3)
(-.f64 (pow.f64 x 1/3) (.f64 1/3 (.f64 (*.f64 y z) (pow.f64 (pow.f64 x 7) 1/9))))
(-.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/9 (.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (pow.f64 (pow.f64 x 11) 1/9))) (.f64 1/3 (.f64 (.f64 y z) (pow.f64 (pow.f64 x 7) 1/9)))))
(-.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/9 (.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (pow.f64 (pow.f64 x 11) 1/9))) (+.f64 (.f64 1/3 (.f64 (.f64 y z) (pow.f64 (pow.f64 x 7) 1/9))) (.f64 5/81 (.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 (pow.f64 x 5) 1/3))))))

Outputs
x
(-.f64 x (.f64 (.f64 y z) (pow.f64 (pow.f64 x 13) 1/9)))
(-.f64 x (.f64 (.f64 y z) (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18))))
(-.f64 x (.f64 (pow.f64 (pow.f64 x 13) 1/18) (.f64 (pow.f64 (pow.f64 x 13) 1/18) (*.f64 y z))))
(fma.f64 (.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (.f64 y (neg.f64 z)) x)
(fma.f64 (.f64 y z) (neg.f64 (.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18))) x)
(-.f64 x (.f64 (.f64 y z) (pow.f64 (pow.f64 x 13) 1/9)))
(-.f64 x (.f64 (.f64 y z) (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18))))
(-.f64 x (.f64 (pow.f64 (pow.f64 x 13) 1/18) (.f64 (pow.f64 (pow.f64 x 13) 1/18) (*.f64 y z))))
(fma.f64 (.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (.f64 y (neg.f64 z)) x)
(fma.f64 (.f64 y z) (neg.f64 (.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18))) x)
(-.f64 x (.f64 (.f64 y z) (pow.f64 (pow.f64 x 13) 1/9)))
(-.f64 x (.f64 (.f64 y z) (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18))))
(-.f64 x (.f64 (pow.f64 (pow.f64 x 13) 1/18) (.f64 (pow.f64 (pow.f64 x 13) 1/18) (*.f64 y z))))
(fma.f64 (.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (.f64 y (neg.f64 z)) x)
(fma.f64 (.f64 y z) (neg.f64 (.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18))) x)
x
(-.f64 x (.f64 (.f64 y z) (pow.f64 (pow.f64 x 13) 1/9)))
(-.f64 x (.f64 (.f64 y z) (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18))))
(-.f64 x (.f64 (pow.f64 (pow.f64 x 13) 1/18) (.f64 (pow.f64 (pow.f64 x 13) 1/18) (*.f64 y z))))
(fma.f64 (.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (.f64 y (neg.f64 z)) x)
(fma.f64 (.f64 y z) (neg.f64 (.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18))) x)
(-.f64 x (.f64 (.f64 y z) (pow.f64 (pow.f64 x 13) 1/9)))
(-.f64 x (.f64 (.f64 y z) (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18))))
(-.f64 x (.f64 (pow.f64 (pow.f64 x 13) 1/18) (.f64 (pow.f64 (pow.f64 x 13) 1/18) (*.f64 y z))))
(fma.f64 (.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (.f64 y (neg.f64 z)) x)
(fma.f64 (.f64 y z) (neg.f64 (.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18))) x)
(-.f64 x (.f64 (.f64 y z) (pow.f64 (pow.f64 x 13) 1/9)))
(-.f64 x (.f64 (.f64 y z) (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18))))
(-.f64 x (.f64 (pow.f64 (pow.f64 x 13) 1/18) (.f64 (pow.f64 (pow.f64 x 13) 1/18) (*.f64 y z))))
(fma.f64 (.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (.f64 y (neg.f64 z)) x)
(fma.f64 (.f64 y z) (neg.f64 (.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18))) x)
(pow.f64 x 1/3)
(cbrt.f64 x)
(-.f64 (pow.f64 x 1/3) (.f64 1/3 (.f64 (*.f64 y z) (pow.f64 (pow.f64 x 7) 1/9))))
(+.f64 (cbrt.f64 x) (.f64 -1/3 (.f64 y (.f64 z (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18))))))
(+.f64 (cbrt.f64 x) (.f64 (.f64 -1/3 (.f64 y z)) (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18))))
(fma.f64 (.f64 (.f64 y z) (*.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18))) -1/3 (cbrt.f64 x))
(fma.f64 (.f64 z (.f64 (pow.f64 (pow.f64 x 7) 1/18) (*.f64 (pow.f64 (pow.f64 x 7) 1/18) y))) -1/3 (cbrt.f64 x))
(-.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/9 (.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (pow.f64 (pow.f64 x 11) 1/9))) (.f64 1/3 (.f64 (.f64 y z) (pow.f64 (pow.f64 x 7) 1/9)))))
(-.f64 (cbrt.f64 x) (fma.f64 1/9 (.f64 (.f64 (.f64 y y) (.f64 z z)) (.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 (pow.f64 x 11) 1/18))) (.f64 1/3 (.f64 y (.f64 z (*.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)))))))
(-.f64 (cbrt.f64 x) (fma.f64 1/9 (.f64 y (.f64 y (.f64 z (.f64 z (.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 (pow.f64 x 11) 1/18)))))) (.f64 (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (.f64 (*.f64 y z) 1/3))))
(+.f64 (cbrt.f64 x) (fma.f64 (.f64 (.f64 y z) (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18))) -1/3 (.f64 (.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 (pow.f64 x 11) 1/18)) (.f64 (.f64 y (.f64 y (*.f64 z z))) -1/9))))
(-.f64 (cbrt.f64 x) (fma.f64 y (.f64 (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (.f64 z 1/3)) (.f64 y (.f64 (.f64 y (.f64 z z)) (.f64 1/9 (*.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 (pow.f64 x 11) 1/18)))))))
(-.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/9 (.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (pow.f64 (pow.f64 x 11) 1/9))) (+.f64 (.f64 1/3 (.f64 (.f64 y z) (pow.f64 (pow.f64 x 7) 1/9))) (.f64 5/81 (.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 (pow.f64 x 5) 1/3))))))
(-.f64 (cbrt.f64 x) (fma.f64 1/9 (.f64 (.f64 (.f64 y y) (.f64 z z)) (.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 (pow.f64 x 11) 1/18))) (fma.f64 1/3 (.f64 y (.f64 z (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)))) (.f64 5/81 (.f64 (pow.f64 y 3) (*.f64 (pow.f64 z 3) (cbrt.f64 (pow.f64 x 5))))))))
(-.f64 (cbrt.f64 x) (fma.f64 (.f64 (.f64 1/9 (.f64 y y)) (.f64 z z)) (.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 (pow.f64 x 11) 1/18)) (fma.f64 5/81 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) (cbrt.f64 (pow.f64 x 5)))) (.f64 (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (.f64 (*.f64 y z) 1/3)))))
(-.f64 (cbrt.f64 x) (fma.f64 y (.f64 (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (.f64 z 1/3)) (fma.f64 (.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 (pow.f64 x 11) 1/18)) (.f64 (.f64 y y) (.f64 1/9 (.f64 z z))) (.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (*.f64 5/81 (cbrt.f64 (pow.f64 x 5)))))))
(+.f64 (cbrt.f64 x) (fma.f64 y (.f64 z (.f64 (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) -1/3)) (fma.f64 (.f64 y (.f64 (.f64 y (.f64 z z)) (.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 (pow.f64 x 11) 1/18)))) -1/9 (.f64 (.f64 (pow.f64 z 3) (cbrt.f64 (pow.f64 x 5))) (*.f64 (pow.f64 y 3) -5/81)))))
(pow.f64 x 1/3)
(cbrt.f64 x)
(-.f64 (pow.f64 x 1/3) (.f64 1/3 (.f64 (*.f64 y z) (pow.f64 (pow.f64 x 7) 1/9))))
(+.f64 (cbrt.f64 x) (.f64 -1/3 (.f64 y (.f64 z (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18))))))
(+.f64 (cbrt.f64 x) (.f64 (.f64 -1/3 (.f64 y z)) (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18))))
(fma.f64 (.f64 (.f64 y z) (*.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18))) -1/3 (cbrt.f64 x))
(fma.f64 (.f64 z (.f64 (pow.f64 (pow.f64 x 7) 1/18) (*.f64 (pow.f64 (pow.f64 x 7) 1/18) y))) -1/3 (cbrt.f64 x))
(-.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/9 (.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (pow.f64 (pow.f64 x 11) 1/9))) (.f64 1/3 (.f64 (.f64 y z) (pow.f64 (pow.f64 x 7) 1/9)))))
(-.f64 (cbrt.f64 x) (fma.f64 1/9 (.f64 (.f64 (.f64 y y) (.f64 z z)) (.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 (pow.f64 x 11) 1/18))) (.f64 1/3 (.f64 y (.f64 z (*.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)))))))
(-.f64 (cbrt.f64 x) (fma.f64 1/9 (.f64 y (.f64 y (.f64 z (.f64 z (.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 (pow.f64 x 11) 1/18)))))) (.f64 (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (.f64 (*.f64 y z) 1/3))))
(+.f64 (cbrt.f64 x) (fma.f64 (.f64 (.f64 y z) (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18))) -1/3 (.f64 (.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 (pow.f64 x 11) 1/18)) (.f64 (.f64 y (.f64 y (*.f64 z z))) -1/9))))
(-.f64 (cbrt.f64 x) (fma.f64 y (.f64 (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (.f64 z 1/3)) (.f64 y (.f64 (.f64 y (.f64 z z)) (.f64 1/9 (*.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 (pow.f64 x 11) 1/18)))))))
(-.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/9 (.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (pow.f64 (pow.f64 x 11) 1/9))) (+.f64 (.f64 1/3 (.f64 (.f64 y z) (pow.f64 (pow.f64 x 7) 1/9))) (.f64 5/81 (.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 (pow.f64 x 5) 1/3))))))
(-.f64 (cbrt.f64 x) (fma.f64 1/9 (.f64 (.f64 (.f64 y y) (.f64 z z)) (.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 (pow.f64 x 11) 1/18))) (fma.f64 1/3 (.f64 y (.f64 z (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)))) (.f64 5/81 (.f64 (pow.f64 y 3) (*.f64 (pow.f64 z 3) (cbrt.f64 (pow.f64 x 5))))))))
(-.f64 (cbrt.f64 x) (fma.f64 (.f64 (.f64 1/9 (.f64 y y)) (.f64 z z)) (.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 (pow.f64 x 11) 1/18)) (fma.f64 5/81 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) (cbrt.f64 (pow.f64 x 5)))) (.f64 (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (.f64 (*.f64 y z) 1/3)))))
(-.f64 (cbrt.f64 x) (fma.f64 y (.f64 (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (.f64 z 1/3)) (fma.f64 (.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 (pow.f64 x 11) 1/18)) (.f64 (.f64 y y) (.f64 1/9 (.f64 z z))) (.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (*.f64 5/81 (cbrt.f64 (pow.f64 x 5)))))))
(+.f64 (cbrt.f64 x) (fma.f64 y (.f64 z (.f64 (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) -1/3)) (fma.f64 (.f64 y (.f64 (.f64 y (.f64 z z)) (.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 (pow.f64 x 11) 1/18)))) -1/9 (.f64 (.f64 (pow.f64 z 3) (cbrt.f64 (pow.f64 x 5))) (*.f64 (pow.f64 y 3) -5/81)))))

prune113.0ms (4.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	147	5	152
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	150	9	159

Error

0.0b

Counts

159 → 9

Alt Table

Status	Error	Program
▶	1.3b	(.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) 2) (.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) x))
	5.3b	(fma.f64 y (*.f64 z (neg.f64 x)) x)
	2.1b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (-.f64 1 (*.f64 y z))))
	13.4b	(.f64 x (pow.f64 (sqrt.f64 (-.f64 1 (.f64 y z))) 2))
	9.4b	(.f64 x (/.f64 1 (/.f64 (+.f64 1 (.f64 y z)) (-.f64 1 (pow.f64 (*.f64 y z) 2)))))
	14.8b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 y z) 3)) x) (fma.f64 (*.f64 y z) (fma.f64 y z 1) 1))
✓	0.9b	(.f64 x (-.f64 1 (.f64 y z)))
	32.3b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 1 (*.f64 y z))))
	2.3b	(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 2)) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z))))) (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 2)))

Compiler

Compiled 2686 to 1643 computations (38.8% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) x)
✓	0.2b	(.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) 2) (.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) x))
✓	0.2b	(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) 2)
✓	1.0b	(cbrt.f64 (-.f64 1 (*.f64 y z)))

series17.0ms (0.6%)

Counts

4 → 72

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) x)
2.0ms	x	@	0	(.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) x)
1.0ms	y	@	0	(cbrt.f64 (-.f64 1 (*.f64 y z)))
1.0ms	x	@	inf	(.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) x)
1.0ms	y	@	0	(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) 2)

rewrite51.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

565×	`log-prod_binary64`
423×	`prod-diff_binary64`
200×	`expm1-udef_binary64`
199×	`log1p-udef_binary64`
168×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	248	43
2	2914	43

Stop Event

1×	node limit

Counts

4 → 88

Calls

Call 1

Inputs
(cbrt.f64 (-.f64 1 (*.f64 y z)))
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) 2)
(.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) 2) (.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) x))
(.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)))) (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 z (neg.f64 y) 1) 1/6) (pow.f64 (fma.f64 z (neg.f64 y) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 z (neg.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (fma.f64 z (neg.f64 y) 1)) 1/3) (pow.f64 (sqrt.f64 (fma.f64 z (neg.f64 y) 1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1 (pow.f64 (.f64 y z) 3))) (cbrt.f64 (fma.f64 (.f64 y z) (fma.f64 y z 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1 (pow.f64 (.f64 y z) 2))) (cbrt.f64 (fma.f64 y z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (neg.f64 y) 1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (neg.f64 y) 1) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 1/3 (log1p.f64 (.f64 z (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (.f64 z (neg.f64 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/3 (log1p.f64 (*.f64 z (neg.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) (cbrt.f64 (fma.f64 z (neg.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1))) 2) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1))) (cbrt.f64 (fma.f64 z (neg.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 z (neg.f64 y) 1)) (pow.f64 (fma.f64 z (neg.f64 y) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 z (neg.f64 y) 1) 1/6) (.f64 (pow.f64 (fma.f64 z (neg.f64 y) 1) 1/6) (cbrt.f64 (fma.f64 z (neg.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (neg.f64 y) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2/3 (log1p.f64 (.f64 z (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log1p.f64 (.f64 z (neg.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (fma.f64 z (neg.f64 y) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 z (neg.f64 y) 1)) x)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 z (neg.f64 y) 1)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 z (neg.f64 y) 1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 z (neg.f64 y) 1)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 z (neg.f64 y) 1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 z (neg.f64 y) 1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 (.f64 y z) 3)) x) (fma.f64 (.f64 y z) (fma.f64 y z 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 (.f64 y z) 2)) x) (fma.f64 y z 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 z (neg.f64 y) 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 z (neg.f64 y) 1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (fma.f64 z (neg.f64 y) 1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (fma.f64 z (neg.f64 y) 1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (fma.f64 z (neg.f64 y) 1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 z (neg.f64 y) 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 z (neg.f64 y) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (fma.f64 z (neg.f64 y) 1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 z (neg.f64 y) 1) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 z (neg.f64 y) 1) 2) (pow.f64 (.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) x) 3) (pow.f64 (fma.f64 z (neg.f64 y) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (fma.f64 z (neg.f64 y) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (fma.f64 z (neg.f64 y) 1) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (fma.f64 z (neg.f64 y) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 z (neg.f64 y) 1) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (cbrt.f64 (fma.f64 z (neg.f64 y) 1)))) (cbrt.f64 (pow.f64 (exp.f64 x) (cbrt.f64 (fma.f64 z (neg.f64 y) 1)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (cbrt.f64 (fma.f64 z (neg.f64 y) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (cbrt.f64 (fma.f64 z (neg.f64 y) 1))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (cbrt.f64 (fma.f64 z (neg.f64 y) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (cbrt.f64 (fma.f64 z (neg.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (fma.f64 z (neg.f64 y) 1) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (fma.f64 z (neg.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 1/3 (log1p.f64 (.f64 z (neg.f64 y))) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 1/3 (log1p.f64 (.f64 z (neg.f64 y))) (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) x)))))))

simplify43.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

805×	`distribute-rgt-neg-in_binary64`
769×	`distribute-lft-neg-in_binary64`
441×	`associate-l_binary64`
421×	`associate-r_binary64`
281×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	938
1	184	938
2	644	902
3	3329	902

Stop Event

1×	node limit

Counts

160 → 115

Calls

Call 1

Inputs
1
(-.f64 1 (.f64 1/3 (.f64 y z)))
(-.f64 1 (+.f64 (.f64 1/3 (.f64 y z)) (.f64 1/9 (.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(-.f64 1 (+.f64 (.f64 5/81 (.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (.f64 1/3 (.f64 y z)) (.f64 1/9 (.f64 (pow.f64 y 2) (pow.f64 z 2))))))
1
(-.f64 1 (.f64 1/3 (.f64 y z)))
(-.f64 1 (+.f64 (.f64 1/3 (.f64 y z)) (.f64 1/9 (.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(-.f64 1 (+.f64 (.f64 5/81 (.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (.f64 1/3 (.f64 y z)) (.f64 1/9 (.f64 (pow.f64 y 2) (pow.f64 z 2))))))
1
(-.f64 1 (.f64 2/3 (.f64 y z)))
(-.f64 1 (+.f64 (.f64 2/3 (.f64 y z)) (.f64 1/9 (.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(-.f64 1 (+.f64 (.f64 4/81 (.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (.f64 2/3 (.f64 y z)) (.f64 1/9 (.f64 (pow.f64 y 2) (pow.f64 z 2))))))
1
(-.f64 1 (.f64 2/3 (.f64 y z)))
(-.f64 1 (+.f64 (.f64 2/3 (.f64 y z)) (.f64 1/9 (.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(-.f64 1 (+.f64 (.f64 4/81 (.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (.f64 2/3 (.f64 y z)) (.f64 1/9 (.f64 (pow.f64 y 2) (pow.f64 z 2))))))
x
(-.f64 x (.f64 y (.f64 z x)))
(-.f64 x (.f64 y (.f64 z x)))
(-.f64 x (.f64 y (.f64 z x)))
(.f64 -1 (.f64 y (*.f64 z x)))
(-.f64 x (.f64 y (.f64 z x)))
(-.f64 x (.f64 y (.f64 z x)))
(-.f64 x (.f64 y (.f64 z x)))
(.f64 -1 (.f64 y (*.f64 z x)))
(-.f64 x (.f64 y (.f64 z x)))
(-.f64 x (.f64 y (.f64 z x)))
(-.f64 x (.f64 y (.f64 z x)))
x
(-.f64 x (.f64 y (.f64 z x)))
(-.f64 x (.f64 y (.f64 z x)))
(-.f64 x (.f64 y (.f64 z x)))
(.f64 -1 (.f64 y (*.f64 z x)))
(-.f64 x (.f64 y (.f64 z x)))
(-.f64 x (.f64 y (.f64 z x)))
(-.f64 x (.f64 y (.f64 z x)))
(.f64 -1 (.f64 y (*.f64 z x)))
(-.f64 x (.f64 y (.f64 z x)))
(-.f64 x (.f64 y (.f64 z x)))
(-.f64 x (.f64 y (.f64 z x)))
(.f64 (-.f64 1 (.f64 y z)) x)
(.f64 (-.f64 1 (.f64 y z)) x)
(.f64 (-.f64 1 (.f64 y z)) x)
(.f64 (-.f64 1 (.f64 y z)) x)
(.f64 (-.f64 1 (.f64 y z)) x)
(.f64 (-.f64 1 (.f64 y z)) x)
(.f64 (-.f64 1 (.f64 y z)) x)
(.f64 (-.f64 1 (.f64 y z)) x)
(.f64 (-.f64 1 (.f64 y z)) x)
(.f64 (-.f64 1 (.f64 y z)) x)
(.f64 (-.f64 1 (.f64 y z)) x)
(.f64 (-.f64 1 (.f64 y z)) x)
x
(-.f64 x (.f64 1/3 (.f64 y (*.f64 z x))))
(-.f64 x (+.f64 (.f64 1/9 (.f64 (pow.f64 y 2) (.f64 (pow.f64 z 2) x))) (.f64 1/3 (.f64 y (.f64 z x)))))
(-.f64 x (+.f64 (.f64 5/81 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x))) (+.f64 (.f64 1/9 (.f64 (pow.f64 y 2) (.f64 (pow.f64 z 2) x))) (.f64 1/3 (.f64 y (*.f64 z x))))))
x
(-.f64 x (.f64 1/3 (.f64 y (*.f64 z x))))
(-.f64 x (+.f64 (.f64 1/9 (.f64 (pow.f64 y 2) (.f64 (pow.f64 z 2) x))) (.f64 1/3 (.f64 y (.f64 z x)))))
(-.f64 x (+.f64 (.f64 5/81 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x))) (+.f64 (.f64 1/9 (.f64 (pow.f64 y 2) (.f64 (pow.f64 z 2) x))) (.f64 1/3 (.f64 y (*.f64 z x))))))
(.f64 (pow.f64 (-.f64 1 (.f64 y z)) 1/3) x)
(.f64 (pow.f64 (-.f64 1 (.f64 y z)) 1/3) x)
(.f64 (pow.f64 (-.f64 1 (.f64 y z)) 1/3) x)
(.f64 (pow.f64 (-.f64 1 (.f64 y z)) 1/3) x)
(.f64 (pow.f64 (-.f64 1 (.f64 y z)) 1/3) x)
(.f64 (pow.f64 (-.f64 1 (.f64 y z)) 1/3) x)
(.f64 (pow.f64 (-.f64 1 (.f64 y z)) 1/3) x)
(.f64 (pow.f64 (-.f64 1 (.f64 y z)) 1/3) x)
(.f64 (pow.f64 (-.f64 1 (.f64 y z)) 1/3) x)
(.f64 (pow.f64 (-.f64 1 (.f64 y z)) 1/3) x)
(.f64 (pow.f64 (-.f64 1 (.f64 y z)) 1/3) x)
(.f64 (pow.f64 (-.f64 1 (.f64 y z)) 1/3) x)

Outputs
1
(-.f64 1 (.f64 1/3 (.f64 y z)))
(+.f64 1 (.f64 -1/3 (.f64 y z)))
(+.f64 1 (.f64 (.f64 y z) -1/3))
(fma.f64 (*.f64 y z) -1/3 1)
(-.f64 1 (+.f64 (.f64 1/3 (.f64 y z)) (.f64 1/9 (.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(-.f64 1 (fma.f64 1/3 (.f64 y z) (.f64 1/9 (.f64 (.f64 y y) (*.f64 z z)))))
(-.f64 1 (fma.f64 1/3 (.f64 y z) (.f64 1/9 (.f64 z (.f64 z (*.f64 y y))))))
(+.f64 1 (.f64 z (-.f64 (.f64 y -1/3) (.f64 z (.f64 y (*.f64 y 1/9))))))
(-.f64 1 (.f64 z (+.f64 (.f64 1/3 y) (.f64 (.f64 y y) (*.f64 1/9 z)))))
(-.f64 1 (+.f64 (.f64 5/81 (.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (.f64 1/3 (.f64 y z)) (.f64 1/9 (.f64 (pow.f64 y 2) (pow.f64 z 2))))))
(-.f64 1 (fma.f64 5/81 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (fma.f64 1/3 (.f64 y z) (.f64 1/9 (.f64 (.f64 y y) (.f64 z z))))))
(-.f64 1 (fma.f64 5/81 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (fma.f64 1/3 (.f64 y z) (.f64 1/9 (.f64 z (.f64 z (.f64 y y)))))))
(-.f64 1 (fma.f64 1/3 (.f64 y z) (.f64 (.f64 z z) (+.f64 (.f64 5/81 (.f64 z (pow.f64 y 3))) (.f64 y (*.f64 y 1/9))))))
1
(-.f64 1 (.f64 1/3 (.f64 y z)))
(+.f64 1 (.f64 -1/3 (.f64 y z)))
(+.f64 1 (.f64 (.f64 y z) -1/3))
(fma.f64 (*.f64 y z) -1/3 1)
(-.f64 1 (+.f64 (.f64 1/3 (.f64 y z)) (.f64 1/9 (.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(-.f64 1 (fma.f64 1/3 (.f64 y z) (.f64 1/9 (.f64 (.f64 y y) (*.f64 z z)))))
(-.f64 1 (fma.f64 1/3 (.f64 y z) (.f64 1/9 (.f64 z (.f64 z (*.f64 y y))))))
(+.f64 1 (.f64 z (-.f64 (.f64 y -1/3) (.f64 z (.f64 y (*.f64 y 1/9))))))
(-.f64 1 (.f64 z (+.f64 (.f64 1/3 y) (.f64 (.f64 y y) (*.f64 1/9 z)))))
(-.f64 1 (+.f64 (.f64 5/81 (.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (.f64 1/3 (.f64 y z)) (.f64 1/9 (.f64 (pow.f64 y 2) (pow.f64 z 2))))))
(-.f64 1 (fma.f64 5/81 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (fma.f64 1/3 (.f64 y z) (.f64 1/9 (.f64 (.f64 y y) (.f64 z z))))))
(-.f64 1 (fma.f64 5/81 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (fma.f64 1/3 (.f64 y z) (.f64 1/9 (.f64 z (.f64 z (.f64 y y)))))))
(-.f64 1 (fma.f64 1/3 (.f64 y z) (.f64 (.f64 z z) (+.f64 (.f64 5/81 (.f64 z (pow.f64 y 3))) (.f64 y (*.f64 y 1/9))))))
1
(-.f64 1 (.f64 2/3 (.f64 y z)))
(+.f64 1 (.f64 -2/3 (.f64 y z)))
(+.f64 1 (.f64 (.f64 -2/3 z) y))
(fma.f64 (*.f64 y z) -2/3 1)
(fma.f64 (*.f64 z -2/3) y 1)
(-.f64 1 (+.f64 (.f64 2/3 (.f64 y z)) (.f64 1/9 (.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(-.f64 1 (fma.f64 2/3 (.f64 y z) (.f64 1/9 (.f64 (.f64 y y) (*.f64 z z)))))
(-.f64 1 (fma.f64 (.f64 y z) 2/3 (.f64 1/9 (.f64 z (.f64 z (*.f64 y y))))))
(+.f64 1 (.f64 z (-.f64 (.f64 y -2/3) (.f64 z (.f64 y (*.f64 y 1/9))))))
(-.f64 1 (.f64 z (+.f64 (.f64 y 2/3) (.f64 (.f64 y y) (*.f64 1/9 z)))))
(-.f64 1 (+.f64 (.f64 4/81 (.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (.f64 2/3 (.f64 y z)) (.f64 1/9 (.f64 (pow.f64 y 2) (pow.f64 z 2))))))
(-.f64 1 (fma.f64 4/81 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (fma.f64 2/3 (.f64 y z) (.f64 1/9 (.f64 (.f64 y y) (.f64 z z))))))
(-.f64 1 (fma.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) 4/81 (fma.f64 (.f64 y z) 2/3 (.f64 1/9 (.f64 z (.f64 z (.f64 y y)))))))
(-.f64 1 (fma.f64 y (.f64 z 2/3) (.f64 (.f64 z z) (+.f64 (.f64 z (.f64 (pow.f64 y 3) 4/81)) (.f64 y (*.f64 y 1/9))))))
(-.f64 1 (fma.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) 4/81) (.f64 z (+.f64 (.f64 y 2/3) (.f64 (.f64 y y) (.f64 1/9 z))))))
1
(-.f64 1 (.f64 2/3 (.f64 y z)))
(+.f64 1 (.f64 -2/3 (.f64 y z)))
(+.f64 1 (.f64 (.f64 -2/3 z) y))
(fma.f64 (*.f64 y z) -2/3 1)
(fma.f64 (*.f64 z -2/3) y 1)
(-.f64 1 (+.f64 (.f64 2/3 (.f64 y z)) (.f64 1/9 (.f64 (pow.f64 y 2) (pow.f64 z 2)))))
(-.f64 1 (fma.f64 2/3 (.f64 y z) (.f64 1/9 (.f64 (.f64 y y) (*.f64 z z)))))
(-.f64 1 (fma.f64 (.f64 y z) 2/3 (.f64 1/9 (.f64 z (.f64 z (*.f64 y y))))))
(+.f64 1 (.f64 z (-.f64 (.f64 y -2/3) (.f64 z (.f64 y (*.f64 y 1/9))))))
(-.f64 1 (.f64 z (+.f64 (.f64 y 2/3) (.f64 (.f64 y y) (*.f64 1/9 z)))))
(-.f64 1 (+.f64 (.f64 4/81 (.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (.f64 2/3 (.f64 y z)) (.f64 1/9 (.f64 (pow.f64 y 2) (pow.f64 z 2))))))
(-.f64 1 (fma.f64 4/81 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (fma.f64 2/3 (.f64 y z) (.f64 1/9 (.f64 (.f64 y y) (.f64 z z))))))
(-.f64 1 (fma.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) 4/81 (fma.f64 (.f64 y z) 2/3 (.f64 1/9 (.f64 z (.f64 z (.f64 y y)))))))
(-.f64 1 (fma.f64 y (.f64 z 2/3) (.f64 (.f64 z z) (+.f64 (.f64 z (.f64 (pow.f64 y 3) 4/81)) (.f64 y (*.f64 y 1/9))))))
(-.f64 1 (fma.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) 4/81) (.f64 z (+.f64 (.f64 y 2/3) (.f64 (.f64 y y) (.f64 1/9 z))))))
x
(-.f64 x (.f64 y (.f64 z x)))
(*.f64 x (fma.f64 y (neg.f64 z) 1))
(-.f64 x (.f64 y (.f64 z x)))
(*.f64 x (fma.f64 y (neg.f64 z) 1))
(-.f64 x (.f64 y (.f64 z x)))
(*.f64 x (fma.f64 y (neg.f64 z) 1))
(.f64 -1 (.f64 y (*.f64 z x)))
(neg.f64 (.f64 y (.f64 z x)))
(.f64 y (neg.f64 (.f64 z x)))
(.f64 z (.f64 y (neg.f64 x)))
(.f64 y (.f64 z (neg.f64 x)))
(-.f64 x (.f64 y (.f64 z x)))
(*.f64 x (fma.f64 y (neg.f64 z) 1))
(-.f64 x (.f64 y (.f64 z x)))
(*.f64 x (fma.f64 y (neg.f64 z) 1))
(-.f64 x (.f64 y (.f64 z x)))
(*.f64 x (fma.f64 y (neg.f64 z) 1))
(.f64 -1 (.f64 y (*.f64 z x)))
(neg.f64 (.f64 y (.f64 z x)))
(.f64 y (neg.f64 (.f64 z x)))
(.f64 z (.f64 y (neg.f64 x)))
(.f64 y (.f64 z (neg.f64 x)))
(-.f64 x (.f64 y (.f64 z x)))
(*.f64 x (fma.f64 y (neg.f64 z) 1))
(-.f64 x (.f64 y (.f64 z x)))
(*.f64 x (fma.f64 y (neg.f64 z) 1))
(-.f64 x (.f64 y (.f64 z x)))
(*.f64 x (fma.f64 y (neg.f64 z) 1))
x
(-.f64 x (.f64 y (.f64 z x)))
(*.f64 x (fma.f64 y (neg.f64 z) 1))
(-.f64 x (.f64 y (.f64 z x)))
(*.f64 x (fma.f64 y (neg.f64 z) 1))
(-.f64 x (.f64 y (.f64 z x)))
(*.f64 x (fma.f64 y (neg.f64 z) 1))
(.f64 -1 (.f64 y (*.f64 z x)))
(neg.f64 (.f64 y (.f64 z x)))
(.f64 y (neg.f64 (.f64 z x)))
(.f64 z (.f64 y (neg.f64 x)))
(.f64 y (.f64 z (neg.f64 x)))
(-.f64 x (.f64 y (.f64 z x)))
(*.f64 x (fma.f64 y (neg.f64 z) 1))
(-.f64 x (.f64 y (.f64 z x)))
(*.f64 x (fma.f64 y (neg.f64 z) 1))
(-.f64 x (.f64 y (.f64 z x)))
(*.f64 x (fma.f64 y (neg.f64 z) 1))
(.f64 -1 (.f64 y (*.f64 z x)))
(neg.f64 (.f64 y (.f64 z x)))
(.f64 y (neg.f64 (.f64 z x)))
(.f64 z (.f64 y (neg.f64 x)))
(.f64 y (.f64 z (neg.f64 x)))
(-.f64 x (.f64 y (.f64 z x)))
(*.f64 x (fma.f64 y (neg.f64 z) 1))
(-.f64 x (.f64 y (.f64 z x)))
(*.f64 x (fma.f64 y (neg.f64 z) 1))
(-.f64 x (.f64 y (.f64 z x)))
(*.f64 x (fma.f64 y (neg.f64 z) 1))
(.f64 (-.f64 1 (.f64 y z)) x)
(-.f64 x (.f64 y (.f64 z x)))
(*.f64 x (fma.f64 y (neg.f64 z) 1))
(.f64 (-.f64 1 (.f64 y z)) x)
(-.f64 x (.f64 y (.f64 z x)))
(*.f64 x (fma.f64 y (neg.f64 z) 1))
(.f64 (-.f64 1 (.f64 y z)) x)
(-.f64 x (.f64 y (.f64 z x)))
(*.f64 x (fma.f64 y (neg.f64 z) 1))
(.f64 (-.f64 1 (.f64 y z)) x)
(-.f64 x (.f64 y (.f64 z x)))
(*.f64 x (fma.f64 y (neg.f64 z) 1))
(.f64 (-.f64 1 (.f64 y z)) x)
(-.f64 x (.f64 y (.f64 z x)))
(*.f64 x (fma.f64 y (neg.f64 z) 1))
(.f64 (-.f64 1 (.f64 y z)) x)
(-.f64 x (.f64 y (.f64 z x)))
(*.f64 x (fma.f64 y (neg.f64 z) 1))
(.f64 (-.f64 1 (.f64 y z)) x)
(-.f64 x (.f64 y (.f64 z x)))
(*.f64 x (fma.f64 y (neg.f64 z) 1))
(.f64 (-.f64 1 (.f64 y z)) x)
(-.f64 x (.f64 y (.f64 z x)))
(*.f64 x (fma.f64 y (neg.f64 z) 1))
(.f64 (-.f64 1 (.f64 y z)) x)
(-.f64 x (.f64 y (.f64 z x)))
(*.f64 x (fma.f64 y (neg.f64 z) 1))
(.f64 (-.f64 1 (.f64 y z)) x)
(-.f64 x (.f64 y (.f64 z x)))
(*.f64 x (fma.f64 y (neg.f64 z) 1))
(.f64 (-.f64 1 (.f64 y z)) x)
(-.f64 x (.f64 y (.f64 z x)))
(*.f64 x (fma.f64 y (neg.f64 z) 1))
(.f64 (-.f64 1 (.f64 y z)) x)
(-.f64 x (.f64 y (.f64 z x)))
(*.f64 x (fma.f64 y (neg.f64 z) 1))
x
(-.f64 x (.f64 1/3 (.f64 y (*.f64 z x))))
(+.f64 x (.f64 -1/3 (.f64 y (*.f64 z x))))
(+.f64 x (.f64 (.f64 y (*.f64 z x)) -1/3))
(fma.f64 (.f64 y -1/3) (.f64 z x) x)
(fma.f64 (.f64 y (.f64 z x)) -1/3 x)
(-.f64 x (+.f64 (.f64 1/9 (.f64 (pow.f64 y 2) (.f64 (pow.f64 z 2) x))) (.f64 1/3 (.f64 y (.f64 z x)))))
(-.f64 x (fma.f64 1/9 (.f64 (.f64 y y) (.f64 (.f64 z z) x)) (.f64 (.f64 1/3 y) (*.f64 z x))))
(-.f64 x (fma.f64 1/3 (.f64 y (.f64 z x)) (.f64 1/9 (.f64 y (.f64 y (.f64 z (*.f64 z x)))))))
(-.f64 x (.f64 x (.f64 z (+.f64 (.f64 1/3 y) (.f64 z (.f64 y (.f64 y 1/9)))))))
(-.f64 x (.f64 x (.f64 z (+.f64 (.f64 1/3 y) (.f64 (.f64 y y) (.f64 1/9 z))))))
(-.f64 x (+.f64 (.f64 5/81 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x))) (+.f64 (.f64 1/9 (.f64 (pow.f64 y 2) (.f64 (pow.f64 z 2) x))) (.f64 1/3 (.f64 y (*.f64 z x))))))
(-.f64 x (fma.f64 5/81 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x)) (fma.f64 1/9 (.f64 (.f64 y y) (.f64 (.f64 z z) x)) (.f64 (.f64 1/3 y) (*.f64 z x)))))
(-.f64 x (fma.f64 5/81 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x)) (fma.f64 1/3 (.f64 y (.f64 z x)) (.f64 1/9 (.f64 y (.f64 y (.f64 z (*.f64 z x))))))))
(-.f64 x (fma.f64 1/3 (.f64 y (.f64 z x)) (.f64 x (.f64 (.f64 z z) (+.f64 (.f64 5/81 (.f64 z (pow.f64 y 3))) (.f64 y (*.f64 y 1/9)))))))
x
(-.f64 x (.f64 1/3 (.f64 y (*.f64 z x))))
(+.f64 x (.f64 -1/3 (.f64 y (*.f64 z x))))
(+.f64 x (.f64 (.f64 y (*.f64 z x)) -1/3))
(fma.f64 (.f64 y -1/3) (.f64 z x) x)
(fma.f64 (.f64 y (.f64 z x)) -1/3 x)
(-.f64 x (+.f64 (.f64 1/9 (.f64 (pow.f64 y 2) (.f64 (pow.f64 z 2) x))) (.f64 1/3 (.f64 y (.f64 z x)))))
(-.f64 x (fma.f64 1/9 (.f64 (.f64 y y) (.f64 (.f64 z z) x)) (.f64 (.f64 1/3 y) (*.f64 z x))))
(-.f64 x (fma.f64 1/3 (.f64 y (.f64 z x)) (.f64 1/9 (.f64 y (.f64 y (.f64 z (*.f64 z x)))))))
(-.f64 x (.f64 x (.f64 z (+.f64 (.f64 1/3 y) (.f64 z (.f64 y (.f64 y 1/9)))))))
(-.f64 x (.f64 x (.f64 z (+.f64 (.f64 1/3 y) (.f64 (.f64 y y) (.f64 1/9 z))))))
(-.f64 x (+.f64 (.f64 5/81 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x))) (+.f64 (.f64 1/9 (.f64 (pow.f64 y 2) (.f64 (pow.f64 z 2) x))) (.f64 1/3 (.f64 y (*.f64 z x))))))
(-.f64 x (fma.f64 5/81 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x)) (fma.f64 1/9 (.f64 (.f64 y y) (.f64 (.f64 z z) x)) (.f64 (.f64 1/3 y) (*.f64 z x)))))
(-.f64 x (fma.f64 5/81 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x)) (fma.f64 1/3 (.f64 y (.f64 z x)) (.f64 1/9 (.f64 y (.f64 y (.f64 z (*.f64 z x))))))))
(-.f64 x (fma.f64 1/3 (.f64 y (.f64 z x)) (.f64 x (.f64 (.f64 z z) (+.f64 (.f64 5/81 (.f64 z (pow.f64 y 3))) (.f64 y (*.f64 y 1/9)))))))
(.f64 (pow.f64 (-.f64 1 (.f64 y z)) 1/3) x)
(.f64 x (cbrt.f64 (-.f64 1 (.f64 y z))))
(*.f64 x (cbrt.f64 (fma.f64 y (neg.f64 z) 1)))
(.f64 (pow.f64 (-.f64 1 (.f64 y z)) 1/3) x)
(.f64 x (cbrt.f64 (-.f64 1 (.f64 y z))))
(*.f64 x (cbrt.f64 (fma.f64 y (neg.f64 z) 1)))
(.f64 (pow.f64 (-.f64 1 (.f64 y z)) 1/3) x)
(.f64 x (cbrt.f64 (-.f64 1 (.f64 y z))))
(*.f64 x (cbrt.f64 (fma.f64 y (neg.f64 z) 1)))
(.f64 (pow.f64 (-.f64 1 (.f64 y z)) 1/3) x)
(.f64 x (cbrt.f64 (-.f64 1 (.f64 y z))))
(*.f64 x (cbrt.f64 (fma.f64 y (neg.f64 z) 1)))
(.f64 (pow.f64 (-.f64 1 (.f64 y z)) 1/3) x)
(.f64 x (cbrt.f64 (-.f64 1 (.f64 y z))))
(*.f64 x (cbrt.f64 (fma.f64 y (neg.f64 z) 1)))
(.f64 (pow.f64 (-.f64 1 (.f64 y z)) 1/3) x)
(.f64 x (cbrt.f64 (-.f64 1 (.f64 y z))))
(*.f64 x (cbrt.f64 (fma.f64 y (neg.f64 z) 1)))
(.f64 (pow.f64 (-.f64 1 (.f64 y z)) 1/3) x)
(.f64 x (cbrt.f64 (-.f64 1 (.f64 y z))))
(*.f64 x (cbrt.f64 (fma.f64 y (neg.f64 z) 1)))
(.f64 (pow.f64 (-.f64 1 (.f64 y z)) 1/3) x)
(.f64 x (cbrt.f64 (-.f64 1 (.f64 y z))))
(*.f64 x (cbrt.f64 (fma.f64 y (neg.f64 z) 1)))
(.f64 (pow.f64 (-.f64 1 (.f64 y z)) 1/3) x)
(.f64 x (cbrt.f64 (-.f64 1 (.f64 y z))))
(*.f64 x (cbrt.f64 (fma.f64 y (neg.f64 z) 1)))
(.f64 (pow.f64 (-.f64 1 (.f64 y z)) 1/3) x)
(.f64 x (cbrt.f64 (-.f64 1 (.f64 y z))))
(*.f64 x (cbrt.f64 (fma.f64 y (neg.f64 z) 1)))
(.f64 (pow.f64 (-.f64 1 (.f64 y z)) 1/3) x)
(.f64 x (cbrt.f64 (-.f64 1 (.f64 y z))))
(*.f64 x (cbrt.f64 (fma.f64 y (neg.f64 z) 1)))
(.f64 (pow.f64 (-.f64 1 (.f64 y z)) 1/3) x)
(.f64 x (cbrt.f64 (-.f64 1 (.f64 y z))))
(*.f64 x (cbrt.f64 (fma.f64 y (neg.f64 z) 1)))

prune142.0ms (5.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	149	1	150
Fresh	1	6	7
Picked	0	1	1
Done	1	0	1
Total	151	8	159

Error

0.0b

Counts

159 → 8

Alt Table

Status	Error	Program
✓	1.3b	(.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) 2) (.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) x))
	5.3b	(fma.f64 y (*.f64 z (neg.f64 x)) x)
	2.1b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (-.f64 1 (*.f64 y z))))
	13.4b	(.f64 x (pow.f64 (sqrt.f64 (-.f64 1 (.f64 y z))) 2))
	14.8b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 y z) 3)) x) (fma.f64 (*.f64 y z) (fma.f64 y z 1) 1))
▶	0.9b	(*.f64 x (fma.f64 y (neg.f64 z) 1))
	32.3b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 1 (*.f64 y z))))
	2.3b	(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 2)) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z))))) (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 2)))

Compiler

Compiled 3441 to 2164 computations (37.1% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.8b	(*.f64 x (fma.f64 y (neg.f64 z) 1))

series8.0ms (0.3%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(*.f64 x (fma.f64 y (neg.f64 z) 1))
1.0ms	y	@	-inf	(*.f64 x (fma.f64 y (neg.f64 z) 1))
1.0ms	y	@	inf	(*.f64 x (fma.f64 y (neg.f64 z) 1))
1.0ms	z	@	inf	(*.f64 x (fma.f64 y (neg.f64 z) 1))
1.0ms	x	@	inf	(*.f64 x (fma.f64 y (neg.f64 z) 1))

rewrite32.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

626×	`pow1_binary64`
572×	`add-log-exp_binary64`
572×	`log1p-expm1-u_binary64`
572×	`expm1-log1p-u_binary64`
76×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	153	8
2	1796	8

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

Outputs

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

simplify38.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

428×	`fma-def_binary64`
125×	`fma-neg_binary64`
50×	`associate-l_binary64`
47×	`cancel-sign-sub-inv_binary64`
42×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	338
1	32	338
2	73	338
3	153	338
4	261	338
5	410	338
6	697	338
7	831	338
8	1044	338
9	1134	338

Stop Event

1×

saturated

Counts

52 → 21

Calls

Call 1

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

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

prune13.0ms (0.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	21	8	29

Error

0.0b

Counts

29 → 8

Alt Table

Status	Error	Program
✓	1.3b	(.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) 2) (.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) x))
	5.3b	(fma.f64 y (*.f64 z (neg.f64 x)) x)
	2.1b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (-.f64 1 (*.f64 y z))))
	13.4b	(.f64 x (pow.f64 (sqrt.f64 (-.f64 1 (.f64 y z))) 2))
	14.8b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 y z) 3)) x) (fma.f64 (*.f64 y z) (fma.f64 y z 1) 1))
✓	0.9b	(*.f64 x (fma.f64 y (neg.f64 z) 1))
	32.3b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 1 (*.f64 y z))))
	2.3b	(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 2)) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z))))) (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 2)))

Compiler

Compiled 313 to 200 computations (36.1% saved)

regimes413.0ms (15.4%)

Accuracy

Total 3.0b remaining (99.1%)

Threshold costs 0b (0%)

Counts

88 → 1

Compiler

Compiled 1283 to 771 computations (39.9% 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	8	10
1	14	10
2	16	10
3	17	10

Stop Event

1×

saturated

Calls

Call 1

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

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

end104.0ms (3.9%)

Stop Event

1×

fuel

Remove

(sort y z)

Compiler

Compiled 180 to 123 computations (31.7% saved)

Details

analyze505.0ms (18.8%)

sample859.0ms (31.9%)

preprocess32.0ms (1.2%)

simplify21.0ms (0.8%)

prune1.0ms (0%)

localize4.0ms (0.2%)

series6.0ms (0.2%)

rewrite37.0ms (1.4%)

simplify32.0ms (1.2%)

prune45.0ms (1.7%)

localize7.0ms (0.3%)

series71.0ms (2.6%)

rewrite48.0ms (1.8%)

simplify34.0ms (1.3%)

prune113.0ms (4.2%)

localize8.0ms (0.3%)

series17.0ms (0.6%)

rewrite51.0ms (1.9%)

simplify43.0ms (1.6%)

prune142.0ms (5.3%)

localize5.0ms (0.2%)

series8.0ms (0.3%)

rewrite32.0ms (1.2%)

simplify38.0ms (1.4%)

prune13.0ms (0.5%)

regimes413.0ms (15.4%)

simplify2.0ms (0.1%)

end104.0ms (3.9%)

Profiling