Details

analyze42.0ms (0.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
56.2%	43.7%	0.1%	6
65.6%	34.3%	0.1%	7
76.5%	23.4%	0.1%	8
82%	18%	0.1%	9
87.8%	12.1%	0.1%	10
90.7%	9.2%	0.1%	11
93.8%	6.1%	0.1%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample895.0ms (17.7%)

Results

880.0ms

8256×

body

256

valid

preprocess22.0ms (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)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

13.6b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.6b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 8 to 6 computations (25% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	13.2b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series7.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

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

rewrite53.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

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

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

Outputs

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

27 → 27

Calls

Call 1

Inputs

Outputs

eval7.0ms (0.1%)

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

prune15.0ms (0.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	16	11	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	12	28

Error

0.2b

Counts

28 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	13.6b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
▶	41.9b	(exp.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))
	42.2b	(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))))
▶	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)))
▶	13.4b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
	27.9b	(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))
	14.3b	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 g a)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))
	14.3b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 3)
	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))

Compiler

Compiled 248 to 196 computations (21% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite66.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

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

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

Outputs

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

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

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

71 → 71

Calls

Call 1

Inputs

Outputs

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 2 (/.f64 a g))
✓	0.3b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
✓	13.0b	(cbrt.f64 (*.f64 2 (/.f64 a g)))

Compiler

Compiled 28 to 15 computations (46.4% saved)

series11.0ms (0.2%)

Counts

3 → 0

Calls

18 calls:

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

rewrite67.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

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

Outputs

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

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

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

69 → 69

Calls

Call 1

Inputs

Outputs

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

series5.0ms (0.1%)

Counts

3 → 0

Calls

12 calls:

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

rewrite63.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

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

Outputs

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

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

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

72 → 72

Calls

Call 1

Inputs

Outputs

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 31 to 20 computations (35.5% saved)

series6.0ms (0.1%)

Counts

2 → 0

Calls

12 calls:

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

rewrite65.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

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

Outputs

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

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

75 → 75

Calls

Call 1

Inputs

Outputs

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))
✓	0.0b	(*.f64 1/2 (/.f64 g a))
✓	2.1b	(exp.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))
✓	13.2b	(cbrt.f64 (*.f64 1/2 (/.f64 g a)))

Compiler

Compiled 34 to 18 computations (47.1% saved)

series12.0ms (0.2%)

Counts

4 → 0

Calls

24 calls:

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

rewrite85.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	170	36
2	1998	36

Stop Event

1×	node limit

Counts

4 → 91

Calls

Call 1

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

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

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

91 → 67

Calls

Call 1

Inputs

Outputs

eval112.0ms (2.2%)

Compiler: Compiled 4726 to 3278 computations (30.6% saved)

prune87.0ms (1.7%)

Pruning

29 alts after pruning (25 fresh and 4 done)

	Pruned	Kept	Total
New	369	23	392
Fresh	4	2	6
Picked	1	0	1
Done	1	4	5
Total	375	29	404

Error

0.0b

Counts

404 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	1.6b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (/.f64 (cbrt.f64 (.f64 g 1/2)) (cbrt.f64 (cbrt.f64 a))))
✓	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
	0.8b	(.f64 (/.f64 1 (cbrt.f64 (.f64 2 a))) (pow.f64 (/.f64 1 (cbrt.f64 g)) -1))
	0.8b	(.f64 (/.f64 1 (cbrt.f64 (.f64 2 a))) (cbrt.f64 g))
	1.5b	(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (cbrt.f64 (*.f64 2 a)))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	1.1b	(/.f64 1 (/.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 2)) (cbrt.f64 g)))
	1.5b	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) (.f64 (cbrt.f64 (cbrt.f64 g)) (/.f64 1 (cbrt.f64 (*.f64 2 a)))))
▶	41.9b	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
✓	13.6b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
▶	1.5b	(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 3) (cbrt.f64 a))
	13.4b	(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
	13.7b	(cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 g (*.f64 2 a))) 3))
	40.8b	(pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (/.f64 a 1/2)))) 2)
	13.8b	(/.f64 1 (*.f64 (cbrt.f64 (/.f64 a g)) (cbrt.f64 2)))
	1.6b	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) (cbrt.f64 2)) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 a)))
	14.3b	(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (/.f64 a 1/2)))) 3)
▶	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 a))))
	14.2b	(/.f64 1 (cbrt.f64 (/.f64 2 (/.f64 g a))))
	1.1b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
▶	42.2b	(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6) 2)
	1.2b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
	0.9b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	13.5b	(/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) 3)))
	31.2b	(.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 4 (.f64 a a))))) (/.f64 (cbrt.f64 g) (cbrt.f64 (cbrt.f64 (.f64 2 a)))))
✓	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
▶	0.8b	(.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (.f64 g 1/2)))
	13.8b	(.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 2 (/.f64 a g))))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) -2)))

Compiler

Compiled 671 to 535 computations (20.3% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (cbrt.f64 a))
✓	0.3b	(.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (.f64 g 1/2)))
	0.5b	(cbrt.f64 (*.f64 g 1/2))
	0.6b	(cbrt.f64 a)

Compiler

Compiled 28 to 18 computations (35.7% saved)

series5.0ms (0.1%)

Counts

2 → 0

Calls

9 calls:

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

rewrite62.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

46 → 46

Calls

Call 1

Inputs

Outputs

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 2 (/.f64 a g))
✓	14.0b	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)

Compiler

Compiled 21 to 11 computations (47.6% saved)

series123.0ms (2.4%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
41.0ms	g	@	-inf	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
28.0ms	a	@	0	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
23.0ms	a	@	-inf	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
17.0ms	g	@	0	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
8.0ms	a	@	inf	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)

rewrite66.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

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

simplify67.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

41 → 24

Calls

Call 1

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

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

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 1/2 (/.f64 g a))
✓	0.3b	(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6) 2)
✓	13.7b	(pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6)

Compiler

Compiled 31 to 18 computations (41.9% saved)

series93.0ms (1.8%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
17.0ms	a	@	0	(pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6)
17.0ms	g	@	inf	(pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6)
15.0ms	a	@	-inf	(pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6)
14.0ms	g	@	-inf	(pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6)
13.0ms	g	@	0	(pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6)

rewrite69.0ms (1.4%)

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))))))

simplify65.0ms (1.3%)

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))

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 33 to 21 computations (36.4% saved)

series4.0ms (0.1%)

Counts

2 → 0

Calls

9 calls:

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

rewrite63.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

928×	`pow1_binary64`
859×	`add-log-exp_binary64`
859×	`log1p-expm1-u_binary64`
859×	`expm1-log1p-u_binary64`
836×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	215	17
2	2444	17

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

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

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

40 → 40

Calls

Call 1

Inputs

Outputs

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 37 to 27 computations (27% saved)

series84.0ms (1.7%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
68.0ms	g	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 3)
8.0ms	g	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 3)
4.0ms	g	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 3)
3.0ms	g	@	-inf	(cbrt.f64 (cbrt.f64 (*.f64 g 1/2)))
0.0ms	g	@	0	(cbrt.f64 (cbrt.f64 (*.f64 g 1/2)))

rewrite59.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

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

Outputs

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

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

simplify216.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

69 → 52

Calls

Call 1

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

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

eval127.0ms (2.5%)

Compiler: Compiled 4718 to 3421 computations (27.5% saved)

prune87.0ms (1.7%)

Pruning

30 alts after pruning (24 fresh and 6 done)

	Pruned	Kept	Total
New	362	17	379
Fresh	13	7	20
Picked	0	1	1
Done	3	5	8
Total	378	30	408

Error

0.0b

Counts

408 → 30

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.8b	(.f64 (/.f64 1 (cbrt.f64 (.f64 2 a))) (pow.f64 (/.f64 1 (cbrt.f64 g)) -1))
	1.6b	(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 a))) 3) (cbrt.f64 (.f64 g 1/2)))
	0.9b	(/.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 a) (cbrt.f64 1/2)))
▶	35.4b	(*.f64 (cbrt.f64 g) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 a))) 2))
✓	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	1.5b	(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 g 1/2))) 2) (/.f64 (cbrt.f64 a) (cbrt.f64 (cbrt.f64 (.f64 g 1/2)))))
	1.5b	(*.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 3))
✓	0.8b	(.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (.f64 g 1/2)))
	0.8b	(/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 g 1/2))))
✓	13.6b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
✓	1.5b	(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 3) (cbrt.f64 a))
	13.4b	(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
	13.6b	(*.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 1/2))
▶	13.8b	(/.f64 1 (*.f64 (cbrt.f64 (/.f64 a g)) (cbrt.f64 2)))
	14.2b	(/.f64 1 (cbrt.f64 (/.f64 2 (/.f64 g a))))
	40.8b	(pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 g 1/2) a))) 2)
	40.9b	(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 1/2 g) a))) 2)
▶	14.3b	(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 g 1/2) a))) 3)
	41.9b	(pow.f64 (/.f64 (*.f64 2 a) g) -1/3)
	36.8b	(.f64 (exp.f64 (neg.f64 (log.f64 (cbrt.f64 a)))) (cbrt.f64 (.f64 g 1/2)))
	1.1b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
	1.2b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
	13.8b	(cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 a)) 3) g))
	0.9b	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 (cbrt.f64 1/4)) (/.f64 (cbrt.f64 a) (cbrt.f64 (cbrt.f64 1/2)))))
▶	13.6b	(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
	13.5b	(/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) 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)))
	13.7b	(cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 g 1/2) a)) 3))

Compiler

Compiled 610 to 500 computations (18% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (cbrt.f64 (*.f64 2 a)))
✓	0.4b	(.f64 (/.f64 1 (cbrt.f64 (.f64 2 a))) (pow.f64 (/.f64 1 (cbrt.f64 g)) -1))
	0.5b	(cbrt.f64 g)
	0.6b	(cbrt.f64 (*.f64 2 a))

Compiler

Compiled 45 to 32 computations (28.9% saved)

series4.0ms (0.1%)

Counts

2 → 0

Calls

9 calls:

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

rewrite98.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

505×	`log-prod_binary64`
390×	`exp-prod_binary64`
316×	`pow-prod-down_binary64`
267×	`pow2_binary64`
202×	`pow-to-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	259	18
2	2975	18

Stop Event

1×	node limit

Counts

2 → 92

Calls

Call 1

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

Outputs

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

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

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

92 → 92

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)
✓	13.2b	(cbrt.f64 (*.f64 (/.f64 1/2 a) g))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	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))

rewrite60.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

Outputs

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

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

simplify14.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

68 → 45

Calls

Call 1

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

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

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (cbrt.f64 (/.f64 a g)) (cbrt.f64 2))
✓	0.3b	(/.f64 1 (*.f64 (cbrt.f64 (/.f64 a g)) (cbrt.f64 2)))
✓	1.0b	(cbrt.f64 2)
✓	13.1b	(cbrt.f64 (/.f64 a g))

Compiler

Compiled 31 to 16 computations (48.4% saved)

series11.0ms (0.2%)

Counts

4 → 0

Calls

18 calls:

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

rewrite94.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 84

Calls

Call 1

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

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

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

84 → 84

Calls

Call 1

Inputs

Outputs

localize20.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.5b	(cbrt.f64 (cbrt.f64 (/.f64 (*.f64 g 1/2) a)))
✓	0.8b	(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 g 1/2) a))) 3)
✓	13.2b	(cbrt.f64 (/.f64 (*.f64 g 1/2) a))

Compiler

Compiled 36 to 25 computations (30.6% saved)

series77.0ms (1.5%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
24.0ms	a	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 g 1/2) a))) 3)
17.0ms	g	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 g 1/2) a))) 3)
13.0ms	g	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 g 1/2) a))) 3)
13.0ms	a	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 g 1/2) a))) 3)
4.0ms	a	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 g 1/2) a))) 3)

rewrite101.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

906×	`pow1_binary64`
852×	`add-log-exp_binary64`
851×	`log1p-expm1-u_binary64`
851×	`expm1-log1p-u_binary64`
832×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	213	29
2	2339	29

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

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

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

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

simplify111.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

133 → 70

Calls

Call 1

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

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

localize37.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (cbrt.f64 g) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 a))) 2))
✓	0.2b	(pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 a))) 2)
	0.5b	(cbrt.f64 g)
✓	0.6b	(cbrt.f64 (/.f64 1/2 a))

Compiler

Compiled 37 to 27 computations (27% saved)

series41.0ms (0.8%)

Counts

3 → 12

Calls

12 calls:

Time	Variable		Point	Expression
16.0ms	a	@	0	(pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 a))) 2)
15.0ms	a	@	inf	(pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 a))) 2)
4.0ms	a	@	-inf	(pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 a))) 2)
1.0ms	a	@	0	(cbrt.f64 (/.f64 1/2 a))
1.0ms	g	@	-inf	(*.f64 (cbrt.f64 g) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 a))) 2))

rewrite80.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

865×	`pow1_binary64`
804×	`add-log-exp_binary64`
804×	`log1p-expm1-u_binary64`
804×	`expm1-log1p-u_binary64`
783×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	227	21
2	2292	21

Stop Event

1×	node limit

Counts

3 → 73

Calls

Call 1

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

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

simplify153.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1204×	`sqr-pow_binary64`
708×	`cube-prod_binary64`
678×	`fabs-mul_binary64`
660×	`pow-sqr_binary64`
416×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	132
1	28	132
2	43	132
3	78	132
4	190	132
5	599	132
6	889	132
7	1526	132
8	1635	132
9	1800	132
10	2016	132
11	2349	132
12	2808	132
13	3409	132
14	4162	132
15	5101	132
16	5611	132
17	6097	132
18	6495	132
19	6817	132
20	6977	132

Stop Event

1×	node limit

Counts

85 → 51

Calls

Call 1

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

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

eval133.0ms (2.6%)

Compiler: Compiled 5303 to 3556 computations (32.9% saved)

prune126.0ms (2.5%)

Pruning

30 alts after pruning (19 fresh and 11 done)

	Pruned	Kept	Total
New	391	7	398
Fresh	7	12	19
Picked	0	1	1
Done	0	10	10
Total	398	30	428

Error

0.0b

Counts

428 → 30

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.8b	(.f64 (/.f64 1 (cbrt.f64 (.f64 2 a))) (pow.f64 (/.f64 1 (cbrt.f64 g)) -1))
	1.6b	(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 a))) 3) (cbrt.f64 (.f64 g 1/2)))
	0.9b	(/.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 a) (cbrt.f64 1/2)))
✓	35.4b	(*.f64 (cbrt.f64 g) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 a))) 2))
	0.8b	(/.f64 (/.f64 1 (cbrt.f64 (+.f64 a a))) (/.f64 1 (cbrt.f64 g)))
✓	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	1.5b	(*.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 3))
✓	0.8b	(.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (.f64 g 1/2)))
	0.8b	(/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 g 1/2))))
✓	13.6b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
✓	1.5b	(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 3) (cbrt.f64 a))
	13.4b	(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
	13.6b	(*.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 1/2))
✓	13.8b	(/.f64 1 (*.f64 (cbrt.f64 (/.f64 a g)) (cbrt.f64 2)))
	1.5b	(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 g 1/2))))) 3)
	40.9b	(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 1/2 g) a))) 2)
	41.4b	(cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 3)))
	14.2b	(cbrt.f64 (/.f64 1/2 (/.f64 a g)))
	0.8b	(*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 g))
✓	14.3b	(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 g 1/2) a))) 3)
	1.1b	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))
	41.9b	(pow.f64 (/.f64 (*.f64 2 a) g) -1/3)
	1.1b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
	1.2b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
✓	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	13.7b	(cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 g 1/2) a)) 3))
	14.2b	(/.f64 1 (cbrt.f64 (/.f64 2 (/.f64 g a))))
	1.0b	(/.f64 1 (.f64 (.f64 (cbrt.f64 a) (cbrt.f64 (/.f64 1 g))) (cbrt.f64 2)))
✓	13.6b	(cbrt.f64 (*.f64 (/.f64 1/2 a) g))

Compiler

Compiled 325 to 264 computations (18.8% saved)

regimes464.0ms (9.2%)

Counts

59 → 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 (*.f64 2 a) g) -1/3)
(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
(/.f64 1 (cbrt.f64 (/.f64 2 (/.f64 g a))))
(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
(*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 g))
(*.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 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
(/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 g 1/2))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 2 a))) (cbrt.f64 g))
(/.f64 1 (*.f64 (cbrt.f64 (/.f64 a g)) (cbrt.f64 2)))
(.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (.f64 g 1/2)))
(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 (/.f64 1 (cbrt.f64 (+.f64 a a))) (/.f64 1 (cbrt.f64 g)))
(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))
(/.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 a) (cbrt.f64 1/2)))
(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))
(cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 3)))
(pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 g 1/2) a))) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 1/2 g) a))) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 g 1/2) a))) 3)
(cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 a)) 3) g))
(cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 g 1/2) a)) 3))
(cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 g (*.f64 2 a))) 3))
(pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (/.f64 a 1/2)))) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (/.f64 a 1/2)))) 3)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 3)
(/.f64 1 (/.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 2)) (cbrt.f64 g)))
(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 a))))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
(/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) 3)))
(/.f64 1 (.f64 (.f64 (cbrt.f64 a) (cbrt.f64 (/.f64 1 g))) (cbrt.f64 2)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 2 a))) (pow.f64 (/.f64 1 (cbrt.f64 g)) -1))
(*.f64 (cbrt.f64 g) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 a))) 2))
(*.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 3))
(.f64 (exp.f64 (neg.f64 (log.f64 (cbrt.f64 a)))) (cbrt.f64 (.f64 g 1/2)))
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (cbrt.f64 (*.f64 2 a)))
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 3) (cbrt.f64 a))
(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 g 1/2))))) 3)
(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 a))) 3) (cbrt.f64 (.f64 g 1/2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 g a)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))
(.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 4 (.f64 a a))))) (/.f64 (cbrt.f64 g) (cbrt.f64 (cbrt.f64 (.f64 2 a)))))
(.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 2 (/.f64 a g))))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) -2)))
(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 (cbrt.f64 1/4)) (/.f64 (cbrt.f64 a) (cbrt.f64 (cbrt.f64 1/2)))))
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 g 1/2))) 2) (/.f64 (cbrt.f64 a) (cbrt.f64 (cbrt.f64 (.f64 g 1/2)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (/.f64 (cbrt.f64 (.f64 g 1/2)) (cbrt.f64 (cbrt.f64 a))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) (.f64 (cbrt.f64 (cbrt.f64 g)) (/.f64 1 (cbrt.f64 (*.f64 2 a)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) (cbrt.f64 2)) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 a)))

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

Calls

8 calls:

75.0ms	a
56.0ms	(*.f64 2 a)
54.0ms	g
53.0ms	(*.f64 2 a)
50.0ms	(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	`(cbrt.f64 (/.f64 g (*.f64 2 a)))`
0.8b	1	`(/.f64 g (*.f64 2 a))`
0.8b	1	`(/.f64 g (*.f64 2 a))`
0.8b	1	`(*.f64 2 a)`
0.8b	1	`(*.f64 2 a)`

Compiler

Compiled 628 to 424 computations (32.5% saved)

regimes62.0ms (1.2%)

Counts

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

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

Calls

5 calls:

16.0ms	(*.f64 2 a)
12.0ms	a
10.0ms	g
10.0ms	(/.f64 g (*.f64 2 a))
9.0ms	(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 153 to 103 computations (32.7% saved)

regimes52.0ms (1%)

Counts

12 → 1

Calls

Call 1

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

Calls

6 calls:

10.0ms	(*.f64 2 a)
9.0ms	(*.f64 2 a)
8.0ms	g
7.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))
7.0ms	a

Results

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

Compiler

Compiled 117 to 81 computations (30.8% saved)

regimes51.0ms (1%)

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

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

Calls

6 calls:

12.0ms	(*.f64 2 a)
8.0ms	g
7.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))
7.0ms	(*.f64 2 a)
7.0ms	(/.f64 g (*.f64 2 a))

Results

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

Compiler

Compiled 110 to 76 computations (30.9% saved)

regimes64.0ms (1.3%)

Counts

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

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

Calls

5 calls:

13.0ms	g
12.0ms	(*.f64 2 a)
12.0ms	(/.f64 g (*.f64 2 a))
12.0ms	a
11.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Results

Error	Segments	Branch
13.4b	1	`g`
13.4b	1	`a`
13.4b	1	`(cbrt.f64 (/.f64 g (*.f64 2 a)))`
13.4b	1	`(/.f64 g (*.f64 2 a))`
13.4b	1	`(*.f64 2 a)`

Compiler

Compiled 84 to 59 computations (29.8% saved)

regimes41.0ms (0.8%)

Accuracy

Total -28.9b remaining (-212.8%)

Threshold costs -28.9b (-212.8%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

6 calls:

10.0ms	(*.f64 2 a)
10.0ms	(*.f64 2 a)
5.0ms	a
5.0ms	g
4.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Results

Error	Segments	Branch
13.6b	1	`g`
13.6b	1	`a`
13.6b	1	`(cbrt.f64 (/.f64 g (*.f64 2 a)))`
13.6b	1	`(/.f64 g (*.f64 2 a))`
13.6b	1	`(*.f64 2 a)`
13.6b	1	`(*.f64 2 a)`

Compiler

Compiled 65 to 46 computations (29.2% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	77
1	34	77

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

end50.0ms (1%)

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