Details

analyze71.0ms (1.6%)

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)

sample953.0ms (21%)

Results

940.0ms

8256×

body

256

valid

preprocess19.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 10 to 8 computations (20% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

14.5b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.5b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 8 to 6 computations (25% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.2b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series6.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

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

rewrite50.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

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

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

Outputs

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

27 → 27

Calls

Call 1

Inputs

Outputs

eval6.0ms (0.1%)

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

prune13.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

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

Error

0.2b

Counts

28 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.9b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
	17.2b	(.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)))))
▶	15.1b	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 g a)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))
	0.9b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
	15.2b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 3)
▶	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
✓	14.5b	(cbrt.f64 (/.f64 g (*.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)))
▶	0.9b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))

Compiler

Compiled 226 to 176 computations (22.1% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

series6.0ms (0.1%)

Counts

3 → 0

Calls

12 calls:

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

rewrite62.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	164	18
2	1911	18

Stop Event

1×	node limit

Counts

3 → 57

Calls

Call 1

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

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

Outputs

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

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

57 → 57

Calls

Call 1

Inputs

Outputs

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
✓	14.5b	(cbrt.f64 (*.f64 2 (/.f64 a g)))

Compiler

Compiled 28 to 15 computations (46.4% saved)

series9.0ms (0.2%)

Counts

2 → 0

Calls

12 calls:

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

rewrite64.0ms (1.4%)

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	21
1	185	21
2	2242	21

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

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

49 → 49

Calls

Call 1

Inputs

Outputs

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite61.0ms (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)))))))))

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

72 → 72

Calls

Call 1

Inputs

Outputs

localize19.0ms (0.4%)

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)

series8.0ms (0.2%)

Counts

3 → 0

Calls

15 calls:

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

rewrite67.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	204	24
2	2506	24

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

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

96 → 96

Calls

Call 1

Inputs

Outputs

localize24.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 g a)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))
✓	0.5b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2)
✓	0.6b	(cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))
✓	14.2b	(cbrt.f64 (*.f64 1/2 (/.f64 g a)))

Compiler

Compiled 53 to 31 computations (41.5% saved)

series86.0ms (1.9%)

Counts

4 → 48

Calls

24 calls:

Time	Variable		Point	Expression
29.0ms	g	@	0	(cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))
26.0ms	a	@	0	(cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))
8.0ms	g	@	inf	(cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))
7.0ms	a	@	inf	(cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))
3.0ms	g	@	-inf	(cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))

rewrite81.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

928×	`pow1_binary64`
866×	`add-log-exp_binary64`
865×	`log1p-expm1-u_binary64`
865×	`expm1-log1p-u_binary64`
845×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	231	43
2	2440	43

Stop Event

1×	node limit

Counts

4 → 78

Calls

Call 1

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

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

simplify73.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	65	1264
1	171	1184
2	415	1096
3	1412	1080
4	4466	1000

Stop Event

1×	node limit

Counts

126 → 81

Calls

Call 1

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

Outputs
(.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 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 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 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 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 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 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 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 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 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 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 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 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 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 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 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 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 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))))
(.f64 (cbrt.f64 (cbrt.f64 -1/2)) (exp.f64 (.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 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 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))))
(.f64 (cbrt.f64 (cbrt.f64 -1/2)) (exp.f64 (.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 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 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))))
(.f64 (cbrt.f64 (cbrt.f64 -1/2)) (exp.f64 (.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 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 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))))
(.f64 (cbrt.f64 (cbrt.f64 -1/2)) (exp.f64 (.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 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 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 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 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 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 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 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 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 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 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 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 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 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 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 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 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 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 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))))
(.f64 (cbrt.f64 (cbrt.f64 -1/2)) (exp.f64 (.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 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 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))))
(.f64 (cbrt.f64 (cbrt.f64 -1/2)) (exp.f64 (.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 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 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))))
(.f64 (cbrt.f64 (cbrt.f64 -1/2)) (exp.f64 (.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 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 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))))
(.f64 (cbrt.f64 (cbrt.f64 -1/2)) (exp.f64 (.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a))))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (exp.f64 (.f64 (-.f64 (log.f64 g) (log.f64 a)) 2/9)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (/.f64 g a) 1/18) 4))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (exp.f64 (.f64 (-.f64 (log.f64 g) (log.f64 a)) 2/9)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (/.f64 g a) 1/18) 4))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (exp.f64 (.f64 (-.f64 (log.f64 g) (log.f64 a)) 2/9)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (/.f64 g a) 1/18) 4))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (exp.f64 (.f64 (-.f64 (log.f64 g) (log.f64 a)) 2/9)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (/.f64 g a) 1/18) 4))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (exp.f64 (.f64 (-.f64 (log.f64 g) (log.f64 a)) 2/9)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (/.f64 g a) 1/18) 4))
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(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (pow.f64 (/.f64 (neg.f64 g) a) 1/18) 4))
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(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 2)) (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)) -2/9)))
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(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 2)) (exp.f64 (.f64 (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g))) 2/9)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 2)) (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)) -2/9)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (pow.f64 (/.f64 (neg.f64 g) a) 1/18) 4))
(.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (.f64 -1 (log.f64 a))))) 2) (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (exp.f64 (.f64 (-.f64 (log.f64 g) (log.f64 a)) 2/9)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (/.f64 g a) 1/18) 4))
(.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (.f64 -1 (log.f64 a))))) 2) (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (exp.f64 (.f64 (-.f64 (log.f64 g) (log.f64 a)) 2/9)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (/.f64 g a) 1/18) 4))
(.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (.f64 -1 (log.f64 a))))) 2) (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (exp.f64 (.f64 (-.f64 (log.f64 g) (log.f64 a)) 2/9)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (/.f64 g a) 1/18) 4))
(.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (.f64 -1 (log.f64 a))))) 2) (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (exp.f64 (.f64 (-.f64 (log.f64 g) (log.f64 a)) 2/9)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (/.f64 g a) 1/18) 4))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (exp.f64 (.f64 (-.f64 (log.f64 g) (log.f64 a)) 2/9)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (/.f64 g a) 1/18) 4))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (exp.f64 (.f64 (-.f64 (log.f64 g) (log.f64 a)) 2/9)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (/.f64 g a) 1/18) 4))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (exp.f64 (.f64 (-.f64 (log.f64 g) (log.f64 a)) 2/9)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (/.f64 g a) 1/18) 4))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (exp.f64 (.f64 (-.f64 (log.f64 g) (log.f64 a)) 2/9)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (/.f64 g a) 1/18) 4))
(.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) 2) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) 1) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 2)) (exp.f64 (.f64 (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g))) 2/9)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 2)) (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)) -2/9)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (pow.f64 (/.f64 (neg.f64 g) a) 1/18) 4))
(.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) 2) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) 1) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 2)) (exp.f64 (.f64 (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g))) 2/9)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 2)) (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)) -2/9)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (pow.f64 (/.f64 (neg.f64 g) a) 1/18) 4))
(.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) 2) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) 1) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 2)) (exp.f64 (.f64 (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g))) 2/9)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 2)) (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)) -2/9)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (pow.f64 (/.f64 (neg.f64 g) a) 1/18) 4))
(.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) 2) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) 1) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 2)) (exp.f64 (.f64 (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g))) 2/9)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 2)) (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)) -2/9)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (pow.f64 (/.f64 (neg.f64 g) a) 1/18) 4))

eval194.0ms (4.3%)

Compiler: Compiled 6810 to 4780 computations (29.8% saved)

prune93.0ms (2.1%)

Pruning

31 alts after pruning (26 fresh and 5 done)

	Pruned	Kept	Total
New	405	25	430
Fresh	3	1	4
Picked	1	0	1
Done	0	5	5
Total	409	31	440

Error

0.0b

Counts

440 → 31

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.8b	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
✓	14.9b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
	14.5b	(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 g (*.f64 2 a))) -1))
	0.8b	(.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (.f64 g 1/2)))
	15.2b	(*.f64 (pow.f64 (cbrt.f64 2) -1) (pow.f64 (cbrt.f64 (/.f64 a g)) -1))
▶	1.2b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
	1.5b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3)))
	1.2b	(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 2 a)) 2))) (/.f64 (cbrt.f64 g) (cbrt.f64 (cbrt.f64 (*.f64 2 a)))))
	1.2b	(/.f64 1 (/.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 2)) (cbrt.f64 g)))
	40.2b	(pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (/.f64 a 1/2)))) 2)
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 a))))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
	15.1b	(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (/.f64 a 1/2)))) 3)
▶	1.6b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 3))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	1.5b	(*.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 3))
▶	0.9b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
✓	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
	0.9b	(.f64 (/.f64 1 (cbrt.f64 (.f64 2 a))) (cbrt.f64 g))
	34.7b	(*.f64 (exp.f64 (log.f64 (cbrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
	1.6b	(*.f64 (/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (/.f64 (cbrt.f64 1/2) (cbrt.f64 (cbrt.f64 a))))
▶	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	40.5b	(/.f64 1 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 2 (/.f64 a g)))) 2))
	15.5b	(/.f64 1 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (/.f64 a g)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))))))
✓	0.9b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	1.5b	(/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) 3) (cbrt.f64 g)))
	15.5b	(/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (/.f64 a g)))) 3))
	15.2b	(/.f64 1 (*.f64 (cbrt.f64 (/.f64 a g)) (cbrt.f64 2)))
	15.2b	(/.f64 1 (/.f64 (cbrt.f64 2) (/.f64 1 (cbrt.f64 (/.f64 a g)))))
	39.8b	(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) -2))
✓	14.5b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 701 to 573 computations (18.3% saved)

localize13.0ms (0.3%)

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)

series3.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

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

rewrite50.0ms (1.1%)

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	9
1	163	9
2	2015	9

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

33 → 33

Calls

Call 1

Inputs

Outputs

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	15.4b	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)

Compiler

Compiled 21 to 11 computations (47.6% saved)

series108.0ms (2.4%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
38.0ms	a	@	-inf	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
18.0ms	g	@	0	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
18.0ms	g	@	-inf	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
14.0ms	a	@	0	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
11.0ms	a	@	inf	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)

rewrite62.0ms (1.4%)

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 (1.5%)

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))))

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 24 to 14 computations (41.7% saved)

series4.0ms (0.1%)

Counts

2 → 0

Calls

9 calls:

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

rewrite61.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	181	15
2	2229	15

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

52 → 52

Calls

Call 1

Inputs

Outputs

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(cbrt.f64 g)
	0.6b	(cbrt.f64 a)
✓	1.0b	(/.f64 1 (cbrt.f64 2))
✓	1.0b	(cbrt.f64 2)

Compiler

Compiled 31 to 18 computations (41.9% saved)

series0.0ms (0%)

Counts: 2 → 0

rewrite48.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	98	9
2	1017	6

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

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

Outputs

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

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

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

80 → 80

Calls

Call 1

Inputs

Outputs

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 33 to 19 computations (42.4% saved)

series28.0ms (0.6%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	a	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 a)) 3)
10.0ms	a	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 a)) 3)
4.0ms	a	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 a)) 3)
0.0ms	a	@	-inf	(cbrt.f64 (cbrt.f64 a))
0.0ms	a	@	inf	(cbrt.f64 (cbrt.f64 a))

rewrite51.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

Outputs

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

simplify159.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

97 → 80

Calls

Call 1

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

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

eval131.0ms (2.9%)

Compiler: Compiled 5477 to 3574 computations (34.7% saved)

prune96.0ms (2.1%)

Pruning

29 alts after pruning (20 fresh and 9 done)

	Pruned	Kept	Total
New	406	12	418
Fresh	13	8	21
Picked	1	0	1
Done	0	9	9
Total	420	29	449

Error

0.0b

Counts

449 → 29

Alt Table

Click to see full alt table

Status	Error	Program
✓	41.8b	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
✓	14.9b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
	14.5b	(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 g (*.f64 2 a))) -1))
	36.4b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (pow.f64 a 1/3)))
	15.2b	(/.f64 1 (*.f64 (cbrt.f64 (/.f64 a g)) (cbrt.f64 2)))
▶	1.2b	(/.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)))
	1.6b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 2)) 3)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 a))))
	1.6b	(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (cbrt.f64 (*.f64 2 a)))
	0.9b	(*.f64 (/.f64 1 (pow.f64 4 1/6)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
	15.2b	(/.f64 1 (/.f64 (cbrt.f64 2) (/.f64 1 (cbrt.f64 (/.f64 a g)))))
	40.2b	(pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 g 1/2) a))) 2)
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	15.1b	(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 g 1/2) a))) 3)
	1.5b	(/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) 3))
	39.8b	(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) -2))
▶	0.8b	(.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (.f64 g 1/2)))
✓	0.9b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
✓	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
▶	0.9b	(.f64 (/.f64 1 (cbrt.f64 (.f64 2 a))) (cbrt.f64 g))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	40.5b	(/.f64 1 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 2 (/.f64 a g)))) 2))
	2.7b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 a))) 3) 3))
✓	0.9b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	1.2b	(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 1/2))) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
▶	15.5b	(/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (/.f64 a g)))) 3))
▶	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
✓	14.5b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 577 to 479 computations (17% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 28 to 18 computations (35.7% saved)

series4.0ms (0.1%)

Counts

2 → 0

Calls

9 calls:

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

rewrite62.0ms (1.4%)

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))))))))

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

46 → 46

Calls

Call 1

Inputs

Outputs

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 30 to 21 computations (30% saved)

series3.0ms (0.1%)

Counts

2 → 0

Calls

9 calls:

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

rewrite61.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

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

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

47 → 47

Calls

Call 1

Inputs

Outputs

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 24 to 14 computations (41.7% saved)

series3.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

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

rewrite61.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

38 → 38

Calls

Call 1

Inputs

Outputs

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 34 to 25 computations (26.5% saved)

series5.0ms (0.1%)

Counts

3 → 0

Calls

12 calls:

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

rewrite66.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

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

Outputs

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

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

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

51 → 51

Calls

Call 1

Inputs

Outputs

localize24.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (/.f64 a g)))) 3))
✓	0.5b	(cbrt.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))))
✓	0.8b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (/.f64 a g)))) 3)
	14.5b	(cbrt.f64 (*.f64 2 (/.f64 a g)))

Compiler

Compiled 48 to 29 computations (39.6% saved)

series184.0ms (4.1%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
63.0ms	a	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (/.f64 a g)))) 3)
45.0ms	g	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (/.f64 a g)))) 3)
40.0ms	g	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (/.f64 a g)))) 3)
20.0ms	a	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (/.f64 a g)))) 3)
8.0ms	a	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (/.f64 a g)))) 3)

rewrite83.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

491×	`log-prod_binary64`
372×	`exp-prod_binary64`
343×	`prod-exp_binary64`
274×	`pow-prod-down_binary64`
256×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	32
1	256	32
2	2756	32

Stop Event

1×	node limit

Counts

3 → 154

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 2 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 2 (/.f64 g a))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 2 (/.f64 g a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 2 (/.f64 g a)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 2 (/.f64 g a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 2 (/.f64 g a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 (/.f64 g a)))) (pow.f64 (pow.f64 (/.f64 2 (/.f64 g a)) 1/18) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (/.f64 g a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 2 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 2 (/.f64 g a)) 1/18) 4) (cbrt.f64 (cbrt.f64 (/.f64 2 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-3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (/.f64 g a)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/3 (log.f64 (/.f64 2 (/.f64 g a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2 (/.f64 g a))) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 2 (/.f64 g a)) -1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (*.f64 1/9 (log.f64 (/.f64 2 (/.f64 g a))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 2 (/.f64 g a)) -1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (/.f64 g a))) 1) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/9 (log.f64 (/.f64 2 (/.f64 g a)))) 1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (/.f64 g a)))) 1/3) -3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (/.f64 g a))) 1/3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (/.f64 g a)))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/9 (log.f64 (/.f64 2 (/.f64 g a)))) -3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (/.f64 g a)))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -1/3 (log.f64 (/.f64 2 (/.f64 g a)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (pow.f64 (/.f64 2 (/.f64 g a)) -1/6)) (*.f64 (*.f64 1/9 (log.f64 (/.f64 2 (/.f64 g a)))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 2 (/.f64 g a))) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (/.f64 g a)))) 1)))))))

simplify75.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	65	1152
1	183	1064
2	458	1032
3	1387	976
4	3677	880

Stop Event

1×	node limit

Counts

202 → 168

Calls

Call 1

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

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

eval275.0ms (6.1%)

Compiler: Compiled 6992 to 5006 computations (28.4% saved)

prune97.0ms (2.1%)

Pruning

31 alts after pruning (20 fresh and 11 done)

	Pruned	Kept	Total
New	530	14	544
Fresh	9	6	15
Picked	1	0	1
Done	2	11	13
Total	542	31	573

Error

Counts

573 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	15.1b	(/.f64 1 (cbrt.f64 (/.f64 2 (/.f64 g a))))
✓	41.8b	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
✓	14.9b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
	14.5b	(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
	14.5b	(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 g (*.f64 2 a))) -1))
	15.2b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 1 (cbrt.f64 (/.f64 a g))))
	15.2b	(/.f64 1 (*.f64 (cbrt.f64 (/.f64 a g)) (cbrt.f64 2)))
	0.9b	(/.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 a) (cbrt.f64 1/2)))
	1.6b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 2)) 3)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
	0.9b	(/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 g 1/2))))
	1.6b	(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))) 3))
	15.1b	(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 g 1/2) a))) 3)
	1.7b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 (cbrt.f64 2)) 3)))
	1.2b	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	1.5b	(/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) 3))
✓	0.8b	(.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (.f64 g 1/2)))
	1.5b	(.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (.f64 2 a)))) 3) (cbrt.f64 g))
✓	14.5b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
✓	0.9b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
✓	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
✓	0.9b	(.f64 (/.f64 1 (cbrt.f64 (.f64 2 a))) (cbrt.f64 g))
	15.0b	(*.f64 (/.f64 1 (cbrt.f64 2)) (cbrt.f64 (/.f64 g a)))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	2.7b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 a))) 3) 3))
✓	0.9b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	1.2b	(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 1/2))) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
✓	1.2b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
	40.2b	(pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) g))) 2)
	1.6b	(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (cbrt.f64 (*.f64 2 a)))
	0.8b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (pow.f64 4 1/6)))

Compiler

Compiled 345 to 283 computations (18% saved)

regimes341.0ms (7.5%)

Counts

61 → 1

Calls

Call 1

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

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

Calls

8 calls:

62.0ms	g
56.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))
38.0ms	a
35.0ms	(*.f64 2 a)
35.0ms	(*.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 668 to 449 computations (32.8% saved)

regimes27.0ms (0.6%)

Accuracy

Total -27.4b remaining (-189.7%)

Threshold costs -27.4b (-189.7%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Error	Segments	Branch
14.5b	1	`g`
14.5b	1	`a`
14.5b	1	`(cbrt.f64 (/.f64 g (*.f64 2 a)))`
14.5b	1	`(/.f64 g (*.f64 2 a))`
14.5b	1	`(*.f64 2 a)`

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	17	29

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 25 to 19 computations (24% saved)

soundness0.0ms (0%)

end43.0ms (1%)

Compiler: Compiled 21 to 15 computations (28.6% saved)