Details

analyze563.0ms (19.3%)

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
28.1%	71.8%	0.1%	9
32.8%	56.2%	11.1%	10
38.2%	49.9%	11.8%	11
46.4%	41.7%	11.8%	12
50.5%	31.8%	17.7%	13
54.1%	27.6%	18.3%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample952.0ms (32.6%)

Results

871.0ms	8256×	body	128	valid
69.0ms	722×	body	128	invalid

preprocess19.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

16×	`fma-def_binary64`
7×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`associate-r_binary64`
4×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	34	32
2	50	32
3	54	32
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 10 to 6 computations (40% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`associate-r_binary64`
1×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	12	8
2	16	8
3	17	8

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 16 to 8 computations (50% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
	6.5b	(fma.f64 y (*.f64 z z) x)
▶	0.1b	(+.f64 x (.f64 (.f64 y z) z))

Compiler

Compiled 38 to 22 computations (42.1% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series7.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

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

rewrite46.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

823×	`pow1_binary64`
762×	`log1p-expm1-u_binary64`
762×	`expm1-log1p-u_binary64`
79×	`add-sqr-sqrt_binary64`
78×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	149	15
2	2066	15

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

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

Outputs

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

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

simplify82.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	423
1	16	423
2	28	423
3	52	423
4	118	423
5	329	423
6	1249	423
7	2149	423
8	2313	423
9	2497	423
10	2705	423
11	2999	423
12	3390	423
13	3870	423
14	4431	423

Stop Event

1×	node limit

Counts

111 → 55

Calls

Call 1

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

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

eval12.0ms (0.4%)

Compiler: Compiled 692 to 206 computations (70.2% saved)

prune51.0ms (1.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	51	4	55
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	51	6	57

Error

0.0b

Counts

57 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	43.7b	(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (.f64 z z)) 3)) (fma.f64 x x (.f64 (.f64 y (.f64 z z)) (-.f64 (.f64 y (*.f64 z z)) x))))
	16.7b	(+.f64 x (cbrt.f64 (pow.f64 (.f64 y (.f64 z z)) 3)))
	30.8b	(+.f64 x (pow.f64 (*.f64 (sqrt.f64 y) z) 2))
▶	6.5b	(fma.f64 y (*.f64 z z) x)
✓	0.1b	(+.f64 x (.f64 (.f64 y z) z))
	6.8b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 z z))) 2) (cbrt.f64 (.f64 y (.f64 z z))) x)

Compiler

Compiled 176 to 96 computations (45.5% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.1b	(fma.f64 y (*.f64 z z) x)

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite28.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

542×	`pow1_binary64`
496×	`add-log-exp_binary64`
496×	`log1p-expm1-u_binary64`
496×	`expm1-log1p-u_binary64`
482×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	118	8
2	1385	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify62.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	255
1	16	255
2	28	255
3	52	255
4	115	255
5	338	255
6	1253	255
7	2150	255
8	2314	255
9	2498	255
10	2706	255
11	2998	255
12	3389	255
13	3867	255
14	4430	255

Stop Event

1×	node limit

Counts

57 → 26

Calls

Call 1

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

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

eval4.0ms (0.1%)

Compiler: Compiled 269 to 73 computations (72.9% saved)

prune20.0ms (0.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	26	6	32

Error

0.0b

Counts

32 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	43.7b	(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (.f64 z z)) 3)) (fma.f64 x x (.f64 (.f64 y (.f64 z z)) (-.f64 (.f64 y (*.f64 z z)) x))))
	16.7b	(+.f64 x (cbrt.f64 (pow.f64 (.f64 y (.f64 z z)) 3)))
	30.8b	(+.f64 x (pow.f64 (*.f64 (sqrt.f64 y) z) 2))
✓	6.5b	(fma.f64 y (*.f64 z z) x)
✓	0.1b	(+.f64 x (.f64 (.f64 y z) z))
▶	6.8b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 z z))) 2) (cbrt.f64 (.f64 y (.f64 z z))) x)

Compiler

Compiled 167 to 91 computations (45.5% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 z z))) 2) (cbrt.f64 (.f64 y (.f64 z z))) x)
✓	0.4b	(pow.f64 (cbrt.f64 (.f64 y (.f64 z z))) 2)
✓	11.3b	(.f64 y (.f64 z z))
✓	21.1b	(cbrt.f64 (.f64 y (.f64 z z)))

series19.0ms (0.7%)

Counts

4 → 42

Calls

27 calls:

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

rewrite50.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

840×	`pow1_binary64`
772×	`log1p-expm1-u_binary64`
772×	`expm1-log1p-u_binary64`
96×	`add-sqr-sqrt_binary64`
93×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	202	36
2	2237	36

Stop Event

1×	node limit

Counts

4 → 85

Calls

Call 1

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

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

simplify64.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	255
1	16	255
2	28	255
3	52	255
4	118	255
5	329	255
6	1249	255
7	2149	255
8	2313	255
9	2497	255
10	2705	255
11	2999	255
12	3390	255
13	3870	255
14	4431	255

Stop Event

1×	node limit

Counts

127 → 90

Calls

Call 1

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

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

eval42.0ms (1.4%)

Compiler: Compiled 2407 to 699 computations (71% saved)

prune287.0ms (9.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	131	3	134
Fresh	2	1	3
Picked	1	0	1
Done	0	2	2
Total	134	6	140

Error

0.0b

Counts

140 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	30.8b	(+.f64 x (pow.f64 (*.f64 (sqrt.f64 y) z) 2))
✓	6.5b	(fma.f64 y (*.f64 z z) x)
✓	0.1b	(+.f64 x (.f64 (.f64 y z) z))
▶	6.8b	(fma.f64 (.f64 (cbrt.f64 y) (.f64 (cbrt.f64 (.f64 z z)) (cbrt.f64 (.f64 y (.f64 z z))))) (cbrt.f64 (.f64 y (*.f64 z z))) x)
	7.0b	(fma.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 z z)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 z z)))) 2)) 2) (cbrt.f64 (.f64 y (*.f64 z z))) x)
	6.9b	(fma.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 z z)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 z z)))) (cbrt.f64 (.f64 y (.f64 z z))))) (cbrt.f64 (.f64 y (.f64 z z))) x)

Compiler

Compiled 221 to 99 computations (55.2% saved)

localize17.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.1b	(.f64 (cbrt.f64 y) (.f64 (cbrt.f64 (.f64 z z)) (cbrt.f64 (.f64 y (*.f64 z z)))))
	11.3b	(.f64 y (.f64 z z))
	21.1b	(cbrt.f64 (.f64 y (.f64 z z)))
✓	27.7b	(cbrt.f64 (*.f64 z z))

series5.0ms (0.2%)

Counts

2 → 0

Calls

9 calls:

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

rewrite48.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

826×	`pow1_binary64`
761×	`log1p-expm1-u_binary64`
761×	`expm1-log1p-u_binary64`
111×	`associate-r_binary64`
91×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	197	18
2	2266	18

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 z z))
(.f64 (cbrt.f64 y) (.f64 (cbrt.f64 (.f64 z z)) (cbrt.f64 (.f64 y (*.f64 z z)))))

Outputs

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

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

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

35 → 35

Calls

Call 1

Inputs

Outputs

eval35.0ms (1.2%)

Compiler: Compiled 3005 to 659 computations (78.1% saved)

prune405.0ms (13.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	123	6	129

Error

0.0b

Counts

129 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	30.8b	(+.f64 x (pow.f64 (*.f64 (sqrt.f64 y) z) 2))
✓	6.5b	(fma.f64 y (*.f64 z z) x)
✓	0.1b	(+.f64 x (.f64 (.f64 y z) z))
✓	6.8b	(fma.f64 (.f64 (cbrt.f64 y) (.f64 (cbrt.f64 (.f64 z z)) (cbrt.f64 (.f64 y (.f64 z z))))) (cbrt.f64 (.f64 y (*.f64 z z))) x)
	6.7b	(fma.f64 (.f64 (cbrt.f64 y) (.f64 (sqrt.f64 (.f64 z (cbrt.f64 z))) (cbrt.f64 (.f64 y (.f64 z z))))) (cbrt.f64 (.f64 y (*.f64 z z))) x)
	7.0b	(fma.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 z z)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 z z)))) 2)) 2) (cbrt.f64 (.f64 y (*.f64 z z))) x)

Compiler

Compiled 111 to 56 computations (49.5% saved)

regimes41.0ms (1.4%)

Accuracy

Total -52.8b remaining (-48247.2%)

Threshold costs -52.8b (-48247.2%)

Counts

10 → 1

Calls

Call 1

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

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

Results

Time	Error	Segments	Branch
10.0ms	0.1b	1	`x`
6.0ms	0.1b	1	`y`
6.0ms	0.1b	1	`z`
9.0ms	0.1b	1	`(+.f64 x (.f64 (.f64 y z) z))`
5.0ms	0.1b	1	`(.f64 (.f64 y z) z)`

Compiler

Compiled 212 to 74 computations (65.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	10	10

Stop Event

1×

saturated

Calls

Call 1

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

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

end24.0ms (0.8%)

Stop Event

1×

fuel

Compiler

Compiled 20 to 12 computations (40% saved)

Details

analyze563.0ms (19.3%)

sample952.0ms (32.6%)

preprocess19.0ms (0.7%)

simplify6.0ms (0.2%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

series7.0ms (0.2%)

rewrite46.0ms (1.6%)

simplify82.0ms (2.8%)

eval12.0ms (0.4%)

prune51.0ms (1.8%)

localize4.0ms (0.1%)

series3.0ms (0.1%)

rewrite28.0ms (1%)

simplify62.0ms (2.1%)

eval4.0ms (0.1%)

prune20.0ms (0.7%)

localize8.0ms (0.3%)

series19.0ms (0.7%)

rewrite50.0ms (1.7%)

simplify64.0ms (2.2%)

eval42.0ms (1.4%)

prune287.0ms (9.8%)

localize17.0ms (0.6%)

series5.0ms (0.2%)

rewrite48.0ms (1.7%)

simplify6.0ms (0.2%)

eval35.0ms (1.2%)

prune405.0ms (13.9%)

regimes41.0ms (1.4%)

simplify2.0ms (0.1%)

end24.0ms (0.8%)

Profiling