Details

analyze41.0ms (0.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
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)

sample949.0ms (18.5%)

Results

936.0ms

8256×

body

256

valid

preprocess19.0ms (0.4%)

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)

simplify8.0ms (0.1%)

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

15.7b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.7b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	15.4b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series9.0ms (0.2%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	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)))

rewrite71.0ms (1.4%)

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)))))))))

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

27 → 27

Calls

Call 1

Inputs

Outputs

eval12.0ms (0.2%)

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

prune23.0ms (0.5%)

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
✓	15.7b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	42.8b	(exp.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))
	18.3b	(.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)))))
▶	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
▶	15.3b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
	0.8b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
▶	16.3b	(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)))
▶	0.9b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
▶	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))

Compiler

Compiled 208 to 164 computations (21.2% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
✓	0.5b	(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
2.0ms	a	@	0	(cbrt.f64 (*.f64 2 a))
1.0ms	a	@	-inf	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
1.0ms	g	@	0	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
1.0ms	a	@	-inf	(cbrt.f64 (*.f64 2 a))
1.0ms	g	@	-inf	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))

rewrite102.0ms (2%)

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)))))))))

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

71 → 71

Calls

Call 1

Inputs

Outputs

localize23.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 2 (/.f64 a g))
✓	0.3b	(/.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)

series23.0ms (0.4%)

Counts

3 → 0

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	a	@	0	(*.f64 2 (/.f64 a g))
2.0ms	g	@	0	(*.f64 2 (/.f64 a g))
2.0ms	g	@	inf	(cbrt.f64 (*.f64 2 (/.f64 a g)))
1.0ms	a	@	inf	(*.f64 2 (/.f64 a g))
1.0ms	g	@	-inf	(cbrt.f64 (*.f64 2 (/.f64 a g)))

rewrite92.0ms (1.8%)

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))))))))

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

69 → 69

Calls

Call 1

Inputs

Outputs

localize23.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
✓	0.5b	(cbrt.f64 (*.f64 g 1/2))
✓	0.6b	(cbrt.f64 a)

Compiler

Compiled 21 to 13 computations (38.1% saved)

series10.0ms (0.2%)

Counts

3 → 0

Calls

12 calls:

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

rewrite87.0ms (1.7%)

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

Outputs

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

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

72 → 72

Calls

Call 1

Inputs

Outputs

localize30.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
✓	0.3b	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
	0.5b	(cbrt.f64 g)
	0.6b	(cbrt.f64 (*.f64 2 a))

Compiler

Compiled 31 to 20 computations (35.5% saved)

series10.0ms (0.2%)

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))
1.0ms	g	@	inf	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
1.0ms	a	@	inf	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
1.0ms	g	@	0	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))

rewrite79.0ms (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)))))))))

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

75 → 75

Calls

Call 1

Inputs

Outputs

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 1/2 (/.f64 g a))
✓	0.6b	(cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))
✓	0.7b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 3)
✓	15.4b	(cbrt.f64 (*.f64 1/2 (/.f64 g a)))

Compiler

Compiled 36 to 20 computations (44.4% saved)

series103.0ms (2%)

Counts

4 → 48

Calls

24 calls:

Time	Variable		Point	Expression
33.0ms	g	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 3)
20.0ms	g	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 3)
19.0ms	a	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 3)
9.0ms	a	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 3)
8.0ms	g	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 3)

rewrite85.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

887×	`pow1_binary64`
832×	`add-log-exp_binary64`
831×	`log1p-expm1-u_binary64`
831×	`expm1-log1p-u_binary64`
812×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	213	36
2	2293	36

Stop Event

1×	node limit

Counts

4 → 94

Calls

Call 1

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

simplify67.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

342×	`fma-neg_binary64`
304×	`associate-/l*_binary64`
277×	`distribute-rgt-in_binary64`
256×	`distribute-lft-out_binary64`
255×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	65	1168
1	185	1064
2	455	1032
3	1392	976
4	3676	880

Stop Event

1×	node limit

Counts

142 → 85

Calls

Call 1

Inputs
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 3)))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 3)))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 3)))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 3)))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))) 3)))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))) 3)))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))) 3)))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))) 3)))
(.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))) 3)) (pow.f64 1 1/3))
(.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))) 3)) (pow.f64 1 1/3))
(.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))) 3)) (pow.f64 1 1/3))
(.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))) 3)) (pow.f64 1 1/3))
(.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (.f64 -1 (log.f64 a))))) 3) (cbrt.f64 1/2)) (pow.f64 1 1/3))
(.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (.f64 -1 (log.f64 a))))) 3) (cbrt.f64 1/2)) (pow.f64 1 1/3))
(.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (.f64 -1 (log.f64 a))))) 3) (cbrt.f64 1/2)) (pow.f64 1 1/3))
(.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (.f64 -1 (log.f64 a))))) 3) (cbrt.f64 1/2)) (pow.f64 1 1/3))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 3)))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 3)))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 3)))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 3)))
(.f64 (.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) 3) (cbrt.f64 -1/2)) (pow.f64 1 1/3))
(.f64 (.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) 3) (cbrt.f64 -1/2)) (pow.f64 1 1/3))
(.f64 (.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) 3) (cbrt.f64 -1/2)) (pow.f64 1 1/3))
(.f64 (.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) 3) (cbrt.f64 -1/2)) (pow.f64 1 1/3))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))))
(.f64 (pow.f64 (.f64 (cbrt.f64 -1/2) 1) 1/3) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))))
(.f64 (pow.f64 (.f64 (cbrt.f64 -1/2) 1) 1/3) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))))
(.f64 (pow.f64 (.f64 (cbrt.f64 -1/2) 1) 1/3) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))))
(.f64 (pow.f64 (.f64 (cbrt.f64 -1/2) 1) 1/3) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))))
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (.f64 -1 (log.f64 a))))) (pow.f64 (.f64 1 (cbrt.f64 1/2)) 1/3))
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (.f64 -1 (log.f64 a))))) (pow.f64 (.f64 1 (cbrt.f64 1/2)) 1/3))
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (.f64 -1 (log.f64 a))))) (pow.f64 (.f64 1 (cbrt.f64 1/2)) 1/3))
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (.f64 -1 (log.f64 a))))) (pow.f64 (.f64 1 (cbrt.f64 1/2)) 1/3))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))

Outputs
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 3)))
(.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) 3))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) 3))
(.f64 (cbrt.f64 1/2) (exp.f64 (.f64 (-.f64 (log.f64 g) (log.f64 a)) 1/3)))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (/.f64 g a) 1/18) 6))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 3)))
(.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) 3))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) 3))
(.f64 (cbrt.f64 1/2) (exp.f64 (.f64 (-.f64 (log.f64 g) (log.f64 a)) 1/3)))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (/.f64 g a) 1/18) 6))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 3)))
(.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) 3))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) 3))
(.f64 (cbrt.f64 1/2) (exp.f64 (.f64 (-.f64 (log.f64 g) (log.f64 a)) 1/3)))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (/.f64 g a) 1/18) 6))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 3)))
(.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) 3))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) 3))
(.f64 (cbrt.f64 1/2) (exp.f64 (.f64 (-.f64 (log.f64 g) (log.f64 a)) 1/3)))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (/.f64 g a) 1/18) 6))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))) 3)))
(.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) 3))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) 3))
(.f64 (cbrt.f64 1/2) (exp.f64 (.f64 (-.f64 (log.f64 g) (log.f64 a)) 1/3)))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (/.f64 g a) 1/18) 6))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))) 3)))
(.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) 3))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) 3))
(.f64 (cbrt.f64 1/2) (exp.f64 (.f64 (-.f64 (log.f64 g) (log.f64 a)) 1/3)))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (/.f64 g a) 1/18) 6))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))) 3)))
(.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) 3))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) 3))
(.f64 (cbrt.f64 1/2) (exp.f64 (.f64 (-.f64 (log.f64 g) (log.f64 a)) 1/3)))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (/.f64 g a) 1/18) 6))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))) 3)))
(.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) 3))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) 3))
(.f64 (cbrt.f64 1/2) (exp.f64 (.f64 (-.f64 (log.f64 g) (log.f64 a)) 1/3)))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (/.f64 g a) 1/18) 6))
(.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))) 3)) (pow.f64 1 1/3))
(.f64 1 (.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))) 3)))
(*.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))) 3))
(.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))) 3))
(.f64 (cbrt.f64 -1/2) (exp.f64 (.f64 (-.f64 (-.f64 (log.f64 g) (log.f64 -1)) (log.f64 a)) 1/3)))
(*.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (/.f64 (neg.f64 g) a) 1/18) 6))
(.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))) 3)) (pow.f64 1 1/3))
(.f64 1 (.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))) 3)))
(*.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))) 3))
(.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))) 3))
(.f64 (cbrt.f64 -1/2) (exp.f64 (.f64 (-.f64 (-.f64 (log.f64 g) (log.f64 -1)) (log.f64 a)) 1/3)))
(*.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (/.f64 (neg.f64 g) a) 1/18) 6))
(.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))) 3)) (pow.f64 1 1/3))
(.f64 1 (.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))) 3)))
(*.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))) 3))
(.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))) 3))
(.f64 (cbrt.f64 -1/2) (exp.f64 (.f64 (-.f64 (-.f64 (log.f64 g) (log.f64 -1)) (log.f64 a)) 1/3)))
(*.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (/.f64 (neg.f64 g) a) 1/18) 6))
(.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))) 3)) (pow.f64 1 1/3))
(.f64 1 (.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))) 3)))
(*.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))) 3))
(.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))) 3))
(.f64 (cbrt.f64 -1/2) (exp.f64 (.f64 (-.f64 (-.f64 (log.f64 g) (log.f64 -1)) (log.f64 a)) 1/3)))
(*.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (/.f64 (neg.f64 g) a) 1/18) 6))
(.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (.f64 -1 (log.f64 a))))) 3) (cbrt.f64 1/2)) (pow.f64 1 1/3))
(.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) 3))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) 3))
(.f64 (cbrt.f64 1/2) (exp.f64 (.f64 (-.f64 (log.f64 g) (log.f64 a)) 1/3)))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (/.f64 g a) 1/18) 6))
(.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (.f64 -1 (log.f64 a))))) 3) (cbrt.f64 1/2)) (pow.f64 1 1/3))
(.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) 3))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) 3))
(.f64 (cbrt.f64 1/2) (exp.f64 (.f64 (-.f64 (log.f64 g) (log.f64 a)) 1/3)))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (/.f64 g a) 1/18) 6))
(.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (.f64 -1 (log.f64 a))))) 3) (cbrt.f64 1/2)) (pow.f64 1 1/3))
(.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) 3))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) 3))
(.f64 (cbrt.f64 1/2) (exp.f64 (.f64 (-.f64 (log.f64 g) (log.f64 a)) 1/3)))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (/.f64 g a) 1/18) 6))
(.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (.f64 -1 (log.f64 a))))) 3) (cbrt.f64 1/2)) (pow.f64 1 1/3))
(.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) 3))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) 3))
(.f64 (cbrt.f64 1/2) (exp.f64 (.f64 (-.f64 (log.f64 g) (log.f64 a)) 1/3)))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (/.f64 g a) 1/18) 6))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 3)))
(.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) 3))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) 3))
(.f64 (cbrt.f64 1/2) (exp.f64 (.f64 (-.f64 (log.f64 g) (log.f64 a)) 1/3)))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (/.f64 g a) 1/18) 6))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 3)))
(.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) 3))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) 3))
(.f64 (cbrt.f64 1/2) (exp.f64 (.f64 (-.f64 (log.f64 g) (log.f64 a)) 1/3)))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (/.f64 g a) 1/18) 6))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 3)))
(.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) 3))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) 3))
(.f64 (cbrt.f64 1/2) (exp.f64 (.f64 (-.f64 (log.f64 g) (log.f64 a)) 1/3)))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (/.f64 g a) 1/18) 6))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 3)))
(.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) 3))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) 3))
(.f64 (cbrt.f64 1/2) (exp.f64 (.f64 (-.f64 (log.f64 g) (log.f64 a)) 1/3)))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (/.f64 g a) 1/18) 6))
(.f64 (.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) 3) (cbrt.f64 -1/2)) (pow.f64 1 1/3))
(.f64 1 (.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))) 3)))
(*.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))) 3))
(.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))) 3))
(.f64 (cbrt.f64 -1/2) (exp.f64 (.f64 (-.f64 (-.f64 (log.f64 g) (log.f64 -1)) (log.f64 a)) 1/3)))
(*.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (/.f64 (neg.f64 g) a) 1/18) 6))
(.f64 (.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) 3) (cbrt.f64 -1/2)) (pow.f64 1 1/3))
(.f64 1 (.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))) 3)))
(*.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))) 3))
(.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))) 3))
(.f64 (cbrt.f64 -1/2) (exp.f64 (.f64 (-.f64 (-.f64 (log.f64 g) (log.f64 -1)) (log.f64 a)) 1/3)))
(*.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (/.f64 (neg.f64 g) a) 1/18) 6))
(.f64 (.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) 3) (cbrt.f64 -1/2)) (pow.f64 1 1/3))
(.f64 1 (.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))) 3)))
(*.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))) 3))
(.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))) 3))
(.f64 (cbrt.f64 -1/2) (exp.f64 (.f64 (-.f64 (-.f64 (log.f64 g) (log.f64 -1)) (log.f64 a)) 1/3)))
(*.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (/.f64 (neg.f64 g) a) 1/18) 6))
(.f64 (.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) 3) (cbrt.f64 -1/2)) (pow.f64 1 1/3))
(.f64 1 (.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))) 3)))
(*.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))) 3))
(.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))) 3))
(.f64 (cbrt.f64 -1/2) (exp.f64 (.f64 (-.f64 (-.f64 (log.f64 g) (log.f64 -1)) (log.f64 a)) 1/3)))
(*.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (/.f64 (neg.f64 g) a) 1/18) 6))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) (cbrt.f64 (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) (cbrt.f64 (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) (cbrt.f64 (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) (cbrt.f64 (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))))
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) (cbrt.f64 (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))))
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) (cbrt.f64 (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))))
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) (cbrt.f64 (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))))
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) (cbrt.f64 (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (cbrt.f64 -1/2) 1) 1/3) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))) (cbrt.f64 (cbrt.f64 -1/2)))
(.f64 (exp.f64 (.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(.f64 (pow.f64 (.f64 (cbrt.f64 -1/2) 1) 1/3) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))) (cbrt.f64 (cbrt.f64 -1/2)))
(.f64 (exp.f64 (.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(.f64 (pow.f64 (.f64 (cbrt.f64 -1/2) 1) 1/3) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))) (cbrt.f64 (cbrt.f64 -1/2)))
(.f64 (exp.f64 (.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(.f64 (pow.f64 (.f64 (cbrt.f64 -1/2) 1) 1/3) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))) (cbrt.f64 (cbrt.f64 -1/2)))
(.f64 (exp.f64 (.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (.f64 -1 (log.f64 a))))) (pow.f64 (.f64 1 (cbrt.f64 1/2)) 1/3))
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) (cbrt.f64 (cbrt.f64 1/2)))
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (.f64 -1 (log.f64 a))))) (pow.f64 (.f64 1 (cbrt.f64 1/2)) 1/3))
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) (cbrt.f64 (cbrt.f64 1/2)))
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (.f64 -1 (log.f64 a))))) (pow.f64 (.f64 1 (cbrt.f64 1/2)) 1/3))
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) (cbrt.f64 (cbrt.f64 1/2)))
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (.f64 -1 (log.f64 a))))) (pow.f64 (.f64 1 (cbrt.f64 1/2)) 1/3))
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) (cbrt.f64 (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) (cbrt.f64 (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) (cbrt.f64 (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) (cbrt.f64 (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) (cbrt.f64 (cbrt.f64 1/2)))
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(*.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))) (cbrt.f64 (cbrt.f64 -1/2)))
(.f64 (exp.f64 (.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(*.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))) (cbrt.f64 (cbrt.f64 -1/2)))
(.f64 (exp.f64 (.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(*.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))) (cbrt.f64 (cbrt.f64 -1/2)))
(.f64 (exp.f64 (.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(*.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))) (cbrt.f64 (cbrt.f64 -1/2)))
(.f64 (exp.f64 (.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a)))) (cbrt.f64 (cbrt.f64 -1/2)))

eval122.0ms (2.4%)

Compiler: Compiled 5190 to 3663 computations (29.4% saved)

prune90.0ms (1.7%)

Pruning

29 alts after pruning (24 fresh and 5 done)

	Pruned	Kept	Total
New	387	23	410
Fresh	3	1	4
Picked	0	1	1
Done	1	4	5
Total	391	29	420

Error

0.0b

Counts

420 → 29

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	1.5b	(pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (*.f64 1/2 g)) (cbrt.f64 a))) 3)
	33.7b	(/.f64 1 (-.f64 (+.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g)))) 1))
	1.2b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
	42.8b	(exp.f64 (log.f64 (cbrt.f64 (/.f64 g (/.f64 a 1/2)))))
	1.3b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
▶	0.8b	(.f64 (/.f64 1 (cbrt.f64 (.f64 2 a))) (cbrt.f64 g))
	0.9b	(/.f64 1 (.f64 (/.f64 1 (cbrt.f64 g)) (cbrt.f64 (.f64 2 a))))
	0.9b	(.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (.f64 g 1/2)))
	16.0b	(pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))))) 3)
	1.6b	(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (cbrt.f64 (*.f64 2 a)))
	46.0b	(/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (.f64 4 (.f64 a a)))))
	30.3b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (-.f64 (+.f64 1 (cbrt.f64 a)) 1))
✓	16.3b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 3)
	15.3b	(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
▶	1.6b	(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 3) (cbrt.f64 a))
▶	41.7b	(pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (/.f64 a 1/2)))) 2)
	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	16.1b	(/.f64 1 (cbrt.f64 (/.f64 2 (/.f64 g a))))
▶	42.3b	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
	40.4b	(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) -2))
	4.4b	(/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 g 1/2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 g 1/2)))) (cbrt.f64 a))
✓	0.9b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
▶	15.5b	(/.f64 1 (*.f64 (cbrt.f64 (/.f64 a g)) (cbrt.f64 2)))
	1.6b	(/.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (.f64 2 a)))
	41.1b	(/.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 2 (/.f64 a g))) 2)))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	1.5b	(/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) 3) (cbrt.f64 g)))
✓	15.7b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 624 to 508 computations (18.6% saved)

localize14.0ms (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 (/.f64 1 (cbrt.f64 (.f64 2 a))) (cbrt.f64 g))
	0.5b	(cbrt.f64 g)
	0.6b	(cbrt.f64 (*.f64 2 a))

Compiler

Compiled 30 to 21 computations (30% saved)

series6.0ms (0.1%)

Counts

2 → 0

Calls

9 calls:

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

rewrite59.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

839×	`pow1_binary64`
777×	`add-log-exp_binary64`
777×	`log1p-expm1-u_binary64`
777×	`expm1-log1p-u_binary64`
758×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	195	18
2	2202	18

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

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

47 → 47

Calls

Call 1

Inputs

Outputs

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 2 (/.f64 a g))
✓	15.9b	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)

Compiler

Compiled 21 to 11 computations (47.6% saved)

series189.0ms (3.7%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
52.0ms	g	@	-inf	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
46.0ms	a	@	-inf	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
43.0ms	g	@	inf	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
22.0ms	g	@	0	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
15.0ms	a	@	0	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)

rewrite68.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

861×	`pow1_binary64`
804×	`add-log-exp_binary64`
804×	`log1p-expm1-u_binary64`
804×	`expm1-log1p-u_binary64`
786×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	176	13
2	2153	13

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

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

simplify66.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

728×	`fma-neg_binary64`
682×	`div-sub_binary64`
484×	`exp-sum_binary64`
420×	`fma-def_binary64`
368×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	384
1	117	384
2	291	384
3	743	384
4	2008	384
5	5477	384

Stop Event

1×	node limit

Counts

41 → 24

Calls

Call 1

Inputs
(exp.f64 (*.f64 -1/3 (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a))))
(exp.f64 (*.f64 -1/3 (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a))))
(exp.f64 (*.f64 -1/3 (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a))))
(exp.f64 (*.f64 -1/3 (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a))))
(exp.f64 (.f64 -1/3 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (/.f64 2 g)))))
(exp.f64 (.f64 -1/3 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (/.f64 2 g)))))
(exp.f64 (.f64 -1/3 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (/.f64 2 g)))))
(exp.f64 (.f64 -1/3 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (/.f64 2 g)))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (/.f64 -2 g)) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (/.f64 -2 g)) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (/.f64 -2 g)) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (/.f64 -2 g)) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (*.f64 -1 (log.f64 g)))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (*.f64 -1 (log.f64 g)))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (*.f64 -1 (log.f64 g)))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (*.f64 -1 (log.f64 g)))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (log.f64 (/.f64 1 g)))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (log.f64 (/.f64 1 g)))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (log.f64 (/.f64 1 g)))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (log.f64 (/.f64 1 g)))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 (.f64 -2 a)))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 (.f64 -2 a)))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 (.f64 -2 a)))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 (.f64 -2 a)))))

Outputs
(exp.f64 (*.f64 -1/3 (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a))))
(pow.f64 (exp.f64 -1/3) (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)))
(.f64 (cbrt.f64 g) (pow.f64 (exp.f64 -1/3) (log.f64 (.f64 2 a))))
(exp.f64 (*.f64 -1/3 (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a))))
(pow.f64 (exp.f64 -1/3) (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)))
(.f64 (cbrt.f64 g) (pow.f64 (exp.f64 -1/3) (log.f64 (.f64 2 a))))
(exp.f64 (*.f64 -1/3 (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a))))
(pow.f64 (exp.f64 -1/3) (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)))
(.f64 (cbrt.f64 g) (pow.f64 (exp.f64 -1/3) (log.f64 (.f64 2 a))))
(exp.f64 (*.f64 -1/3 (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a))))
(pow.f64 (exp.f64 -1/3) (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)))
(.f64 (cbrt.f64 g) (pow.f64 (exp.f64 -1/3) (log.f64 (.f64 2 a))))
(exp.f64 (.f64 -1/3 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (/.f64 2 g)))))
(pow.f64 (exp.f64 -1/3) (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)))
(.f64 (cbrt.f64 g) (pow.f64 (exp.f64 -1/3) (log.f64 (.f64 2 a))))
(exp.f64 (.f64 -1/3 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (/.f64 2 g)))))
(pow.f64 (exp.f64 -1/3) (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)))
(.f64 (cbrt.f64 g) (pow.f64 (exp.f64 -1/3) (log.f64 (.f64 2 a))))
(exp.f64 (.f64 -1/3 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (/.f64 2 g)))))
(pow.f64 (exp.f64 -1/3) (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)))
(.f64 (cbrt.f64 g) (pow.f64 (exp.f64 -1/3) (log.f64 (.f64 2 a))))
(exp.f64 (.f64 -1/3 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (/.f64 2 g)))))
(pow.f64 (exp.f64 -1/3) (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)))
(.f64 (cbrt.f64 g) (pow.f64 (exp.f64 -1/3) (log.f64 (.f64 2 a))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (/.f64 -2 g)) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 -1/3) (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)))
(.f64 (cbrt.f64 g) (pow.f64 (exp.f64 -1/3) (log.f64 (.f64 2 a))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (/.f64 -2 g)) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 -1/3) (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)))
(.f64 (cbrt.f64 g) (pow.f64 (exp.f64 -1/3) (log.f64 (.f64 2 a))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (/.f64 -2 g)) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 -1/3) (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)))
(.f64 (cbrt.f64 g) (pow.f64 (exp.f64 -1/3) (log.f64 (.f64 2 a))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (/.f64 -2 g)) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 -1/3) (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)))
(.f64 (cbrt.f64 g) (pow.f64 (exp.f64 -1/3) (log.f64 (.f64 2 a))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (*.f64 -1 (log.f64 g)))))
(pow.f64 (exp.f64 -1/3) (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)))
(.f64 (cbrt.f64 g) (pow.f64 (exp.f64 -1/3) (log.f64 (.f64 2 a))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (*.f64 -1 (log.f64 g)))))
(pow.f64 (exp.f64 -1/3) (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)))
(.f64 (cbrt.f64 g) (pow.f64 (exp.f64 -1/3) (log.f64 (.f64 2 a))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (*.f64 -1 (log.f64 g)))))
(pow.f64 (exp.f64 -1/3) (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)))
(.f64 (cbrt.f64 g) (pow.f64 (exp.f64 -1/3) (log.f64 (.f64 2 a))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (*.f64 -1 (log.f64 g)))))
(pow.f64 (exp.f64 -1/3) (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)))
(.f64 (cbrt.f64 g) (pow.f64 (exp.f64 -1/3) (log.f64 (.f64 2 a))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (log.f64 (/.f64 1 g)))))
(pow.f64 (exp.f64 -1/3) (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)))
(.f64 (cbrt.f64 g) (pow.f64 (exp.f64 -1/3) (log.f64 (.f64 2 a))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (log.f64 (/.f64 1 g)))))
(pow.f64 (exp.f64 -1/3) (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)))
(.f64 (cbrt.f64 g) (pow.f64 (exp.f64 -1/3) (log.f64 (.f64 2 a))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (log.f64 (/.f64 1 g)))))
(pow.f64 (exp.f64 -1/3) (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)))
(.f64 (cbrt.f64 g) (pow.f64 (exp.f64 -1/3) (log.f64 (.f64 2 a))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (log.f64 (/.f64 1 g)))))
(pow.f64 (exp.f64 -1/3) (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)))
(.f64 (cbrt.f64 g) (pow.f64 (exp.f64 -1/3) (log.f64 (.f64 2 a))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 (.f64 -2 a)))))
(pow.f64 (exp.f64 -1/3) (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)))
(.f64 (cbrt.f64 g) (pow.f64 (exp.f64 -1/3) (log.f64 (.f64 2 a))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 (.f64 -2 a)))))
(pow.f64 (exp.f64 -1/3) (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)))
(.f64 (cbrt.f64 g) (pow.f64 (exp.f64 -1/3) (log.f64 (.f64 2 a))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 (.f64 -2 a)))))
(pow.f64 (exp.f64 -1/3) (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)))
(.f64 (cbrt.f64 g) (pow.f64 (exp.f64 -1/3) (log.f64 (.f64 2 a))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 (.f64 -2 a)))))
(pow.f64 (exp.f64 -1/3) (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)))
(.f64 (cbrt.f64 g) (pow.f64 (exp.f64 -1/3) (log.f64 (.f64 2 a))))

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (cbrt.f64 (/.f64 a g)) (cbrt.f64 2))
✓	0.3b	(/.f64 1 (*.f64 (cbrt.f64 (/.f64 a g)) (cbrt.f64 2)))
✓	1.0b	(cbrt.f64 2)
✓	14.9b	(cbrt.f64 (/.f64 a g))

Compiler

Compiled 31 to 16 computations (48.4% saved)

series17.0ms (0.3%)

Counts

4 → 0

Calls

18 calls:

Time	Variable		Point	Expression
9.0ms	a	@	-inf	(/.f64 1 (*.f64 (cbrt.f64 (/.f64 a g)) (cbrt.f64 2)))
1.0ms	a	@	-inf	(*.f64 (cbrt.f64 (/.f64 a g)) (cbrt.f64 2))
1.0ms	g	@	-inf	(/.f64 1 (*.f64 (cbrt.f64 (/.f64 a g)) (cbrt.f64 2)))
1.0ms	g	@	-inf	(*.f64 (cbrt.f64 (/.f64 a g)) (cbrt.f64 2))
1.0ms	g	@	-inf	(cbrt.f64 (/.f64 a g))

rewrite83.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

942×	`pow1_binary64`
875×	`add-log-exp_binary64`
875×	`log1p-expm1-u_binary64`
875×	`expm1-log1p-u_binary64`
853×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	204	30
2	2451	30

Stop Event

1×	node limit

Counts

4 → 84

Calls

Call 1

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

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

84 → 84

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 a 1/2))))
✓	0.2b	(pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (/.f64 a 1/2)))) 2)
✓	15.4b	(cbrt.f64 (/.f64 g (/.f64 a 1/2)))

Compiler

Compiled 36 to 25 computations (30.6% saved)

series65.0ms (1.3%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
53.0ms	a	@	0	(cbrt.f64 (/.f64 g (/.f64 a 1/2)))
1.0ms	g	@	0	(pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (/.f64 a 1/2)))) 2)
1.0ms	g	@	inf	(pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (/.f64 a 1/2)))) 2)
1.0ms	a	@	0	(pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (/.f64 a 1/2)))) 2)
1.0ms	a	@	inf	(pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (/.f64 a 1/2)))) 2)

rewrite88.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

917×	`pow1_binary64`
860×	`add-log-exp_binary64`
860×	`log1p-expm1-u_binary64`
860×	`expm1-log1p-u_binary64`
840×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	217	28
2	2411	28

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

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

Outputs

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

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

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

simplify91.0ms (1.8%)

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

130 → 69

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))
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(.f64 (.f64 (pow.f64 a -1/6) (pow.f64 g 1/6)) (sqrt.f64 (cbrt.f64 1/2)))
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(.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)))
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(.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 (*.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 (*.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)))

localize58.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(cbrt.f64 (*.f64 g 1/2))
	0.6b	(cbrt.f64 a)
✓	0.6b	(cbrt.f64 (cbrt.f64 (*.f64 g 1/2)))
✓	0.8b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 3)

Compiler

Compiled 37 to 27 computations (27% saved)

series45.0ms (0.9%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
24.0ms	g	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 3)
17.0ms	g	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 3)
2.0ms	g	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 3)
1.0ms	g	@	-inf	(cbrt.f64 (cbrt.f64 (*.f64 g 1/2)))
0.0ms	g	@	inf	(cbrt.f64 (cbrt.f64 (*.f64 g 1/2)))

rewrite81.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

579×	`pow1_binary64`
546×	`add-log-exp_binary64`
545×	`log1p-expm1-u_binary64`
545×	`expm1-log1p-u_binary64`
532×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	166	14
2	1556	14

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

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

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

simplify244.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

2184×	`unswap-sqr_binary64`
1339×	`sqr-pow_binary64`
462×	`pow-sqr_binary64`
377×	`*-commutative_binary64`
367×	`cube-prod_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	348
1	72	324
2	143	324
3	329	324
4	1157	280
5	2190	280
6	2302	280
7	2501	280
8	2766	280
9	3030	280
10	3361	280
11	3778	280
12	4242	280
13	4796	280
14	5080	280
15	5252	280
16	5356	280
17	5476	280
18	5512	280
19	5961	280
20	6533	280

Stop Event

1×	node limit

Counts

69 → 52

Calls

Call 1

Inputs
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cbrt.f64 1/2) (pow.f64 g 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cbrt.f64 1/2) (pow.f64 g 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cbrt.f64 1/2) (pow.f64 g 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cbrt.f64 1/2) (pow.f64 g 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cbrt.f64 1/2) (pow.f64 g 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cbrt.f64 1/2) (pow.f64 g 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cbrt.f64 1/2) (pow.f64 g 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cbrt.f64 1/2) (pow.f64 g 1/3)))
(.f64 (pow.f64 (.f64 -1 g) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1/2)))
(.f64 (pow.f64 (.f64 -1 g) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1/2)))
(.f64 (pow.f64 (.f64 -1 g) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1/2)))
(.f64 (pow.f64 (.f64 -1 g) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1/2)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) g) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) g) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) g) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) g) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) g) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) g) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) g) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) g) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(.f64 (pow.f64 (.f64 -1 g) 1/9) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(.f64 (pow.f64 (.f64 -1 g) 1/9) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(.f64 (pow.f64 (.f64 -1 g) 1/9) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(.f64 (pow.f64 (.f64 -1 g) 1/9) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))

Outputs
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cbrt.f64 1/2) (pow.f64 g 1/3)))
(.f64 1 (.f64 (cbrt.f64 1/2) (cbrt.f64 g)))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 g))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cbrt.f64 1/2) (pow.f64 g 1/3)))
(.f64 1 (.f64 (cbrt.f64 1/2) (cbrt.f64 g)))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 g))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cbrt.f64 1/2) (pow.f64 g 1/3)))
(.f64 1 (.f64 (cbrt.f64 1/2) (cbrt.f64 g)))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 g))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cbrt.f64 1/2) (pow.f64 g 1/3)))
(.f64 1 (.f64 (cbrt.f64 1/2) (cbrt.f64 g)))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 g))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cbrt.f64 1/2) (pow.f64 g 1/3)))
(.f64 1 (.f64 (cbrt.f64 1/2) (cbrt.f64 g)))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 g))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cbrt.f64 1/2) (pow.f64 g 1/3)))
(.f64 1 (.f64 (cbrt.f64 1/2) (cbrt.f64 g)))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 g))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cbrt.f64 1/2) (pow.f64 g 1/3)))
(.f64 1 (.f64 (cbrt.f64 1/2) (cbrt.f64 g)))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 g))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cbrt.f64 1/2) (pow.f64 g 1/3)))
(.f64 1 (.f64 (cbrt.f64 1/2) (cbrt.f64 g)))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 g))
(.f64 (pow.f64 (.f64 -1 g) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1/2)))
(*.f64 (cbrt.f64 (neg.f64 g)) (cbrt.f64 -1/2))
(.f64 (pow.f64 (.f64 -1 g) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1/2)))
(*.f64 (cbrt.f64 (neg.f64 g)) (cbrt.f64 -1/2))
(.f64 (pow.f64 (.f64 -1 g) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1/2)))
(*.f64 (cbrt.f64 (neg.f64 g)) (cbrt.f64 -1/2))
(.f64 (pow.f64 (.f64 -1 g) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1/2)))
(*.f64 (cbrt.f64 (neg.f64 g)) (cbrt.f64 -1/2))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) g) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(.f64 (.f64 (pow.f64 g 1/18) (pow.f64 g 1/18)) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (pow.f64 g 1/36) 4) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (pow.f64 g 1/72) 8) (cbrt.f64 (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) g) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(.f64 (.f64 (pow.f64 g 1/18) (pow.f64 g 1/18)) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (pow.f64 g 1/36) 4) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (pow.f64 g 1/72) 8) (cbrt.f64 (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) g) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(.f64 (.f64 (pow.f64 g 1/18) (pow.f64 g 1/18)) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (pow.f64 g 1/36) 4) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (pow.f64 g 1/72) 8) (cbrt.f64 (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) g) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(.f64 (.f64 (pow.f64 g 1/18) (pow.f64 g 1/18)) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (pow.f64 g 1/36) 4) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (pow.f64 g 1/72) 8) (cbrt.f64 (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) g) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(.f64 (.f64 (pow.f64 g 1/18) (pow.f64 g 1/18)) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (pow.f64 g 1/36) 4) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (pow.f64 g 1/72) 8) (cbrt.f64 (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) g) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(.f64 (.f64 (pow.f64 g 1/18) (pow.f64 g 1/18)) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (pow.f64 g 1/36) 4) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (pow.f64 g 1/72) 8) (cbrt.f64 (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) g) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(.f64 (.f64 (pow.f64 g 1/18) (pow.f64 g 1/18)) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (pow.f64 g 1/36) 4) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (pow.f64 g 1/72) 8) (cbrt.f64 (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) g) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(.f64 (.f64 (pow.f64 g 1/18) (pow.f64 g 1/18)) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (pow.f64 g 1/36) 4) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (pow.f64 g 1/72) 8) (cbrt.f64 (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 -1 g) 1/9) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(.f64 (.f64 (pow.f64 (neg.f64 g) 1/18) (pow.f64 (neg.f64 g) 1/18)) (cbrt.f64 (cbrt.f64 -1/2)))
(.f64 (pow.f64 (neg.f64 g) 1/18) (.f64 (pow.f64 (neg.f64 g) 1/18) (cbrt.f64 (cbrt.f64 -1/2))))
(*.f64 (pow.f64 (pow.f64 (neg.f64 g) 1/36) 4) (cbrt.f64 (cbrt.f64 -1/2)))
(.f64 (pow.f64 (.f64 -1 g) 1/9) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(.f64 (.f64 (pow.f64 (neg.f64 g) 1/18) (pow.f64 (neg.f64 g) 1/18)) (cbrt.f64 (cbrt.f64 -1/2)))
(.f64 (pow.f64 (neg.f64 g) 1/18) (.f64 (pow.f64 (neg.f64 g) 1/18) (cbrt.f64 (cbrt.f64 -1/2))))
(*.f64 (pow.f64 (pow.f64 (neg.f64 g) 1/36) 4) (cbrt.f64 (cbrt.f64 -1/2)))
(.f64 (pow.f64 (.f64 -1 g) 1/9) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(.f64 (.f64 (pow.f64 (neg.f64 g) 1/18) (pow.f64 (neg.f64 g) 1/18)) (cbrt.f64 (cbrt.f64 -1/2)))
(.f64 (pow.f64 (neg.f64 g) 1/18) (.f64 (pow.f64 (neg.f64 g) 1/18) (cbrt.f64 (cbrt.f64 -1/2))))
(*.f64 (pow.f64 (pow.f64 (neg.f64 g) 1/36) 4) (cbrt.f64 (cbrt.f64 -1/2)))
(.f64 (pow.f64 (.f64 -1 g) 1/9) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(.f64 (.f64 (pow.f64 (neg.f64 g) 1/18) (pow.f64 (neg.f64 g) 1/18)) (cbrt.f64 (cbrt.f64 -1/2)))
(.f64 (pow.f64 (neg.f64 g) 1/18) (.f64 (pow.f64 (neg.f64 g) 1/18) (cbrt.f64 (cbrt.f64 -1/2))))
(*.f64 (pow.f64 (pow.f64 (neg.f64 g) 1/36) 4) (cbrt.f64 (cbrt.f64 -1/2)))

eval217.0ms (4.2%)

Compiler: Compiled 4767 to 3497 computations (26.6% saved)

prune107.0ms (2.1%)

Pruning

34 alts after pruning (26 fresh and 8 done)

	Pruned	Kept	Total
New	357	15	372
Fresh	8	11	19
Picked	0	1	1
Done	2	7	9
Total	367	34	401

Error

0.0b

Counts

401 → 34

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	1.5b	(pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (*.f64 1/2 g)) (cbrt.f64 a))) 3)
	15.6b	(*.f64 (/.f64 1 (cbrt.f64 (/.f64 a g))) (/.f64 1 (cbrt.f64 2)))
	42.3b	(/.f64 1 (*.f64 (pow.f64 (/.f64 a g) 1/3) (cbrt.f64 2)))
✓	15.7b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	33.7b	(/.f64 1 (-.f64 (+.f64 1 (cbrt.f64 (*.f64 (/.f64 a g) 2))) 1))
	1.6b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2))) 3) (cbrt.f64 a))
✓	0.8b	(.f64 (/.f64 1 (cbrt.f64 (.f64 2 a))) (cbrt.f64 g))
	0.9b	(/.f64 1 (.f64 (/.f64 1 (cbrt.f64 g)) (cbrt.f64 (.f64 2 a))))
	0.9b	(.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (.f64 g 1/2)))
	42.3b	(pow.f64 (/.f64 (*.f64 2 a) g) -1/3)
▶	1.6b	(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (cbrt.f64 (*.f64 2 a)))
	46.0b	(/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (.f64 4 (.f64 a a)))))
▶	42.4b	(exp.f64 (.f64 -1/3 (log.f64 (.f64 2 (/.f64 a g)))))
	30.3b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (-.f64 (+.f64 1 (cbrt.f64 a)) 1))
	1.2b	(.f64 (/.f64 1 (.f64 (cbrt.f64 a) (cbrt.f64 2))) (cbrt.f64 g))
	2.7b	(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2)))) 3) 3) (cbrt.f64 a))
	15.3b	(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
	40.4b	(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a g) 2)) -2))
✓	1.6b	(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 3) (cbrt.f64 a))
✓	41.7b	(pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (/.f64 a 1/2)))) 2)
	1.8b	(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 3)) 3) (cbrt.f64 a))
▶	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	16.1b	(/.f64 1 (cbrt.f64 (/.f64 2 (/.f64 g a))))
	1.2b	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))
✓	0.9b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
✓	15.5b	(/.f64 1 (*.f64 (cbrt.f64 (/.f64 a g)) (cbrt.f64 2)))
▶	15.7b	(cbrt.f64 (*.f64 g (/.f64 1/2 a)))
	15.8b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	1.1b	(/.f64 1 (.f64 (.f64 (cbrt.f64 a) (cbrt.f64 (/.f64 1 g))) (cbrt.f64 2)))
	32.5b	(pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))) 2)
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	1.5b	(/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) 3) (cbrt.f64 g)))
▶	1.2b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))

Compiler

Compiled 690 to 568 computations (17.7% saved)

localize11.0ms (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)))
	0.5b	(cbrt.f64 g)
✓	0.5b	(cbrt.f64 (/.f64 1/2 a))

Compiler

Compiled 21 to 13 computations (38.1% saved)

series17.0ms (0.3%)

Counts

2 → 0

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	g	@	inf	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
1.0ms	g	@	-inf	(*.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	@	-inf	(cbrt.f64 (/.f64 1/2 a))

rewrite56.0ms (1.1%)

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))))))))

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

39 → 39

Calls

Call 1

Inputs

Outputs

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 g (/.f64 1/2 a))
✓	15.4b	(cbrt.f64 (*.f64 g (/.f64 1/2 a)))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite55.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

689×	`pow1_binary64`
642×	`add-log-exp_binary64`
642×	`log1p-expm1-u_binary64`
642×	`expm1-log1p-u_binary64`
628×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	147	16
2	1760	16

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

Outputs

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

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

simplify16.0ms (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

67 → 44

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))

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 2 (/.f64 a g))
✓	0.2b	(.f64 -1/3 (log.f64 (.f64 2 (/.f64 a g))))
✓	2.3b	(exp.f64 (.f64 -1/3 (log.f64 (.f64 2 (/.f64 a g)))))
✓	10.1b	(log.f64 (*.f64 2 (/.f64 a g)))

Compiler

Compiled 37 to 21 computations (43.2% saved)

series5.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(log.f64 (*.f64 2 (/.f64 a g)))
0.0ms	g	@	inf	(.f64 -1/3 (log.f64 (.f64 2 (/.f64 a g))))
0.0ms	a	@	inf	(log.f64 (*.f64 2 (/.f64 a g)))
0.0ms	a	@	0	(exp.f64 (.f64 -1/3 (log.f64 (.f64 2 (/.f64 a g)))))
0.0ms	g	@	inf	(log.f64 (*.f64 2 (/.f64 a g)))

rewrite93.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

476×	`log-prod_binary64`
370×	`exp-prod_binary64`
271×	`cbrt-unprod_binary64`
251×	`pow2_binary64`
249×	`pow-prod-down_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	203	35
2	2434	33

Stop Event

1×	node limit

Counts

3 → 167

Calls

Call 1

Inputs
(log.f64 (*.f64 2 (/.f64 a g)))
(exp.f64 (.f64 -1/3 (log.f64 (.f64 2 (/.f64 a g)))))
(.f64 -1/3 (log.f64 (.f64 2 (/.f64 a g))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 a g))) -1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (*.f64 2 (/.f64 a g)) -1/6)) (log.f64 (pow.f64 (*.f64 2 (/.f64 a g)) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 (*.f64 2 (/.f64 a g))) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (*.f64 (log.f64 (*.f64 2 (/.f64 a g))) -1/3)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 2 (/.f64 a g)) -1/6) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 2 (/.f64 a g)) -1/6) 4))) (*.f64 1/3 (*.f64 (log.f64 (*.f64 2 (/.f64 a g))) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 2) -1/3) (*.f64 (log.f64 (/.f64 a g)) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (log.f64 2)) (*.f64 -1/3 (log.f64 (/.f64 a g))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 -1/3) (log.f64 2))) (log.f64 (pow.f64 (exp.f64 -1/3) (log.f64 (/.f64 a g)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (log.f64 (*.f64 2 (/.f64 a g))) -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 a g))) -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (pow.f64 (log.f64 (*.f64 2 (/.f64 a g))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 a g))) -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 a g))) -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 a g))) -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 a g))) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 a g))) -1/3))) 2)) (cbrt.f64 (log.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 a g))) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 a g))) -1/3)))) (sqrt.f64 (log.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 a g))) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (pow.f64 (log.f64 (*.f64 2 (/.f64 a g))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 a g))) -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 a g))) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 a g))) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 a g))) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 a g))) -1/3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 a g))) -1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 a g))) -1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/3 (log.f64 2) (*.f64 -1/3 (log.f64 (/.f64 a g))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 2) -1/3 (*.f64 (log.f64 (/.f64 a g)) -1/3))))))

simplify89.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

728×	`fma-neg_binary64`
684×	`div-sub_binary64`
472×	`exp-sum_binary64`
418×	`fma-def_binary64`
371×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	984
1	117	984
2	291	984
3	743	984
4	2009	984
5	5461	984

Stop Event

1×	node limit

Counts

239 → 188

Calls

Call 1

Inputs
(+.f64 (log.f64 (/.f64 2 g)) (log.f64 a))
(+.f64 (log.f64 (/.f64 2 g)) (log.f64 a))
(+.f64 (log.f64 (/.f64 2 g)) (log.f64 a))
(+.f64 (log.f64 (/.f64 2 g)) (log.f64 a))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (/.f64 2 g)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (/.f64 2 g)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (/.f64 2 g)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (/.f64 2 g)))
(+.f64 (log.f64 (/.f64 -2 g)) (*.f64 -1 (log.f64 (/.f64 -1 a))))
(+.f64 (log.f64 (/.f64 -2 g)) (*.f64 -1 (log.f64 (/.f64 -1 a))))
(+.f64 (log.f64 (/.f64 -2 g)) (*.f64 -1 (log.f64 (/.f64 -1 a))))
(+.f64 (log.f64 (/.f64 -2 g)) (*.f64 -1 (log.f64 (/.f64 -1 a))))
(+.f64 (log.f64 (.f64 2 a)) (.f64 -1 (log.f64 g)))
(+.f64 (log.f64 (.f64 2 a)) (.f64 -1 (log.f64 g)))
(+.f64 (log.f64 (.f64 2 a)) (.f64 -1 (log.f64 g)))
(+.f64 (log.f64 (.f64 2 a)) (.f64 -1 (log.f64 g)))
(+.f64 (log.f64 (*.f64 2 a)) (log.f64 (/.f64 1 g)))
(+.f64 (log.f64 (*.f64 2 a)) (log.f64 (/.f64 1 g)))
(+.f64 (log.f64 (*.f64 2 a)) (log.f64 (/.f64 1 g)))
(+.f64 (log.f64 (*.f64 2 a)) (log.f64 (/.f64 1 g)))
(+.f64 (log.f64 (/.f64 -1 g)) (log.f64 (*.f64 -2 a)))
(+.f64 (log.f64 (/.f64 -1 g)) (log.f64 (*.f64 -2 a)))
(+.f64 (log.f64 (/.f64 -1 g)) (log.f64 (*.f64 -2 a)))
(+.f64 (log.f64 (/.f64 -1 g)) (log.f64 (*.f64 -2 a)))
(exp.f64 (*.f64 -1/3 (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a))))
(exp.f64 (*.f64 -1/3 (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a))))
(exp.f64 (*.f64 -1/3 (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a))))
(exp.f64 (*.f64 -1/3 (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a))))
(exp.f64 (.f64 -1/3 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (/.f64 2 g)))))
(exp.f64 (.f64 -1/3 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (/.f64 2 g)))))
(exp.f64 (.f64 -1/3 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (/.f64 2 g)))))
(exp.f64 (.f64 -1/3 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (/.f64 2 g)))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (/.f64 -2 g)) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (/.f64 -2 g)) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (/.f64 -2 g)) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (/.f64 -2 g)) (.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (*.f64 -1 (log.f64 g)))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (*.f64 -1 (log.f64 g)))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (*.f64 -1 (log.f64 g)))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (*.f64 -1 (log.f64 g)))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (log.f64 (/.f64 1 g)))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (log.f64 (/.f64 1 g)))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (log.f64 (/.f64 1 g)))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (log.f64 (/.f64 1 g)))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 (.f64 -2 a)))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 (.f64 -2 a)))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 (.f64 -2 a)))))
(exp.f64 (.f64 -1/3 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 (.f64 -2 a)))))
(*.f64 -1/3 (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)))
(*.f64 -1/3 (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)))
(*.f64 -1/3 (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)))
(*.f64 -1/3 (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)))
(.f64 -1/3 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (/.f64 2 g))))
(.f64 -1/3 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (/.f64 2 g))))
(.f64 -1/3 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (/.f64 2 g))))
(.f64 -1/3 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (/.f64 2 g))))
(.f64 -1/3 (+.f64 (log.f64 (/.f64 -2 g)) (.f64 -1 (log.f64 (/.f64 -1 a)))))
(.f64 -1/3 (+.f64 (log.f64 (/.f64 -2 g)) (.f64 -1 (log.f64 (/.f64 -1 a)))))
(.f64 -1/3 (+.f64 (log.f64 (/.f64 -2 g)) (.f64 -1 (log.f64 (/.f64 -1 a)))))
(.f64 -1/3 (+.f64 (log.f64 (/.f64 -2 g)) (.f64 -1 (log.f64 (/.f64 -1 a)))))
(.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (*.f64 -1 (log.f64 g))))
(.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (*.f64 -1 (log.f64 g))))
(.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (*.f64 -1 (log.f64 g))))
(.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (*.f64 -1 (log.f64 g))))
(.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (log.f64 (/.f64 1 g))))
(.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (log.f64 (/.f64 1 g))))
(.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (log.f64 (/.f64 1 g))))
(.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (log.f64 (/.f64 1 g))))
(.f64 -1/3 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 (.f64 -2 a))))
(.f64 -1/3 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 (.f64 -2 a))))
(.f64 -1/3 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 (.f64 -2 a))))
(.f64 -1/3 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 (.f64 -2 a))))

Outputs
(+.f64 (log.f64 (/.f64 2 g)) (log.f64 a))
(-.f64 (log.f64 a) (log.f64 (/.f64 g 2)))
(+.f64 (log.f64 (/.f64 2 g)) (log.f64 a))
(-.f64 (log.f64 a) (log.f64 (/.f64 g 2)))
(+.f64 (log.f64 (/.f64 2 g)) (log.f64 a))
(-.f64 (log.f64 a) (log.f64 (/.f64 g 2)))
(+.f64 (log.f64 (/.f64 2 g)) (log.f64 a))
(-.f64 (log.f64 a) (log.f64 (/.f64 g 2)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (/.f64 2 g)))
(+.f64 (log.f64 (/.f64 2 g)) (log.f64 a))
(-.f64 (log.f64 a) (log.f64 (/.f64 g 2)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (/.f64 2 g)))
(+.f64 (log.f64 (/.f64 2 g)) (log.f64 a))
(-.f64 (log.f64 a) (log.f64 (/.f64 g 2)))
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(.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (*.f64 -1 (log.f64 g))))
(*.f64 (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)) -1/3)
(.f64 1/3 (-.f64 (log.f64 g) (log.f64 (.f64 2 a))))
(*.f64 (-.f64 (log.f64 a) (log.f64 (/.f64 g 2))) -1/3)
(.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (*.f64 -1 (log.f64 g))))
(*.f64 (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)) -1/3)
(.f64 1/3 (-.f64 (log.f64 g) (log.f64 (.f64 2 a))))
(*.f64 (-.f64 (log.f64 a) (log.f64 (/.f64 g 2))) -1/3)
(.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (*.f64 -1 (log.f64 g))))
(*.f64 (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)) -1/3)
(.f64 1/3 (-.f64 (log.f64 g) (log.f64 (.f64 2 a))))
(*.f64 (-.f64 (log.f64 a) (log.f64 (/.f64 g 2))) -1/3)
(.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (*.f64 -1 (log.f64 g))))
(*.f64 (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)) -1/3)
(.f64 1/3 (-.f64 (log.f64 g) (log.f64 (.f64 2 a))))
(*.f64 (-.f64 (log.f64 a) (log.f64 (/.f64 g 2))) -1/3)
(.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (log.f64 (/.f64 1 g))))
(*.f64 (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)) -1/3)
(.f64 1/3 (-.f64 (log.f64 g) (log.f64 (.f64 2 a))))
(*.f64 (-.f64 (log.f64 a) (log.f64 (/.f64 g 2))) -1/3)
(.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (log.f64 (/.f64 1 g))))
(*.f64 (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)) -1/3)
(.f64 1/3 (-.f64 (log.f64 g) (log.f64 (.f64 2 a))))
(*.f64 (-.f64 (log.f64 a) (log.f64 (/.f64 g 2))) -1/3)
(.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (log.f64 (/.f64 1 g))))
(*.f64 (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)) -1/3)
(.f64 1/3 (-.f64 (log.f64 g) (log.f64 (.f64 2 a))))
(*.f64 (-.f64 (log.f64 a) (log.f64 (/.f64 g 2))) -1/3)
(.f64 -1/3 (+.f64 (log.f64 (.f64 2 a)) (log.f64 (/.f64 1 g))))
(*.f64 (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)) -1/3)
(.f64 1/3 (-.f64 (log.f64 g) (log.f64 (.f64 2 a))))
(*.f64 (-.f64 (log.f64 a) (log.f64 (/.f64 g 2))) -1/3)
(.f64 -1/3 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 (.f64 -2 a))))
(*.f64 (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)) -1/3)
(.f64 1/3 (-.f64 (log.f64 g) (log.f64 (.f64 2 a))))
(*.f64 (-.f64 (log.f64 a) (log.f64 (/.f64 g 2))) -1/3)
(.f64 -1/3 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 (.f64 -2 a))))
(*.f64 (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)) -1/3)
(.f64 1/3 (-.f64 (log.f64 g) (log.f64 (.f64 2 a))))
(*.f64 (-.f64 (log.f64 a) (log.f64 (/.f64 g 2))) -1/3)
(.f64 -1/3 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 (.f64 -2 a))))
(*.f64 (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)) -1/3)
(.f64 1/3 (-.f64 (log.f64 g) (log.f64 (.f64 2 a))))
(*.f64 (-.f64 (log.f64 a) (log.f64 (/.f64 g 2))) -1/3)
(.f64 -1/3 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 (.f64 -2 a))))
(*.f64 (+.f64 (log.f64 (/.f64 2 g)) (log.f64 a)) -1/3)
(.f64 1/3 (-.f64 (log.f64 g) (log.f64 (.f64 2 a))))
(*.f64 (-.f64 (log.f64 a) (log.f64 (/.f64 g 2))) -1/3)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
	0.5b	(cbrt.f64 g)
	0.6b	(cbrt.f64 a)
	1.0b	(cbrt.f64 2)

Compiler

Compiled 24 to 14 computations (41.7% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite58.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

887×	`pow1_binary64`
824×	`add-log-exp_binary64`
824×	`log1p-expm1-u_binary64`
824×	`expm1-log1p-u_binary64`
802×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	181	9
2	2223	9

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

((#(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 (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.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 (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 (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 (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 (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 (cbrt.f64 (/.f64 g a)) (/.f64 1 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 a)) (/.f64 (cbrt.f64 g) (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) (cbrt.f64 a)) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 g 1/6) (cbrt.f64 a)) (/.f64 (pow.f64 g 1/6) (cbrt.f64 2)))))) (#(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 (cbrt.f64 2)) (cbrt.f64 (/.f64 g 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 (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 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a 2))) 2)) (/.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) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a 2))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 g 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a 2))) 2)) (/.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)))))))))

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

38 → 38

Calls

Call 1

Inputs

Outputs

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(cbrt.f64 g)
	0.6b	(cbrt.f64 (*.f64 2 a))
✓	0.6b	(cbrt.f64 (cbrt.f64 g))
✓	0.8b	(pow.f64 (cbrt.f64 (cbrt.f64 g)) 3)

Compiler

Compiled 33 to 19 computations (42.4% saved)

series14.0ms (0.3%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	g	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 g)) 3)
4.0ms	g	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 g)) 3)
1.0ms	g	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 g)) 3)
0.0ms	g	@	0	(cbrt.f64 (cbrt.f64 g))
0.0ms	g	@	-inf	(cbrt.f64 (cbrt.f64 g))

rewrite50.0ms (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)))))))

simplify159.0ms (3.1%)

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)))

eval235.0ms (4.6%)

Compiler: Compiled 6986 to 4801 computations (31.3% saved)

prune156.0ms (3%)

Pruning

32 alts after pruning (20 fresh and 12 done)

	Pruned	Kept	Total
New	513	3	516
Fresh	4	17	21
Picked	0	1	1
Done	1	11	12
Total	518	32	550

Error

0.0b

Counts

550 → 32

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	1.5b	(pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (*.f64 1/2 g)) (cbrt.f64 a))) 3)
✓	1.2b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
✓	15.7b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	33.7b	(/.f64 1 (-.f64 (+.f64 1 (cbrt.f64 (*.f64 (/.f64 a g) 2))) 1))
	1.6b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2))) 3) (cbrt.f64 a))
	0.9b	(/.f64 1 (.f64 (/.f64 1 (cbrt.f64 g)) (cbrt.f64 (.f64 2 a))))
	16.1b	(cbrt.f64 (/.f64 1 (/.f64 a (*.f64 g 1/2))))
✓	0.8b	(.f64 (/.f64 1 (cbrt.f64 (.f64 2 a))) (cbrt.f64 g))
	0.9b	(.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (.f64 g 1/2)))
	42.3b	(pow.f64 (/.f64 (*.f64 2 a) g) -1/3)
✓	1.6b	(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (cbrt.f64 (*.f64 2 a)))
	46.0b	(/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (.f64 4 (.f64 a a)))))
✓	42.4b	(exp.f64 (.f64 -1/3 (log.f64 (.f64 2 (/.f64 a g)))))
	1.2b	(.f64 (/.f64 1 (.f64 (cbrt.f64 a) (cbrt.f64 2))) (cbrt.f64 g))
	40.4b	(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a g) 2)) -2))
	15.3b	(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
✓	41.7b	(pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (/.f64 a 1/2)))) 2)
	1.8b	(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 3)) 3) (cbrt.f64 a))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
✓	0.9b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
✓	15.5b	(/.f64 1 (*.f64 (cbrt.f64 (/.f64 a g)) (cbrt.f64 2)))
✓	15.7b	(cbrt.f64 (*.f64 g (/.f64 1/2 a)))
	15.8b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	16.2b	(*.f64 (/.f64 1 (cbrt.f64 2)) (cbrt.f64 (/.f64 g a)))
	1.1b	(/.f64 1 (.f64 (.f64 (cbrt.f64 a) (cbrt.f64 (/.f64 1 g))) (cbrt.f64 2)))
	32.5b	(pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))) 2)
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	1.5b	(/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) 3) (cbrt.f64 g)))
	42.3b	(/.f64 1 (*.f64 (pow.f64 (/.f64 a g) 1/3) (cbrt.f64 2)))
	16.1b	(/.f64 1 (cbrt.f64 (/.f64 2 (/.f64 g a))))

Compiler

Compiled 356 to 291 computations (18.3% saved)

regimes153.0ms (3%)

Counts

51 → 1

Calls

Call 1

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

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

Calls

5 calls:

33.0ms	(*.f64 2 a)
29.0ms	g
27.0ms	a
24.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))
22.0ms	(/.f64 g (*.f64 2 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	`(/.f64 g (*.f64 2 a))`
0.8b	1	`(*.f64 2 a)`

Compiler

Compiled 524 to 359 computations (31.5% saved)

regimes54.0ms (1%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

6 calls:

9.0ms	(*.f64 2 a)
8.0ms	(*.f64 2 a)
8.0ms	a
8.0ms	g
7.0ms	(/.f64 g (*.f64 2 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	`(/.f64 g (*.f64 2 a))`
0.8b	1	`(*.f64 2 a)`
0.8b	1	`(*.f64 2 a)`

Compiler

Compiled 136 to 98 computations (27.9% saved)

regimes36.0ms (0.7%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

5 calls:

8.0ms	(*.f64 2 a)
7.0ms	a
6.0ms	g
6.0ms	(/.f64 g (*.f64 2 a))
6.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Results

Error	Segments	Branch
15.3b	1	`g`
15.3b	1	`a`
15.3b	1	`(cbrt.f64 (/.f64 g (*.f64 2 a)))`
15.3b	1	`(/.f64 g (*.f64 2 a))`
15.3b	1	`(*.f64 2 a)`

Compiler

Compiled 117 to 84 computations (28.2% saved)

regimes30.0ms (0.6%)

Accuracy

Total -27.3b remaining (-173.9%)

Threshold costs -27.3b (-173.9%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

6 calls:

6.0ms	g
5.0ms	(*.f64 2 a)
4.0ms	a
4.0ms	(*.f64 2 a)
4.0ms	(/.f64 g (*.f64 2 a))

Results

Error	Segments	Branch
15.7b	1	`g`
15.7b	1	`a`
15.7b	1	`(cbrt.f64 (/.f64 g (*.f64 2 a)))`
15.7b	1	`(/.f64 g (*.f64 2 a))`
15.7b	1	`(*.f64 2 a)`
15.7b	1	`(*.f64 2 a)`

Compiler

Compiled 67 to 49 computations (26.9% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	43
1	23	43

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 36 to 28 computations (22.2% saved)

soundness0.0ms (0%)

end32.0ms (0.6%)

Compiler: Compiled 30 to 21 computations (30% saved)