Details

analyze187.0ms (3.3%)

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

Compiler

Compiled 19 to 9 computations (52.6% saved)

sample1.6s (28.2%)

Results

1.5s	8256×	body	256	valid
111.0ms	854×	body	256	invalid

preprocess53.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

96×	`fma-def_binary64`
15×	`*-commutative_binary64`
14×	`associate-+l+_binary64`
12×	`associate-r_binary64`
11×	`+-commutative_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 (fma.f64 x y (.f64 z z)) (+.f64 (.f64 z z) (*.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)))
(+.f64 (+.f64 (+.f64 (.f64 y x) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (fma.f64 x y (.f64 z z)) (+.f64 (.f64 z z) (*.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)))
(+.f64 (+.f64 (+.f64 (.f64 z y) (.f64 x x)) (.f64 x x)) (.f64 x x))
(+.f64 (fma.f64 z y (.f64 x x)) (+.f64 (.f64 x x) (*.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 x (.f64 x 3) (.f64 y z))
(+.f64 (+.f64 (+.f64 (.f64 x z) (.f64 y y)) (.f64 y y)) (.f64 y y))
(+.f64 (fma.f64 x z (.f64 y y)) (+.f64 (.f64 y y) (*.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 y (.f64 3 y) (.f64 x z))
(fma.f64 y (.f64 y 3) (.f64 x z))

Symmetry

(sort x y)

Compiler

Compiled 21 to 11 computations (47.6% saved)

simplify14.0ms (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 z (.f64 3 z) (.f64 x y))
(fma.f64 z (.f64 z 3) (.f64 x y))

eval1.0ms (0%)

Compiler: Compiled 26 to 11 computations (57.7% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
▶	0.1b	(fma.f64 z (.f64 z 3) (.f64 x y))

Compiler

Compiled 29 to 15 computations (48.3% saved)

localize22.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x y) (.f64 z z))
✓	0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
✓	0.1b	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Compiler

Compiled 45 to 8 computations (82.2% saved)

series17.0ms (0.3%)

Counts

3 → 108

Calls

27 calls:

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

rewrite193.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

853×	`fma-def_binary64`
523×	`log-prod_binary64`
351×	`fma-neg_binary64`
293×	`pow2_binary64`
199×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	42
1	210	34
2	3261	34

Stop Event

1×	node limit

Counts

3 → 278

Calls

Call 1

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

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

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

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

simplify321.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1080×	`sqr-pow_binary64`
636×	`fabs-mul_binary64`
612×	`pow-sqr_binary64`
610×	`cube-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	1158
1	32	942
2	64	942
3	118	942
4	263	942
5	699	942
6	1107	942
7	1610	942
8	1821	942
9	1962	942
10	2152	942
11	2419	942
12	2749	942
13	3129	942
14	3601	942
15	4206	942
16	4921	942
17	5779	942
18	6201	942
19	6517	942
20	6823	942
21	6901	942
22	6935	942

Stop Event

1×	node limit

Counts

386 → 293

Calls

Call 1

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

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

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 10 computations (52.4% saved)

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite74.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`pow1_binary64`
678×	`add-log-exp_binary64`
678×	`log1p-expm1-u_binary64`
678×	`expm1-log1p-u_binary64`
663×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	159	11
2	1834	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify185.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
560×	`cube-prod_binary64`
557×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
447×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	345
1	19	345
2	33	345
3	58	345
4	121	345
5	354	345
6	1304	345
7	2204	345
8	2368	345
9	2552	345
10	2760	345
11	3058	345
12	3451	345
13	3936	345
14	4502	345
15	5192	345
16	6029	345
17	6419	345
18	6709	345
19	6985	345
20	7059	345
21	7093	345

Stop Event

1×	node limit

Counts

57 → 26

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

eval103.0ms (1.8%)

Compiler: Compiled 6045 to 1611 computations (73.3% saved)

prune62.0ms (1.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	312	7	319
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	314	7	321

Error

0.0b

Counts

321 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	0.2b	(+.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) z) (.f64 x y)) (.f64 z z)) (.f64 z z))
▶	0.0b	(fma.f64 z (+.f64 z z) (fma.f64 x y (*.f64 z z)))
▶	23.6b	(*.f64 y x)
▶	36.1b	(.f64 z (.f64 z 3))
▶	0.1b	(+.f64 (.f64 z (.f64 z 3)) (*.f64 x y))
▶	36.1b	(.f64 3 (.f64 z z))
	1.3b	(pow.f64 (cbrt.f64 (fma.f64 z (.f64 z 3) (.f64 x y))) 3)

Compiler

Compiled 170 to 106 computations (37.6% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 29 to 7 computations (75.9% saved)

series8.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite283.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

787×	`pow1_binary64`
728×	`add-log-exp_binary64`
727×	`log1p-expm1-u_binary64`
727×	`expm1-log1p-u_binary64`
709×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	167	22
2	2288	22

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs

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

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

simplify407.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1080×	`sqr-pow_binary64`
638×	`fabs-mul_binary64`
612×	`pow-sqr_binary64`
610×	`cube-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	651
1	32	597
2	64	597
3	119	597
4	265	597
5	712	597
6	1123	597
7	1626	597
8	1837	597
9	1978	597
10	2168	597
11	2437	597
12	2769	597
13	3149	597
14	3621	597
15	4218	597
16	4931	597
17	5791	597
18	6217	597
19	6531	597
20	6841	597
21	6919	597
22	6953	597

Stop Event

1×	node limit

Counts

114 → 53

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

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

localize4.0ms (0.1%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 3 (.f64 z z))

Compiler

Compiled 13 to 7 computations (46.2% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite48.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

432×	`pow1_binary64`
419×	`add-sqr-sqrt_binary64`
411×	`*-un-lft-identity_binary64`
400×	`add-log-exp_binary64`
400×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1146	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(.f64 3 (.f64 z z))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (pow.f64 (exp.f64 z) z) (pow.f64 (exp.f64 z) z))) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (*.f64 z z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 z z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 z z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 z z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 z z))) 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 (*.f64 9 (pow.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 z z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 z z))))))))

simplify181.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
617×	`cube-prod_binary64`
556×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
446×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	104	84
5	318	84
6	1268	84
7	2140	84
8	2304	84
9	2488	84
10	2696	84
11	2991	84
12	3382	84
13	3863	84
14	4431	84
15	5123	84
16	5958	84
17	6350	84
18	6640	84
19	6918	84
20	6988	84
21	7024	84
22	7965	84

Stop Event

1×	node limit

Counts

26 → 16

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))

Outputs
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 z (.f64 z 3))

Compiler

Compiled 13 to 9 computations (30.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite48.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

448×	`pow1_binary64`
432×	`add-sqr-sqrt_binary64`
425×	`*-un-lft-identity_binary64`
414×	`add-log-exp_binary64`
414×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	101	7
2	1140	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 z (.f64 z 3))

Outputs

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

simplify180.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
617×	`cube-prod_binary64`
556×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
446×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	104	84
5	318	84
6	1268	84
7	2140	84
8	2304	84
9	2488	84
10	2696	84
11	2991	84
12	3382	84
13	3863	84
14	4431	84
15	5123	84
16	5958	84
17	6350	84
18	6640	84
19	6918	84
20	6988	84
21	7024	84
22	7965	84

Stop Event

1×	node limit

Counts

23 → 13

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))

Outputs
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))

localize14.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.2b	(.f64 z (.f64 z 3))

Compiler

Compiled 27 to 14 computations (48.1% saved)

eval24.0ms (0.4%)

Compiler: Compiled 1127 to 417 computations (63% saved)

prune16.0ms (0.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	1	1	2
Picked	0	1	1
Done	1	3	4
Total	95	7	102

Error

0.0b

Counts

102 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(+.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) z) (.f64 x y)) (.f64 z z)) (.f64 z z))
▶	36.0b	(fma.f64 z (+.f64 z z) (*.f64 z z))
✓	23.6b	(*.f64 y x)
✓	36.1b	(.f64 z (.f64 z 3))
✓	0.1b	(+.f64 (.f64 z (.f64 z 3)) (*.f64 x y))
✓	36.1b	(.f64 3 (.f64 z z))
▶	36.2b	(pow.f64 (*.f64 z (sqrt.f64 3)) 2)

Compiler

Compiled 77 to 50 computations (35.1% saved)

localize31.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) z) (.f64 x y)) (.f64 z z)) (.f64 z z))
✓	0.3b	(*.f64 (cbrt.f64 z) z)
✓	0.5b	(pow.f64 (cbrt.f64 z) 2)
✓	0.6b	(cbrt.f64 z)

Compiler

Compiled 71 to 22 computations (69% saved)

series15.0ms (0.3%)

Counts

4 → 30

Calls

18 calls:

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

rewrite111.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

666×	`fma-def_binary64`
607×	`log-prod_binary64`
340×	`pow2_binary64`
304×	`fma-neg_binary64`
235×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	45
1	281	32
2	3774	30

Stop Event

1×	node limit

Counts

4 → 167

Calls

Call 1

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

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

simplify216.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1097×	`sqr-pow_binary64`
645×	`fabs-mul_binary64`
618×	`cube-prod_binary64`
612×	`pow-sqr_binary64`
590×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	405
1	42	315
2	87	279
3	166	279
4	338	279
5	839	279
6	1312	279
7	1833	279
8	2052	279
9	2197	279
10	2391	279
11	2660	279
12	2996	279
13	3378	279
14	3857	279
15	4460	279
16	5177	279
17	6043	279
18	6469	279
19	6785	279
20	7089	279
21	7169	279
22	7205	279

Stop Event

1×	node limit

Counts

197 → 176

Calls

Call 1

Inputs
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 2 (pow.f64 z 2)))
(*.f64 2 (pow.f64 z 2))
(+.f64 (.f64 y x) (.f64 2 (pow.f64 z 2)))
(*.f64 2 (pow.f64 z 2))
(+.f64 (.f64 y x) (.f64 2 (pow.f64 z 2)))
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (.f64 2 (pow.f64 z 2)))
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (.f64 y x) (*.f64 2 (pow.f64 z 2))))
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (.f64 y x) (*.f64 2 (pow.f64 z 2))))
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (.f64 y x) (*.f64 2 (pow.f64 z 2))))
(*.f64 y x)
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (.f64 y x) (*.f64 2 (pow.f64 z 2))))
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (.f64 y x) (*.f64 2 (pow.f64 z 2))))
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (.f64 y x) (*.f64 2 (pow.f64 z 2))))
(*.f64 y x)
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (.f64 y x) (*.f64 2 (pow.f64 z 2))))
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (.f64 y x) (*.f64 2 (pow.f64 z 2))))
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (.f64 y x) (*.f64 2 (pow.f64 z 2))))
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (.f64 2 (pow.f64 z 2)))
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (.f64 y x) (*.f64 2 (pow.f64 z 2))))
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (.f64 y x) (*.f64 2 (pow.f64 z 2))))
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (.f64 y x) (*.f64 2 (pow.f64 z 2))))
(*.f64 y x)
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (.f64 y x) (*.f64 2 (pow.f64 z 2))))
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (.f64 y x) (*.f64 2 (pow.f64 z 2))))
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (.f64 y x) (*.f64 2 (pow.f64 z 2))))
(*.f64 y x)
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (.f64 y x) (*.f64 2 (pow.f64 z 2))))
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (.f64 y x) (*.f64 2 (pow.f64 z 2))))
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (.f64 y x) (*.f64 2 (pow.f64 z 2))))

Outputs
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 2 (pow.f64 z 2)))
(fma.f64 y x (.f64 2 (.f64 z z)))
(fma.f64 2 (.f64 z z) (.f64 y x))
(*.f64 2 (pow.f64 z 2))
(.f64 2 (.f64 z z))
(+.f64 (.f64 y x) (.f64 2 (pow.f64 z 2)))
(fma.f64 y x (.f64 2 (.f64 z z)))
(fma.f64 2 (.f64 z z) (.f64 y x))
(*.f64 2 (pow.f64 z 2))
(.f64 2 (.f64 z z))
(+.f64 (.f64 y x) (.f64 2 (pow.f64 z 2)))
(fma.f64 y x (.f64 2 (.f64 z z)))
(fma.f64 2 (.f64 z z) (.f64 y x))
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (.f64 2 (pow.f64 z 2)))
(.f64 (.f64 z z) 3)
(.f64 z (.f64 z 3))
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (.f64 y x) (*.f64 2 (pow.f64 z 2))))
(fma.f64 1 (.f64 z z) (fma.f64 y x (.f64 2 (*.f64 z z))))
(+.f64 (.f64 y x) (.f64 z (*.f64 z 3)))
(fma.f64 z (.f64 z 3) (.f64 y x))
(fma.f64 y x (.f64 z (.f64 z 3)))
(fma.f64 y x (.f64 (.f64 z z) 3))
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (.f64 y x) (*.f64 2 (pow.f64 z 2))))
(fma.f64 1 (.f64 z z) (fma.f64 y x (.f64 2 (*.f64 z z))))
(+.f64 (.f64 y x) (.f64 z (*.f64 z 3)))
(fma.f64 z (.f64 z 3) (.f64 y x))
(fma.f64 y x (.f64 z (.f64 z 3)))
(fma.f64 y x (.f64 (.f64 z z) 3))
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (.f64 y x) (*.f64 2 (pow.f64 z 2))))
(fma.f64 1 (.f64 z z) (fma.f64 y x (.f64 2 (*.f64 z z))))
(+.f64 (.f64 y x) (.f64 z (*.f64 z 3)))
(fma.f64 z (.f64 z 3) (.f64 y x))
(fma.f64 y x (.f64 z (.f64 z 3)))
(fma.f64 y x (.f64 (.f64 z z) 3))
(*.f64 y x)
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (.f64 y x) (*.f64 2 (pow.f64 z 2))))
(fma.f64 1 (.f64 z z) (fma.f64 y x (.f64 2 (*.f64 z z))))
(+.f64 (.f64 y x) (.f64 z (*.f64 z 3)))
(fma.f64 z (.f64 z 3) (.f64 y x))
(fma.f64 y x (.f64 z (.f64 z 3)))
(fma.f64 y x (.f64 (.f64 z z) 3))
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (.f64 y x) (*.f64 2 (pow.f64 z 2))))
(fma.f64 1 (.f64 z z) (fma.f64 y x (.f64 2 (*.f64 z z))))
(+.f64 (.f64 y x) (.f64 z (*.f64 z 3)))
(fma.f64 z (.f64 z 3) (.f64 y x))
(fma.f64 y x (.f64 z (.f64 z 3)))
(fma.f64 y x (.f64 (.f64 z z) 3))
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (.f64 y x) (*.f64 2 (pow.f64 z 2))))
(fma.f64 1 (.f64 z z) (fma.f64 y x (.f64 2 (*.f64 z z))))
(+.f64 (.f64 y x) (.f64 z (*.f64 z 3)))
(fma.f64 z (.f64 z 3) (.f64 y x))
(fma.f64 y x (.f64 z (.f64 z 3)))
(fma.f64 y x (.f64 (.f64 z z) 3))
(*.f64 y x)
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (.f64 y x) (*.f64 2 (pow.f64 z 2))))
(fma.f64 1 (.f64 z z) (fma.f64 y x (.f64 2 (*.f64 z z))))
(+.f64 (.f64 y x) (.f64 z (*.f64 z 3)))
(fma.f64 z (.f64 z 3) (.f64 y x))
(fma.f64 y x (.f64 z (.f64 z 3)))
(fma.f64 y x (.f64 (.f64 z z) 3))
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (.f64 y x) (*.f64 2 (pow.f64 z 2))))
(fma.f64 1 (.f64 z z) (fma.f64 y x (.f64 2 (*.f64 z z))))
(+.f64 (.f64 y x) (.f64 z (*.f64 z 3)))
(fma.f64 z (.f64 z 3) (.f64 y x))
(fma.f64 y x (.f64 z (.f64 z 3)))
(fma.f64 y x (.f64 (.f64 z z) 3))
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (.f64 y x) (*.f64 2 (pow.f64 z 2))))
(fma.f64 1 (.f64 z z) (fma.f64 y x (.f64 2 (*.f64 z z))))
(+.f64 (.f64 y x) (.f64 z (*.f64 z 3)))
(fma.f64 z (.f64 z 3) (.f64 y x))
(fma.f64 y x (.f64 z (.f64 z 3)))
(fma.f64 y x (.f64 (.f64 z z) 3))
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (.f64 2 (pow.f64 z 2)))
(.f64 (.f64 z z) 3)
(.f64 z (.f64 z 3))
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (.f64 y x) (*.f64 2 (pow.f64 z 2))))
(fma.f64 1 (.f64 z z) (fma.f64 y x (.f64 2 (*.f64 z z))))
(+.f64 (.f64 y x) (.f64 z (*.f64 z 3)))
(fma.f64 z (.f64 z 3) (.f64 y x))
(fma.f64 y x (.f64 z (.f64 z 3)))
(fma.f64 y x (.f64 (.f64 z z) 3))
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (.f64 y x) (*.f64 2 (pow.f64 z 2))))
(fma.f64 1 (.f64 z z) (fma.f64 y x (.f64 2 (*.f64 z z))))
(+.f64 (.f64 y x) (.f64 z (*.f64 z 3)))
(fma.f64 z (.f64 z 3) (.f64 y x))
(fma.f64 y x (.f64 z (.f64 z 3)))
(fma.f64 y x (.f64 (.f64 z z) 3))
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (.f64 y x) (*.f64 2 (pow.f64 z 2))))
(fma.f64 1 (.f64 z z) (fma.f64 y x (.f64 2 (*.f64 z z))))
(+.f64 (.f64 y x) (.f64 z (*.f64 z 3)))
(fma.f64 z (.f64 z 3) (.f64 y x))
(fma.f64 y x (.f64 z (.f64 z 3)))
(fma.f64 y x (.f64 (.f64 z z) 3))
(*.f64 y x)
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (.f64 y x) (*.f64 2 (pow.f64 z 2))))
(fma.f64 1 (.f64 z z) (fma.f64 y x (.f64 2 (*.f64 z z))))
(+.f64 (.f64 y x) (.f64 z (*.f64 z 3)))
(fma.f64 z (.f64 z 3) (.f64 y x))
(fma.f64 y x (.f64 z (.f64 z 3)))
(fma.f64 y x (.f64 (.f64 z z) 3))
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (.f64 y x) (*.f64 2 (pow.f64 z 2))))
(fma.f64 1 (.f64 z z) (fma.f64 y x (.f64 2 (*.f64 z z))))
(+.f64 (.f64 y x) (.f64 z (*.f64 z 3)))
(fma.f64 z (.f64 z 3) (.f64 y x))
(fma.f64 y x (.f64 z (.f64 z 3)))
(fma.f64 y x (.f64 (.f64 z z) 3))
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (.f64 y x) (*.f64 2 (pow.f64 z 2))))
(fma.f64 1 (.f64 z z) (fma.f64 y x (.f64 2 (*.f64 z z))))
(+.f64 (.f64 y x) (.f64 z (*.f64 z 3)))
(fma.f64 z (.f64 z 3) (.f64 y x))
(fma.f64 y x (.f64 z (.f64 z 3)))
(fma.f64 y x (.f64 (.f64 z z) 3))
(*.f64 y x)
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (.f64 y x) (*.f64 2 (pow.f64 z 2))))
(fma.f64 1 (.f64 z z) (fma.f64 y x (.f64 2 (*.f64 z z))))
(+.f64 (.f64 y x) (.f64 z (*.f64 z 3)))
(fma.f64 z (.f64 z 3) (.f64 y x))
(fma.f64 y x (.f64 z (.f64 z 3)))
(fma.f64 y x (.f64 (.f64 z z) 3))
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (.f64 y x) (*.f64 2 (pow.f64 z 2))))
(fma.f64 1 (.f64 z z) (fma.f64 y x (.f64 2 (*.f64 z z))))
(+.f64 (.f64 y x) (.f64 z (*.f64 z 3)))
(fma.f64 z (.f64 z 3) (.f64 y x))
(fma.f64 y x (.f64 z (.f64 z 3)))
(fma.f64 y x (.f64 (.f64 z z) 3))
(+.f64 (.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (.f64 y x) (*.f64 2 (pow.f64 z 2))))
(fma.f64 1 (.f64 z z) (fma.f64 y x (.f64 2 (*.f64 z z))))
(+.f64 (.f64 y x) (.f64 z (*.f64 z 3)))
(fma.f64 z (.f64 z 3) (.f64 y x))
(fma.f64 y x (.f64 z (.f64 z 3)))
(fma.f64 y x (.f64 (.f64 z z) 3))

localize19.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (*.f64 z (sqrt.f64 3)) 2)
✓	0.4b	(*.f64 z (sqrt.f64 3))

Compiler

Compiled 18 to 15 computations (16.7% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(*.f64 z (sqrt.f64 3))
1.0ms	z	@	-inf	(pow.f64 (*.f64 z (sqrt.f64 3)) 2)
1.0ms	z	@	0	(pow.f64 (*.f64 z (sqrt.f64 3)) 2)
1.0ms	z	@	inf	(*.f64 z (sqrt.f64 3))
0.0ms	z	@	-inf	(*.f64 z (sqrt.f64 3))

rewrite58.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

550×	`pow1_binary64`
511×	`add-log-exp_binary64`
510×	`log1p-expm1-u_binary64`
510×	`expm1-log1p-u_binary64`
498×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	147	13
2	1536	13

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

Inputs
(*.f64 z (sqrt.f64 3))
(pow.f64 (*.f64 z (sqrt.f64 3)) 2)

Outputs

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

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

simplify196.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

834×	`sqr-pow_binary64`
691×	`cube-prod_binary64`
682×	`fabs-mul_binary64`
635×	`associate-l_binary64`
573×	`pow-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	216
1	19	156
2	38	156
3	93	156
4	383	156
5	2082	156
6	2195	156
7	2404	156
8	2600	156
9	2829	156
10	3136	156
11	3768	156
12	4243	156
13	4872	156
14	5586	156
15	6511	156
16	7021	156
17	7405	156
18	7777	156
19	7869	156
20	7899	156

Stop Event

1×	node limit

Counts

59 → 37

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))

Outputs
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (sqrt.f64 3) z)
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 z z))
(.f64 z (.f64 z 3))
(.f64 3 (.f64 z z))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 z z))
(.f64 z (.f64 z 3))
(.f64 3 (.f64 z z))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 z z))
(.f64 z (.f64 z 3))
(.f64 3 (.f64 z z))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 z z))
(.f64 z (.f64 z 3))
(.f64 3 (.f64 z z))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 z z))
(.f64 z (.f64 z 3))
(.f64 3 (.f64 z z))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 z z))
(.f64 z (.f64 z 3))
(.f64 3 (.f64 z z))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 z z))
(.f64 z (.f64 z 3))
(.f64 3 (.f64 z z))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 z z))
(.f64 z (.f64 z 3))
(.f64 3 (.f64 z z))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 z z))
(.f64 z (.f64 z 3))
(.f64 3 (.f64 z z))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 z z))
(.f64 z (.f64 z 3))
(.f64 3 (.f64 z z))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 z z))
(.f64 z (.f64 z 3))
(.f64 3 (.f64 z z))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 z z))
(.f64 z (.f64 z 3))
(.f64 3 (.f64 z z))

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 z (+.f64 z z) (*.f64 z z))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite55.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

491×	`pow1_binary64`
471×	`add-sqr-sqrt_binary64`
460×	`add-log-exp_binary64`
459×	`log1p-expm1-u_binary64`
459×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	108	10
2	1585	10

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 z (+.f64 z z) (*.f64 z z))

Outputs

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

simplify179.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
617×	`cube-prod_binary64`
556×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
446×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	104	84
5	318	84
6	1268	84
7	2140	84
8	2304	84
9	2488	84
10	2696	84
11	2991	84
12	3382	84
13	3863	84
14	4431	84
15	5123	84
16	5958	84
17	6350	84
18	6640	84
19	6918	84
20	6988	84
21	7024	84
22	7965	84

Stop Event

1×	node limit

Counts

33 → 23

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))

Outputs
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 3 (pow.f64 z 2))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))

eval62.0ms (1.1%)

Compiler: Compiled 4866 to 1533 computations (68.5% saved)

prune45.0ms (0.8%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	260	1	261
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	260	8	268

Error

Counts

268 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	36.2b	(.f64 (.f64 (*.f64 z (sqrt.f64 3)) (sqrt.f64 3)) z)
✓	36.1b	(.f64 z (.f64 z 3))
✓	0.2b	(+.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) z) (.f64 x y)) (.f64 z z)) (.f64 z z))
✓	36.0b	(fma.f64 z (+.f64 z z) (*.f64 z z))
✓	23.6b	(*.f64 y x)
✓	0.1b	(+.f64 (.f64 z (.f64 z 3)) (*.f64 x y))
✓	36.1b	(.f64 3 (.f64 z z))
✓	36.2b	(pow.f64 (*.f64 z (sqrt.f64 3)) 2)

Compiler

Compiled 89 to 60 computations (32.6% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (*.f64 z (sqrt.f64 3)) (sqrt.f64 3)) z)
	0.4b	(*.f64 z (sqrt.f64 3))
✓	0.5b	(.f64 (.f64 z (sqrt.f64 3)) (sqrt.f64 3))

Compiler

Compiled 27 to 22 computations (18.5% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(.f64 (.f64 z (sqrt.f64 3)) (sqrt.f64 3))
1.0ms	z	@	-inf	(.f64 (.f64 z (sqrt.f64 3)) (sqrt.f64 3))
1.0ms	z	@	inf	(.f64 (.f64 z (sqrt.f64 3)) (sqrt.f64 3))
0.0ms	z	@	0	(.f64 (.f64 (*.f64 z (sqrt.f64 3)) (sqrt.f64 3)) z)
0.0ms	z	@	inf	(.f64 (.f64 (*.f64 z (sqrt.f64 3)) (sqrt.f64 3)) z)

rewrite58.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

599×	`pow1_binary64`
554×	`add-log-exp_binary64`
554×	`log1p-expm1-u_binary64`
554×	`expm1-log1p-u_binary64`
542×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	143	11
2	1598	11

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(.f64 (.f64 z (sqrt.f64 3)) (sqrt.f64 3))
(.f64 (.f64 (*.f64 z (sqrt.f64 3)) (sqrt.f64 3)) z)

Outputs

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

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

simplify143.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

834×	`sqr-pow_binary64`
757×	`associate-l_binary64`
660×	`cube-prod_binary64`
582×	`fabs-mul_binary64`
542×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	252
1	19	132
2	41	132
3	105	132
4	438	132
5	2497	132
6	2606	132
7	2815	132
8	3011	132
9	3242	132
10	3549	132
11	4164	132
12	4641	132
13	5271	132
14	5981	132
15	6908	132
16	7422	132
17	7814	132

Stop Event

1×	node limit

Counts

46 → 26

Calls

Call 1

Inputs
(*.f64 (pow.f64 (sqrt.f64 3) 2) z)
(*.f64 (pow.f64 (sqrt.f64 3) 2) z)
(*.f64 (pow.f64 (sqrt.f64 3) 2) z)
(*.f64 (pow.f64 (sqrt.f64 3) 2) z)
(*.f64 (pow.f64 (sqrt.f64 3) 2) z)
(*.f64 (pow.f64 (sqrt.f64 3) 2) z)
(*.f64 (pow.f64 (sqrt.f64 3) 2) z)
(*.f64 (pow.f64 (sqrt.f64 3) 2) z)
(*.f64 (pow.f64 (sqrt.f64 3) 2) z)
(*.f64 (pow.f64 (sqrt.f64 3) 2) z)
(*.f64 (pow.f64 (sqrt.f64 3) 2) z)
(*.f64 (pow.f64 (sqrt.f64 3) 2) z)
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))

Outputs
(*.f64 (pow.f64 (sqrt.f64 3) 2) z)
(*.f64 3 z)
(*.f64 (pow.f64 (sqrt.f64 3) 2) z)
(*.f64 3 z)
(*.f64 (pow.f64 (sqrt.f64 3) 2) z)
(*.f64 3 z)
(*.f64 (pow.f64 (sqrt.f64 3) 2) z)
(*.f64 3 z)
(*.f64 (pow.f64 (sqrt.f64 3) 2) z)
(*.f64 3 z)
(*.f64 (pow.f64 (sqrt.f64 3) 2) z)
(*.f64 3 z)
(*.f64 (pow.f64 (sqrt.f64 3) 2) z)
(*.f64 3 z)
(*.f64 (pow.f64 (sqrt.f64 3) 2) z)
(*.f64 3 z)
(*.f64 (pow.f64 (sqrt.f64 3) 2) z)
(*.f64 3 z)
(*.f64 (pow.f64 (sqrt.f64 3) 2) z)
(*.f64 3 z)
(*.f64 (pow.f64 (sqrt.f64 3) 2) z)
(*.f64 3 z)
(*.f64 (pow.f64 (sqrt.f64 3) 2) z)
(*.f64 3 z)
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 z z))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 z z))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 z z))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 z z))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 z z))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 z z))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 z z))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 z z))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 z z))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 z z))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 z z))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 z 2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 z z))
(.f64 3 (.f64 z z))
(.f64 z (.f64 3 z))

eval9.0ms (0.2%)

Compiler: Compiled 356 to 262 computations (26.4% saved)

prune10.0ms (0.2%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	40	8	48

Error

Counts

48 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	36.2b	(.f64 (.f64 (*.f64 z (sqrt.f64 3)) (sqrt.f64 3)) z)
✓	36.1b	(.f64 z (.f64 z 3))
✓	0.2b	(+.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) z) (.f64 x y)) (.f64 z z)) (.f64 z z))
✓	36.0b	(fma.f64 z (+.f64 z z) (*.f64 z z))
✓	23.6b	(*.f64 y x)
✓	0.1b	(+.f64 (.f64 z (.f64 z 3)) (*.f64 x y))
✓	36.1b	(.f64 3 (.f64 z z))
✓	36.2b	(pow.f64 (*.f64 z (sqrt.f64 3)) 2)

Compiler

Compiled 89 to 60 computations (32.6% saved)

regimes57.0ms (1%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

8 calls:

8.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
8.0ms	y
7.0ms	x
7.0ms	z
6.0ms	(*.f64 x y)

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
0.0b	1	`(*.f64 x y)`
0.0b	1	`(*.f64 x y)`
0.0b	1	`(*.f64 z z)`
0.0b	1	`(*.f64 z z)`

Compiler

Compiled 167 to 83 computations (50.3% saved)

regimes43.0ms (0.8%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

7 calls:

7.0ms	x
7.0ms	z
6.0ms	y
6.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
6.0ms	(*.f64 x y)

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`
0.1b	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
0.1b	1	`(*.f64 x y)`
0.1b	1	`(*.f64 z z)`
0.1b	1	`(*.f64 z z)`

Compiler

Compiled 119 to 64 computations (46.2% saved)

regimes69.0ms (1.2%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

5 calls:

28.0ms	x
13.0ms	y
10.0ms	z
7.0ms	(*.f64 z z)
7.0ms	(*.f64 z z)

Results

Error	Segments	Branch
15.9b	9	`x`
17.1b	3	`y`
9.0b	3	`z`
9.8b	2	`(*.f64 z z)`
9.8b	2	`(*.f64 z z)`

Compiler

Compiled 40 to 27 computations (32.5% saved)

bsearch37.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	7473805.325304773	126459433446236100.0
18.0ms	-6.819898332061482e-21	-9.440886641483124e-32

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes47.0ms (0.8%)

Accuracy

Total -49.9b remaining (-552.7%)

Threshold costs -49.9b (-552.7%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	x
12.0ms	y
9.0ms	z

Results

Error	Segments	Branch
15.9b	9	`x`
17.1b	3	`y`
9.0b	3	`z`

Compiler

Compiled 23 to 16 computations (30.4% saved)

bsearch38.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	7473805.325304773	126459433446236100.0
18.0ms	-6.819898332061482e-21	-9.440886641483124e-32

Compiler

Compiled 24 to 13 computations (45.8% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	92
1	28	92

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 z (+.f64 z z) (fma.f64 x y (*.f64 z z)))
(+.f64 (.f64 z (.f64 z 3)) (*.f64 x y))
(if (<=.f64 z -2320691146594041344/340282366920938463463374607431768211456) (.f64 3 (.f64 z z)) (if (<=.f64 z 32099749448854640/4294967296) (.f64 y x) (.f64 z (*.f64 z 3))))
(if (<=.f64 z -2320691146594041344/340282366920938463463374607431768211456) (.f64 z (.f64 z 3)) (if (<=.f64 z 32099749448854640/4294967296) (.f64 y x) (.f64 z (*.f64 z 3))))
(*.f64 y x)

Outputs
(fma.f64 z (+.f64 z z) (fma.f64 x y (*.f64 z z)))
(+.f64 (.f64 z (.f64 z 3)) (*.f64 x y))
(if (<=.f64 z -2320691146594041344/340282366920938463463374607431768211456) (.f64 3 (.f64 z z)) (if (<=.f64 z 32099749448854640/4294967296) (.f64 y x) (.f64 z (*.f64 z 3))))
(if (<=.f64 z -4532599895691487/664613997892457936451903530140172288) (.f64 (.f64 z z) 3) (if (<=.f64 z 2006234340553415/268435456) (.f64 x y) (.f64 z (*.f64 z 3))))
(if (<=.f64 z -2320691146594041344/340282366920938463463374607431768211456) (.f64 z (.f64 z 3)) (if (<=.f64 z 32099749448854640/4294967296) (.f64 y x) (.f64 z (*.f64 z 3))))
(if (<=.f64 z -4532599895691487/664613997892457936451903530140172288) (.f64 z (.f64 z 3)) (if (<=.f64 z 2006234340553415/268435456) (.f64 x y) (.f64 z (*.f64 z 3))))
(*.f64 y x)
(*.f64 x y)

Compiler

Compiled 80 to 51 computations (36.3% saved)

soundness0.0ms (0%)

end40.0ms (0.7%)

Remove: (sort x y)
Compiler: Compiled 96 to 49 computations (49% saved)

Details

analyze187.0ms (3.3%)

sample1.6s (28.2%)

preprocess53.0ms (0.9%)

simplify14.0ms (0.3%)

eval1.0ms (0%)

prune3.0ms (0%)

localize22.0ms (0.4%)

series17.0ms (0.3%)

rewrite193.0ms (3.4%)

simplify321.0ms (5.7%)

localize10.0ms (0.2%)

series5.0ms (0.1%)

rewrite74.0ms (1.3%)

simplify185.0ms (3.3%)

eval103.0ms (1.8%)

prune62.0ms (1.1%)

localize11.0ms (0.2%)

series8.0ms (0.1%)

rewrite283.0ms (5%)

simplify407.0ms (7.2%)

localize4.0ms (0.1%)

localize5.0ms (0.1%)

series2.0ms (0%)

rewrite48.0ms (0.8%)

simplify181.0ms (3.2%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite48.0ms (0.8%)

simplify180.0ms (3.2%)

localize14.0ms (0.3%)

eval24.0ms (0.4%)

prune16.0ms (0.3%)

localize31.0ms (0.6%)

series15.0ms (0.3%)

rewrite111.0ms (2%)

simplify216.0ms (3.8%)

localize19.0ms (0.3%)

series3.0ms (0.1%)

rewrite58.0ms (1%)

simplify196.0ms (3.5%)

localize9.0ms (0.2%)

series2.0ms (0%)

rewrite55.0ms (1%)

simplify179.0ms (3.2%)

eval62.0ms (1.1%)

prune45.0ms (0.8%)

localize13.0ms (0.2%)

series3.0ms (0.1%)

rewrite58.0ms (1%)

simplify143.0ms (2.5%)

eval9.0ms (0.2%)

prune10.0ms (0.2%)

regimes57.0ms (1%)

regimes43.0ms (0.8%)

regimes69.0ms (1.2%)

bsearch37.0ms (0.7%)

regimes47.0ms (0.8%)

bsearch38.0ms (0.7%)

simplify7.0ms (0.1%)

soundness0.0ms (0%)

end40.0ms (0.7%)

Profiling