Details

analyze509.0ms (20.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
25%	70.2%	4.8%	9
25%	51.5%	23.5%	10
29.6%	45.6%	24.7%	11
33.5%	38.4%	28%	12
41.9%	29.4%	28.6%	13
45.3%	25.4%	29.3%	14

Compiler

Compiled 19 to 9 computations (52.6% saved)

sample938.0ms (38.3%)

Results

859.0ms	8256×	body	128	valid
62.0ms	658×	body	128	invalid

Compiler

Compiled 38 to 18 computations (52.6% saved)

preprocess16.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

96×	`fma-def_binary64`
15×	`*-commutative_binary64`
14×	`associate-+l+_binary64`
12×	`+-commutative_binary64`
12×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	80
1	51	60
2	99	44
3	162	44
4	212	44
5	230	44
0	3	3
1	3	3

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
0
2

Call 2

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

Outputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (.f64 z z) (+.f64 (.f64 z z) (fma.f64 x y (*.f64 z z))))
(fma.f64 z z (fma.f64 x y (*.f64 z (+.f64 z z))))
(fma.f64 x y (.f64 3 (.f64 z z)))
(fma.f64 z (.f64 3 z) (.f64 x y))
(fma.f64 z (.f64 z 3) (.f64 x y))
(+.f64 (+.f64 (+.f64 (.f64 y x) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (.f64 z z) (+.f64 (.f64 z z) (fma.f64 x y (*.f64 z z))))
(fma.f64 z z (fma.f64 x y (*.f64 z (+.f64 z z))))
(fma.f64 x y (.f64 3 (.f64 z z)))
(fma.f64 z (.f64 3 z) (.f64 x y))
(fma.f64 z (.f64 z 3) (.f64 x y))
(+.f64 (+.f64 (+.f64 (.f64 z y) (.f64 x x)) (.f64 x x)) (.f64 x x))
(+.f64 (.f64 x x) (+.f64 (.f64 x x) (fma.f64 z y (*.f64 x x))))
(fma.f64 x x (fma.f64 y z (.f64 2 (.f64 x x))))
(fma.f64 y z (.f64 3 (.f64 x x)))
(fma.f64 x (.f64 3 x) (.f64 y z))
(fma.f64 y z (.f64 x (.f64 x 3)))
(+.f64 (+.f64 (+.f64 (.f64 x z) (.f64 y y)) (.f64 y y)) (.f64 y y))
(+.f64 (.f64 y y) (+.f64 (.f64 y y) (fma.f64 x z (*.f64 y y))))
(fma.f64 y y (fma.f64 x z (*.f64 y (+.f64 y y))))
(fma.f64 x z (.f64 3 (.f64 y y)))
(fma.f64 x z (.f64 y (.f64 3 y)))
(fma.f64 x z (.f64 y (.f64 y 3)))

Symmetry

(sort x y)

Compiler

Compiled 18 to 8 computations (55.6% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

32×	`fma-def_binary64`
5×	`*-commutative_binary64`
4×	`associate-+l+_binary64`
4×	`associate-r_binary64`
3×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	17	15
2	34	11
3	57	11
4	75	11
5	81	11

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

Outputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (.f64 z z) (+.f64 (.f64 z z) (fma.f64 x y (*.f64 z z))))
(fma.f64 z z (fma.f64 x y (*.f64 z (+.f64 z z))))
(fma.f64 x y (.f64 3 (.f64 z z)))
(fma.f64 x y (.f64 z (.f64 3 z)))
(fma.f64 x y (.f64 z (.f64 z 3)))

prune7.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.1b	(fma.f64 x y (.f64 z (.f64 z 3)))
	0.1b	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Compiler

Compiled 84 to 42 computations (50% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x y (.f64 z (.f64 z 3)))
✓	0.2b	(.f64 z (.f64 z 3))

series6.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(fma.f64 x y (.f64 z (.f64 z 3)))
1.0ms	x	@	-inf	(fma.f64 x y (.f64 z (.f64 z 3)))
1.0ms	z	@	0	(.f64 z (.f64 z 3))
1.0ms	x	@	inf	(fma.f64 x y (.f64 z (.f64 z 3)))
1.0ms	y	@	-inf	(fma.f64 x y (.f64 z (.f64 z 3)))

rewrite38.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

742×	`pow1_binary64`
680×	`add-log-exp_binary64`
680×	`log1p-expm1-u_binary64`
680×	`expm1-log1p-u_binary64`
80×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	160	18
2	1844	18

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

Inputs
(.f64 z (.f64 z 3))
(fma.f64 x y (.f64 z (.f64 z 3)))

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

Outputs

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

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

simplify71.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

605×	`sqr-pow_binary64`
443×	`associate-l_binary64`
434×	`unswap-sqr_binary64`
281×	`cube-prod_binary64`
273×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	429
1	19	429
2	33	429
3	57	429
4	119	429
5	320	429
6	1229	429
7	2130	429
8	2294	429
9	2478	429
10	2686	429
11	2978	429
12	3369	429
13	3849	429
14	4408	429

Stop Event

1×	node limit

Counts

84 → 41

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (pow.f64 z 2))
(*.f64 3 (pow.f64 z 2))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(*.f64 3 (pow.f64 z 2))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(*.f64 3 (pow.f64 z 2))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(*.f64 3 (pow.f64 z 2))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))

Outputs
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))

prune37.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	37	4	41
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	38	5	43

Error

0.0b

Counts

43 → 5

Alt Table

Status	Error	Program
	0.5b	(fma.f64 x y (pow.f64 (cbrt.f64 (.f64 z (.f64 z 3))) 3))
▶	0.1b	(fma.f64 3 (.f64 z z) (.f64 y x))
✓	0.1b	(fma.f64 x y (.f64 z (.f64 z 3)))
	21.1b	(pow.f64 (sqrt.f64 (fma.f64 x y (.f64 z (.f64 z 3)))) 2)
	16.2b	(fma.f64 x y (cbrt.f64 (.f64 (pow.f64 z 3) (pow.f64 (.f64 z 3) 3))))

Compiler

Compiled 618 to 382 computations (38.2% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 3 (.f64 z z) (.f64 y x))

series4.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(fma.f64 3 (.f64 z z) (.f64 y x))
0.0ms	z	@	inf	(fma.f64 3 (.f64 z z) (.f64 y x))
0.0ms	z	@	0	(fma.f64 3 (.f64 z z) (.f64 y x))
0.0ms	y	@	inf	(fma.f64 3 (.f64 z z) (.f64 y x))
0.0ms	x	@	inf	(fma.f64 3 (.f64 z z) (.f64 y x))

rewrite47.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

711×	`pow1_binary64`
652×	`add-log-exp_binary64`
652×	`log1p-expm1-u_binary64`
652×	`expm1-log1p-u_binary64`
80×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	159	11
2	1810	11

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(fma.f64 3 (.f64 z z) (.f64 y x))

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

Outputs

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

simplify68.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

606×	`sqr-pow_binary64`
444×	`associate-l_binary64`
434×	`unswap-sqr_binary64`
281×	`cube-prod_binary64`
273×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	345
1	19	345
2	33	345
3	58	345
4	122	345
5	362	345
6	1266	345
7	2167	345
8	2331	345
9	2515	345
10	2723	345
11	3014	345
12	3407	345
13	3885	345
14	4446	345

Stop Event

1×	node limit

Counts

58 → 27

Calls

Call 1

Inputs
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(*.f64 3 (pow.f64 z 2))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(*.f64 3 (pow.f64 z 2))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(*.f64 3 (pow.f64 z 2))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(*.f64 3 (pow.f64 z 2))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))

Outputs
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))

prune20.0ms (0.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	27	5	32

Error

0.0b

Counts

32 → 5

Alt Table

Status	Error	Program
▶	0.5b	(fma.f64 x y (pow.f64 (cbrt.f64 (.f64 z (.f64 z 3))) 3))
✓	0.1b	(fma.f64 3 (.f64 z z) (.f64 y x))
✓	0.1b	(fma.f64 x y (.f64 z (.f64 z 3)))
	21.1b	(pow.f64 (sqrt.f64 (fma.f64 x y (.f64 z (.f64 z 3)))) 2)
	16.2b	(fma.f64 x y (cbrt.f64 (.f64 (pow.f64 z 3) (pow.f64 (.f64 z 3) 3))))

Compiler

Compiled 451 to 230 computations (49% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x y (pow.f64 (cbrt.f64 (.f64 z (.f64 z 3))) 3))
	0.2b	(.f64 z (.f64 z 3))
✓	0.5b	(pow.f64 (cbrt.f64 (.f64 z (.f64 z 3))) 3)
✓	20.8b	(cbrt.f64 (.f64 z (.f64 z 3)))

series16.0ms (0.7%)

Counts

3 → 27

Calls

15 calls:

Time	Variable		Point	Expression
5.0ms	z	@	inf	(fma.f64 x y (pow.f64 (cbrt.f64 (.f64 z (.f64 z 3))) 3))
2.0ms	x	@	0	(fma.f64 x y (pow.f64 (cbrt.f64 (.f64 z (.f64 z 3))) 3))
2.0ms	z	@	0	(pow.f64 (cbrt.f64 (.f64 z (.f64 z 3))) 3)
1.0ms	y	@	0	(fma.f64 x y (pow.f64 (cbrt.f64 (.f64 z (.f64 z 3))) 3))
1.0ms	z	@	0	(cbrt.f64 (.f64 z (.f64 z 3)))

rewrite44.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	210	27
2	2194	27

Stop Event

1×	node limit

Counts

3 → 86

Calls

Call 1

Inputs
(cbrt.f64 (.f64 z (.f64 z 3)))
(pow.f64 (cbrt.f64 (.f64 z (.f64 z 3))) 3)
(fma.f64 x y (pow.f64 (cbrt.f64 (.f64 z (.f64 z 3))) 3))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 z 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 z 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z 3) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (*.f64 z 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (*.f64 z 3))) (pow.f64 (cbrt.f64 (*.f64 z (*.f64 z 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (*.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z z) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (*.f64 z 3))) 2) (cbrt.f64 (*.f64 z (*.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (*.f64 z 3)) (pow.f64 (cbrt.f64 (*.f64 z (*.f64 z 3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (*.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (*.f64 z 3)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (*.f64 z 3)))) (pow.f64 (cbrt.f64 (*.f64 z (*.f64 z 3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 z z) 9)) (*.f64 (cbrt.f64 (*.f64 z 3)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sqrt.f64 3)) (*.f64 z (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (*.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (sqrt.f64 3))) (*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 3))) (pow.f64 (cbrt.f64 (*.f64 z (*.f64 z 3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z 3)) (*.f64 (sqrt.f64 (*.f64 z 3)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (*.f64 z 3)))) 2) 3) (cbrt.f64 (*.f64 z (*.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 3))) 3) (pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (cbrt.f64 (*.f64 (*.f64 z z) 9))) (cbrt.f64 (*.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sqrt.f64 (*.f64 z 3))) (sqrt.f64 (*.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 z 3) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 z 3) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (*.f64 z 3))) 2) 1) (cbrt.f64 (*.f64 z (*.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (*.f64 z 3))) 2) (cbrt.f64 z)) (cbrt.f64 (*.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (*.f64 z 3))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (*.f64 z 3)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 z (*.f64 z 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (*.f64 z 3))) 2) (cbrt.f64 (*.f64 z (sqrt.f64 3)))) (cbrt.f64 (*.f64 z (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (*.f64 z 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 z z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (*.f64 z 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (*.f64 z 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (*.f64 z 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 z 3) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (*.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 z 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (*.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (*.f64 z 3))))))))

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

simplify74.0ms (3%)

Algorithm

1×	egg-herbie

Rules

605×	`sqr-pow_binary64`
443×	`associate-l_binary64`
434×	`unswap-sqr_binary64`
281×	`cube-prod_binary64`
273×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	240
1	19	240
2	33	240
3	57	240
4	119	240
5	320	240
6	1229	240
7	2130	240
8	2294	240
9	2478	240
10	2686	240
11	2978	240
12	3369	240
13	3849	240
14	4408	240

Stop Event

1×	node limit

Counts

113 → 90

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 z 2))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(*.f64 3 (pow.f64 z 2))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)

Outputs
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 3 (pow.f64 z 2)))
(fma.f64 y x (.f64 3 (.f64 z z)))
(fma.f64 3 (.f64 z z) (.f64 y x))
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)

prune90.0ms (3.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	105	6	111

Error

Counts

111 → 6

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 x y (.f64 z (.f64 z 3)))
▶	0.4b	(fma.f64 x y (.f64 (cbrt.f64 (.f64 (.f64 z z) 9)) (.f64 (cbrt.f64 (*.f64 z 3)) z)))
✓	0.1b	(fma.f64 3 (.f64 z z) (.f64 y x))
	0.6b	(fma.f64 x y (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (.f64 z 3)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 z (.f64 z 3)))) (pow.f64 (cbrt.f64 (.f64 z (.f64 z 3))) 2))))
	21.1b	(pow.f64 (sqrt.f64 (fma.f64 x y (.f64 z (.f64 z 3)))) 2)
	16.2b	(fma.f64 x y (cbrt.f64 (.f64 (pow.f64 z 3) (pow.f64 (.f64 z 3) 3))))

Compiler

Compiled 1670 to 1106 computations (33.8% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (cbrt.f64 (.f64 z 3)) z)
✓	0.3b	(.f64 (cbrt.f64 (.f64 (.f64 z z) 9)) (.f64 (cbrt.f64 (*.f64 z 3)) z))
✓	0.7b	(cbrt.f64 (*.f64 z 3))
✓	20.7b	(cbrt.f64 (.f64 (.f64 z z) 9))

series16.0ms (0.7%)

Counts

4 → 12

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	(.f64 (cbrt.f64 (.f64 (.f64 z z) 9)) (.f64 (cbrt.f64 (*.f64 z 3)) z))
2.0ms	z	@	-inf	(.f64 (cbrt.f64 (.f64 (.f64 z z) 9)) (.f64 (cbrt.f64 (*.f64 z 3)) z))
2.0ms	z	@	-inf	(cbrt.f64 (*.f64 z 3))
1.0ms	z	@	inf	(cbrt.f64 (*.f64 z 3))
1.0ms	z	@	-inf	(.f64 (cbrt.f64 (.f64 z 3)) z)

rewrite46.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

823×	`log1p-expm1-u_binary64`
823×	`expm1-log1p-u_binary64`
102×	`associate-r_binary64`
102×	`add-sqr-sqrt_binary64`
98×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	220	31
2	2526	31

Stop Event

1×	node limit

Counts

4 → 88

Calls

Call 1

Inputs
(cbrt.f64 (.f64 (.f64 z z) 9))
(cbrt.f64 (*.f64 z 3))
(.f64 (cbrt.f64 (.f64 (.f64 z z) 9)) (.f64 (cbrt.f64 (*.f64 z 3)) z))
(.f64 (cbrt.f64 (.f64 z 3)) z)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 z 3)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 z 3)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 z 3)) (cbrt.f64 (.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 (.f64 z 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 z (.f64 z 3))) (cbrt.f64 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 z) (cbrt.f64 (.f64 z 9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 z) (pow.f64 (.f64 z 9) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 z) (.f64 (cbrt.f64 3) (cbrt.f64 (.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 z 3)) 2)) (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 z 4) 81))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 z 3)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (.f64 z 3))) (cbrt.f64 (.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 z 4) 81))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 z 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 z z)) (cbrt.f64 9))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 9) (cbrt.f64 (.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 z 3)) (pow.f64 (.f64 z 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 z 3) 1/6) (.f64 (pow.f64 (.f64 z 3) 1/6) (cbrt.f64 (.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (.f64 z 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 z 4) 81)) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 z 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 z 3)) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 z 3)) 2))) (cbrt.f64 (cbrt.f64 (.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z (.f64 z 9)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 z 3)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 z 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 z 3)) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (.f64 (pow.f64 z 4) 81)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 z 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (.f64 z 3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 z 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 z (.f64 z 9))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 z 3)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (.f64 z 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 z 3)) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 z 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 z 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 z) (cbrt.f64 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 z 3))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 z 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 z 3)) 2)) (cbrt.f64 (cbrt.f64 (.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 3) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 z 3) 1/6) (pow.f64 (.f64 z 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 z 4) 81)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 z 3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (.f64 z z))) (sqrt.f64 (cbrt.f64 9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 z 3)) 1/3) (pow.f64 (sqrt.f64 (.f64 z 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z (.f64 z 9)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 z 3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 z 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 z 3) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 z 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 z 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (.f64 z 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 z (.f64 z 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z (.f64 z 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 z (.f64 z 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 z (.f64 z 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 z (.f64 z 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 z (.f64 z 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 z) 3) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 z (.f64 z 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 z (.f64 z 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 z (.f64 z 9)) (pow.f64 (.f64 z (cbrt.f64 (.f64 z 3))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 z (cbrt.f64 (.f64 z 3))) 3) (.f64 z (.f64 z 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 z (.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 z (.f64 z 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 z (.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 z (*.f64 z 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 z (cbrt.f64 (.f64 z 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z (cbrt.f64 (.f64 z 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 z (cbrt.f64 (.f64 z 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 z (cbrt.f64 (.f64 z 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 z (cbrt.f64 (.f64 z 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 z (cbrt.f64 (.f64 z 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (cbrt.f64 (.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 z (cbrt.f64 (.f64 z 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 z (cbrt.f64 (.f64 z 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 z 3) (.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 z 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 z (cbrt.f64 (.f64 z 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 z (cbrt.f64 (.f64 z 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 z (cbrt.f64 (.f64 z 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 z (cbrt.f64 (.f64 z 3)))))))))

simplify38.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

684×	`unswap-sqr_binary64`
574×	`fma-def_binary64`
336×	`distribute-lft-neg-in_binary64`
335×	`distribute-rgt-neg-in_binary64`
213×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	176
1	32	176
2	86	176
3	253	176
4	720	176
5	1155	176
6	1586	176
7	2243	176
8	3560	176

Stop Event

1×	node limit

Counts

100 → 92

Calls

Call 1

Inputs
(.f64 (cbrt.f64 9) (.f64 (pow.f64 z 2) (cbrt.f64 3)))
(.f64 (cbrt.f64 9) (.f64 (pow.f64 z 2) (cbrt.f64 3)))
(.f64 (cbrt.f64 9) (.f64 (pow.f64 z 2) (cbrt.f64 3)))
(.f64 (cbrt.f64 9) (.f64 (pow.f64 z 2) (cbrt.f64 3)))
(.f64 (cbrt.f64 9) (.f64 (pow.f64 z 2) (cbrt.f64 3)))
(.f64 (cbrt.f64 9) (.f64 (pow.f64 z 2) (cbrt.f64 3)))
(.f64 (cbrt.f64 9) (.f64 (pow.f64 z 2) (cbrt.f64 3)))
(.f64 (cbrt.f64 9) (.f64 (pow.f64 z 2) (cbrt.f64 3)))
(.f64 -1 (.f64 (cbrt.f64 -3) (*.f64 (cbrt.f64 9) (pow.f64 z 2))))
(.f64 -1 (.f64 (cbrt.f64 -3) (*.f64 (cbrt.f64 9) (pow.f64 z 2))))
(.f64 -1 (.f64 (cbrt.f64 -3) (*.f64 (cbrt.f64 9) (pow.f64 z 2))))
(.f64 -1 (.f64 (cbrt.f64 -3) (*.f64 (cbrt.f64 9) (pow.f64 z 2))))

Outputs
(.f64 (cbrt.f64 9) (.f64 (pow.f64 z 2) (cbrt.f64 3)))
(.f64 (.f64 (cbrt.f64 9) (*.f64 z z)) (cbrt.f64 3))
(.f64 (cbrt.f64 3) (.f64 z (*.f64 z (cbrt.f64 9))))
(.f64 (cbrt.f64 9) (.f64 (*.f64 z z) (cbrt.f64 3)))
(.f64 z (.f64 (cbrt.f64 9) (*.f64 z (cbrt.f64 3))))
(.f64 (cbrt.f64 9) (.f64 z (*.f64 z (cbrt.f64 3))))
(.f64 (cbrt.f64 3) (.f64 (cbrt.f64 9) (*.f64 z z)))
(.f64 (cbrt.f64 9) (.f64 (pow.f64 z 2) (cbrt.f64 3)))
(.f64 (.f64 (cbrt.f64 9) (*.f64 z z)) (cbrt.f64 3))
(.f64 (cbrt.f64 3) (.f64 z (*.f64 z (cbrt.f64 9))))
(.f64 (cbrt.f64 9) (.f64 (*.f64 z z) (cbrt.f64 3)))
(.f64 z (.f64 (cbrt.f64 9) (*.f64 z (cbrt.f64 3))))
(.f64 (cbrt.f64 9) (.f64 z (*.f64 z (cbrt.f64 3))))
(.f64 (cbrt.f64 3) (.f64 (cbrt.f64 9) (*.f64 z z)))
(.f64 (cbrt.f64 9) (.f64 (pow.f64 z 2) (cbrt.f64 3)))
(.f64 (.f64 (cbrt.f64 9) (*.f64 z z)) (cbrt.f64 3))
(.f64 (cbrt.f64 3) (.f64 z (*.f64 z (cbrt.f64 9))))
(.f64 (cbrt.f64 9) (.f64 (*.f64 z z) (cbrt.f64 3)))
(.f64 z (.f64 (cbrt.f64 9) (*.f64 z (cbrt.f64 3))))
(.f64 (cbrt.f64 9) (.f64 z (*.f64 z (cbrt.f64 3))))
(.f64 (cbrt.f64 3) (.f64 (cbrt.f64 9) (*.f64 z z)))
(.f64 (cbrt.f64 9) (.f64 (pow.f64 z 2) (cbrt.f64 3)))
(.f64 (.f64 (cbrt.f64 9) (*.f64 z z)) (cbrt.f64 3))
(.f64 (cbrt.f64 3) (.f64 z (*.f64 z (cbrt.f64 9))))
(.f64 (cbrt.f64 9) (.f64 (*.f64 z z) (cbrt.f64 3)))
(.f64 z (.f64 (cbrt.f64 9) (*.f64 z (cbrt.f64 3))))
(.f64 (cbrt.f64 9) (.f64 z (*.f64 z (cbrt.f64 3))))
(.f64 (cbrt.f64 3) (.f64 (cbrt.f64 9) (*.f64 z z)))
(.f64 (cbrt.f64 9) (.f64 (pow.f64 z 2) (cbrt.f64 3)))
(.f64 (.f64 (cbrt.f64 9) (*.f64 z z)) (cbrt.f64 3))
(.f64 (cbrt.f64 3) (.f64 z (*.f64 z (cbrt.f64 9))))
(.f64 (cbrt.f64 9) (.f64 (*.f64 z z) (cbrt.f64 3)))
(.f64 z (.f64 (cbrt.f64 9) (*.f64 z (cbrt.f64 3))))
(.f64 (cbrt.f64 9) (.f64 z (*.f64 z (cbrt.f64 3))))
(.f64 (cbrt.f64 3) (.f64 (cbrt.f64 9) (*.f64 z z)))
(.f64 (cbrt.f64 9) (.f64 (pow.f64 z 2) (cbrt.f64 3)))
(.f64 (.f64 (cbrt.f64 9) (*.f64 z z)) (cbrt.f64 3))
(.f64 (cbrt.f64 3) (.f64 z (*.f64 z (cbrt.f64 9))))
(.f64 (cbrt.f64 9) (.f64 (*.f64 z z) (cbrt.f64 3)))
(.f64 z (.f64 (cbrt.f64 9) (*.f64 z (cbrt.f64 3))))
(.f64 (cbrt.f64 9) (.f64 z (*.f64 z (cbrt.f64 3))))
(.f64 (cbrt.f64 3) (.f64 (cbrt.f64 9) (*.f64 z z)))
(.f64 (cbrt.f64 9) (.f64 (pow.f64 z 2) (cbrt.f64 3)))
(.f64 (.f64 (cbrt.f64 9) (*.f64 z z)) (cbrt.f64 3))
(.f64 (cbrt.f64 3) (.f64 z (*.f64 z (cbrt.f64 9))))
(.f64 (cbrt.f64 9) (.f64 (*.f64 z z) (cbrt.f64 3)))
(.f64 z (.f64 (cbrt.f64 9) (*.f64 z (cbrt.f64 3))))
(.f64 (cbrt.f64 9) (.f64 z (*.f64 z (cbrt.f64 3))))
(.f64 (cbrt.f64 3) (.f64 (cbrt.f64 9) (*.f64 z z)))
(.f64 (cbrt.f64 9) (.f64 (pow.f64 z 2) (cbrt.f64 3)))
(.f64 (.f64 (cbrt.f64 9) (*.f64 z z)) (cbrt.f64 3))
(.f64 (cbrt.f64 3) (.f64 z (*.f64 z (cbrt.f64 9))))
(.f64 (cbrt.f64 9) (.f64 (*.f64 z z) (cbrt.f64 3)))
(.f64 z (.f64 (cbrt.f64 9) (*.f64 z (cbrt.f64 3))))
(.f64 (cbrt.f64 9) (.f64 z (*.f64 z (cbrt.f64 3))))
(.f64 (cbrt.f64 3) (.f64 (cbrt.f64 9) (*.f64 z z)))
(.f64 -1 (.f64 (cbrt.f64 -3) (*.f64 (cbrt.f64 9) (pow.f64 z 2))))
(neg.f64 (.f64 (cbrt.f64 -3) (.f64 (cbrt.f64 9) (*.f64 z z))))
(.f64 (cbrt.f64 -3) (neg.f64 (.f64 z (*.f64 z (cbrt.f64 9)))))
(.f64 (.f64 (cbrt.f64 9) (cbrt.f64 -3)) (neg.f64 (*.f64 z z)))
(.f64 (cbrt.f64 9) (.f64 (neg.f64 z) (*.f64 z (cbrt.f64 -3))))
(.f64 z (.f64 z (*.f64 (cbrt.f64 -3) (neg.f64 (cbrt.f64 9)))))
(.f64 (cbrt.f64 -3) (.f64 (cbrt.f64 9) (*.f64 z (neg.f64 z))))
(.f64 -1 (.f64 (cbrt.f64 -3) (*.f64 (cbrt.f64 9) (pow.f64 z 2))))
(neg.f64 (.f64 (cbrt.f64 -3) (.f64 (cbrt.f64 9) (*.f64 z z))))
(.f64 (cbrt.f64 -3) (neg.f64 (.f64 z (*.f64 z (cbrt.f64 9)))))
(.f64 (.f64 (cbrt.f64 9) (cbrt.f64 -3)) (neg.f64 (*.f64 z z)))
(.f64 (cbrt.f64 9) (.f64 (neg.f64 z) (*.f64 z (cbrt.f64 -3))))
(.f64 z (.f64 z (*.f64 (cbrt.f64 -3) (neg.f64 (cbrt.f64 9)))))
(.f64 (cbrt.f64 -3) (.f64 (cbrt.f64 9) (*.f64 z (neg.f64 z))))
(.f64 -1 (.f64 (cbrt.f64 -3) (*.f64 (cbrt.f64 9) (pow.f64 z 2))))
(neg.f64 (.f64 (cbrt.f64 -3) (.f64 (cbrt.f64 9) (*.f64 z z))))
(.f64 (cbrt.f64 -3) (neg.f64 (.f64 z (*.f64 z (cbrt.f64 9)))))
(.f64 (.f64 (cbrt.f64 9) (cbrt.f64 -3)) (neg.f64 (*.f64 z z)))
(.f64 (cbrt.f64 9) (.f64 (neg.f64 z) (*.f64 z (cbrt.f64 -3))))
(.f64 z (.f64 z (*.f64 (cbrt.f64 -3) (neg.f64 (cbrt.f64 9)))))
(.f64 (cbrt.f64 -3) (.f64 (cbrt.f64 9) (*.f64 z (neg.f64 z))))
(.f64 -1 (.f64 (cbrt.f64 -3) (*.f64 (cbrt.f64 9) (pow.f64 z 2))))
(neg.f64 (.f64 (cbrt.f64 -3) (.f64 (cbrt.f64 9) (*.f64 z z))))
(.f64 (cbrt.f64 -3) (neg.f64 (.f64 z (*.f64 z (cbrt.f64 9)))))
(.f64 (.f64 (cbrt.f64 9) (cbrt.f64 -3)) (neg.f64 (*.f64 z z)))
(.f64 (cbrt.f64 9) (.f64 (neg.f64 z) (*.f64 z (cbrt.f64 -3))))
(.f64 z (.f64 z (*.f64 (cbrt.f64 -3) (neg.f64 (cbrt.f64 9)))))
(.f64 (cbrt.f64 -3) (.f64 (cbrt.f64 9) (*.f64 z (neg.f64 z))))

prune79.0ms (3.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	92	6	98

Error

Counts

98 → 6

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 x y (.f64 z (.f64 z 3)))
✓	0.4b	(fma.f64 x y (.f64 (cbrt.f64 (.f64 (.f64 z z) 9)) (.f64 (cbrt.f64 (*.f64 z 3)) z)))
✓	0.1b	(fma.f64 3 (.f64 z z) (.f64 y x))
	0.2b	(fma.f64 x y (.f64 (cbrt.f64 9) (.f64 (pow.f64 z 2) (cbrt.f64 3))))
	21.1b	(pow.f64 (sqrt.f64 (fma.f64 x y (.f64 z (.f64 z 3)))) 2)
	16.2b	(fma.f64 x y (cbrt.f64 (.f64 (pow.f64 z 3) (pow.f64 (.f64 z 3) 3))))

Compiler

Compiled 1751 to 1163 computations (33.6% saved)

regimes116.0ms (4.7%)

Accuracy

Total 0.1b remaining (90.3%)

Threshold costs 0.1b (90.3%)

Counts

29 → 1

Compiler

Compiled 393 to 235 computations (40.2% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	10	11

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x y (.f64 z (.f64 z 3)))

Outputs
(fma.f64 x y (.f64 z (.f64 z 3)))

end130.0ms (5.3%)

Stop Event

1×

fuel

Remove

(sort x y)

Compiler

Compiled 130 to 89 computations (31.5% saved)

Details

analyze509.0ms (20.8%)

sample938.0ms (38.3%)

preprocess16.0ms (0.6%)

simplify7.0ms (0.3%)

prune7.0ms (0.3%)

localize5.0ms (0.2%)

series6.0ms (0.3%)

rewrite38.0ms (1.5%)

simplify71.0ms (2.9%)

prune37.0ms (1.5%)

localize5.0ms (0.2%)

series4.0ms (0.2%)

rewrite47.0ms (1.9%)

simplify68.0ms (2.8%)

prune20.0ms (0.8%)

localize8.0ms (0.3%)

series16.0ms (0.7%)

rewrite44.0ms (1.8%)

simplify74.0ms (3%)

prune90.0ms (3.7%)

localize11.0ms (0.4%)

series16.0ms (0.7%)

rewrite46.0ms (1.9%)

simplify38.0ms (1.5%)

prune79.0ms (3.2%)

regimes116.0ms (4.7%)

simplify2.0ms (0.1%)

end130.0ms (5.3%)

Profiling