Details

analyze160.0ms (3.5%)

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample924.0ms (20%)

Results

778.0ms	8256×	body	256	valid
134.0ms	1511×	body	256	invalid

preprocess14.0ms (0.3%)

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 13 to 9 computations (30.8% saved)

simplify5.0ms (0.1%)

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)

eval0.0ms (0%)

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

prune1.0ms (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

0.0b

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 19 to 11 computations (42.1% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series6.0ms (0.1%)

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	y	@	-inf	(.f64 (.f64 y z) z)

rewrite40.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

823×	`pow1_binary64`
762×	`add-log-exp_binary64`
762×	`log1p-expm1-u_binary64`
762×	`expm1-log1p-u_binary64`
745×	`add-exp-log_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 → 47

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

Outputs

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

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

simplify145.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1104×	`sqr-pow_binary64`
618×	`cube-prod_binary64`
550×	`fabs-mul_binary64`
536×	`pow-sqr_binary64`
449×	`associate-l_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
15	5117	423
16	5952	423
17	6342	423
18	6630	423
19	6904	423
20	6976	423
21	7010	423
22	7951	423

Stop Event

1×	node limit

Counts

107 → 51

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)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	6.2b	(fma.f64 y (*.f64 z z) x)
✓	6.2b	(fma.f64 y (*.f64 z z) x)

Compiler

Compiled 15 to 5 computations (66.7% saved)

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)

rewrite31.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

542×	`pow1_binary64`
516×	`add-sqr-sqrt_binary64`
496×	`add-log-exp_binary64`
496×	`log1p-expm1-u_binary64`
496×	`expm1-log1p-u_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 log1p.f64 (expm1.f64 (fma.f64 y (.f64 z 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 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 log1p.f64 (expm1.f64 (fma.f64 y (*.f64 z 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 expm1.f64 (log1p.f64 (fma.f64 y (*.f64 z z) x)))))))

simplify133.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1105×	`sqr-pow_binary64`
618×	`cube-prod_binary64`
549×	`fabs-mul_binary64`
536×	`pow-sqr_binary64`
441×	`associate-l_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
15	5112	255
16	5951	255
17	6343	255
18	6629	255
19	6903	255
20	6975	255
21	7009	255
22	7950	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)

eval12.0ms (0.3%)

Compiler: Compiled 916 to 249 computations (72.8% saved)

prune12.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	72	5	77
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	73	6	79

Error

0.0b

Counts

79 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	44.5b	(.f64 y (.f64 z z))
▶	35.9b	(+.f64 x (pow.f64 (*.f64 (sqrt.f64 y) z) 2))
✓	0.1b	(+.f64 x (.f64 (.f64 y z) z))
▶	42.0b	(/.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))))
▶	0.5b	(+.f64 x (pow.f64 (cbrt.f64 (.f64 z (.f64 y z))) 3))
	23.8b	x

Compiler

Compiled 84 to 47 computations (44% saved)

localize12.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	19.9b	(cbrt.f64 (.f64 z (.f64 y z)))
	0.5b	(pow.f64 (cbrt.f64 (.f64 z (.f64 y z))) 3)
	0.2b	(.f64 z (.f64 y z))
	0.0b	(+.f64 x (pow.f64 (cbrt.f64 (.f64 z (.f64 y z))) 3))
✓	0.0b	(+.f64 x (pow.f64 (cbrt.f64 (.f64 z (.f64 y z))) 3))
✓	0.2b	(.f64 z (.f64 y z))
✓	0.5b	(pow.f64 (cbrt.f64 (.f64 z (.f64 y z))) 3)
✓	19.9b	(cbrt.f64 (.f64 z (.f64 y z)))

Compiler

Compiled 39 to 12 computations (69.2% saved)

series14.0ms (0.3%)

Counts

4 → 42

Calls

27 calls:

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

rewrite62.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

471×	`log-prod_binary64`
409×	`prod-exp_binary64`
347×	`pow-prod-down_binary64`
339×	`exp-prod_binary64`
264×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	218	31
2	2554	31

Stop Event

1×	node limit

Counts

4 → 220

Calls

Call 1

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

Outputs
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((#(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 z (.f64 z y)))) (/.f64 (pow.f64 (.f64 z (.f64 z y)) 2) (-.f64 x (.f64 z (.f64 z y)))))))) (#(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 z (.f64 z y)) 3)) (/.f64 1 (fma.f64 (.f64 z (.f64 z y)) (-.f64 (.f64 z (.f64 z y)) x) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (.f64 z y)) 2)) (/.f64 1 (-.f64 x (.f64 z (.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 z (.f64 z y)) (-.f64 (.f64 z (.f64 z y)) x) (.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 z (.f64 z y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (.f64 z (.f64 z y))) (-.f64 (.f64 x x) (pow.f64 (.f64 z (.f64 z y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 z (.f64 z y)) 3)) (fma.f64 (.f64 z (.f64 z y)) (-.f64 (.f64 z (.f64 z y)) x) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 z (.f64 z y)) 3)) (+.f64 (pow.f64 (.f64 z (.f64 z y)) 2) (-.f64 (.f64 x x) (.f64 (.f64 x z) (.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (.f64 z y)) 2)) (-.f64 x (.f64 z (.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 z (.f64 z y)) 3))) (neg.f64 (fma.f64 (.f64 z (.f64 z y)) (-.f64 (.f64 z (.f64 z y)) x) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (.f64 z y)) 2))) (neg.f64 (-.f64 x (.f64 z (.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 z (.f64 z y)) 2) (.f64 x x)) (-.f64 (.f64 z (.f64 z y)) 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) 2) 1/2)))) (#(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 pow.f64 (exp.f64 1) (log.f64 (fma.f64 y (.f64 z z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (.f64 z (.f64 z y)) (-.f64 (.f64 z (.f64 z y)) x) (.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 z (.f64 z y)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (.f64 z (.f64 z y))) (-.f64 (.f64 x x) (pow.f64 (.f64 z (.f64 z y)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 y (.f64 z z) x))) 2)) (cbrt.f64 (log.f64 (fma.f64 y (.f64 z z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 y (.f64 z z) x)))) (sqrt.f64 (log.f64 (fma.f64 y (.f64 z z) x))))))) (#(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 log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (.f64 z y)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 (.f64 z z)) y) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (.f64 z y)))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 (.f64 z z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (.f64 z (.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (.f64 z (.f64 z y))))))))) (#(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 log1p.f64 (expm1.f64 (fma.f64 y (.f64 z 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 exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 y (.f64 z z) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 y (.f64 z z) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 y (.f64 z z) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 y (.f64 z z) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (.f64 z z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (.f64 z y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (.f64 z z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 z y) z x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 z (.f64 z y)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 z (.f64 z y))) (pow.f64 (cbrt.f64 (.f64 z (.f64 z y))) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (.f64 z (.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 z (.f64 z y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (.f64 z (.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 z z) y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 z y))) 2) (cbrt.f64 (.f64 z (.f64 z y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (.f64 (cbrt.f64 (.f64 z y)) (pow.f64 (cbrt.f64 (.f64 z (.f64 z y))) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (.f64 z y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (.f64 z (.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 z (.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (.f64 z y)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 z (.f64 z y)))) (pow.f64 (cbrt.f64 (.f64 z (.f64 z y))) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 z y)) 2) (.f64 (cbrt.f64 (.f64 z y)) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 z (.f64 z y))) (sqrt.f64 (.f64 z (.f64 z y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (.f64 z y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 z (.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (.f64 z (.f64 z y)) 1/6) (pow.f64 (.f64 z (.f64 z y)) 5/6) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 z y)) (.f64 (sqrt.f64 (.f64 z y)) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (.f64 z (.f64 z y)) 5/6) (pow.f64 (.f64 z (.f64 z y)) 1/6) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 z (pow.f64 (cbrt.f64 (.f64 z y)) 2)) (cbrt.f64 (.f64 z y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 z (sqrt.f64 (.f64 z y))) (sqrt.f64 (.f64 z y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 z y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 z y) (sqrt.f64 z)) (sqrt.f64 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 z y))) 2) 1) (cbrt.f64 (.f64 z (.f64 z y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 z y))) 2) (cbrt.f64 z)) (cbrt.f64 (.f64 z y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 z (.f64 z y))) (cbrt.f64 (cbrt.f64 (.f64 z (.f64 z y))))) 2) (cbrt.f64 (cbrt.f64 (.f64 z (.f64 z y)))) x)))))

simplify113.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1121×	`sqr-pow_binary64`
645×	`fabs-mul_binary64`
628×	`pow-sqr_binary64`
613×	`cube-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	282
1	31	255
2	56	255
3	100	255
4	201	255
5	487	255
6	695	255
7	1113	255
8	1217	255
9	1356	255
10	1529	255
11	1774	255
12	2091	255
13	2467	255
14	2930	255
15	3513	255
16	4225	255
17	5093	255
18	5517	255
19	5835	255
20	6147	255
21	6229	255
22	6263	255

Stop Event

1×	node limit

Counts

262 → 190

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

localize25.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	1.6b	(+.f64 (.f64 (.f64 y (.f64 z z)) (.f64 y (.f64 z z))) (-.f64 (.f64 x x) (.f64 (.f64 y (*.f64 z z)) x)))
	1.4b	(-.f64 (.f64 x x) (.f64 (.f64 y (.f64 z z)) x))
	0.2b	(.f64 (.f64 y (.f64 z z)) (.f64 y (*.f64 z z)))
	0.1b	(pow.f64 (.f64 y (.f64 z z)) 3)
✓	2.4b	(+.f64 (pow.f64 (.f64 y (.f64 z z)) 3) (pow.f64 x 3))
✓	3.0b	(.f64 (.f64 y (*.f64 z z)) x)
✓	10.2b	(.f64 y (.f64 z z))
✓	40.3b	(/.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))))

Compiler

Compiled 126 to 26 computations (79.4% saved)

series22.0ms (0.5%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(+.f64 (pow.f64 (.f64 y (.f64 z z)) 3) (pow.f64 x 3))
2.0ms	y	@	-inf	(/.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))))
2.0ms	y	@	inf	(/.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))))
1.0ms	x	@	0	(/.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))))
1.0ms	y	@	0	(/.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))))

rewrite79.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

640×	`fma-neg_binary64`
314×	`expm1-udef_binary64`
314×	`log1p-udef_binary64`
196×	`add-sqr-sqrt_binary64`
194×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	76
1	395	39
2	5907	39

Stop Event

1×	node limit

Counts

4 → 134

Calls

Call 1

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

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

simplify53.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

827×	`fma-neg_binary64`
767×	`fma-def_binary64`
620×	`unswap-sqr_binary64`
548×	`times-frac_binary64`
421×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	1227
1	367	1227
2	1503	1227
3	6845	1227

Stop Event

1×	node limit

Counts

266 → 157

Calls

Call 1

Inputs
x
(+.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (.f64 y (pow.f64 z 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (+.f64 (/.f64 (pow.f64 z 4) x) (.f64 -1 (/.f64 (pow.f64 z 4) x))))) x))
(+.f64 (.f64 y (pow.f64 z 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 z 4) x) (.f64 -1 (/.f64 (pow.f64 z 4) x))) (.f64 (pow.f64 y 3) (pow.f64 z 2))) x)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (+.f64 (/.f64 (pow.f64 z 4) x) (.f64 -1 (/.f64 (pow.f64 z 4) x))))) x)))
(*.f64 y (pow.f64 z 2))
(+.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (.f64 y (pow.f64 z 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) (/.f64 (pow.f64 x 2) (pow.f64 z 2))) y)) x))
(+.f64 (.f64 -1 (/.f64 (.f64 x (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) (/.f64 (pow.f64 x 2) (pow.f64 z 2)))) (.f64 (pow.f64 y 2) (pow.f64 z 2)))) (+.f64 (.f64 y (pow.f64 z 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) (/.f64 (pow.f64 x 2) (pow.f64 z 2))) y)) x)))
(*.f64 y (pow.f64 z 2))
(+.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (.f64 y (pow.f64 z 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 y (pow.f64 z 2)))) (+.f64 (/.f64 (pow.f64 x 2) (.f64 y (pow.f64 z 2))) x)))
(+.f64 (.f64 y (pow.f64 z 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (.f64 y (pow.f64 z 2)))) (+.f64 (/.f64 (.f64 x (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 2))) (/.f64 (pow.f64 x 2) (pow.f64 z 2)))) (.f64 (pow.f64 y 2) (pow.f64 z 2))) (+.f64 (/.f64 (pow.f64 x 2) (*.f64 y (pow.f64 z 2))) x))))
x
(+.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (.f64 y (pow.f64 z 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (pow.f64 y 2) x) (.f64 -1 (/.f64 (pow.f64 y 2) x))) (pow.f64 z 4))) x))
(+.f64 (.f64 y (pow.f64 z 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 y 2) x) (.f64 -1 (/.f64 (pow.f64 y 2) x))) (.f64 y (pow.f64 z 6))) x)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (pow.f64 y 2) x) (.f64 -1 (/.f64 (pow.f64 y 2) x))) (pow.f64 z 4))) x)))
(*.f64 y (pow.f64 z 2))
(+.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y)) (pow.f64 z 2))) (+.f64 (*.f64 y (pow.f64 z 2)) x))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y)) (pow.f64 z 2))) (+.f64 (.f64 y (pow.f64 z 2)) (+.f64 x (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y)) x) (*.f64 y (pow.f64 z 4)))))))
(*.f64 y (pow.f64 z 2))
(+.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y)) (pow.f64 z 2))) (+.f64 (*.f64 y (pow.f64 z 2)) x))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y)) (pow.f64 z 2))) (+.f64 (.f64 y (pow.f64 z 2)) (+.f64 x (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y)) x) (*.f64 y (pow.f64 z 4)))))))
(*.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)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 z 4))) (*.f64 (pow.f64 y 2) (pow.f64 z 4))) x)) x))
(+.f64 (.f64 y (pow.f64 z 2)) (+.f64 (.f64 -1 (/.f64 (.f64 y (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 z 4))) (.f64 (pow.f64 y 2) (pow.f64 z 4))) (pow.f64 z 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 z 4))) (*.f64 (pow.f64 y 2) (pow.f64 z 4))) x)) x)))
x
(+.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (.f64 y (pow.f64 z 2)) (+.f64 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 4)) x) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 4)) x)) x)))
(+.f64 (.f64 y (pow.f64 z 2)) (+.f64 (/.f64 (.f64 y (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 z 4))) (.f64 (pow.f64 y 2) (pow.f64 z 4))) (pow.f64 z 2))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 z 4)) x) (+.f64 (.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 4)) x)) x))))
(*.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 (.f64 (pow.f64 z 2) x))
(.f64 y (.f64 (pow.f64 z 2) x))
(.f64 y (.f64 (pow.f64 z 2) x))
(.f64 y (.f64 (pow.f64 z 2) x))
(.f64 y (.f64 (pow.f64 z 2) x))
(.f64 y (.f64 (pow.f64 z 2) x))
(.f64 y (.f64 (pow.f64 z 2) x))
(.f64 y (.f64 (pow.f64 z 2) x))
(.f64 y (.f64 (pow.f64 z 2) x))
(.f64 y (.f64 (pow.f64 z 2) x))
(.f64 y (.f64 (pow.f64 z 2) x))
(.f64 y (.f64 (pow.f64 z 2) x))
(.f64 y (.f64 (pow.f64 z 2) x))
(.f64 y (.f64 (pow.f64 z 2) x))
(.f64 y (.f64 (pow.f64 z 2) x))
(.f64 y (.f64 (pow.f64 z 2) x))
(.f64 y (.f64 (pow.f64 z 2) x))
(.f64 y (.f64 (pow.f64 z 2) x))
(.f64 y (.f64 (pow.f64 z 2) x))
(.f64 y (.f64 (pow.f64 z 2) x))
(.f64 y (.f64 (pow.f64 z 2) x))
(.f64 y (.f64 (pow.f64 z 2) x))
(.f64 y (.f64 (pow.f64 z 2) x))
(.f64 y (.f64 (pow.f64 z 2) x))
(.f64 y (.f64 (pow.f64 z 2) x))
(.f64 y (.f64 (pow.f64 z 2) x))
(.f64 y (.f64 (pow.f64 z 2) x))
(.f64 y (.f64 (pow.f64 z 2) x))
(.f64 y (.f64 (pow.f64 z 2) x))
(.f64 y (.f64 (pow.f64 z 2) x))
(.f64 y (.f64 (pow.f64 z 2) x))
(.f64 y (.f64 (pow.f64 z 2) x))
(.f64 y (.f64 (pow.f64 z 2) x))
(.f64 y (.f64 (pow.f64 z 2) x))
(.f64 y (.f64 (pow.f64 z 2) x))
(.f64 y (.f64 (pow.f64 z 2) x))
(pow.f64 x 3)
(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
(*.f64 (pow.f64 y 3) (pow.f64 z 6))
(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
(*.f64 (pow.f64 y 3) (pow.f64 z 6))
(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
(*.f64 (pow.f64 y 3) (pow.f64 z 6))
(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
(*.f64 (pow.f64 y 3) (pow.f64 z 6))
(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
(*.f64 (pow.f64 y 3) (pow.f64 z 6))
(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))

Outputs
x
(+.f64 (*.f64 y (pow.f64 z 2)) x)
(fma.f64 y (*.f64 z z) x)
(+.f64 (.f64 y (pow.f64 z 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (+.f64 (/.f64 (pow.f64 z 4) x) (.f64 -1 (/.f64 (pow.f64 z 4) x))))) x))
(fma.f64 y (*.f64 z z) x)
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(pow.f64 x 3)
(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
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(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
(fma.f64 (pow.f64 y 3) (pow.f64 z 6) (pow.f64 x 3))
(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
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(*.f64 (pow.f64 y 3) (pow.f64 z 6))
(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
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(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
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(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
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(pow.f64 x 3)
(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
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(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
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(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
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(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
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(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
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(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
(fma.f64 (pow.f64 y 3) (pow.f64 z 6) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
(fma.f64 (pow.f64 y 3) (pow.f64 z 6) (pow.f64 x 3))
(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
(fma.f64 (pow.f64 y 3) (pow.f64 z 6) (pow.f64 x 3))
(+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 6)) (pow.f64 x 3))
(fma.f64 (pow.f64 y 3) (pow.f64 z 6) (pow.f64 x 3))

localize9.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.2b	(pow.f64 (*.f64 (sqrt.f64 y) z) 2)
	0.1b	(*.f64 (sqrt.f64 y) z)
	0.0b	(+.f64 x (pow.f64 (*.f64 (sqrt.f64 y) z) 2))
✓	0.0b	(+.f64 x (pow.f64 (*.f64 (sqrt.f64 y) z) 2))
✓	0.1b	(*.f64 (sqrt.f64 y) z)
✓	0.2b	(pow.f64 (*.f64 (sqrt.f64 y) z) 2)

Compiler

Compiled 27 to 11 computations (59.3% saved)

series11.0ms (0.2%)

Counts

3 → 37

Calls

21 calls:

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

rewrite50.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

927×	`pow1_binary64`
862×	`add-log-exp_binary64`
861×	`log1p-expm1-u_binary64`
861×	`expm1-log1p-u_binary64`
839×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	195	21
2	2463	21

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

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

Outputs

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

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

simplify137.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1104×	`sqr-pow_binary64`
618×	`cube-prod_binary64`
550×	`fabs-mul_binary64`
536×	`pow-sqr_binary64`
449×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	253
1	16	253
2	28	253
3	52	253
4	118	253
5	329	253
6	1249	253
7	2149	253
8	2313	253
9	2497	253
10	2705	253
11	2999	253
12	3390	253
13	3870	253
14	4431	253
15	5117	253
16	5952	253
17	6342	253
18	6630	253
19	6904	253
20	6976	253
21	7010	253
22	7951	253

Stop Event

1×	node limit

Counts

108 → 74

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 (*.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
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 (*.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
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)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	10.2b	(.f64 y (.f64 z z))
	10.2b	(.f64 y (.f64 z z))

Compiler

Compiled 13 to 5 computations (61.5% saved)

rewrite0.0ms (0%)

Counts: 0 → 0

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

eval248.0ms (5.4%)

Compiler: Compiled 10803 to 3543 computations (67.2% saved)

prune177.0ms (3.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	474	7	481
Fresh	1	0	1
Picked	0	1	1
Done	2	2	4
Total	477	10	487

Error

0.0b

Counts

487 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	44.8b	(pow.f64 (cbrt.f64 (.f64 y (.f64 z z))) 3)
	0.5b	(+.f64 x (.f64 (pow.f64 (cbrt.f64 (.f64 z y)) 2) (.f64 (cbrt.f64 (.f64 z y)) z)))
✓	44.5b	(.f64 y (.f64 z z))
✓	0.1b	(+.f64 x (.f64 (.f64 y z) z))
▶	22.6b	(+.f64 x (.f64 (.f64 z (sqrt.f64 (.f64 z y))) (sqrt.f64 (.f64 z y))))
	23.8b	x
▶	36.6b	(+.f64 x (.f64 (.f64 (*.f64 (sqrt.f64 y) z) z) (sqrt.f64 y)))
▶	53.6b	(pow.f64 (*.f64 z (sqrt.f64 y)) 2)
✓	0.5b	(+.f64 x (pow.f64 (cbrt.f64 (.f64 z (.f64 y z))) 3))
▶	0.5b	(+.f64 x (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 z y))) 2) (cbrt.f64 z)) (cbrt.f64 (*.f64 z y))))

Compiler

Compiled 213 to 131 computations (38.5% saved)

localize104.0ms (2.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(.f64 (pow.f64 (cbrt.f64 (.f64 z (*.f64 z y))) 2) (cbrt.f64 z))
	0.2b	(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 z y))) 2) (cbrt.f64 z)) (cbrt.f64 (*.f64 z y)))
	0.2b	(.f64 z (.f64 z y))
	0.0b	(+.f64 x (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 z y))) 2) (cbrt.f64 z)) (cbrt.f64 (*.f64 z y))))
✓	0.5b	(pow.f64 (cbrt.f64 (.f64 z (.f64 z y))) 2)
✓	0.6b	(cbrt.f64 z)
✓	8.8b	(cbrt.f64 (*.f64 z y))
✓	19.9b	(cbrt.f64 (.f64 z (.f64 z y)))

Compiler

Compiled 80 to 23 computations (71.3% saved)

series10.0ms (0.2%)

Counts

4 → 0

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(pow.f64 (cbrt.f64 (.f64 z (.f64 z y))) 2)
1.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (.f64 z (.f64 z y))) 2)
1.0ms	z	@	-inf	(cbrt.f64 (*.f64 z y))
0.0ms	y	@	inf	(pow.f64 (cbrt.f64 (.f64 z (.f64 z y))) 2)
0.0ms	z	@	inf	(pow.f64 (cbrt.f64 (.f64 z (.f64 z y))) 2)

rewrite56.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

803×	`pow1_binary64`
739×	`add-log-exp_binary64`
739×	`log1p-expm1-u_binary64`
739×	`expm1-log1p-u_binary64`
718×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	197	30
2	2143	30

Stop Event

1×	node limit

Counts

4 → 86

Calls

Call 1

Inputs
(cbrt.f64 (.f64 z (.f64 z y)))
(cbrt.f64 (*.f64 z y))
(cbrt.f64 z)
(pow.f64 (cbrt.f64 (.f64 z (.f64 z y))) 2)

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

86 → 86

Calls

Call 1

Inputs

Outputs

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(pow.f64 (*.f64 z (sqrt.f64 y)) 2)
	0.1b	(*.f64 z (sqrt.f64 y))
✓	0.1b	(*.f64 z (sqrt.f64 y))
✓	0.2b	(pow.f64 (*.f64 z (sqrt.f64 y)) 2)

Compiler

Compiled 18 to 8 computations (55.6% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite37.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

584×	`pow1_binary64`
539×	`add-log-exp_binary64`
539×	`log1p-expm1-u_binary64`
539×	`expm1-log1p-u_binary64`
523×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	145	13
2	1598	13

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

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

Outputs

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

simplify128.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1127×	`sqr-pow_binary64`
565×	`cube-prod_binary64`
554×	`fabs-mul_binary64`
541×	`pow-sqr_binary64`
502×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	156
1	15	156
2	26	156
3	51	156
4	125	156
5	361	156
6	1340	156
7	2220	156
8	2384	156
9	2598	156
10	2818	156
11	3116	156
12	3518	156
13	4004	156
14	4563	156
15	5249	156
16	6086	156
17	6476	156
18	6764	156
19	7040	156
20	7110	156
21	7144	156

Stop Event

1×	node limit

Counts

59 → 38

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 (sqrt.f64 y) z)
(*.f64 (sqrt.f64 y) z)
(*.f64 (sqrt.f64 y) z)
(*.f64 (sqrt.f64 y) z)
(*.f64 (sqrt.f64 y) z)
(*.f64 (sqrt.f64 y) z)
(*.f64 (sqrt.f64 y) z)
(*.f64 (sqrt.f64 y) z)
(*.f64 (sqrt.f64 y) z)
(*.f64 (sqrt.f64 y) z)
(*.f64 (sqrt.f64 y) z)
(*.f64 (sqrt.f64 y) z)

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 (sqrt.f64 y) z)
(*.f64 z (sqrt.f64 y))
(*.f64 (sqrt.f64 y) z)
(*.f64 z (sqrt.f64 y))
(*.f64 (sqrt.f64 y) z)
(*.f64 z (sqrt.f64 y))
(*.f64 (sqrt.f64 y) z)
(*.f64 z (sqrt.f64 y))
(*.f64 (sqrt.f64 y) z)
(*.f64 z (sqrt.f64 y))
(*.f64 (sqrt.f64 y) z)
(*.f64 z (sqrt.f64 y))
(*.f64 (sqrt.f64 y) z)
(*.f64 z (sqrt.f64 y))
(*.f64 (sqrt.f64 y) z)
(*.f64 z (sqrt.f64 y))
(*.f64 (sqrt.f64 y) z)
(*.f64 z (sqrt.f64 y))
(*.f64 (sqrt.f64 y) z)
(*.f64 z (sqrt.f64 y))
(*.f64 (sqrt.f64 y) z)
(*.f64 z (sqrt.f64 y))
(*.f64 (sqrt.f64 y) z)
(*.f64 z (sqrt.f64 y))

localize14.0ms (0.3%)

Local error

Found 6 expressions with local error:

New	Error	Program
	19.9b	(cbrt.f64 (.f64 y (.f64 z z)))
	10.2b	(.f64 y (.f64 z z))
	0.5b	(pow.f64 (cbrt.f64 (.f64 y (.f64 z z))) 3)
✓	0.5b	(pow.f64 (cbrt.f64 (.f64 y (.f64 z z))) 3)
	10.2b	(.f64 y (.f64 z z))
✓	19.9b	(cbrt.f64 (.f64 y (.f64 z z)))

Compiler

Compiled 28 to 9 computations (67.9% saved)

series12.0ms (0.3%)

Counts

2 → 0

Calls

12 calls:

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

rewrite43.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`pow1_binary64`
588×	`add-log-exp_binary64`
588×	`log1p-expm1-u_binary64`
588×	`expm1-log1p-u_binary64`
571×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	168	16
2	1709	16

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

57 → 57

Calls

Call 1

Inputs

Outputs

localize9.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	2.3b	(.f64 (.f64 (*.f64 (sqrt.f64 y) z) z) (sqrt.f64 y))
	0.1b	(*.f64 (sqrt.f64 y) z)
	0.1b	(.f64 (.f64 (sqrt.f64 y) z) z)
	0.0b	(+.f64 x (.f64 (.f64 (*.f64 (sqrt.f64 y) z) z) (sqrt.f64 y)))
✓	0.0b	(+.f64 x (.f64 (.f64 (*.f64 (sqrt.f64 y) z) z) (sqrt.f64 y)))
✓	0.1b	(.f64 (.f64 (sqrt.f64 y) z) z)
	0.1b	(*.f64 (sqrt.f64 y) z)
✓	2.3b	(.f64 (.f64 (*.f64 (sqrt.f64 y) z) z) (sqrt.f64 y))

Compiler

Compiled 38 to 8 computations (78.9% saved)

series7.0ms (0.1%)

Counts

3 → 72

Calls

21 calls:

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

rewrite59.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

967×	`pow1_binary64`
895×	`add-log-exp_binary64`
895×	`log1p-expm1-u_binary64`
895×	`expm1-log1p-u_binary64`
97×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	40
1	191	26
2	2521	26

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

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

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

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

simplify67.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

940×	`fma-def_binary64`
381×	`fma-neg_binary64`
341×	`cancel-sign-sub-inv_binary64`
313×	`distribute-rgt-neg-in_binary64`
293×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	531
1	37	531
2	101	531
3	299	531
4	1301	531
5	3036	531
6	5071	531
7	6199	531
8	6585	531
9	7419	531

Stop Event

1×

unsound

Counts

134 → 71

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 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 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 (sqrt.f64 y) (pow.f64 z 2))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(*.f64 (sqrt.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 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2)))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2)))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.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 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 y (.f64 z z))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 y (.f64 z z))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 y (.f64 z z))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.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 (sqrt.f64 y) (pow.f64 z 2))
(.f64 (.f64 z z) (sqrt.f64 y))
(.f64 z (.f64 z (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(.f64 (.f64 z z) (sqrt.f64 y))
(.f64 z (.f64 z (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(.f64 (.f64 z z) (sqrt.f64 y))
(.f64 z (.f64 z (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(.f64 (.f64 z z) (sqrt.f64 y))
(.f64 z (.f64 z (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(.f64 (.f64 z z) (sqrt.f64 y))
(.f64 z (.f64 z (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(.f64 (.f64 z z) (sqrt.f64 y))
(.f64 z (.f64 z (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(.f64 (.f64 z z) (sqrt.f64 y))
(.f64 z (.f64 z (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(.f64 (.f64 z z) (sqrt.f64 y))
(.f64 z (.f64 z (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(.f64 (.f64 z z) (sqrt.f64 y))
(.f64 z (.f64 z (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(.f64 (.f64 z z) (sqrt.f64 y))
(.f64 z (.f64 z (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(.f64 (.f64 z z) (sqrt.f64 y))
(.f64 z (.f64 z (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(.f64 (.f64 z z) (sqrt.f64 y))
(.f64 z (.f64 z (sqrt.f64 y)))
(*.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 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 y (.f64 z z))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2)))) x)
(fma.f64 y (*.f64 z z) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2)))) x)
(fma.f64 y (*.f64 z z) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.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)

localize26.0ms (0.6%)

Local error

Found 8 expressions with local error:

New	Error	Program
	8.1b	(sqrt.f64 (*.f64 z y))
	0.1b	(.f64 (.f64 z (sqrt.f64 (.f64 z y))) (sqrt.f64 (.f64 z y)))
	0.1b	(.f64 z (sqrt.f64 (.f64 z y)))
	0.0b	(+.f64 x (.f64 (.f64 z (sqrt.f64 (.f64 z y))) (sqrt.f64 (.f64 z y))))
✓	0.0b	(+.f64 x (.f64 (.f64 z (sqrt.f64 (.f64 z y))) (sqrt.f64 (.f64 z y))))
✓	0.1b	(.f64 z (sqrt.f64 (.f64 z y)))
✓	0.1b	(.f64 (.f64 z (sqrt.f64 (.f64 z y))) (sqrt.f64 (.f64 z y)))
✓	8.1b	(sqrt.f64 (*.f64 z y))

Compiler

Compiled 43 to 8 computations (81.4% saved)

series12.0ms (0.3%)

Counts

4 → 60

Calls

27 calls:

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

rewrite53.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

969×	`prod-diff_binary64`
519×	`log-prod_binary64`
401×	`pow-prod-down_binary64`
270×	`fma-def_binary64`
249×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	190	30
2	2561	30

Stop Event

1×	node limit

Counts

4 → 132

Calls

Call 1

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

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

simplify66.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

940×	`fma-def_binary64`
381×	`fma-neg_binary64`
341×	`cancel-sign-sub-inv_binary64`
312×	`distribute-rgt-neg-in_binary64`
282×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	423
1	34	423
2	94	423
3	281	423
4	1243	423
5	2964	423
6	4972	423
7	6076	423
8	6455	423
9	7278	423

Stop Event

1×

unsound

Counts

192 → 139

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 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 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 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 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 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2)))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2)))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.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 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2)))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2)))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.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 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 y (.f64 z z))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 y (.f64 z z))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 y (.f64 z z))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.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 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 y (.f64 z z))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 y (.f64 z z))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 y (.f64 z z))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.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 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 y (.f64 z z))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2)))) x)
(fma.f64 y (*.f64 z z) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2)))) x)
(fma.f64 y (*.f64 z z) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.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 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 y (.f64 z z))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2)))) x)
(fma.f64 y (*.f64 z z) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2)))) x)
(fma.f64 y (*.f64 z z) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2)))) x)
(fma.f64 y (*.f64 z z) x)

eval116.0ms (2.5%)

Compiler: Compiled 6741 to 2181 computations (67.6% saved)

prune84.0ms (1.8%)

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	445	5	450
Fresh	2	0	2
Picked	0	1	1
Done	1	6	7
Total	448	12	460

Error

Counts

460 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	44.8b	(pow.f64 (cbrt.f64 (.f64 y (.f64 z z))) 3)
▶	6.5b	(fma.f64 (.f64 z (cbrt.f64 (pow.f64 (.f64 z y) 2))) (cbrt.f64 (*.f64 z y)) x)
✓	44.5b	(.f64 y (.f64 z z))
✓	0.1b	(+.f64 x (.f64 (.f64 y z) z))
✓	22.6b	(+.f64 x (.f64 (.f64 z (sqrt.f64 (.f64 z y))) (sqrt.f64 (.f64 z y))))
	23.8b	x
✓	53.6b	(pow.f64 (*.f64 z (sqrt.f64 y)) 2)
▶	38.9b	(.f64 z (.f64 y z))
✓	0.5b	(+.f64 x (pow.f64 (cbrt.f64 (.f64 z (.f64 y z))) 3))
✓	0.5b	(+.f64 x (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 z y))) 2) (cbrt.f64 z)) (cbrt.f64 (*.f64 z y))))
▶	55.0b	(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (*.f64 z z)))
▶	24.9b	(+.f64 x (.f64 (.f64 z (sqrt.f64 (.f64 z y))) (cbrt.f64 (pow.f64 (.f64 z y) 3/2))))

Compiler

Compiled 147 to 92 computations (37.4% saved)

localize37.0ms (0.8%)

Local error

Found 8 expressions with local error:

New	Error	Program
	3.3b	(pow.f64 (*.f64 z y) 3/2)
	0.1b	(.f64 (.f64 z (sqrt.f64 (.f64 z y))) (cbrt.f64 (pow.f64 (.f64 z y) 3/2)))
	0.1b	(.f64 z (sqrt.f64 (.f64 z y)))
	0.0b	(+.f64 x (.f64 (.f64 z (sqrt.f64 (.f64 z y))) (cbrt.f64 (pow.f64 (.f64 z y) 3/2))))
✓	0.1b	(.f64 (.f64 z (sqrt.f64 (.f64 z y))) (cbrt.f64 (pow.f64 (.f64 z y) 3/2)))
✓	3.3b	(pow.f64 (*.f64 z y) 3/2)
	8.1b	(sqrt.f64 (*.f64 z y))
✓	13.3b	(cbrt.f64 (pow.f64 (*.f64 z y) 3/2))

Compiler

Compiled 59 to 21 computations (64.4% saved)

series243.0ms (5.2%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
116.0ms	y	@	-inf	(pow.f64 (*.f64 z y) 3/2)
51.0ms	z	@	0	(pow.f64 (*.f64 z y) 3/2)
41.0ms	y	@	inf	(pow.f64 (*.f64 z y) 3/2)
11.0ms	z	@	-inf	(pow.f64 (*.f64 z y) 3/2)
10.0ms	y	@	0	(pow.f64 (*.f64 z y) 3/2)

rewrite45.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

853×	`pow1_binary64`
796×	`add-log-exp_binary64`
796×	`log1p-expm1-u_binary64`
796×	`expm1-log1p-u_binary64`
775×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	209	20
2	2469	20

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (*.f64 z y) 3/2))
(pow.f64 (*.f64 z y) 3/2)
(.f64 (.f64 z (sqrt.f64 (.f64 z y))) (cbrt.f64 (pow.f64 (.f64 z y) 3/2)))

Outputs

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

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

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

simplify35.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

576×	`fma-def_binary64`
324×	`unswap-sqr_binary64`
322×	`distribute-rgt-neg-in_binary64`
272×	`associate-l_binary64`
266×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	480
1	129	480
2	338	408
3	941	336
4	3162	336

Stop Event

1×	node limit

Counts

110 → 71

Calls

Call 1

Inputs
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 z) (log.f64 y))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 z) (log.f64 y))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 z) (log.f64 y))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 z) (log.f64 y))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 z) (log.f64 y))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 z) (log.f64 y))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 z) (log.f64 y))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 z) (log.f64 y))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 z) (.f64 -1 (log.f64 (/.f64 1 y))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 z) (.f64 -1 (log.f64 (/.f64 1 y))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 z) (.f64 -1 (log.f64 (/.f64 1 y))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 z) (.f64 -1 (log.f64 (/.f64 1 y))))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 z)))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 z)))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 z)))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 z)))))
(*.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 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 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 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))

Outputs
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 z) (log.f64 y))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 z) (log.f64 y)))
(*.f64 (pow.f64 y 3/2) (pow.f64 z 3/2))
(pow.f64 (*.f64 z y) 3/2)
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 z) (log.f64 y))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 z) (log.f64 y)))
(*.f64 (pow.f64 y 3/2) (pow.f64 z 3/2))
(pow.f64 (*.f64 z y) 3/2)
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 z) (log.f64 y))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 z) (log.f64 y)))
(*.f64 (pow.f64 y 3/2) (pow.f64 z 3/2))
(pow.f64 (*.f64 z y) 3/2)
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 z) (log.f64 y))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 z) (log.f64 y)))
(*.f64 (pow.f64 y 3/2) (pow.f64 z 3/2))
(pow.f64 (*.f64 z y) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 z) (log.f64 y)))
(*.f64 (pow.f64 y 3/2) (pow.f64 z 3/2))
(pow.f64 (*.f64 z y) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 z) (log.f64 y)))
(*.f64 (pow.f64 y 3/2) (pow.f64 z 3/2))
(pow.f64 (*.f64 z y) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 z) (log.f64 y)))
(*.f64 (pow.f64 y 3/2) (pow.f64 z 3/2))
(pow.f64 (*.f64 z y) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 y))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 z) (log.f64 y)))
(*.f64 (pow.f64 y 3/2) (pow.f64 z 3/2))
(pow.f64 (*.f64 z y) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 z) (log.f64 y)))
(*.f64 (pow.f64 y 3/2) (pow.f64 z 3/2))
(pow.f64 (*.f64 z y) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 z) (log.f64 y)))
(*.f64 (pow.f64 y 3/2) (pow.f64 z 3/2))
(pow.f64 (*.f64 z y) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 z) (log.f64 y)))
(*.f64 (pow.f64 y 3/2) (pow.f64 z 3/2))
(pow.f64 (*.f64 z y) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (.f64 -1 y)) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 z) (log.f64 y)))
(*.f64 (pow.f64 y 3/2) (pow.f64 z 3/2))
(pow.f64 (*.f64 z y) 3/2)
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 z) (log.f64 y))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 z) (log.f64 y)))
(*.f64 (pow.f64 y 3/2) (pow.f64 z 3/2))
(pow.f64 (*.f64 z y) 3/2)
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 z) (log.f64 y))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 z) (log.f64 y)))
(*.f64 (pow.f64 y 3/2) (pow.f64 z 3/2))
(pow.f64 (*.f64 z y) 3/2)
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 z) (log.f64 y))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 z) (log.f64 y)))
(*.f64 (pow.f64 y 3/2) (pow.f64 z 3/2))
(pow.f64 (*.f64 z y) 3/2)
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 z) (log.f64 y))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 z) (log.f64 y)))
(*.f64 (pow.f64 y 3/2) (pow.f64 z 3/2))
(pow.f64 (*.f64 z y) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (log.f64 z) (.f64 -1 (log.f64 (/.f64 1 y))))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 z) (log.f64 y)))
(*.f64 (pow.f64 y 3/2) (pow.f64 z 3/2))
(pow.f64 (*.f64 z y) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (log.f64 z) (.f64 -1 (log.f64 (/.f64 1 y))))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 z) (log.f64 y)))
(*.f64 (pow.f64 y 3/2) (pow.f64 z 3/2))
(pow.f64 (*.f64 z y) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (log.f64 z) (.f64 -1 (log.f64 (/.f64 1 y))))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 z) (log.f64 y)))
(*.f64 (pow.f64 y 3/2) (pow.f64 z 3/2))
(pow.f64 (*.f64 z y) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (log.f64 z) (.f64 -1 (log.f64 (/.f64 1 y))))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 z) (log.f64 y)))
(*.f64 (pow.f64 y 3/2) (pow.f64 z 3/2))
(pow.f64 (*.f64 z y) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 z)))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 z) (log.f64 y)))
(*.f64 (pow.f64 y 3/2) (pow.f64 z 3/2))
(pow.f64 (*.f64 z y) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 z)))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 z) (log.f64 y)))
(*.f64 (pow.f64 y 3/2) (pow.f64 z 3/2))
(pow.f64 (*.f64 z y) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 z)))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 z) (log.f64 y)))
(*.f64 (pow.f64 y 3/2) (pow.f64 z 3/2))
(pow.f64 (*.f64 z y) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 (*.f64 -1 z)))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 z) (log.f64 y)))
(*.f64 (pow.f64 y 3/2) (pow.f64 z 3/2))
(pow.f64 (*.f64 z y) 3/2)
(*.f64 y (pow.f64 z 2))
(.f64 y (.f64 z z))
(.f64 z (.f64 z y))
(*.f64 y (pow.f64 z 2))
(.f64 y (.f64 z z))
(.f64 z (.f64 z y))
(*.f64 y (pow.f64 z 2))
(.f64 y (.f64 z z))
(.f64 z (.f64 z y))
(*.f64 y (pow.f64 z 2))
(.f64 y (.f64 z z))
(.f64 z (.f64 z y))
(*.f64 y (pow.f64 z 2))
(.f64 y (.f64 z z))
(.f64 z (.f64 z y))
(*.f64 y (pow.f64 z 2))
(.f64 y (.f64 z z))
(.f64 z (.f64 z y))
(*.f64 y (pow.f64 z 2))
(.f64 y (.f64 z z))
(.f64 z (.f64 z y))
(*.f64 y (pow.f64 z 2))
(.f64 y (.f64 z z))
(.f64 z (.f64 z y))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 y (.f64 z z))
(.f64 z (.f64 z y))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 y (.f64 z z))
(.f64 z (.f64 z y))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 y (.f64 z z))
(.f64 z (.f64 z y))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 y (.f64 z z))
(.f64 z (.f64 z y))
(*.f64 y (pow.f64 z 2))
(.f64 y (.f64 z z))
(.f64 z (.f64 z y))
(*.f64 y (pow.f64 z 2))
(.f64 y (.f64 z z))
(.f64 z (.f64 z y))
(*.f64 y (pow.f64 z 2))
(.f64 y (.f64 z z))
(.f64 z (.f64 z y))
(*.f64 y (pow.f64 z 2))
(.f64 y (.f64 z z))
(.f64 z (.f64 z y))
(*.f64 y (pow.f64 z 2))
(.f64 y (.f64 z z))
(.f64 z (.f64 z y))
(*.f64 y (pow.f64 z 2))
(.f64 y (.f64 z z))
(.f64 z (.f64 z y))
(*.f64 y (pow.f64 z 2))
(.f64 y (.f64 z z))
(.f64 z (.f64 z y))
(*.f64 y (pow.f64 z 2))
(.f64 y (.f64 z z))
(.f64 z (.f64 z y))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 y (.f64 z z))
(.f64 z (.f64 z y))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 y (.f64 z z))
(.f64 z (.f64 z y))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 y (.f64 z z))
(.f64 z (.f64 z y))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 y (.f64 z z))
(.f64 z (.f64 z y))

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.3b	(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (*.f64 z z)))
	1.9b	(.f64 (sqrt.f64 y) (.f64 z z))
✓	1.9b	(.f64 (sqrt.f64 y) (.f64 z z))
✓	2.3b	(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (*.f64 z z)))

Compiler

Compiled 25 to 7 computations (72% saved)

series9.0ms (0.2%)

Counts

2 → 36

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	z	@	inf	(.f64 (sqrt.f64 y) (.f64 z z))
0.0ms	y	@	-inf	(.f64 (sqrt.f64 y) (.f64 z z))
0.0ms	z	@	-inf	(.f64 (sqrt.f64 y) (.f64 z z))
0.0ms	y	@	0	(.f64 (sqrt.f64 y) (.f64 z z))
0.0ms	y	@	inf	(.f64 (sqrt.f64 y) (.f64 z z))

rewrite39.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

630×	`pow1_binary64`
581×	`add-log-exp_binary64`
581×	`log1p-expm1-u_binary64`
581×	`expm1-log1p-u_binary64`
564×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	141	16
2	1705	16

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

simplify59.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

750×	`fma-def_binary64`
548×	`fma-neg_binary64`
315×	`distribute-rgt-neg-in_binary64`
291×	`neg-sub0_binary64`
286×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	276
1	30	276
2	89	276
3	266	276
4	1197	276
5	2781	276
6	4662	276
7	5713	276
8	6427	276
9	7167	276

Stop Event

1×

unsound

Counts

58 → 27

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 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 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 (sqrt.f64 y) (pow.f64 z 2))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))

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 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 y (.f64 z z))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 y (.f64 z z))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 z 2))))
(.f64 y (.f64 z z))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.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 (sqrt.f64 y) (pow.f64 z 2))
(.f64 (.f64 z z) (sqrt.f64 y))
(.f64 z (.f64 z (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(.f64 (.f64 z z) (sqrt.f64 y))
(.f64 z (.f64 z (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(.f64 (.f64 z z) (sqrt.f64 y))
(.f64 z (.f64 z (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(.f64 (.f64 z z) (sqrt.f64 y))
(.f64 z (.f64 z (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(.f64 (.f64 z z) (sqrt.f64 y))
(.f64 z (.f64 z (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(.f64 (.f64 z z) (sqrt.f64 y))
(.f64 z (.f64 z (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(.f64 (.f64 z z) (sqrt.f64 y))
(.f64 z (.f64 z (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(.f64 (.f64 z z) (sqrt.f64 y))
(.f64 z (.f64 z (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(.f64 (.f64 z z) (sqrt.f64 y))
(.f64 z (.f64 z (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(.f64 (.f64 z z) (sqrt.f64 y))
(.f64 z (.f64 z (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(.f64 (.f64 z z) (sqrt.f64 y))
(.f64 z (.f64 z (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (pow.f64 z 2))
(.f64 (.f64 z z) (sqrt.f64 y))
(.f64 z (.f64 z (sqrt.f64 y)))

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

rewrite0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize17.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	8.8b	(cbrt.f64 (*.f64 z y))
	0.3b	(pow.f64 (*.f64 z y) 2)
	0.2b	(.f64 z (cbrt.f64 (pow.f64 (.f64 z y) 2)))
	0.1b	(fma.f64 (.f64 z (cbrt.f64 (pow.f64 (.f64 z y) 2))) (cbrt.f64 (*.f64 z y)) x)
✓	0.2b	(.f64 z (cbrt.f64 (pow.f64 (.f64 z y) 2)))
✓	0.3b	(pow.f64 (*.f64 z y) 2)
	8.8b	(cbrt.f64 (*.f64 z y))
✓	23.8b	(cbrt.f64 (pow.f64 (*.f64 z y) 2))

Compiler

Compiled 47 to 20 computations (57.4% saved)

series16.0ms (0.3%)

Counts

3 → 24

Calls

18 calls:

Time	Variable		Point	Expression
9.0ms	z	@	0	(pow.f64 (*.f64 z y) 2)
0.0ms	y	@	-inf	(pow.f64 (*.f64 z y) 2)
0.0ms	z	@	-inf	(pow.f64 (*.f64 z y) 2)
0.0ms	y	@	inf	(pow.f64 (*.f64 z y) 2)
0.0ms	z	@	0	(cbrt.f64 (pow.f64 (*.f64 z y) 2))

rewrite43.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

678×	`pow1_binary64`
626×	`add-log-exp_binary64`
626×	`log1p-expm1-u_binary64`
626×	`expm1-log1p-u_binary64`
608×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	163	28
2	1840	28

Stop Event

1×	node limit

Counts

3 → 57

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (*.f64 z y) 2))
(pow.f64 (*.f64 z y) 2)
(.f64 z (cbrt.f64 (pow.f64 (.f64 z y) 2)))

Outputs

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

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

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

simplify142.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1022×	`sqr-pow_binary64`
719×	`associate-l_binary64`
648×	`cube-prod_binary64`
567×	`fabs-mul_binary64`
505×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	240
1	16	240
2	37	240
3	103	240
4	432	240
5	2343	240
6	2435	240
7	2636	240
8	2834	240
9	3072	240
10	3391	240
11	4063	240
12	4557	240
13	5205	240
14	5943	240
15	6504	240
16	6848	240
17	7176	240
18	7270	240
19	7302	240
20	7955	240

Stop Event

1×	node limit

Counts

81 → 59

Calls

Call 1

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

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

eval126.0ms (2.7%)

Compiler: Compiled 3547 to 1414 computations (60.1% saved)

prune63.0ms (1.4%)

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	222	2	224
Fresh	0	1	1
Picked	1	0	1
Done	0	10	10
Total	223	13	236

Error

Counts

236 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	44.5b	(.f64 y (.f64 z z))
✓	0.1b	(+.f64 x (.f64 (.f64 y z) z))
✓	22.6b	(+.f64 x (.f64 (.f64 z (sqrt.f64 (.f64 z y))) (sqrt.f64 (.f64 z y))))
	23.8b	x
	59.4b	(sqrt.f64 (.f64 y (.f64 y (pow.f64 z 4))))
	6.5b	(fma.f64 (.f64 z (cbrt.f64 (.f64 (.f64 (.f64 z y) z) y))) (cbrt.f64 (*.f64 z y)) x)
✓	44.8b	(pow.f64 (cbrt.f64 (.f64 y (.f64 z z))) 3)
✓	53.6b	(pow.f64 (*.f64 z (sqrt.f64 y)) 2)
✓	38.9b	(.f64 z (.f64 y z))
✓	0.5b	(+.f64 x (pow.f64 (cbrt.f64 (.f64 z (.f64 y z))) 3))
✓	0.5b	(+.f64 x (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 z y))) 2) (cbrt.f64 z)) (cbrt.f64 (*.f64 z y))))
✓	55.0b	(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (*.f64 z z)))
✓	24.9b	(+.f64 x (.f64 (.f64 z (sqrt.f64 (.f64 z y))) (cbrt.f64 (pow.f64 (.f64 z y) 3/2))))

Compiler

Compiled 160 to 100 computations (37.5% saved)

regimes50.0ms (1.1%)

Counts

13 → 1

Calls

Call 1

Inputs
x
(.f64 z (.f64 y z))
(.f64 y (.f64 z z))
(+.f64 x (.f64 (.f64 y z) z))
(pow.f64 (*.f64 z (sqrt.f64 y)) 2)
(pow.f64 (cbrt.f64 (.f64 y (.f64 z z))) 3)
(sqrt.f64 (.f64 y (.f64 y (pow.f64 z 4))))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (*.f64 z z)))
(+.f64 x (pow.f64 (cbrt.f64 (.f64 z (.f64 y z))) 3))
(+.f64 x (.f64 (.f64 z (sqrt.f64 (.f64 z y))) (sqrt.f64 (.f64 z y))))
(+.f64 x (.f64 (.f64 z (sqrt.f64 (.f64 z y))) (cbrt.f64 (pow.f64 (.f64 z y) 3/2))))
(fma.f64 (.f64 z (cbrt.f64 (.f64 (.f64 (.f64 z y) z) y))) (cbrt.f64 (*.f64 z y)) x)
(+.f64 x (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 z y))) 2) (cbrt.f64 z)) (cbrt.f64 (*.f64 z y))))

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

Calls

5 calls:

17.0ms	(+.f64 x (.f64 (.f64 y z) z))
10.0ms	y
7.0ms	x
7.0ms	z
5.0ms	(.f64 (.f64 y z) z)

Results

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

Compiler

Compiled 154 to 71 computations (53.9% saved)

regimes94.0ms (2%)

Accuracy

Total -48.9b remaining (-379.2%)

Threshold costs -48.9b (-379.2%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

66.0ms	x
19.0ms	y
9.0ms	z

Results

Error	Segments	Branch
14.1b	11	`x`
22.4b	3	`y`
12.9b	3	`z`

Compiler

Compiled 26 to 16 computations (38.5% saved)

bsearch72.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	2.843545883220417e-13	1.2455311603457037e-12
56.0ms	-1.1015500283857054e+36	-2.879623026703413e+35

Compiler

Compiled 86 to 61 computations (29.1% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	38
1	18	38

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 x (.f64 (.f64 y z) z))
(if (<=.f64 z -1100000000000000002390515334516834304) (.f64 z (.f64 y z)) (if (<=.f64 z 5632222883813863/19807040628566084398385987584) x (.f64 z (.f64 y z))))
x

Outputs
(+.f64 x (.f64 (.f64 y z) z))
(+.f64 x (.f64 z (.f64 y z)))
(if (<=.f64 z -1100000000000000002390515334516834304) (.f64 z (.f64 y z)) (if (<=.f64 z 5632222883813863/19807040628566084398385987584) x (.f64 z (.f64 y z))))
x

end64.0ms (1.4%)

Stop Event

1×

fuel

Compiler

Compiled 66 to 32 computations (51.5% saved)

Details

analyze160.0ms (3.5%)

sample924.0ms (20%)

preprocess14.0ms (0.3%)

simplify5.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.1%)

series6.0ms (0.1%)

rewrite40.0ms (0.9%)

simplify145.0ms (3.1%)

localize6.0ms (0.1%)

series3.0ms (0.1%)

rewrite31.0ms (0.7%)

simplify133.0ms (2.9%)

eval12.0ms (0.3%)

prune12.0ms (0.3%)

localize12.0ms (0.3%)

series14.0ms (0.3%)

rewrite62.0ms (1.3%)

simplify113.0ms (2.4%)

localize25.0ms (0.5%)

series22.0ms (0.5%)

rewrite79.0ms (1.7%)

simplify53.0ms (1.2%)

localize9.0ms (0.2%)

series11.0ms (0.2%)

rewrite50.0ms (1.1%)

simplify137.0ms (3%)

localize5.0ms (0.1%)

rewrite0.0ms (0%)

simplify8.0ms (0.2%)

eval248.0ms (5.4%)

prune177.0ms (3.8%)

localize104.0ms (2.2%)

series10.0ms (0.2%)

rewrite56.0ms (1.2%)

simplify6.0ms (0.1%)

localize8.0ms (0.2%)

series3.0ms (0.1%)

rewrite37.0ms (0.8%)

simplify128.0ms (2.8%)

localize14.0ms (0.3%)

series12.0ms (0.3%)

rewrite43.0ms (0.9%)

simplify7.0ms (0.2%)

localize9.0ms (0.2%)

series7.0ms (0.1%)

rewrite59.0ms (1.3%)

simplify67.0ms (1.4%)

localize26.0ms (0.6%)

series12.0ms (0.3%)

rewrite53.0ms (1.1%)

simplify66.0ms (1.4%)

eval116.0ms (2.5%)

prune84.0ms (1.8%)

localize37.0ms (0.8%)

series243.0ms (5.2%)

rewrite45.0ms (1%)

simplify35.0ms (0.8%)

localize8.0ms (0.2%)

series9.0ms (0.2%)

rewrite39.0ms (0.8%)

simplify59.0ms (1.3%)

localize5.0ms (0.1%)

rewrite0.0ms (0%)

simplify7.0ms (0.2%)

localize17.0ms (0.4%)

series16.0ms (0.3%)

rewrite43.0ms (0.9%)

simplify142.0ms (3.1%)

eval126.0ms (2.7%)

prune63.0ms (1.4%)

regimes50.0ms (1.1%)

regimes94.0ms (2%)

bsearch72.0ms (1.6%)

simplify2.0ms (0%)

end64.0ms (1.4%)

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