Details

analyze44.0ms (0.9%)

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
56.2%	43.7%	0.1%	6
65.6%	34.3%	0.1%	7
76.5%	23.4%	0.1%	8
82%	18%	0.1%	9
87.8%	12.1%	0.1%	10
90.7%	9.2%	0.1%	11
93.8%	6.1%	0.1%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.1s (22.1%)

Results

1.1s

8256×

body

256

valid

preprocess87.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

4×	`associate-/r*_binary64`
2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	16	18
2	20	18
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(cbrt.f64 (/.f64 g (*.f64 2 a)))
(cbrt.f64 (/.f64 a (*.f64 2 g)))

Outputs
(cbrt.f64 (/.f64 g (*.f64 2 a)))
(cbrt.f64 (/.f64 (/.f64 g 2) a))
(cbrt.f64 (/.f64 a (*.f64 2 g)))
(cbrt.f64 (/.f64 a (*.f64 g 2)))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`associate-/r*_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	10	9
2	12	9

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 g (*.f64 2 a)))

Outputs
(cbrt.f64 (/.f64 g (*.f64 2 a)))

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

15.4b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.4b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 8 to 6 computations (25% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	15.1b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series5.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	g	@	0	(cbrt.f64 (/.f64 g (*.f64 2 a)))
1.0ms	a	@	inf	(cbrt.f64 (/.f64 g (*.f64 2 a)))
1.0ms	g	@	-inf	(cbrt.f64 (/.f64 g (*.f64 2 a)))
1.0ms	g	@	inf	(cbrt.f64 (/.f64 g (*.f64 2 a)))
1.0ms	a	@	0	(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite54.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

745×	`pow1_binary64`
695×	`add-log-exp_binary64`
695×	`log1p-expm1-u_binary64`
695×	`expm1-log1p-u_binary64`
680×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	146	9
2	1857	9

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 g (*.f64 2 a)))

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

Outputs

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

27 → 27

Calls

Call 1

Inputs

Outputs

eval11.0ms (0.2%)

Compiler: Compiled 268 to 177 computations (34% saved)

prune13.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	18	9	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	10	28

Error

0.1b

Counts

28 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
	35.5b	(-.f64 (+.f64 1 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 1)
▶	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	0.9b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
▶	15.2b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
▶	39.5b	(exp.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))
✓	15.4b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
▶	0.9b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
	16.0b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 3)
▶	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))

Compiler

Compiled 192 to 154 computations (19.8% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
✓	0.6b	(cbrt.f64 g)
✓	0.6b	(cbrt.f64 (*.f64 2 a))

Compiler

Compiled 21 to 13 computations (38.1% saved)

series9.0ms (0.2%)

Counts

3 → 0

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(cbrt.f64 (*.f64 2 a))
1.0ms	g	@	0	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
1.0ms	a	@	0	(cbrt.f64 (*.f64 2 a))
1.0ms	g	@	-inf	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
1.0ms	g	@	-inf	(cbrt.f64 g)

rewrite63.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

808×	`pow1_binary64`
753×	`add-log-exp_binary64`
753×	`log1p-expm1-u_binary64`
753×	`expm1-log1p-u_binary64`
734×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	163	18
2	2015	18

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 2 a))
(cbrt.f64 g)
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))

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

Outputs

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

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

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

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

71 → 71

Calls

Call 1

Inputs

Outputs

localize37.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 2 (/.f64 a g))
✓	0.2b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
✓	14.9b	(cbrt.f64 (*.f64 2 (/.f64 a g)))

Compiler

Compiled 28 to 15 computations (46.4% saved)

series10.0ms (0.2%)

Counts

3 → 0

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	g	@	0	(*.f64 2 (/.f64 a g))
1.0ms	g	@	inf	(cbrt.f64 (*.f64 2 (/.f64 a g)))
1.0ms	a	@	inf	(*.f64 2 (/.f64 a g))
1.0ms	a	@	0	(*.f64 2 (/.f64 a g))
1.0ms	g	@	-inf	(cbrt.f64 (*.f64 2 (/.f64 a g)))

rewrite74.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

869×	`pow1_binary64`
808×	`add-log-exp_binary64`
808×	`log1p-expm1-u_binary64`
808×	`expm1-log1p-u_binary64`
790×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	185	28
2	2242	28

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 2 (/.f64 a g)))
(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
(*.f64 2 (/.f64 a g))

Outputs

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

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

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

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

69 → 69

Calls

Call 1

Inputs

Outputs

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
✓	0.6b	(cbrt.f64 (/.f64 1/2 a))
	0.6b	(cbrt.f64 g)

Compiler

Compiled 21 to 13 computations (38.1% saved)

series4.0ms (0.1%)

Counts

2 → 0

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	g	@	-inf	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
0.0ms	g	@	0	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
0.0ms	a	@	0	(cbrt.f64 (/.f64 1/2 a))
0.0ms	a	@	inf	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
0.0ms	a	@	0	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))

rewrite64.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

739×	`pow1_binary64`
687×	`add-log-exp_binary64`
687×	`log1p-expm1-u_binary64`
687×	`expm1-log1p-u_binary64`
669×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	164	15
2	1911	15

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 1/2 a))
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))

Outputs

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

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

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

39 → 39

Calls

Call 1

Inputs

Outputs

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (cbrt.f64 (*.f64 2 a)))
✓	0.4b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
	0.6b	(cbrt.f64 g)
	0.6b	(cbrt.f64 (*.f64 2 a))

Compiler

Compiled 30 to 21 computations (30% saved)

series3.0ms (0.1%)

Counts

2 → 0

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	g	@	0	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
0.0ms	g	@	-inf	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
0.0ms	a	@	0	(/.f64 1 (cbrt.f64 (*.f64 2 a)))
0.0ms	a	@	inf	(/.f64 1 (cbrt.f64 (*.f64 2 a)))
0.0ms	a	@	-inf	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))

rewrite61.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

842×	`pow1_binary64`
780×	`add-log-exp_binary64`
780×	`log1p-expm1-u_binary64`
780×	`expm1-log1p-u_binary64`
761×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	197	18
2	2241	18

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

Inputs
(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
(/.f64 1 (cbrt.f64 (*.f64 2 a)))

Outputs

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

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

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

47 → 47

Calls

Call 1

Inputs

Outputs

localize18.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.3b	(exp.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))
✓	15.1b	(cbrt.f64 (*.f64 1/2 (/.f64 g a)))

Compiler

Compiled 34 to 18 computations (47.1% saved)

series4.0ms (0.1%)

Counts

2 → 0

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	g	@	0	(cbrt.f64 (*.f64 1/2 (/.f64 g a)))
0.0ms	a	@	inf	(cbrt.f64 (*.f64 1/2 (/.f64 g a)))
0.0ms	g	@	0	(exp.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))
0.0ms	a	@	-inf	(exp.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))
0.0ms	g	@	-inf	(exp.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))

rewrite83.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

795×	`pow1_binary64`
738×	`add-log-exp_binary64`
738×	`log1p-expm1-u_binary64`
738×	`expm1-log1p-u_binary64`
721×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	170	18
2	1998	18

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 1/2 (/.f64 g a)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))

Outputs

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

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

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

50 → 26

Calls

Call 1

Inputs

Outputs

eval115.0ms (2.3%)

Compiler: Compiled 3536 to 2433 computations (31.2% saved)

prune93.0ms (1.9%)

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	285	23	308
Fresh	3	1	4
Picked	1	0	1
Done	2	3	5
Total	291	27	318

Error

0.0b

Counts

318 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	1.4b	(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 (cbrt.f64 g))))
	0.9b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
▶	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
	15.5b	(cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 g (*.f64 2 a))) 3))
▶	0.9b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	1.1b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
	35.5b	(-.f64 (+.f64 1 (cbrt.f64 (/.f64 g (*.f64 2 a)))) 1)
	1.0b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 a))))
	30.9b	(/.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (cbrt.f64 (.f64 4 (.f64 a a)))) (cbrt.f64 (cbrt.f64 (.f64 2 a)))))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
	1.2b	(.f64 (cbrt.f64 g) (/.f64 1 (.f64 (cbrt.f64 a) (cbrt.f64 2))))
	1.2b	(.f64 (cbrt.f64 g) (.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 2 a)))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 2 a)) -2))))
▶	1.4b	(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (cbrt.f64 (*.f64 2 a)))
	45.5b	(/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (.f64 4 (.f64 a a)))))
✓	15.4b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	1.5b	(/.f64 (/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 a))) 2)) (cbrt.f64 (cbrt.f64 (.f64 2 a))))
	39.7b	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
	1.4b	(/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) 3))
	15.5b	(/.f64 1 (*.f64 (cbrt.f64 (/.f64 a g)) (cbrt.f64 2)))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	0.9b	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
	15.8b	(/.f64 1 (cbrt.f64 (/.f64 2 (/.f64 g a))))
▶	38.3b	(pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))) 2)
	37.8b	(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) -2))
▶	15.4b	(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
	15.2b	(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))

Compiler

Compiled 600 to 482 computations (19.7% saved)

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
✓	0.6b	(cbrt.f64 a)
✓	0.6b	(cbrt.f64 (*.f64 g 1/2))

Compiler

Compiled 21 to 13 computations (38.1% saved)

series5.0ms (0.1%)

Counts

3 → 0

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
1.0ms	a	@	-inf	(cbrt.f64 a)
0.0ms	g	@	0	(cbrt.f64 (*.f64 g 1/2))
0.0ms	a	@	inf	(cbrt.f64 a)
0.0ms	a	@	0	(cbrt.f64 a)

rewrite68.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

812×	`pow1_binary64`
758×	`add-log-exp_binary64`
758×	`log1p-expm1-u_binary64`
758×	`expm1-log1p-u_binary64`
739×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	163	18
2	2020	18

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 g 1/2))
(cbrt.f64 a)
(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))

Outputs

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

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

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

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

72 → 72

Calls

Call 1

Inputs

Outputs

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 1/2 a) g)
✓	15.1b	(cbrt.f64 (*.f64 (/.f64 1/2 a) g))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series7.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	a	@	inf	(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
1.0ms	a	@	0	(*.f64 (/.f64 1/2 a) g)
1.0ms	g	@	0	(*.f64 (/.f64 1/2 a) g)
1.0ms	a	@	-inf	(*.f64 (/.f64 1/2 a) g)
0.0ms	g	@	-inf	(*.f64 (/.f64 1/2 a) g)

rewrite61.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

690×	`pow1_binary64`
643×	`add-log-exp_binary64`
643×	`log1p-expm1-u_binary64`
643×	`expm1-log1p-u_binary64`
629×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	147	16
2	1763	16

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
(*.f64 (/.f64 1/2 a) g)

Outputs

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

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

simplify14.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

68 → 45

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))

Outputs
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
✓	0.4b	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
	0.6b	(cbrt.f64 g)
	0.6b	(cbrt.f64 (*.f64 2 a))

Compiler

Compiled 31 to 20 computations (35.5% saved)

series6.0ms (0.1%)

Counts

2 → 0

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	g	@	-inf	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
1.0ms	a	@	0	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
0.0ms	a	@	inf	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
0.0ms	g	@	inf	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
0.0ms	g	@	0	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))

rewrite73.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

959×	`pow1_binary64`
893×	`add-log-exp_binary64`
893×	`log1p-expm1-u_binary64`
893×	`expm1-log1p-u_binary64`
96×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	204	18
2	2506	18

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

Inputs
(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))

Outputs

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

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

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

75 → 75

Calls

Call 1

Inputs

Outputs

localize19.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a))))
✓	0.3b	(pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))) 2)
	15.1b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 35 to 24 computations (31.4% saved)

series105.0ms (2.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
35.0ms	a	@	0	(pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))) 2)
32.0ms	g	@	0	(pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))) 2)
19.0ms	g	@	inf	(pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))) 2)
10.0ms	a	@	inf	(pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))) 2)
3.0ms	g	@	0	(sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a))))

rewrite62.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

815×	`pow1_binary64`
762×	`add-log-exp_binary64`
762×	`log1p-expm1-u_binary64`
762×	`expm1-log1p-u_binary64`
743×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	190	19
2	2116	19

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))) 2)
(sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a))))

Outputs

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

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

simplify78.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

697×	`fma-def_binary64`
322×	`associate-l_binary64`
299×	`associate-r_binary64`
283×	`fma-neg_binary64`
265×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	56	1144
1	132	1064
2	310	888
3	999	696
4	3711	632

Stop Event

1×	node limit

Counts

97 → 63

Calls

Call 1

Inputs
(.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))) 2) (cbrt.f64 1/2))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))) 2) (cbrt.f64 1/2))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))) 2) (cbrt.f64 1/2))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))) 2) (cbrt.f64 1/2))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))) 2) (cbrt.f64 -1/2))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))) 2) (cbrt.f64 -1/2))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))) 2) (cbrt.f64 -1/2))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))) 2) (cbrt.f64 -1/2))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (*.f64 -1 (log.f64 a))))) 2) (cbrt.f64 1/2))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (*.f64 -1 (log.f64 a))))) 2) (cbrt.f64 1/2))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (*.f64 -1 (log.f64 a))))) 2) (cbrt.f64 1/2))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (*.f64 -1 (log.f64 a))))) 2) (cbrt.f64 1/2))
(.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) 2) (cbrt.f64 -1/2))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) 2) (cbrt.f64 -1/2))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) 2) (cbrt.f64 -1/2))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) 2) (cbrt.f64 -1/2))
(.f64 (sqrt.f64 (cbrt.f64 1/2)) (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(.f64 (sqrt.f64 (cbrt.f64 1/2)) (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(.f64 (sqrt.f64 (cbrt.f64 1/2)) (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(.f64 (sqrt.f64 (cbrt.f64 1/2)) (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))) (sqrt.f64 (cbrt.f64 1/2)))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))) (sqrt.f64 (cbrt.f64 1/2)))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))) (sqrt.f64 (cbrt.f64 1/2)))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))) (sqrt.f64 (cbrt.f64 1/2)))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))) (sqrt.f64 (cbrt.f64 -1/2)))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))) (sqrt.f64 (cbrt.f64 -1/2)))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))) (sqrt.f64 (cbrt.f64 -1/2)))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))) (sqrt.f64 (cbrt.f64 -1/2)))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (*.f64 -1 (log.f64 a))))) (sqrt.f64 (cbrt.f64 1/2)))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (*.f64 -1 (log.f64 a))))) (sqrt.f64 (cbrt.f64 1/2)))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (*.f64 -1 (log.f64 a))))) (sqrt.f64 (cbrt.f64 1/2)))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (*.f64 -1 (log.f64 a))))) (sqrt.f64 (cbrt.f64 1/2)))
(.f64 (sqrt.f64 (cbrt.f64 1/2)) (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(.f64 (sqrt.f64 (cbrt.f64 1/2)) (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(.f64 (sqrt.f64 (cbrt.f64 1/2)) (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(.f64 (sqrt.f64 (cbrt.f64 1/2)) (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) (sqrt.f64 (cbrt.f64 -1/2)))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) (sqrt.f64 (cbrt.f64 -1/2)))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) (sqrt.f64 (cbrt.f64 -1/2)))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) (sqrt.f64 (cbrt.f64 -1/2)))

Outputs
(.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))) 2))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 g) (log.f64 a))) 2))
(.f64 (cbrt.f64 1/2) (pow.f64 (.f64 (pow.f64 a -1/6) (pow.f64 g 1/6)) 2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
(.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))) 2))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 g) (log.f64 a))) 2))
(.f64 (cbrt.f64 1/2) (pow.f64 (.f64 (pow.f64 a -1/6) (pow.f64 g 1/6)) 2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
(.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))) 2))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 g) (log.f64 a))) 2))
(.f64 (cbrt.f64 1/2) (pow.f64 (.f64 (pow.f64 a -1/6) (pow.f64 g 1/6)) 2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
(.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))) 2))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 g) (log.f64 a))) 2))
(.f64 (cbrt.f64 1/2) (pow.f64 (.f64 (pow.f64 a -1/6) (pow.f64 g 1/6)) 2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))) 2) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))) 2))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 g) (log.f64 a))) 2))
(.f64 (cbrt.f64 1/2) (pow.f64 (.f64 (pow.f64 a -1/6) (pow.f64 g 1/6)) 2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))) 2) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))) 2))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 g) (log.f64 a))) 2))
(.f64 (cbrt.f64 1/2) (pow.f64 (.f64 (pow.f64 a -1/6) (pow.f64 g 1/6)) 2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))) 2) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))) 2))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 g) (log.f64 a))) 2))
(.f64 (cbrt.f64 1/2) (pow.f64 (.f64 (pow.f64 a -1/6) (pow.f64 g 1/6)) 2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))) 2) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))) 2))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 g) (log.f64 a))) 2))
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(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
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(.f64 (pow.f64 a -1/6) (.f64 (sqrt.f64 (cbrt.f64 -1/2)) (pow.f64 (/.f64 -1 g) -1/6)))
(*.f64 (pow.f64 (neg.f64 (/.f64 g a)) 1/6) (sqrt.f64 (cbrt.f64 -1/2)))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))) (sqrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))) (sqrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))) (sqrt.f64 (cbrt.f64 -1/2)))
(.f64 (pow.f64 (/.f64 -1 g) -1/6) (.f64 (pow.f64 a -1/6) (sqrt.f64 (cbrt.f64 -1/2))))
(.f64 (pow.f64 a -1/6) (.f64 (sqrt.f64 (cbrt.f64 -1/2)) (pow.f64 (/.f64 -1 g) -1/6)))
(*.f64 (pow.f64 (neg.f64 (/.f64 g a)) 1/6) (sqrt.f64 (cbrt.f64 -1/2)))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (*.f64 -1 (log.f64 a))))) (sqrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))) (sqrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 g) (log.f64 a))) (sqrt.f64 (cbrt.f64 1/2)))
(.f64 (.f64 (pow.f64 a -1/6) (pow.f64 g 1/6)) (sqrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 g a) 1/6) (sqrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 a g) -1/6) (sqrt.f64 (cbrt.f64 1/2)))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (*.f64 -1 (log.f64 a))))) (sqrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))) (sqrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 g) (log.f64 a))) (sqrt.f64 (cbrt.f64 1/2)))
(.f64 (.f64 (pow.f64 a -1/6) (pow.f64 g 1/6)) (sqrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 g a) 1/6) (sqrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 a g) -1/6) (sqrt.f64 (cbrt.f64 1/2)))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (*.f64 -1 (log.f64 a))))) (sqrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))) (sqrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 g) (log.f64 a))) (sqrt.f64 (cbrt.f64 1/2)))
(.f64 (.f64 (pow.f64 a -1/6) (pow.f64 g 1/6)) (sqrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 g a) 1/6) (sqrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 a g) -1/6) (sqrt.f64 (cbrt.f64 1/2)))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (*.f64 -1 (log.f64 a))))) (sqrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))) (sqrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 g) (log.f64 a))) (sqrt.f64 (cbrt.f64 1/2)))
(.f64 (.f64 (pow.f64 a -1/6) (pow.f64 g 1/6)) (sqrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 g a) 1/6) (sqrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 a g) -1/6) (sqrt.f64 (cbrt.f64 1/2)))
(.f64 (sqrt.f64 (cbrt.f64 1/2)) (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))) (sqrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 g) (log.f64 a))) (sqrt.f64 (cbrt.f64 1/2)))
(.f64 (.f64 (pow.f64 a -1/6) (pow.f64 g 1/6)) (sqrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 g a) 1/6) (sqrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 a g) -1/6) (sqrt.f64 (cbrt.f64 1/2)))
(.f64 (sqrt.f64 (cbrt.f64 1/2)) (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))) (sqrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 g) (log.f64 a))) (sqrt.f64 (cbrt.f64 1/2)))
(.f64 (.f64 (pow.f64 a -1/6) (pow.f64 g 1/6)) (sqrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 g a) 1/6) (sqrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 a g) -1/6) (sqrt.f64 (cbrt.f64 1/2)))
(.f64 (sqrt.f64 (cbrt.f64 1/2)) (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))) (sqrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 g) (log.f64 a))) (sqrt.f64 (cbrt.f64 1/2)))
(.f64 (.f64 (pow.f64 a -1/6) (pow.f64 g 1/6)) (sqrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 g a) 1/6) (sqrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 a g) -1/6) (sqrt.f64 (cbrt.f64 1/2)))
(.f64 (sqrt.f64 (cbrt.f64 1/2)) (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))) (sqrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 g) (log.f64 a))) (sqrt.f64 (cbrt.f64 1/2)))
(.f64 (.f64 (pow.f64 a -1/6) (pow.f64 g 1/6)) (sqrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 g a) 1/6) (sqrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 a g) -1/6) (sqrt.f64 (cbrt.f64 1/2)))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) (sqrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))) (sqrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))) (sqrt.f64 (cbrt.f64 -1/2)))
(.f64 (pow.f64 (/.f64 -1 g) -1/6) (.f64 (pow.f64 a -1/6) (sqrt.f64 (cbrt.f64 -1/2))))
(.f64 (pow.f64 a -1/6) (.f64 (sqrt.f64 (cbrt.f64 -1/2)) (pow.f64 (/.f64 -1 g) -1/6)))
(*.f64 (pow.f64 (neg.f64 (/.f64 g a)) 1/6) (sqrt.f64 (cbrt.f64 -1/2)))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) (sqrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))) (sqrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))) (sqrt.f64 (cbrt.f64 -1/2)))
(.f64 (pow.f64 (/.f64 -1 g) -1/6) (.f64 (pow.f64 a -1/6) (sqrt.f64 (cbrt.f64 -1/2))))
(.f64 (pow.f64 a -1/6) (.f64 (sqrt.f64 (cbrt.f64 -1/2)) (pow.f64 (/.f64 -1 g) -1/6)))
(*.f64 (pow.f64 (neg.f64 (/.f64 g a)) 1/6) (sqrt.f64 (cbrt.f64 -1/2)))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) (sqrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))) (sqrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))) (sqrt.f64 (cbrt.f64 -1/2)))
(.f64 (pow.f64 (/.f64 -1 g) -1/6) (.f64 (pow.f64 a -1/6) (sqrt.f64 (cbrt.f64 -1/2))))
(.f64 (pow.f64 a -1/6) (.f64 (sqrt.f64 (cbrt.f64 -1/2)) (pow.f64 (/.f64 -1 g) -1/6)))
(*.f64 (pow.f64 (neg.f64 (/.f64 g a)) 1/6) (sqrt.f64 (cbrt.f64 -1/2)))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) (sqrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))) (sqrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))) (sqrt.f64 (cbrt.f64 -1/2)))
(.f64 (pow.f64 (/.f64 -1 g) -1/6) (.f64 (pow.f64 a -1/6) (sqrt.f64 (cbrt.f64 -1/2))))
(.f64 (pow.f64 a -1/6) (.f64 (sqrt.f64 (cbrt.f64 -1/2)) (pow.f64 (/.f64 -1 g) -1/6)))
(*.f64 (pow.f64 (neg.f64 (/.f64 g a)) 1/6) (sqrt.f64 (cbrt.f64 -1/2)))

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (cbrt.f64 g))
	0.6b	(cbrt.f64 g)
	0.6b	(cbrt.f64 (*.f64 2 a))
✓	0.7b	(pow.f64 (cbrt.f64 (cbrt.f64 g)) 3)

Compiler

Compiled 33 to 19 computations (42.4% saved)

series31.0ms (0.6%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	g	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 g)) 3)
12.0ms	g	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 g)) 3)
4.0ms	g	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 g)) 3)
0.0ms	g	@	-inf	(cbrt.f64 (cbrt.f64 g))
0.0ms	g	@	0	(cbrt.f64 (cbrt.f64 g))

rewrite55.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

408×	`pow1_binary64`
400×	`add-sqr-sqrt_binary64`
387×	`add-log-exp_binary64`
387×	`log1p-expm1-u_binary64`
387×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	124	8
2	1121	8

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (cbrt.f64 g)) 3)
(cbrt.f64 (cbrt.f64 g))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 g))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 g)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 g)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 g))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 g)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 g)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 g) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 g) (pow.f64 1 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 g)) (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 g)) (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (cbrt.f64 g))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 g))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) (cbrt.f64 (cbrt.f64 g)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 g))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 g))) (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 g 1/6) (pow.f64 g 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 g) 1/6) (*.f64 (pow.f64 (cbrt.f64 g) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 g))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/2) (cbrt.f64 g))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 g) 1/6) 3/2) (pow.f64 (pow.f64 g 1/6) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 g))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 g))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) (pow.f64 (cbrt.f64 g) 1/6)) (pow.f64 (cbrt.f64 g) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 1 1/3) 3) (cbrt.f64 g))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 g) 2) (cbrt.f64 (cbrt.f64 g))) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 g))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 g) 2) (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 g))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 g) 2) (pow.f64 g 1/6)) 1/3) (pow.f64 (cbrt.f64 g) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 g 1/6) 3/2) (pow.f64 (pow.f64 (cbrt.f64 g) 1/6) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 g))) 2) 2) 3/2) (cbrt.f64 (cbrt.f64 g)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 g)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 g))) 2)) 3/2) (pow.f64 (cbrt.f64 g) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 1 3/2) 2) (cbrt.f64 g))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 g) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 g)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 g)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 g)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 g)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 g)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (cbrt.f64 g)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 g)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 g))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 g))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 g))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 g))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 g)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 g)) (pow.f64 1 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 g)) (pow.f64 1 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 g)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 g))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 g))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 g))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 g))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 g) 1/6) (pow.f64 (cbrt.f64 g) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 g) 1/6)) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 g) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 g))) 2)) (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 g))) (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 g)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/2) (cbrt.f64 (cbrt.f64 g)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/9) (cbrt.f64 (cbrt.f64 g)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 g) 1/9) (pow.f64 (pow.f64 (cbrt.f64 g) 2) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 g) 2) 1/9) (pow.f64 (cbrt.f64 g) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 g) 1/9) (pow.f64 (sqrt.f64 g) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 g) 2) (cbrt.f64 (cbrt.f64 g))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 g) 2) (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2)) 1/9) (pow.f64 (cbrt.f64 (cbrt.f64 g)) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 g) 2) (pow.f64 g 1/6)) 1/9) (pow.f64 (pow.f64 g 1/6) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 1 1/3) 1/3) (cbrt.f64 (cbrt.f64 g)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 g))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 g)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) (pow.f64 (cbrt.f64 g) 1/6)) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 g) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 g)))) 2) 3) (cbrt.f64 (cbrt.f64 (cbrt.f64 g))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 g)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 g)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 g))) 2)) 2) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 g))) 2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 g))) 2)) 3/2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 g))) 2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 g 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 g) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 g)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 g))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 g))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 g) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 g))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 g))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 g))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/9 (log.f64 g)))))))

simplify167.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1227×	`sqr-pow_binary64`
1010×	`unswap-sqr_binary64`
612×	`cube-prod_binary64`
456×	`unpow3_binary64`
445×	`cube-mult_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	21	252
1	56	228
2	102	228
3	213	228
4	682	184
5	1259	184
6	2792	184
7	2942	184
8	3164	184
9	3433	184
10	3759	184
11	4221	184
12	4825	184
13	5579	184
14	6084	184
15	6490	184
16	6818	184
17	7170	184
18	7340	184

Stop Event

1×	node limit

Counts

97 → 80

Calls

Call 1

Inputs
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 g 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 g 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 g 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 g 1/3))
(pow.f64 g 1/3)
(pow.f64 g 1/3)
(pow.f64 g 1/3)
(pow.f64 g 1/3)
(.f64 (pow.f64 (.f64 -1 g) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 -1 g) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 -1 g) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 -1 g) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(pow.f64 g 1/9)
(pow.f64 g 1/9)
(pow.f64 g 1/9)
(pow.f64 g 1/9)
(pow.f64 g 1/9)
(pow.f64 g 1/9)
(pow.f64 g 1/9)
(pow.f64 g 1/9)
(.f64 (pow.f64 (.f64 -1 g) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(.f64 (pow.f64 (.f64 -1 g) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(.f64 (pow.f64 (.f64 -1 g) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(.f64 (pow.f64 (.f64 -1 g) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))

Outputs
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 g 1/3))
(*.f64 1 (cbrt.f64 g))
(cbrt.f64 g)
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 g 1/3))
(*.f64 1 (cbrt.f64 g))
(cbrt.f64 g)
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 g 1/3))
(*.f64 1 (cbrt.f64 g))
(cbrt.f64 g)
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 g 1/3))
(*.f64 1 (cbrt.f64 g))
(cbrt.f64 g)
(pow.f64 g 1/3)
(*.f64 1 (cbrt.f64 g))
(cbrt.f64 g)
(pow.f64 g 1/3)
(*.f64 1 (cbrt.f64 g))
(cbrt.f64 g)
(pow.f64 g 1/3)
(*.f64 1 (cbrt.f64 g))
(cbrt.f64 g)
(pow.f64 g 1/3)
(*.f64 1 (cbrt.f64 g))
(cbrt.f64 g)
(.f64 (pow.f64 (.f64 -1 g) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(*.f64 (cbrt.f64 (neg.f64 g)) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 -1 g) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(*.f64 (cbrt.f64 (neg.f64 g)) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 -1 g) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(*.f64 (cbrt.f64 (neg.f64 g)) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 -1 g) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(*.f64 (cbrt.f64 (neg.f64 g)) (cbrt.f64 -1))
(pow.f64 g 1/9)
(*.f64 (pow.f64 g 1/18) (pow.f64 g 1/18))
(pow.f64 (pow.f64 g 1/36) 4)
(pow.f64 (pow.f64 g 1/72) 8)
(pow.f64 g 1/9)
(*.f64 (pow.f64 g 1/18) (pow.f64 g 1/18))
(pow.f64 (pow.f64 g 1/36) 4)
(pow.f64 (pow.f64 g 1/72) 8)
(pow.f64 g 1/9)
(*.f64 (pow.f64 g 1/18) (pow.f64 g 1/18))
(pow.f64 (pow.f64 g 1/36) 4)
(pow.f64 (pow.f64 g 1/72) 8)
(pow.f64 g 1/9)
(*.f64 (pow.f64 g 1/18) (pow.f64 g 1/18))
(pow.f64 (pow.f64 g 1/36) 4)
(pow.f64 (pow.f64 g 1/72) 8)
(pow.f64 g 1/9)
(*.f64 (pow.f64 g 1/18) (pow.f64 g 1/18))
(pow.f64 (pow.f64 g 1/36) 4)
(pow.f64 (pow.f64 g 1/72) 8)
(pow.f64 g 1/9)
(*.f64 (pow.f64 g 1/18) (pow.f64 g 1/18))
(pow.f64 (pow.f64 g 1/36) 4)
(pow.f64 (pow.f64 g 1/72) 8)
(pow.f64 g 1/9)
(*.f64 (pow.f64 g 1/18) (pow.f64 g 1/18))
(pow.f64 (pow.f64 g 1/36) 4)
(pow.f64 (pow.f64 g 1/72) 8)
(pow.f64 g 1/9)
(*.f64 (pow.f64 g 1/18) (pow.f64 g 1/18))
(pow.f64 (pow.f64 g 1/36) 4)
(pow.f64 (pow.f64 g 1/72) 8)
(.f64 (pow.f64 (.f64 -1 g) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(.f64 (.f64 (pow.f64 (neg.f64 g) 1/18) (pow.f64 (neg.f64 g) 1/18)) (cbrt.f64 (cbrt.f64 -1)))
(.f64 (pow.f64 (neg.f64 g) 1/18) (.f64 (pow.f64 (neg.f64 g) 1/18) (cbrt.f64 (cbrt.f64 -1))))
(*.f64 (pow.f64 (pow.f64 (neg.f64 g) 1/36) 4) (cbrt.f64 (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 -1 g) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(.f64 (.f64 (pow.f64 (neg.f64 g) 1/18) (pow.f64 (neg.f64 g) 1/18)) (cbrt.f64 (cbrt.f64 -1)))
(.f64 (pow.f64 (neg.f64 g) 1/18) (.f64 (pow.f64 (neg.f64 g) 1/18) (cbrt.f64 (cbrt.f64 -1))))
(*.f64 (pow.f64 (pow.f64 (neg.f64 g) 1/36) 4) (cbrt.f64 (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 -1 g) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(.f64 (.f64 (pow.f64 (neg.f64 g) 1/18) (pow.f64 (neg.f64 g) 1/18)) (cbrt.f64 (cbrt.f64 -1)))
(.f64 (pow.f64 (neg.f64 g) 1/18) (.f64 (pow.f64 (neg.f64 g) 1/18) (cbrt.f64 (cbrt.f64 -1))))
(*.f64 (pow.f64 (pow.f64 (neg.f64 g) 1/36) 4) (cbrt.f64 (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 -1 g) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(.f64 (.f64 (pow.f64 (neg.f64 g) 1/18) (pow.f64 (neg.f64 g) 1/18)) (cbrt.f64 (cbrt.f64 -1)))
(.f64 (pow.f64 (neg.f64 g) 1/18) (.f64 (pow.f64 (neg.f64 g) 1/18) (cbrt.f64 (cbrt.f64 -1))))
(*.f64 (pow.f64 (pow.f64 (neg.f64 g) 1/36) 4) (cbrt.f64 (cbrt.f64 -1)))

eval200.0ms (4%)

Compiler: Compiled 5674 to 3886 computations (31.5% saved)

prune168.0ms (3.4%)

Pruning

30 alts after pruning (23 fresh and 7 done)

	Pruned	Kept	Total
New	429	9	438
Fresh	5	14	19
Picked	0	1	1
Done	1	6	7
Total	435	30	465

Error

0.0b

Counts

465 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	15.8b	(/.f64 1 (cbrt.f64 (/.f64 2 (/.f64 g a))))
	37.8b	(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) -2))
	1.2b	(/.f64 1 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 a) (/.f64 1 (cbrt.f64 g)))))
▶	15.4b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	0.9b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
✓	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
	15.5b	(cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 g (*.f64 2 a))) 3))
✓	0.9b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
▶	0.8b	(.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (.f64 g 1/2)))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	1.1b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
	35.5b	(-.f64 (+.f64 1 (cbrt.f64 (/.f64 g (*.f64 2 a)))) 1)
▶	15.8b	(cbrt.f64 (/.f64 1/2 (/.f64 a g)))
	31.0b	(pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))) 2)
	30.9b	(/.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (cbrt.f64 (.f64 4 (.f64 a a)))) (cbrt.f64 (cbrt.f64 (.f64 2 a)))))
▶	45.9b	(cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 3)))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
	1.2b	(.f64 (cbrt.f64 g) (/.f64 1 (.f64 (cbrt.f64 a) (cbrt.f64 2))))
	1.6b	(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
✓	1.4b	(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (cbrt.f64 (*.f64 2 a)))
▶	45.5b	(/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (.f64 4 (.f64 a a)))))
✓	15.4b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	1.5b	(/.f64 (/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 a))) 2)) (cbrt.f64 (cbrt.f64 (.f64 2 a))))
	39.7b	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
	1.4b	(/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) 3))
	15.5b	(/.f64 1 (*.f64 (cbrt.f64 (/.f64 a g)) (cbrt.f64 2)))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	0.9b	(/.f64 1 (.f64 (/.f64 1 (cbrt.f64 g)) (cbrt.f64 (.f64 2 a))))
✓	15.4b	(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
	15.2b	(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))

Compiler

Compiled 604 to 490 computations (18.9% saved)

localize25.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (cbrt.f64 a))
✓	0.3b	(.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (.f64 g 1/2)))
	0.6b	(cbrt.f64 a)
	0.6b	(cbrt.f64 (*.f64 g 1/2))

Compiler

Compiled 28 to 18 computations (35.7% saved)

series7.0ms (0.1%)

Counts

2 → 0

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (.f64 g 1/2)))
1.0ms	a	@	-inf	(/.f64 1 (cbrt.f64 a))
1.0ms	a	@	0	(.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (.f64 g 1/2)))
1.0ms	a	@	-inf	(.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (.f64 g 1/2)))
1.0ms	a	@	0	(/.f64 1 (cbrt.f64 a))

rewrite76.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

846×	`pow1_binary64`
784×	`add-log-exp_binary64`
784×	`log1p-expm1-u_binary64`
784×	`expm1-log1p-u_binary64`
765×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	195	15
2	2196	15

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs
(.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (.f64 g 1/2)))
(/.f64 1 (cbrt.f64 a))

Outputs

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

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

simplify14.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

46 → 46

Calls

Call 1

Inputs

Outputs

localize14.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1/2 (/.f64 a g))
✓	15.1b	(cbrt.f64 (/.f64 1/2 (/.f64 a g)))

Compiler

Compiled 19 to 9 computations (52.6% saved)

series6.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(cbrt.f64 (/.f64 1/2 (/.f64 a g)))
1.0ms	a	@	-inf	(cbrt.f64 (/.f64 1/2 (/.f64 a g)))
1.0ms	g	@	inf	(cbrt.f64 (/.f64 1/2 (/.f64 a g)))
0.0ms	a	@	inf	(cbrt.f64 (/.f64 1/2 (/.f64 a g)))
0.0ms	g	@	-inf	(cbrt.f64 (/.f64 1/2 (/.f64 a g)))

rewrite88.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

777×	`pow1_binary64`
727×	`add-log-exp_binary64`
727×	`log1p-expm1-u_binary64`
727×	`expm1-log1p-u_binary64`
711×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	153	16
2	1983	16

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 1/2 (/.f64 a g)))
(/.f64 1/2 (/.f64 a g))

Outputs

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

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

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

81 → 57

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))

Outputs
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.5b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
✓	15.1b	(cbrt.f64 (/.f64 g a))

Compiler

Compiled 21 to 10 computations (52.4% saved)

series5.0ms (0.1%)

Counts

2 → 0

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
0.0ms	a	@	-inf	(cbrt.f64 (/.f64 g a))
0.0ms	g	@	0	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
0.0ms	g	@	0	(cbrt.f64 (/.f64 g a))
0.0ms	g	@	-inf	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))

rewrite67.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

772×	`pow1_binary64`
717×	`add-log-exp_binary64`
717×	`log1p-expm1-u_binary64`
717×	`expm1-log1p-u_binary64`
699×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	163	15
2	1955	15

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 g a))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))

Outputs

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

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

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

39 → 39

Calls

Call 1

Inputs

Outputs

localize16.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (*.f64 1/2 (/.f64 g a)) 3)
✓	15.1b	(cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 3)))
✓	29.5b	(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 3))

Compiler

Compiled 38 to 22 computations (42.1% saved)

series14.0ms (0.3%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	g	@	0	(pow.f64 (*.f64 1/2 (/.f64 g a)) 3)
2.0ms	a	@	-inf	(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 3))
2.0ms	g	@	-inf	(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 3))
1.0ms	a	@	0	(pow.f64 (*.f64 1/2 (/.f64 g a)) 3)
1.0ms	g	@	-inf	(pow.f64 (*.f64 1/2 (/.f64 g a)) 3)

rewrite95.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

899×	`pow1_binary64`
844×	`add-log-exp_binary64`
843×	`log1p-expm1-u_binary64`
843×	`expm1-log1p-u_binary64`
823×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	217	26
2	2344	26

Stop Event

1×	node limit

Counts

3 → 90

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 3))
(cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 3)))
(pow.f64 (*.f64 1/2 (/.f64 g a)) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/2 (/.f64 g a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 g a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 g (*.f64 (/.f64 1 a) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 g a) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 g a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/2 (/.f64 g a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 g a) 2)) (*.f64 (cbrt.f64 (/.f64 g a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 g a)) (*.f64 (sqrt.f64 (/.f64 g a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/2 (/.f64 g a))) (sqrt.f64 (*.f64 1/2 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 g) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 1/2 (/.f64 g a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/8 1/3) (/.f64 g a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 a) 2)) (/.f64 g (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sqrt.f64 a)) (/.f64 g (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (/.f64 g a) 2))) (cbrt.f64 (/.f64 g a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sqrt.f64 (/.f64 g a))) (sqrt.f64 (/.f64 g a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 2) 1) (cbrt.f64 (*.f64 1/2 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 2) (pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6)) (pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 a g))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 1/2 g)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 g) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/2 g)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 g) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 g) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 g) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 g) 1/2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (neg.f64 g)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8 (pow.f64 (/.f64 g a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 g a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 g a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 g a) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 g a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 g a))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6) (pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 1/2 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 g a))) 1/3) (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 g a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 1/2 g)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8 (pow.f64 (/.f64 g a) 3)) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 g a)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/8 (pow.f64 (/.f64 g a) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 g a) (*.f64 (pow.f64 (/.f64 g a) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 g a) (*.f64 1/2 (*.f64 (pow.f64 (/.f64 g a) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/8 (pow.f64 (/.f64 g a) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 g a)) (*.f64 (pow.f64 (/.f64 g a) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/8 (pow.f64 (/.f64 g a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (pow.f64 (/.f64 g a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 g a) 2) 1/4) (*.f64 1/2 (/.f64 g a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 2) (*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) (*.f64 (pow.f64 (/.f64 g a) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/2 (/.f64 g a))) (*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 g a))) (*.f64 (pow.f64 (/.f64 g a) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 g a) 3) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 3/2) (pow.f64 (*.f64 1/2 (/.f64 g a)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 2) 3) (*.f64 1/2 (/.f64 g a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 g a))) 3) (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 g a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (/.f64 g a) 2) 1/4) 1/2) (/.f64 g a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (/.f64 g a) 2) 1/4) (/.f64 g a)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (/.f64 g a) 2) 1/4) 1) (*.f64 1/2 (/.f64 g a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (/.f64 g a) 2) 1/4) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 2)) (cbrt.f64 (*.f64 1/2 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (/.f64 g a) 2) 1/4) (sqrt.f64 (*.f64 1/2 (/.f64 g a)))) (sqrt.f64 (*.f64 1/2 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 1/2 g) 3) (pow.f64 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/2 g) (*.f64 (pow.f64 (/.f64 g a) 2) 1/4)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (/.f64 g a) 2) 1/4) (*.f64 1/2 g)) a)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/8) (pow.f64 (/.f64 g a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/8 (pow.f64 (/.f64 g a) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/8 (pow.f64 (/.f64 g a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/8 (pow.f64 (/.f64 g a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 1/2 (/.f64 g a)))))))))

simplify108.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

764×	`associate-/l/_binary64`
650×	`associate-l_binary64`
637×	`associate-/r/_binary64`
572×	`associate-r_binary64`
335×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	512
1	44	512
2	124	512
3	449	440
4	1872	440
5	4635	440
6	5240	440
7	5391	440
8	5908	440
9	6871	440

Stop Event

1×	node limit

Counts

138 → 94

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(.f64 -1 (/.f64 (.f64 g (cbrt.f64 -1/8)) a))
(.f64 -1 (/.f64 (.f64 g (cbrt.f64 -1/8)) a))
(.f64 -1 (/.f64 (.f64 g (cbrt.f64 -1/8)) a))
(.f64 -1 (/.f64 (.f64 g (cbrt.f64 -1/8)) a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(.f64 -1 (/.f64 (.f64 g (cbrt.f64 -1/8)) a))
(.f64 -1 (/.f64 (.f64 g (cbrt.f64 -1/8)) a))
(.f64 -1 (/.f64 (.f64 g (cbrt.f64 -1/8)) a))
(.f64 -1 (/.f64 (.f64 g (cbrt.f64 -1/8)) a))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))

Outputs
(*.f64 1/2 (/.f64 g a))
(/.f64 g (/.f64 a 1/2))
(*.f64 1/2 (/.f64 g a))
(/.f64 g (/.f64 a 1/2))
(*.f64 1/2 (/.f64 g a))
(/.f64 g (/.f64 a 1/2))
(*.f64 1/2 (/.f64 g a))
(/.f64 g (/.f64 a 1/2))
(*.f64 1/2 (/.f64 g a))
(/.f64 g (/.f64 a 1/2))
(*.f64 1/2 (/.f64 g a))
(/.f64 g (/.f64 a 1/2))
(*.f64 1/2 (/.f64 g a))
(/.f64 g (/.f64 a 1/2))
(*.f64 1/2 (/.f64 g a))
(/.f64 g (/.f64 a 1/2))
(.f64 -1 (/.f64 (.f64 g (cbrt.f64 -1/8)) a))
(neg.f64 (/.f64 (*.f64 g (cbrt.f64 -1/8)) a))
(*.f64 (/.f64 g a) (neg.f64 (cbrt.f64 -1/8)))
(*.f64 g (neg.f64 (/.f64 (cbrt.f64 -1/8) a)))
(.f64 -1 (/.f64 (.f64 g (cbrt.f64 -1/8)) a))
(neg.f64 (/.f64 (*.f64 g (cbrt.f64 -1/8)) a))
(*.f64 (/.f64 g a) (neg.f64 (cbrt.f64 -1/8)))
(*.f64 g (neg.f64 (/.f64 (cbrt.f64 -1/8) a)))
(.f64 -1 (/.f64 (.f64 g (cbrt.f64 -1/8)) a))
(neg.f64 (/.f64 (*.f64 g (cbrt.f64 -1/8)) a))
(*.f64 (/.f64 g a) (neg.f64 (cbrt.f64 -1/8)))
(*.f64 g (neg.f64 (/.f64 (cbrt.f64 -1/8) a)))
(.f64 -1 (/.f64 (.f64 g (cbrt.f64 -1/8)) a))
(neg.f64 (/.f64 (*.f64 g (cbrt.f64 -1/8)) a))
(*.f64 (/.f64 g a) (neg.f64 (cbrt.f64 -1/8)))
(*.f64 g (neg.f64 (/.f64 (cbrt.f64 -1/8) a)))
(*.f64 1/2 (/.f64 g a))
(/.f64 g (/.f64 a 1/2))
(*.f64 1/2 (/.f64 g a))
(/.f64 g (/.f64 a 1/2))
(*.f64 1/2 (/.f64 g a))
(/.f64 g (/.f64 a 1/2))
(*.f64 1/2 (/.f64 g a))
(/.f64 g (/.f64 a 1/2))
(*.f64 1/2 (/.f64 g a))
(/.f64 g (/.f64 a 1/2))
(*.f64 1/2 (/.f64 g a))
(/.f64 g (/.f64 a 1/2))
(*.f64 1/2 (/.f64 g a))
(/.f64 g (/.f64 a 1/2))
(*.f64 1/2 (/.f64 g a))
(/.f64 g (/.f64 a 1/2))
(.f64 -1 (/.f64 (.f64 g (cbrt.f64 -1/8)) a))
(neg.f64 (/.f64 (*.f64 g (cbrt.f64 -1/8)) a))
(*.f64 (/.f64 g a) (neg.f64 (cbrt.f64 -1/8)))
(*.f64 g (neg.f64 (/.f64 (cbrt.f64 -1/8) a)))
(.f64 -1 (/.f64 (.f64 g (cbrt.f64 -1/8)) a))
(neg.f64 (/.f64 (*.f64 g (cbrt.f64 -1/8)) a))
(*.f64 (/.f64 g a) (neg.f64 (cbrt.f64 -1/8)))
(*.f64 g (neg.f64 (/.f64 (cbrt.f64 -1/8) a)))
(.f64 -1 (/.f64 (.f64 g (cbrt.f64 -1/8)) a))
(neg.f64 (/.f64 (*.f64 g (cbrt.f64 -1/8)) a))
(*.f64 (/.f64 g a) (neg.f64 (cbrt.f64 -1/8)))
(*.f64 g (neg.f64 (/.f64 (cbrt.f64 -1/8) a)))
(.f64 -1 (/.f64 (.f64 g (cbrt.f64 -1/8)) a))
(neg.f64 (/.f64 (*.f64 g (cbrt.f64 -1/8)) a))
(*.f64 (/.f64 g a) (neg.f64 (cbrt.f64 -1/8)))
(*.f64 g (neg.f64 (/.f64 (cbrt.f64 -1/8) a)))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (pow.f64 (/.f64 g a) 3))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (pow.f64 (/.f64 g a) 3))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (pow.f64 (/.f64 g a) 3))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (pow.f64 (/.f64 g a) 3))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (pow.f64 (/.f64 g a) 3))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (pow.f64 (/.f64 g a) 3))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (pow.f64 (/.f64 g a) 3))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (pow.f64 (/.f64 g a) 3))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (pow.f64 (/.f64 g a) 3))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (pow.f64 (/.f64 g a) 3))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (pow.f64 (/.f64 g a) 3))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (pow.f64 (/.f64 g a) 3))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (pow.f64 (/.f64 g a) 3))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (pow.f64 (/.f64 g a) 3))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (pow.f64 (/.f64 g a) 3))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (pow.f64 (/.f64 g a) 3))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (pow.f64 (/.f64 g a) 3))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (pow.f64 (/.f64 g a) 3))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (pow.f64 (/.f64 g a) 3))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (pow.f64 (/.f64 g a) 3))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (pow.f64 (/.f64 g a) 3))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (pow.f64 (/.f64 g a) 3))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (pow.f64 (/.f64 g a) 3))
(*.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 a 3)))
(*.f64 1/8 (pow.f64 (/.f64 g a) 3))

localize40.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (cbrt.f64 (.f64 4 (.f64 a a))))
✓	0.3b	(/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (.f64 4 (.f64 a a)))))
	0.6b	(cbrt.f64 g)
✓	29.8b	(cbrt.f64 (.f64 4 (.f64 a a)))

Compiler

Compiled 38 to 19 computations (50% saved)

series107.0ms (2.2%)

Counts

3 → 0

Calls

12 calls:

Time	Variable		Point	Expression
48.0ms	g	@	0	(/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (.f64 4 (.f64 a a)))))
28.0ms	a	@	0	(/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (.f64 4 (.f64 a a)))))
23.0ms	a	@	0	(sqrt.f64 (cbrt.f64 (.f64 4 (.f64 a a))))
1.0ms	a	@	inf	(/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (.f64 4 (.f64 a a)))))
1.0ms	a	@	inf	(sqrt.f64 (cbrt.f64 (.f64 4 (.f64 a a))))

rewrite141.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

911×	`pow1_binary64`
849×	`add-log-exp_binary64`
849×	`log1p-expm1-u_binary64`
849×	`expm1-log1p-u_binary64`
825×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	203	24
2	2406	24

Stop Event

1×	node limit

Counts

3 → 80

Calls

Call 1

Inputs
(cbrt.f64 (.f64 4 (.f64 a a)))
(/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (.f64 4 (.f64 a a)))))
(sqrt.f64 (cbrt.f64 (.f64 4 (.f64 a a))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 4 (*.f64 a a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4 (*.f64 a a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a 2)) (cbrt.f64 (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 4 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 4) (pow.f64 (cbrt.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))) (cbrt.f64 (cbrt.f64 (*.f64 16 (pow.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 a 2))) (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 16 (pow.f64 a 4)))) (cbrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 a 2))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 a 2))) (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 a 2)) (sqrt.f64 (cbrt.f64 (*.f64 a 2)))) (sqrt.f64 (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4 a)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 4 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 16 (pow.f64 a 4))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 4 a) 1/3) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 a 2)) (cbrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a))))) (cbrt.f64 (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (*.f64 a a)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (*.f64 a a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 16 (pow.f64 a 4))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 16 (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))))))))

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 a 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 a 2))) (cbrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))) (cbrt.f64 (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 a 2))) (sqrt.f64 (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 16 (pow.f64 a 4))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 4)) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (cbrt.f64 (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 4) 1/2) (pow.f64 (pow.f64 (cbrt.f64 a) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 16 (pow.f64 a 4)))) 1/2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (*.f64 a a)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (*.f64 a a))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 a 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 a 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 a 2))))))))

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

80 → 80

Calls

Call 1

Inputs

Outputs

eval144.0ms (2.9%)

Compiler: Compiled 4309 to 2831 computations (34.3% saved)

prune118.0ms (2.4%)

Pruning

30 alts after pruning (20 fresh and 10 done)

	Pruned	Kept	Total
New	362	10	372
Fresh	8	10	18
Picked	1	0	1
Done	1	10	11
Total	372	30	402

Error

0.0b

Counts

402 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	1.2b	(/.f64 1 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 a) (/.f64 1 (cbrt.f64 g)))))
	15.3b	(/.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 a g)))
	15.8b	(/.f64 1 (cbrt.f64 (/.f64 2 (/.f64 g a))))
	0.9b	(/.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 a) (cbrt.f64 1/2)))
✓	15.4b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
✓	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
✓	0.9b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	15.5b	(cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 g 1/2) a)) 3))
	0.9b	(.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1 a))))
✓	0.8b	(.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (.f64 g 1/2)))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	1.1b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
✓	15.8b	(cbrt.f64 (/.f64 1/2 (/.f64 a g)))
	31.0b	(pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))) 2)
	0.9b	(*.f64 (cbrt.f64 1/2) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
✓	15.4b	(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
	1.6b	(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
✓	1.4b	(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (cbrt.f64 (*.f64 2 a)))
	1.4b	(/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a 2))) 3))
	15.3b	(*.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 (/.f64 a g))))
✓	15.4b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	15.2b	(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
	15.4b	(cbrt.f64 (*.f64 g (neg.f64 (/.f64 (cbrt.f64 -1/8) a))))
	1.6b	(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 a))) 3) (cbrt.f64 (.f64 g 1/2)))
	15.5b	(/.f64 1 (*.f64 (cbrt.f64 (/.f64 a g)) (cbrt.f64 2)))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	35.5b	(-.f64 (+.f64 1 (cbrt.f64 (/.f64 (*.f64 g 1/2) a))) 1)
	0.9b	(/.f64 1 (.f64 (/.f64 1 (cbrt.f64 g)) (cbrt.f64 (.f64 2 a))))
	1.2b	(.f64 (cbrt.f64 g) (/.f64 1 (.f64 (cbrt.f64 a) (cbrt.f64 2))))
	39.7b	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)

Compiler

Compiled 319 to 259 computations (18.8% saved)

regimes270.0ms (5.4%)

Counts

52 → 1

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 1/2 (/.f64 a g)))
(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
(cbrt.f64 (/.f64 g (*.f64 2 a)))
(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
(/.f64 1 (cbrt.f64 (/.f64 2 (/.f64 g a))))
(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
(-.f64 (+.f64 1 (cbrt.f64 (/.f64 (*.f64 g 1/2) a))) 1)
(-.f64 (+.f64 1 (cbrt.f64 (/.f64 g (*.f64 2 a)))) 1)
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 1)
(/.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 a g)))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
(cbrt.f64 (*.f64 g (neg.f64 (/.f64 (cbrt.f64 -1/8) a))))
(*.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 (/.f64 a g))))
(.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (.f64 g 1/2)))
(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
(/.f64 1 (*.f64 (cbrt.f64 (/.f64 a g)) (cbrt.f64 2)))
(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
(/.f64 1 (.f64 (/.f64 1 (cbrt.f64 g)) (cbrt.f64 (.f64 2 a))))
(/.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 a) (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 1/2) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))
(cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 g 1/2) a)) 3))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) -2))
(cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 3)))
(cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 g (*.f64 2 a))) 3))
(pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) -2))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 3)
(.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1 a))))
(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 a))))
(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
(.f64 (cbrt.f64 g) (/.f64 1 (.f64 (cbrt.f64 a) (cbrt.f64 2))))
(/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (.f64 4 (.f64 a a)))))
(/.f64 1 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 a) (/.f64 1 (cbrt.f64 g)))))
(/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a 2))) 3))
(pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))) 2)
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (cbrt.f64 (*.f64 2 a)))
(/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) 3))
(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 a))) 3) (cbrt.f64 (.f64 g 1/2)))
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
(/.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (cbrt.f64 (.f64 4 (.f64 a a)))) (cbrt.f64 (cbrt.f64 (.f64 2 a)))))
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 (cbrt.f64 g))))
(/.f64 (/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 a))) 2)) (cbrt.f64 (cbrt.f64 (.f64 2 a))))
(.f64 (cbrt.f64 g) (.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 2 a)))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 2 a)) -2))))

Outputs
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))

Calls

7 calls:

57.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))
52.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))
31.0ms	(*.f64 2 a)
30.0ms	g
28.0ms	a

Results

Error	Segments	Branch
0.8b	1	`g`
0.8b	1	`a`
0.8b	1	`(cbrt.f64 (/.f64 g (*.f64 2 a)))`
0.8b	1	`(cbrt.f64 (/.f64 g (*.f64 2 a)))`
0.8b	1	`(/.f64 g (*.f64 2 a))`
0.8b	1	`(/.f64 g (*.f64 2 a))`
0.8b	1	`(*.f64 2 a)`

Compiler

Compiled 530 to 354 computations (33.2% saved)

regimes72.0ms (1.4%)

Counts

13 → 1

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 1/2 (/.f64 a g)))
(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
(cbrt.f64 (/.f64 g (*.f64 2 a)))
(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
(/.f64 1 (cbrt.f64 (/.f64 2 (/.f64 g a))))
(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
(-.f64 (+.f64 1 (cbrt.f64 (/.f64 (*.f64 g 1/2) a))) 1)
(-.f64 (+.f64 1 (cbrt.f64 (/.f64 g (*.f64 2 a)))) 1)
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 1)
(/.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 a g)))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))

Outputs
(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))

Calls

8 calls:

11.0ms	(/.f64 g (*.f64 2 a))
10.0ms	(*.f64 2 a)
9.0ms	g
8.0ms	(*.f64 2 a)
8.0ms	a

Results

Error	Segments	Branch
0.8b	1	`g`
0.8b	1	`a`
0.8b	1	`(cbrt.f64 (/.f64 g (*.f64 2 a)))`
0.8b	1	`(cbrt.f64 (/.f64 g (*.f64 2 a)))`
0.8b	1	`(/.f64 g (*.f64 2 a))`
0.8b	1	`(/.f64 g (*.f64 2 a))`
0.8b	1	`(*.f64 2 a)`
0.8b	1	`(*.f64 2 a)`

Compiler

Compiled 148 to 105 computations (29.1% saved)

regimes114.0ms (2.3%)

Counts

12 → 1

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 1/2 (/.f64 a g)))
(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
(cbrt.f64 (/.f64 g (*.f64 2 a)))
(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
(/.f64 1 (cbrt.f64 (/.f64 2 (/.f64 g a))))
(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
(-.f64 (+.f64 1 (cbrt.f64 (/.f64 (*.f64 g 1/2) a))) 1)
(-.f64 (+.f64 1 (cbrt.f64 (/.f64 g (*.f64 2 a)))) 1)
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 1)
(/.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 a g)))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))

Outputs
(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))

Calls

7 calls:

66.0ms	g
9.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))
8.0ms	a
7.0ms	(/.f64 g (*.f64 2 a))
7.0ms	(*.f64 2 a)

Results

Error	Segments	Branch
15.2b	1	`g`
15.2b	1	`a`
15.2b	1	`(cbrt.f64 (/.f64 g (*.f64 2 a)))`
15.2b	1	`(cbrt.f64 (/.f64 g (*.f64 2 a)))`
15.2b	1	`(/.f64 g (*.f64 2 a))`
15.2b	1	`(/.f64 g (*.f64 2 a))`
15.2b	1	`(*.f64 2 a)`

Compiler

Compiled 136 to 96 computations (29.4% saved)

regimes29.0ms (0.6%)

Counts

5 → 1

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 1/2 (/.f64 a g)))
(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
(cbrt.f64 (/.f64 g (*.f64 2 a)))
(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
(/.f64 1 (cbrt.f64 (/.f64 2 (/.f64 g a))))

Outputs
(cbrt.f64 (/.f64 g (*.f64 2 a)))

Calls

5 calls:

9.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))
5.0ms	(*.f64 2 a)
5.0ms	g
5.0ms	a
4.0ms	(/.f64 g (*.f64 2 a))

Results

Error	Segments	Branch
15.4b	1	`g`
15.4b	1	`a`
15.4b	1	`(cbrt.f64 (/.f64 g (*.f64 2 a)))`
15.4b	1	`(/.f64 g (*.f64 2 a))`
15.4b	1	`(*.f64 2 a)`

Compiler

Compiled 61 to 43 computations (29.5% saved)

regimes9.0ms (0.2%)

Accuracy

Total -0.5b remaining (-3%)

Threshold costs -0.5b (-3%)

Counts

2 → 1

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 1/2 (/.f64 a g)))
(cbrt.f64 (*.f64 (/.f64 1/2 a) g))

Outputs
(cbrt.f64 (*.f64 (/.f64 1/2 a) g))

Calls

2 calls:

5.0ms	g
3.0ms	a

Results

Error	Segments	Branch
15.4b	1	`g`
15.4b	1	`a`

Compiler

Compiled 20 to 14 computations (30% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	61
1	30	61

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
(cbrt.f64 (/.f64 g (*.f64 2 a)))
(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
(cbrt.f64 (/.f64 1/2 (/.f64 a g)))

Outputs
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
(cbrt.f64 (/.f64 g (*.f64 2 a)))
(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
(cbrt.f64 (*.f64 g (/.f64 1/2 a)))
(cbrt.f64 (/.f64 1/2 (/.f64 a g)))

Compiler

Compiled 52 to 40 computations (23.1% saved)

soundness0.0ms (0%)

end74.0ms (1.5%)

Compiler: Compiled 42 to 30 computations (28.6% saved)