Details

analyze39.0ms (0.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	5
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	6
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	7
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	8
82%	82%	18%	0.1%	0%	0%	0%	9
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	10
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	11
93.8%	93.8%	6.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample880.0ms (20%)

Results

868.0ms

8256×

body

256

valid

Bogosity

preprocess18.0ms (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)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

16.4b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.4b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 8 to 6 computations (25% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	16.0b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series5.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

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

rewrite54.0ms (1.2%)

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)))))))))

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

27 → 27

Calls

Call 1

Inputs

Outputs

eval6.0ms (0.1%)

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

prune15.0ms (0.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	17	10	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	11	28

Error

0.1b

Counts

28 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.8b	(pow.f64 (*.f64 1/2 (/.f64 g a)) 1/3)
✓	16.4b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
▶	41.8b	(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6) 2)
▶	0.8b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
	17.2b	(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)))
	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
▶	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	16.3b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
	17.2b	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 g a)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))

Compiler

Compiled 226 to 178 computations (21.2% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

series8.0ms (0.2%)

Counts

3 → 0

Calls

12 calls:

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

rewrite75.0ms (1.7%)

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)))))))))

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

71 → 71

Calls

Call 1

Inputs

Outputs

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 1/2 (/.f64 g a))
✓	16.8b	(pow.f64 (*.f64 1/2 (/.f64 g a)) 1/3)

Compiler

Compiled 21 to 11 computations (47.6% saved)

series7.0ms (0.2%)

Counts

2 → 0

Calls

12 calls:

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

rewrite61.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

821×	`pow1_binary64`
770×	`add-log-exp_binary64`
770×	`log1p-expm1-u_binary64`
770×	`expm1-log1p-u_binary64`
752×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	178	16
2	2116	16

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

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

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

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

38 → 38

Calls

Call 1

Inputs

Outputs

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

series5.0ms (0.1%)

Counts

2 → 0

Calls

9 calls:

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

rewrite57.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

Outputs

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

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

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

39 → 39

Calls

Call 1

Inputs

Outputs

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (cbrt.f64 (*.f64 2 a)))
✓	0.3b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
	0.6b	(cbrt.f64 g)
	0.6b	(cbrt.f64 (*.f64 2 a))

Compiler

Compiled 30 to 21 computations (30% saved)

series3.0ms (0.1%)

Counts

2 → 0

Calls

9 calls:

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

rewrite58.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

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

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

47 → 47

Calls

Call 1

Inputs

Outputs

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(*.f64 1/2 (/.f64 g a))
✓	0.2b	(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6) 2)
✓	16.5b	(pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6)

Compiler

Compiled 31 to 18 computations (41.9% saved)

series117.0ms (2.6%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
39.0ms	a	@	-inf	(pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6)
22.0ms	g	@	0	(pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6)
18.0ms	g	@	-inf	(pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6)
16.0ms	a	@	0	(pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6)
10.0ms	g	@	inf	(pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6)

rewrite59.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

454×	`log-prod_binary64`
352×	`exp-prod_binary64`
290×	`prod-exp_binary64`
255×	`cbrt-unprod_binary64`
254×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	223	19
2	2606	19

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

Inputs
(pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6)
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 (*.f64 1/2 g) a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 1/2 g) a) 1/6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 1/2 g) a) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 1/2 g) a) 1/6)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 1/2 g) a) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 1/2 g) a) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 1/2 g) a) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (*.f64 1/2 g) a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 1/2 g) a) 1/18) (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 1/2 g) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 1/2 g) a))) (pow.f64 (/.f64 (*.f64 1/2 g) a) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/2 1/6) (pow.f64 (/.f64 g a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 g a) 1/6) (pow.f64 1/2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 1/2 g) a) 1/12) (pow.f64 (/.f64 (*.f64 1/2 g) a) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 1/2 g) a) 1/18) 4)) (pow.f64 (/.f64 (*.f64 1/2 g) a) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (/.f64 (*.f64 1/2 g) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (/.f64 (*.f64 1/2 g) a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 1/2 g) a) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (sqrt.f64 (/.f64 (*.f64 1/2 g) a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 1/2 1/6) 3) (sqrt.f64 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (sqrt.f64 (/.f64 g a)) (pow.f64 (pow.f64 1/2 1/6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (*.f64 1/2 g) a) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (*.f64 1/2 g) a) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 (*.f64 1/2 g) a) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 1/2 g) a))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 1/2 g) a) 2)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 1/2 g) a) 1/18)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 1/2 g) a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 1/2 g) a)) 1/12) 2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 (*.f64 1/2 g) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (*.f64 1/2 g) a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (*.f64 1/2 g) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (*.f64 1/2 g) a))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (*.f64 1/2 g) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (/.f64 (*.f64 1/2 g) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 1/2 g) a) 1/6) (pow.f64 (/.f64 (*.f64 1/2 g) a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 1/2 g) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 (*.f64 1/2 g) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 1/2 g) a))) (pow.f64 (pow.f64 (/.f64 (*.f64 1/2 g) a) 1/18) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 1/2 g) a) 1/18) 4) (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 1/2 g) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/2 1/6) (pow.f64 (*.f64 (/.f64 g a) (/.f64 (*.f64 1/2 g) a)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 1/2 g) a) 1/12) (pow.f64 (/.f64 (*.f64 1/2 g) a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 1/2 g) a) 1/4) (pow.f64 (/.f64 (*.f64 1/2 g) a) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 g) a)) 5/6) (pow.f64 (/.f64 (*.f64 1/2 g) a) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 (*.f64 1/2 g) a) 1/2) 1/6) (pow.f64 (/.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 (*.f64 1/2 g) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (*.f64 1/2 g) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (*.f64 1/2 g) a))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (*.f64 1/2 g) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (*.f64 1/2 g) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 1/2 g) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 1/2 g) a) 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 1/2 g) a)))) 3))))))

simplify87.0ms (2%)

Algorithm

1×	egg-herbie

Rules

439×	`distribute-rgt-in_binary64`
377×	`exp-sum_binary64`
313×	`distribute-lft-in_binary64`
288×	`fma-neg_binary64`
268×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	840
1	142	840
2	346	696
3	998	456
4	3584	456

Stop Event

1×	node limit

Counts

99 → 65

Calls

Call 1

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

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

eval109.0ms (2.5%)

Compiler: Compiled 3823 to 2698 computations (29.4% saved)

prune73.0ms (1.7%)

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	321	15	336
Fresh	3	2	5
Picked	1	0	1
Done	0	5	5
Total	325	22	347

Error

0.0b

Counts

347 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
	1.2b	(.f64 (cbrt.f64 g) (/.f64 1 (.f64 (cbrt.f64 a) (cbrt.f64 2))))
▶	16.4b	(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
✓	41.8b	(pow.f64 (*.f64 1/2 (/.f64 g a)) 1/3)
✓	16.4b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	47.5b	(/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (.f64 4 (.f64 a a)))))
▶	1.2b	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))
▶	33.6b	(/.f64 (pow.f64 g 1/3) (cbrt.f64 (*.f64 2 a)))
	1.4b	(/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) 3))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	16.7b	(*.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 1/2))
	40.1b	(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 1/2 g) a))) 2)
	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
▶	1.2b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
	1.1b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
	60.2b	(*.f64 (cbrt.f64 g) (log.f64 (exp.f64 (cbrt.f64 (/.f64 1/2 a)))))
✓	0.8b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
	0.8b	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
	16.3b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
▶	0.8b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))

Compiler

Compiled 404 to 324 computations (19.8% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 24 to 14 computations (41.7% saved)

series5.0ms (0.1%)

Counts

3 → 0

Calls

12 calls:

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

rewrite63.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

888×	`pow1_binary64`
827×	`add-log-exp_binary64`
827×	`log1p-expm1-u_binary64`
827×	`expm1-log1p-u_binary64`
805×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	181	18
2	2229	18

Stop Event

1×	node limit

Counts

3 → 70

Calls

Call 1

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

70 → 70

Calls

Call 1

Inputs

Outputs

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 1/2 a) g)
✓	16.0b	(cbrt.f64 (*.f64 (/.f64 1/2 a) g))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite57.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

Outputs

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

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

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

68 → 45

Calls

Call 1

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

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

localize16.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (pow.f64 g 1/3) (cbrt.f64 (*.f64 2 a)))
	0.6b	(cbrt.f64 (*.f64 2 a))
✓	2.6b	(pow.f64 g 1/3)

Compiler

Compiled 24 to 17 computations (29.2% saved)

series4.0ms (0.1%)

Counts

2 → 0

Calls

9 calls:

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

rewrite60.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

855×	`pow1_binary64`
798×	`add-log-exp_binary64`
798×	`log1p-expm1-u_binary64`
798×	`expm1-log1p-u_binary64`
779×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	190	12
2	2169	12

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

Outputs

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

49 → 49

Calls

Call 1

Inputs

Outputs

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))
	0.6b	(cbrt.f64 a)
	0.6b	(cbrt.f64 g)
✓	1.0b	(cbrt.f64 2)

Compiler

Compiled 24 to 14 computations (41.7% saved)

series3.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

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

rewrite66.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

975×	`pow1_binary64`
910×	`add-log-exp_binary64`
910×	`log1p-expm1-u_binary64`
910×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	187	12
2	2425	12

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

55 → 55

Calls

Call 1

Inputs

Outputs

localize30.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(cbrt.f64 a)
	0.6b	(cbrt.f64 g)
✓	1.0b	(/.f64 1 (cbrt.f64 2))
	1.0b	(cbrt.f64 2)

Compiler

Compiled 31 to 18 computations (41.9% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite43.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

365×	`pow1_binary64`
361×	`add-sqr-sqrt_binary64`
347×	`*-un-lft-identity_binary64`
345×	`add-log-exp_binary64`
345×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	98	6
2	1017	3

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (cbrt.f64 1/2)))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 1/2)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 1/2)) (cbrt.f64 (cbrt.f64 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/2 1/6) (pow.f64 1/2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (cbrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 1/4)) (cbrt.f64 (cbrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 5/2)) (cbrt.f64 (pow.f64 1/2 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/4 (cbrt.f64 1/4)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 1/2) 1/3) (pow.f64 (sqrt.f64 1/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/4 (cbrt.f64 1/4))) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 1/2) 5/2) 1/3) (cbrt.f64 (pow.f64 1/2 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 1/2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 1/2))) 3))))) (#(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 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (cbrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 1/4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 4) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 1/2)) 3)))) (#(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 1/2 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 2 1/6) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 1/2 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (cbrt.f64 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 1/2)) 2))) (cbrt.f64 (log.f64 (cbrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 1/2)))) (sqrt.f64 (log.f64 (cbrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (cbrt.f64 2) -3/2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 2) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 1/2 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 1/2) 1/3))))))

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

44 → 44

Calls

Call 1

Inputs

Outputs

eval100.0ms (2.3%)

Compiler: Compiled 4549 to 2959 computations (35% saved)

prune97.0ms (2.2%)

Pruning

27 alts after pruning (17 fresh and 10 done)

	Pruned	Kept	Total
New	384	5	389
Fresh	0	12	12
Picked	0	1	1
Done	0	9	9
Total	384	27	411

Error

0.0b

Counts

411 → 27

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
	1.2b	(.f64 (cbrt.f64 g) (/.f64 1 (.f64 (cbrt.f64 a) (cbrt.f64 2))))
✓	16.4b	(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
✓	41.8b	(pow.f64 (*.f64 1/2 (/.f64 g a)) 1/3)
✓	16.4b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	47.5b	(/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (.f64 4 (.f64 a a)))))
✓	1.2b	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))
	2.0b	(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 2)) -3) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
✓	33.6b	(/.f64 (pow.f64 g 1/3) (cbrt.f64 (*.f64 2 a)))
▶	1.4b	(/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) 3))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	16.7b	(*.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 1/2))
✓	0.8b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
▶	16.8b	(cbrt.f64 (/.f64 1/2 (/.f64 a g)))
	31.5b	(/.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 g 1/2))) 2) (cbrt.f64 a))
	1.6b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 2)) 3)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
▶	40.1b	(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 1/2 g) a))) 2)
	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
✓	1.2b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
	1.1b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
	60.2b	(*.f64 (cbrt.f64 g) (log.f64 (exp.f64 (cbrt.f64 (/.f64 1/2 a)))))
✓	0.8b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
▶	0.9b	(.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (.f64 g 1/2)))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
	0.8b	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
	16.3b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))

Compiler

Compiled 472 to 382 computations (19.1% saved)

localize31.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 34 to 25 computations (26.5% saved)

series8.0ms (0.2%)

Counts

3 → 0

Calls

12 calls:

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

rewrite80.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

904×	`pow1_binary64`
835×	`add-log-exp_binary64`
835×	`log1p-expm1-u_binary64`
835×	`expm1-log1p-u_binary64`
812×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	215	21
2	2390	21

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

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

Outputs

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

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

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

51 → 51

Calls

Call 1

Inputs

Outputs

localize14.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 1/2 (/.f64 a g))
✓	16.0b	(cbrt.f64 (/.f64 1/2 (/.f64 a g)))

Compiler

Compiled 19 to 9 computations (52.6% saved)

series7.0ms (0.2%)

Counts

2 → 24

Calls

12 calls:

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

rewrite84.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify63.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

81 → 57

Calls

Call 1

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

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

localize25.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 28 to 18 computations (35.7% saved)

series8.0ms (0.2%)

Counts

3 → 0

Calls

12 calls:

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

rewrite85.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	195	21
2	2196	21

Stop Event

1×	node limit

Counts

3 → 66

Calls

Call 1

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

Outputs

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

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

simplify14.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

66 → 66

Calls

Call 1

Inputs

Outputs

localize32.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 1/2 g) a))) 2)
✓	0.3b	(cbrt.f64 (sqrt.f64 (/.f64 (*.f64 1/2 g) a)))
✓	12.3b	(sqrt.f64 (/.f64 (*.f64 1/2 g) a))

Compiler

Compiled 36 to 25 computations (30.6% saved)

series137.0ms (3.1%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
46.0ms	a	@	inf	(cbrt.f64 (sqrt.f64 (/.f64 (*.f64 1/2 g) a)))
29.0ms	g	@	0	(cbrt.f64 (sqrt.f64 (/.f64 (*.f64 1/2 g) a)))
23.0ms	a	@	0	(cbrt.f64 (sqrt.f64 (/.f64 (*.f64 1/2 g) a)))
12.0ms	g	@	inf	(cbrt.f64 (sqrt.f64 (/.f64 (*.f64 1/2 g) a)))
6.0ms	g	@	-inf	(cbrt.f64 (sqrt.f64 (/.f64 (*.f64 1/2 g) a)))

rewrite99.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

952×	`pow1_binary64`
889×	`add-log-exp_binary64`
889×	`log1p-expm1-u_binary64`
889×	`expm1-log1p-u_binary64`
98×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	209	28
2	2496	28

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

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

Outputs

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

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

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

simplify100.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

647×	`fma-def_binary64`
628×	`unswap-sqr_binary64`
297×	`*-commutative_binary64`
279×	`fma-neg_binary64`
263×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	65	1264
1	170	1064
2	420	888
3	1408	696
4	4447	632

Stop Event

1×	node limit

Counts

125 → 91

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 (sqrt.f64 1/2) 1) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(.f64 (pow.f64 (.f64 (sqrt.f64 1/2) 1) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(.f64 (pow.f64 (.f64 (sqrt.f64 1/2) 1) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(.f64 (pow.f64 (.f64 (sqrt.f64 1/2) 1) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(.f64 (pow.f64 (.f64 (sqrt.f64 1/2) 1) 1/3) (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))))
(.f64 (pow.f64 (.f64 (sqrt.f64 1/2) 1) 1/3) (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))))
(.f64 (pow.f64 (.f64 (sqrt.f64 1/2) 1) 1/3) (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))))
(.f64 (pow.f64 (.f64 (sqrt.f64 1/2) 1) 1/3) (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 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))))) (pow.f64 (.f64 1 (sqrt.f64 -1/2)) 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))) (pow.f64 (.f64 1 (sqrt.f64 -1/2)) 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))) (pow.f64 (.f64 1 (sqrt.f64 -1/2)) 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))) (pow.f64 (.f64 1 (sqrt.f64 -1/2)) 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (.f64 -1 (log.f64 a))))) (pow.f64 (.f64 (sqrt.f64 1/2) 1) 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (.f64 -1 (log.f64 a))))) (pow.f64 (.f64 (sqrt.f64 1/2) 1) 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (.f64 -1 (log.f64 a))))) (pow.f64 (.f64 (sqrt.f64 1/2) 1) 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (.f64 -1 (log.f64 a))))) (pow.f64 (.f64 (sqrt.f64 1/2) 1) 1/3))
(.f64 (pow.f64 (.f64 (sqrt.f64 1/2) 1) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(.f64 (pow.f64 (.f64 (sqrt.f64 1/2) 1) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(.f64 (pow.f64 (.f64 (sqrt.f64 1/2) 1) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(.f64 (pow.f64 (.f64 (sqrt.f64 1/2) 1) 1/3) (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))))) (pow.f64 (*.f64 1 (sqrt.f64 -1/2)) 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) (pow.f64 (*.f64 1 (sqrt.f64 -1/2)) 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) (pow.f64 (*.f64 1 (sqrt.f64 -1/2)) 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) (pow.f64 (*.f64 1 (sqrt.f64 -1/2)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) 1) 1/3) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) 1) 1/3) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) 1) 1/3) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) 1) 1/3) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) 1) 1/3) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))) 2))
(.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) 1) 1/3) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))) 2))
(.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) 1) 1/3) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))) 2))
(.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) 1) 1/3) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 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) (pow.f64 (.f64 1 (pow.f64 (sqrt.f64 -1/2) 2)) 1/3))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))) 2) (pow.f64 (.f64 1 (pow.f64 (sqrt.f64 -1/2) 2)) 1/3))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))) 2) (pow.f64 (.f64 1 (pow.f64 (sqrt.f64 -1/2) 2)) 1/3))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))) 2) (pow.f64 (.f64 1 (pow.f64 (sqrt.f64 -1/2) 2)) 1/3))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (.f64 -1 (log.f64 a))))) 2) (pow.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) 1) 1/3))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (.f64 -1 (log.f64 a))))) 2) (pow.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) 1) 1/3))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (.f64 -1 (log.f64 a))))) 2) (pow.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) 1) 1/3))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (.f64 -1 (log.f64 a))))) 2) (pow.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) 1) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) 1) 1/3) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) 1) 1/3) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) 1) 1/3) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 1/2) 2) 1) 1/3) (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) (pow.f64 (*.f64 1 (pow.f64 (sqrt.f64 -1/2) 2)) 1/3))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) 2) (pow.f64 (*.f64 1 (pow.f64 (sqrt.f64 -1/2) 2)) 1/3))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) 2) (pow.f64 (*.f64 1 (pow.f64 (sqrt.f64 -1/2) 2)) 1/3))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) 2) (pow.f64 (*.f64 1 (pow.f64 (sqrt.f64 -1/2) 2)) 1/3))

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

localize40.0ms (0.9%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 37 to 27 computations (27% saved)

series54.0ms (1.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
29.0ms	a	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) 3)
13.0ms	a	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) 3)
10.0ms	a	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) 3)
1.0ms	a	@	-inf	(cbrt.f64 (cbrt.f64 (*.f64 2 a)))
1.0ms	a	@	0	(cbrt.f64 (cbrt.f64 (*.f64 2 a)))

rewrite75.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

562×	`pow1_binary64`
529×	`add-log-exp_binary64`
528×	`log1p-expm1-u_binary64`
528×	`expm1-log1p-u_binary64`
515×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	165	14
2	1537	14

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

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

simplify247.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	348
1	71	324
2	142	324
3	326	324
4	1152	280
5	2185	280
6	2297	280
7	2496	280
8	2762	280
9	3026	280
10	3357	280
11	3774	280
12	4238	280
13	4792	280
14	5076	280
15	5248	280
16	5352	280
17	5472	280
18	5508	280
19	5957	280
20	6529	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 2) (pow.f64 a 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cbrt.f64 2) (pow.f64 a 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cbrt.f64 2) (pow.f64 a 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cbrt.f64 2) (pow.f64 a 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cbrt.f64 2) (pow.f64 a 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cbrt.f64 2) (pow.f64 a 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cbrt.f64 2) (pow.f64 a 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (cbrt.f64 2) (pow.f64 a 1/3)))
(.f64 (pow.f64 (.f64 -1 a) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -2)))
(.f64 (pow.f64 (.f64 -1 a) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -2)))
(.f64 (pow.f64 (.f64 -1 a) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -2)))
(.f64 (pow.f64 (.f64 -1 a) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -2)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) a) 1/9) (pow.f64 (cbrt.f64 2) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) a) 1/9) (pow.f64 (cbrt.f64 2) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) a) 1/9) (pow.f64 (cbrt.f64 2) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) a) 1/9) (pow.f64 (cbrt.f64 2) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) a) 1/9) (pow.f64 (cbrt.f64 2) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) a) 1/9) (pow.f64 (cbrt.f64 2) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) a) 1/9) (pow.f64 (cbrt.f64 2) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) a) 1/9) (pow.f64 (cbrt.f64 2) 1/3))
(.f64 (pow.f64 (.f64 -1 a) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -2)) 1/3))
(.f64 (pow.f64 (.f64 -1 a) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -2)) 1/3))
(.f64 (pow.f64 (.f64 -1 a) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -2)) 1/3))
(.f64 (pow.f64 (.f64 -1 a) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -2)) 1/3))

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

eval194.0ms (4.4%)

Compiler: Compiled 4873 to 3564 computations (26.9% saved)

prune72.0ms (1.6%)

Pruning

26 alts after pruning (13 fresh and 13 done)

	Pruned	Kept	Total
New	384	7	391
Fresh	6	6	12
Picked	0	1	1
Done	2	12	14
Total	392	26	418

Error

Counts

418 → 26

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
	1.2b	(.f64 (cbrt.f64 g) (/.f64 1 (.f64 (cbrt.f64 a) (cbrt.f64 2))))
✓	16.4b	(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
✓	41.8b	(pow.f64 (*.f64 1/2 (/.f64 g a)) 1/3)
✓	16.4b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	0.9b	(/.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 a) (cbrt.f64 1/2)))
	16.3b	(/.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 a g)))
	47.5b	(/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (.f64 4 (.f64 a a)))))
✓	1.2b	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))
	0.9b	(/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 g 1/2))))
	16.3b	(/.f64 1 (cbrt.f64 (*.f64 (/.f64 a g) 2)))
✓	1.4b	(/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) 3))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	16.7b	(*.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 1/2))
✓	0.8b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
✓	16.8b	(cbrt.f64 (/.f64 1/2 (/.f64 a g)))
	31.5b	(/.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 g 1/2))) 2) (cbrt.f64 a))
✓	40.1b	(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 1/2 g) a))) 2)
	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
✓	1.2b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
	1.1b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
	47.5b	(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 g -1/2)) (sqrt.f64 (neg.f64 a)))) 2)
	0.7b	(.f64 (cbrt.f64 (.f64 1/2 g)) (cbrt.f64 (/.f64 1 a)))
✓	0.8b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))

Compiler

Compiled 268 to 215 computations (19.8% saved)

regimes148.0ms (3.4%)

Counts

38 → 1

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 1/2 (/.f64 a g)))
(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
(cbrt.f64 (/.f64 g (*.f64 2 a)))
(pow.f64 (*.f64 1/2 (/.f64 g a)) 1/3)
(/.f64 1 (cbrt.f64 (*.f64 (/.f64 a g) 2)))
(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
(/.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 a g)))
(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
(*.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 1/2))
(*.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 (pow.f64 g 1/3) (cbrt.f64 (*.f64 2 a)))
(/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 g 1/2))))
(.f64 (cbrt.f64 (.f64 1/2 g)) (cbrt.f64 (/.f64 1 a)))
(.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (.f64 g 1/2)))
(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6) 2)
(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
(/.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 a) (cbrt.f64 1/2)))
(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))
(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 1/2 g) a))) 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 (cbrt.f64 g) (/.f64 1 (.f64 (cbrt.f64 a) (cbrt.f64 2))))
(/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (.f64 4 (.f64 a a)))))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
(*.f64 (cbrt.f64 g) (log.f64 (exp.f64 (cbrt.f64 (/.f64 1/2 a)))))
(/.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 g 1/2))) 2) (cbrt.f64 a))
(/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) 3))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 g -1/2)) (sqrt.f64 (neg.f64 a)))) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 2)) -3) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 2)) 3)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 g a)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))

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

Calls

6 calls:

32.0ms	g
27.0ms	a
21.0ms	(*.f64 2 a)
19.0ms	(*.f64 2 a)
17.0ms	(/.f64 g (*.f64 2 a))

Results

Error	Segments	Branch
0.7b	1	`g`
0.7b	1	`a`
0.7b	1	`(cbrt.f64 (/.f64 g (*.f64 2 a)))`
0.7b	1	`(/.f64 g (*.f64 2 a))`
0.7b	1	`(*.f64 2 a)`
0.7b	1	`(*.f64 2 a)`

Compiler

Compiled 366 to 239 computations (34.7% saved)

regimes85.0ms (1.9%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

5 calls:

16.0ms	g
16.0ms	(*.f64 2 a)
16.0ms	a
15.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))
14.0ms	(/.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 128 to 86 computations (32.8% saved)

regimes58.0ms (1.3%)

Counts

11 → 1

Calls

Call 1

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

5 calls:

14.0ms	(*.f64 2 a)
13.0ms	(/.f64 g (*.f64 2 a))
9.0ms	a
8.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))
7.0ms	g

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 104 to 70 computations (32.7% saved)

regimes40.0ms (0.9%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	a
7.0ms	g
7.0ms	(/.f64 g (*.f64 2 a))
6.0ms	(*.f64 2 a)
6.0ms	(cbrt.f64 (/.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 90 to 61 computations (32.2% saved)

regimes32.0ms (0.7%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	a
6.0ms	(/.f64 g (*.f64 2 a))
6.0ms	(*.f64 2 a)
5.0ms	g
5.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Results

Error	Segments	Branch
16.3b	1	`g`
16.3b	1	`a`
16.3b	1	`(cbrt.f64 (/.f64 g (*.f64 2 a)))`
16.3b	1	`(/.f64 g (*.f64 2 a))`
16.3b	1	`(*.f64 2 a)`

Compiler

Compiled 76 to 52 computations (31.6% saved)

regimes25.0ms (0.6%)

Accuracy

Total -25.6b remaining (-156.5%)

Threshold costs -25.6b (-156.5%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Error	Segments	Branch
16.4b	1	`g`
16.4b	1	`a`
16.4b	1	`(cbrt.f64 (/.f64 g (*.f64 2 a)))`
16.4b	1	`(/.f64 g (*.f64 2 a))`
16.4b	1	`(*.f64 2 a)`

Compiler

Compiled 53 to 38 computations (28.3% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	77
1	38	77

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 64 to 50 computations (21.9% saved)

soundness0.0ms (0%)

end52.0ms (1.2%)

Compiler: Compiled 52 to 36 computations (30.8% saved)