Details

analyze355.0ms (11%)

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
31.2%	68.6%	0.1%	8
37.4%	59.3%	3.3%	9
45.2%	48.4%	6.4%	10
56.9%	36.7%	6.4%	11
60.5%	30.8%	8.7%	12
64.2%	24.8%	11.1%	13
70.3%	18.6%	11.1%	14

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample987.0ms (30.7%)

Results

913.0ms	8256×	body	128	valid
58.0ms	612×	body	128	invalid

Compiler

Compiled 22 to 16 computations (27.3% saved)

preprocess42.0ms (1.3%)

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)

simplify20.0ms (0.6%)

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)))

prune2.0ms (0.1%)

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

3.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	3.3b	(.f64 x (-.f64 1 (.f64 y z)))

Compiler

Compiled 30 to 21 computations (30% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (*.f64 y z))
✓	3.1b	(.f64 x (-.f64 1 (.f64 y z)))

series11.0ms (0.3%)

Counts

2 → 42

Calls

15 calls:

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

rewrite44.0ms (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 expm1.f64 (log1p.f64 (.f64 x (-.f64 1 (.f64 y z)))))))) (#(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 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 +.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 expm1.f64 (log1p.f64 (-.f64 1 (.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (.f64 y z))))))) (#(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))))))

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

simplify32.0ms (1%)

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)))
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(.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))

prune48.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	56	4	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	5	61

Error

0.0b

Counts

61 → 5

Alt Table

Status	Error	Program
▶	4.5b	(pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 3)
	12.4b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 y z) 2)) x) (+.f64 1 (*.f64 y z)))
	17.1b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 y z) 3)) x) (+.f64 1 (+.f64 (.f64 y z) (pow.f64 (.f64 y z) 2))))
✓	3.3b	(.f64 x (-.f64 1 (.f64 y z)))
	5.1b	(fma.f64 y (*.f64 z (neg.f64 x)) x)

Compiler

Compiled 847 to 469 computations (44.6% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 1 (*.f64 y z))
✓	0.5b	(cbrt.f64 (.f64 x (-.f64 1 (.f64 y z))))
✓	0.7b	(pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 3)
	3.1b	(.f64 x (-.f64 1 (.f64 y z)))

series64.0ms (2%)

Counts

2 → 16

Calls

18 calls:

Time	Variable		Point	Expression
24.0ms	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)
4.0ms	y	@	inf	(cbrt.f64 (.f64 x (-.f64 1 (.f64 y z))))
4.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 3)
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 3)

rewrite59.0ms (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 (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 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 log1p.f64 (expm1.f64 (.f64 x (-.f64 1 (.f64 y z)))))))) (#(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 +.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 expm1.f64 (log1p.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z))))))))) (#(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 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))))))

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 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 log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 (*.f64 y z)))))))) (#(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 +.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 expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (-.f64 1 (*.f64 y z))))))))) (#(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 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))))))

simplify37.0ms (1.2%)

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)))))

prune95.0ms (2.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	148	4	152
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	150	7	157

Error

0.0b

Counts

157 → 7

Alt Table

Status	Error	Program
	3.8b	(.f64 (.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) 2)) (cbrt.f64 (-.f64 1 (.f64 y z))))
▶	3.8b	(.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) 2) (.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) x))
✓	4.5b	(pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 3)
✓	3.3b	(.f64 x (-.f64 1 (.f64 y z)))
	5.1b	(fma.f64 y (*.f64 z (neg.f64 x)) x)
	12.4b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 y z) 2)) x) (fma.f64 y z 1))
	17.1b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 y z) 3)) x) (fma.f64 (*.f64 y z) (fma.f64 y z 1) 1))

Compiler

Compiled 2577 to 1569 computations (39.1% saved)

localize19.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) x)
✓	0.2b	(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) 2)
✓	1.1b	(.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) 2) (.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) x))
✓	3.3b	(cbrt.f64 (-.f64 1 (*.f64 y z)))

series16.0ms (0.5%)

Counts

4 → 72

Calls

30 calls:

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

rewrite63.0ms (2%)

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)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) 2) (.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) x))
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) 2)
(.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 expm1.f64 (log1p.f64 (cbrt.f64 (fma.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 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 +.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 expm1.f64 (log1p.f64 (.f64 (fma.f64 z (neg.f64 y) 1) x)))))) (#(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 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 +.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 expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) 2)))))) (#(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 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 +.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 expm1.f64 (log1p.f64 (.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1)) x)))))) (#(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 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))))))

simplify48.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

805×	`distribute-rgt-neg-in_binary64`
769×	`distribute-lft-neg-in_binary64`
442×	`associate-l_binary64`
422×	`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	3334	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))))))
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)
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 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)
(fma.f64 (*.f64 z -1/3) y 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 1/3 y) (.f64 z (.f64 y (*.f64 y 1/9))))))
(+.f64 1 (.f64 z (+.f64 (.f64 y -1/3) (.f64 z (.f64 y (*.f64 y -1/9))))))
(-.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 5/81 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 z (+.f64 (.f64 1/3 y) (.f64 z (.f64 y (.f64 y 1/9)))))))
(-.f64 1 (fma.f64 5/81 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 z (+.f64 (.f64 1/3 y) (.f64 z (.f64 1/9 (.f64 y y)))))))
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)
(fma.f64 (*.f64 z -1/3) y 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 1/3 y) (.f64 z (.f64 y (*.f64 y 1/9))))))
(+.f64 1 (.f64 z (+.f64 (.f64 y -1/3) (.f64 z (.f64 y (*.f64 y -1/9))))))
(-.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 5/81 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 z (+.f64 (.f64 1/3 y) (.f64 z (.f64 y (.f64 y 1/9)))))))
(-.f64 1 (fma.f64 5/81 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (.f64 z (+.f64 (.f64 1/3 y) (.f64 z (.f64 1/9 (.f64 y y)))))))
x
(-.f64 x (.f64 y (.f64 z x)))
(.f64 x (-.f64 1 (.f64 y z)))
(-.f64 x (.f64 y (.f64 z x)))
(.f64 x (-.f64 1 (.f64 y z)))
(-.f64 x (.f64 y (.f64 z x)))
(.f64 x (-.f64 1 (.f64 y z)))
(.f64 -1 (.f64 y (*.f64 z x)))
(neg.f64 (.f64 y (.f64 z x)))
(.f64 (.f64 z x) (neg.f64 y))
(.f64 y (.f64 z (neg.f64 x)))
(-.f64 x (.f64 y (.f64 z x)))
(.f64 x (-.f64 1 (.f64 y z)))
(-.f64 x (.f64 y (.f64 z x)))
(.f64 x (-.f64 1 (.f64 y z)))
(-.f64 x (.f64 y (.f64 z x)))
(.f64 x (-.f64 1 (.f64 y z)))
(.f64 -1 (.f64 y (*.f64 z x)))
(neg.f64 (.f64 y (.f64 z x)))
(.f64 (.f64 z x) (neg.f64 y))
(.f64 y (.f64 z (neg.f64 x)))
(-.f64 x (.f64 y (.f64 z x)))
(.f64 x (-.f64 1 (.f64 y z)))
(-.f64 x (.f64 y (.f64 z x)))
(.f64 x (-.f64 1 (.f64 y z)))
(-.f64 x (.f64 y (.f64 z x)))
(.f64 x (-.f64 1 (.f64 y z)))
x
(-.f64 x (.f64 y (.f64 z x)))
(.f64 x (-.f64 1 (.f64 y z)))
(-.f64 x (.f64 y (.f64 z x)))
(.f64 x (-.f64 1 (.f64 y z)))
(-.f64 x (.f64 y (.f64 z x)))
(.f64 x (-.f64 1 (.f64 y z)))
(.f64 -1 (.f64 y (*.f64 z x)))
(neg.f64 (.f64 y (.f64 z x)))
(.f64 (.f64 z x) (neg.f64 y))
(.f64 y (.f64 z (neg.f64 x)))
(-.f64 x (.f64 y (.f64 z x)))
(.f64 x (-.f64 1 (.f64 y z)))
(-.f64 x (.f64 y (.f64 z x)))
(.f64 x (-.f64 1 (.f64 y z)))
(-.f64 x (.f64 y (.f64 z x)))
(.f64 x (-.f64 1 (.f64 y z)))
(.f64 -1 (.f64 y (*.f64 z x)))
(neg.f64 (.f64 y (.f64 z x)))
(.f64 (.f64 z x) (neg.f64 y))
(.f64 y (.f64 z (neg.f64 x)))
(-.f64 x (.f64 y (.f64 z x)))
(.f64 x (-.f64 1 (.f64 y z)))
(-.f64 x (.f64 y (.f64 z x)))
(.f64 x (-.f64 1 (.f64 y z)))
(-.f64 x (.f64 y (.f64 z x)))
(.f64 x (-.f64 1 (.f64 y z)))
(.f64 (-.f64 1 (.f64 y z)) x)
(-.f64 x (.f64 y (.f64 z x)))
(.f64 x (-.f64 1 (.f64 y z)))
(.f64 (-.f64 1 (.f64 y z)) x)
(-.f64 x (.f64 y (.f64 z x)))
(.f64 x (-.f64 1 (.f64 y z)))
(.f64 (-.f64 1 (.f64 y z)) x)
(-.f64 x (.f64 y (.f64 z x)))
(.f64 x (-.f64 1 (.f64 y z)))
(.f64 (-.f64 1 (.f64 y z)) x)
(-.f64 x (.f64 y (.f64 z x)))
(.f64 x (-.f64 1 (.f64 y z)))
(.f64 (-.f64 1 (.f64 y z)) x)
(-.f64 x (.f64 y (.f64 z x)))
(.f64 x (-.f64 1 (.f64 y z)))
(.f64 (-.f64 1 (.f64 y z)) x)
(-.f64 x (.f64 y (.f64 z x)))
(.f64 x (-.f64 1 (.f64 y z)))
(.f64 (-.f64 1 (.f64 y z)) x)
(-.f64 x (.f64 y (.f64 z x)))
(.f64 x (-.f64 1 (.f64 y z)))
(.f64 (-.f64 1 (.f64 y z)) x)
(-.f64 x (.f64 y (.f64 z x)))
(.f64 x (-.f64 1 (.f64 y z)))
(.f64 (-.f64 1 (.f64 y z)) x)
(-.f64 x (.f64 y (.f64 z x)))
(.f64 x (-.f64 1 (.f64 y z)))
(.f64 (-.f64 1 (.f64 y z)) x)
(-.f64 x (.f64 y (.f64 z x)))
(.f64 x (-.f64 1 (.f64 y z)))
(.f64 (-.f64 1 (.f64 y z)) x)
(-.f64 x (.f64 y (.f64 z x)))
(.f64 x (-.f64 1 (.f64 y z)))
(.f64 (-.f64 1 (.f64 y z)) x)
(-.f64 x (.f64 y (.f64 z x)))
(.f64 x (-.f64 1 (.f64 y 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)
(-.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 z (.f64 1/9 (.f64 y y))) (*.f64 y 2/3))))
(-.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 (pow.f64 y 3) (.f64 4/81 z)) (.f64 y (*.f64 y 1/9))))))
(-.f64 1 (fma.f64 y (.f64 z 2/3) (.f64 (.f64 z z) (+.f64 (.f64 (pow.f64 y 3) (.f64 4/81 z)) (.f64 1/9 (*.f64 y y))))))
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)
(-.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 z (.f64 1/9 (.f64 y y))) (*.f64 y 2/3))))
(-.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 (pow.f64 y 3) (.f64 4/81 z)) (.f64 y (*.f64 y 1/9))))))
(-.f64 1 (fma.f64 y (.f64 z 2/3) (.f64 (.f64 z z) (+.f64 (.f64 (pow.f64 y 3) (.f64 4/81 z)) (.f64 1/9 (*.f64 y y))))))
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))
(.f64 (fma.f64 (.f64 y z) -1/3 1) x)
(.f64 (fma.f64 (.f64 z -1/3) y 1) 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 1/3 (.f64 y (*.f64 z x)))))
(-.f64 x (fma.f64 1/3 (.f64 y (.f64 z x)) (.f64 1/9 (.f64 (.f64 y 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 z (.f64 1/9 (.f64 y y)))))))
(-.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 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 1/3 (.f64 y (.f64 z x)) (.f64 1/9 (.f64 (.f64 y y) (.f64 z (*.f64 z x)))))))
(-.f64 x (fma.f64 5/81 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x)) (.f64 x (.f64 z (+.f64 (.f64 1/3 y) (.f64 z (.f64 y (.f64 y 1/9))))))))
(-.f64 x (fma.f64 5/81 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x)) (.f64 x (.f64 z (+.f64 (.f64 1/3 y) (.f64 z (.f64 1/9 (.f64 y y))))))))
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))
(.f64 (fma.f64 (.f64 y z) -1/3 1) x)
(.f64 (fma.f64 (.f64 z -1/3) y 1) 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 1/3 (.f64 y (*.f64 z x)))))
(-.f64 x (fma.f64 1/3 (.f64 y (.f64 z x)) (.f64 1/9 (.f64 (.f64 y 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 z (.f64 1/9 (.f64 y y)))))))
(-.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 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 1/3 (.f64 y (.f64 z x)) (.f64 1/9 (.f64 (.f64 y y) (.f64 z (*.f64 z x)))))))
(-.f64 x (fma.f64 5/81 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x)) (.f64 x (.f64 z (+.f64 (.f64 1/3 y) (.f64 z (.f64 y (.f64 y 1/9))))))))
(-.f64 x (fma.f64 5/81 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 3) x)) (.f64 x (.f64 z (+.f64 (.f64 1/3 y) (.f64 z (.f64 1/9 (.f64 y y))))))))
(.f64 (pow.f64 (-.f64 1 (.f64 y z)) 1/3) x)
(.f64 x (cbrt.f64 (-.f64 1 (.f64 y z))))
(.f64 (pow.f64 (-.f64 1 (.f64 y z)) 1/3) x)
(.f64 x (cbrt.f64 (-.f64 1 (.f64 y z))))
(.f64 (pow.f64 (-.f64 1 (.f64 y z)) 1/3) x)
(.f64 x (cbrt.f64 (-.f64 1 (.f64 y z))))
(.f64 (pow.f64 (-.f64 1 (.f64 y z)) 1/3) x)
(.f64 x (cbrt.f64 (-.f64 1 (.f64 y z))))
(.f64 (pow.f64 (-.f64 1 (.f64 y z)) 1/3) x)
(.f64 x (cbrt.f64 (-.f64 1 (.f64 y z))))
(.f64 (pow.f64 (-.f64 1 (.f64 y z)) 1/3) x)
(.f64 x (cbrt.f64 (-.f64 1 (.f64 y z))))
(.f64 (pow.f64 (-.f64 1 (.f64 y z)) 1/3) x)
(.f64 x (cbrt.f64 (-.f64 1 (.f64 y z))))
(.f64 (pow.f64 (-.f64 1 (.f64 y z)) 1/3) x)
(.f64 x (cbrt.f64 (-.f64 1 (.f64 y z))))
(.f64 (pow.f64 (-.f64 1 (.f64 y z)) 1/3) x)
(.f64 x (cbrt.f64 (-.f64 1 (.f64 y z))))
(.f64 (pow.f64 (-.f64 1 (.f64 y z)) 1/3) x)
(.f64 x (cbrt.f64 (-.f64 1 (.f64 y z))))
(.f64 (pow.f64 (-.f64 1 (.f64 y z)) 1/3) x)
(.f64 x (cbrt.f64 (-.f64 1 (.f64 y z))))
(.f64 (pow.f64 (-.f64 1 (.f64 y z)) 1/3) x)
(.f64 x (cbrt.f64 (-.f64 1 (.f64 y z))))

prune158.0ms (4.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	148	2	150
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	149	8	157

Error

0.0b

Counts

157 → 8

Alt Table

Status	Error	Program
▶	3.8b	(.f64 (.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) 2)) (cbrt.f64 (-.f64 1 (.f64 y z))))
	4.0b	(.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) 2) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1))) 3) x))
✓	4.5b	(pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 3)
	10.8b	(.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) 2) (.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (.f64 y z) 2))) (cbrt.f64 (fma.f64 y z 1))) x))
✓	3.3b	(.f64 x (-.f64 1 (.f64 y z)))
	5.1b	(fma.f64 y (*.f64 z (neg.f64 x)) x)
	12.4b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 y z) 2)) x) (fma.f64 y z 1))
	17.1b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 y z) 3)) x) (fma.f64 (*.f64 y z) (fma.f64 y z 1) 1))

Compiler

Compiled 3444 to 2183 computations (36.6% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) 2)
✓	0.2b	(.f64 (.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) 2)) (cbrt.f64 (-.f64 1 (.f64 y z))))
✓	1.1b	(.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) 2))
	3.3b	(cbrt.f64 (-.f64 1 (*.f64 y z)))

series12.0ms (0.4%)

Counts

2 → 56

Calls

18 calls:

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

rewrite46.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

565×	`log-prod_binary64`
423×	`prod-diff_binary64`
200×	`expm1-udef_binary64`
199×	`log1p-udef_binary64`
169×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	248	25
2	2917	25

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify62.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

475×	`distribute-rgt-neg-in_binary64`
459×	`fma-neg_binary64`
453×	`distribute-lft-neg-in_binary64`
293×	`associate-r_binary64`
278×	`neg-mul-1_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	694
1	122	694
2	390	686
3	1983	660
4	4764	660

Stop Event

1×	node limit

Counts

106 → 64

Calls

Call 1

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

prune160.0ms (5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	161	8	169

Error

0.0b

Counts

169 → 8

Alt Table

Status	Error	Program
✓	3.8b	(.f64 (.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) 2)) (cbrt.f64 (-.f64 1 (.f64 y z))))
	4.0b	(.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) 2) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (neg.f64 y) 1))) 3) x))
✓	4.5b	(pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 y z)))) 3)
	10.8b	(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 y (neg.f64 z) 1) 2)) x) (cbrt.f64 (-.f64 1 (*.f64 y z))))
✓	3.3b	(.f64 x (-.f64 1 (.f64 y z)))
	5.1b	(fma.f64 y (*.f64 z (neg.f64 x)) x)
	12.4b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 y z) 2)) x) (fma.f64 y z 1))
	17.1b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 y z) 3)) x) (fma.f64 (*.f64 y z) (fma.f64 y z 1) 1))

Compiler

Compiled 3412 to 2079 computations (39.1% saved)

regimes535.0ms (16.6%)

Accuracy

Total 0.1b remaining (79.8%)

Threshold costs 0.1b (79.8%)

Counts

53 → 3

Compiler

Compiled 811 to 500 computations (38.3% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Calls

2 calls:

0.0ms	(*.f64 y z)
0.0ms	(*.f64 y z)

Steps

Iters	Point		Range
2e+242	∈ [	1.803578842937642e+242	,	5.059907910970767e+248	]
-2e+277	∈ [	-3.9589910104017414e+277	,	-1.4382000450452117e+262	]

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	46
1	34	46
2	48	46
3	61	46
4	66	46
5	68	46

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (*.f64 y z) -20000000000000000057357570219907446497404120129229967567146859853820771307804544319366583914666449299233916626257196608020375872770963560895599534369611732108691868080208166641175396430819444098873307923634804982550384038403414239739984162143459594327374818907829826579083558912) (*.f64 y (*.f64 z (neg.f64 x))) (if (<=.f64 (*.f64 y z) 200000000000000010192205912740054562797105054706227332326192032866135484191283266368381817277781340435213162133635125552283598226549044171823650287604838547152620877648562966288761896029315715236087051230122378454882789355192382501217716142080) (pow.f64 (*.f64 (fma.f64 z (neg.f64 y) 1) x) 1) (*.f64 y (*.f64 z (neg.f64 x)))))

Outputs

(if (<=.f64 (*.f64 y z) -20000000000000000057357570219907446497404120129229967567146859853820771307804544319366583914666449299233916626257196608020375872770963560895599534369611732108691868080208166641175396430819444098873307923634804982550384038403414239739984162143459594327374818907829826579083558912) (*.f64 y (*.f64 z (neg.f64 x))) (if (<=.f64 (*.f64 y z) 200000000000000010192205912740054562797105054706227332326192032866135484191283266368381817277781340435213162133635125552283598226549044171823650287604838547152620877648562966288761896029315715236087051230122378454882789355192382501217716142080) (pow.f64 (*.f64 (fma.f64 z (neg.f64 y) 1) x) 1) (*.f64 y (*.f64 z (neg.f64 x)))))

(if (<=.f64 (*.f64 y z) -20000000000000000057357570219907446497404120129229967567146859853820771307804544319366583914666449299233916626257196608020375872770963560895599534369611732108691868080208166641175396430819444098873307923634804982550384038403414239739984162143459594327374818907829826579083558912) (*.f64 y (*.f64 z (neg.f64 x))) (if (<=.f64 (*.f64 y z) 200000000000000010192205912740054562797105054706227332326192032866135484191283266368381817277781340435213162133635125552283598226549044171823650287604838547152620877648562966288761896029315715236087051230122378454882789355192382501217716142080) (*.f64 x (fma.f64 z (neg.f64 y) 1)) (*.f64 y (*.f64 z (neg.f64 x)))))

end273.0ms (8.5%)

Stop Event

1×

fuel

Compiler

Compiled 271 to 164 computations (39.5% saved)

Details

analyze355.0ms (11%)

sample987.0ms (30.7%)

preprocess42.0ms (1.3%)

simplify20.0ms (0.6%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

series11.0ms (0.3%)

rewrite44.0ms (1.4%)

simplify32.0ms (1%)

prune48.0ms (1.5%)

localize7.0ms (0.2%)

series64.0ms (2%)

rewrite59.0ms (1.8%)

simplify37.0ms (1.2%)

prune95.0ms (2.9%)

localize19.0ms (0.6%)

series16.0ms (0.5%)

rewrite63.0ms (2%)

simplify48.0ms (1.5%)

prune158.0ms (4.9%)

localize8.0ms (0.3%)

series12.0ms (0.4%)

rewrite46.0ms (1.4%)

simplify62.0ms (1.9%)

prune160.0ms (5%)

regimes535.0ms (16.6%)

bsearch1.0ms (0%)

simplify4.0ms (0.1%)

end273.0ms (8.5%)

Profiling