Details

analyze42.0ms (1.1%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample816.0ms (21.3%)

Results

803.0ms

8256×

body

256

valid

Bogosity

preprocess19.0ms (0.5%)

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

16.2b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.2b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 8 to 6 computations (25% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	15.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
✓	15.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series5.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

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

rewrite58.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

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

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

Outputs

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

27 → 27

Calls

Call 1

Inputs

Outputs

eval6.0ms (0.2%)

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

prune11.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	20	7	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	8	28

Error

0.2b

Counts

28 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.7b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
▶	16.1b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
✓	16.2b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
▶	0.8b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
	17.0b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 3)
▶	1.1b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
▶	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))

Compiler

Compiled 148 to 118 computations (20.3% saved)

localize11.0ms (0.3%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

series9.0ms (0.2%)

Counts

3 → 0

Calls

12 calls:

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

rewrite65.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

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

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

Outputs

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

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

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

71 → 71

Calls

Call 1

Inputs

Outputs

localize12.0ms (0.3%)

Local error

Found 6 expressions with local error:

New	Error	Program
	15.7b	(cbrt.f64 (*.f64 2 (/.f64 a g)))
	0.3b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
	0.0b	(*.f64 2 (/.f64 a g))
✓	0.0b	(*.f64 2 (/.f64 a g))
✓	0.3b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
✓	15.7b	(cbrt.f64 (*.f64 2 (/.f64 a g)))

Compiler

Compiled 28 to 15 computations (46.4% saved)

series11.0ms (0.3%)

Counts

3 → 0

Calls

18 calls:

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

rewrite75.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

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

Outputs

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

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

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

69 → 69

Calls

Call 1

Inputs

Outputs

localize12.0ms (0.3%)

Local error

Found 6 expressions with local error:

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

rewrite67.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

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

Outputs

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

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

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

72 → 72

Calls

Call 1

Inputs

Outputs

localize12.0ms (0.3%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.8b	(cbrt.f64 (/.f64 1/2 a))
	0.6b	(cbrt.f64 g)
	0.4b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
✓	0.4b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	0.6b	(cbrt.f64 g)
✓	0.8b	(cbrt.f64 (/.f64 1/2 a))

Compiler

Compiled 21 to 13 computations (38.1% saved)

series4.0ms (0.1%)

Counts

2 → 0

Calls

9 calls:

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

rewrite65.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

Outputs

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

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

39 → 39

Calls

Call 1

Inputs

Outputs

localize17.0ms (0.4%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 30 to 21 computations (30% saved)

series4.0ms (0.1%)

Counts

2 → 0

Calls

9 calls:

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

rewrite65.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

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

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

47 → 47

Calls

Call 1

Inputs

Outputs

eval99.0ms (2.6%)

Compiler: Compiled 4027 to 2775 computations (31.1% saved)

prune73.0ms (1.9%)

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	331	23	354
Fresh	2	0	2
Picked	0	1	1
Done	1	4	5
Total	334	28	362

Error

0.0b

Counts

362 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	0.9b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
✓	0.7b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	31.1b	(.f64 (cbrt.f64 g) (/.f64 1 (.f64 (cbrt.f64 (cbrt.f64 (.f64 4 (.f64 a a)))) (cbrt.f64 (cbrt.f64 (*.f64 2 a))))))
	16.4b	(/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 a g))))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 a))))
	1.5b	(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 3) (cbrt.f64 a))
	18.9b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (expm1.f64 (log1p.f64 (cbrt.f64 a))))
	16.1b	(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
▶	1.1b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
	16.8b	(/.f64 1 (cbrt.f64 (/.f64 2 (/.f64 g a))))
	1.8b	(*.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 3))
✓	0.8b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
▶	1.5b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 3))
▶	16.2b	(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
	1.2b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
	1.2b	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))
	4.7b	(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 g) 2) 1/3) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
	1.2b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 2) (cbrt.f64 a)))
✓	1.1b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	0.9b	(.f64 (cbrt.f64 (.f64 g 1/2)) (/.f64 1 (cbrt.f64 a)))
	1.5b	(/.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 g 1/2))) 2) (cbrt.f64 (cbrt.f64 (*.f64 g 1/2)))) (cbrt.f64 a))
	16.2b	(/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) 3)))
▶	0.9b	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
✓	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
▶	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
✓	16.2b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	1.5b	(.f64 (cbrt.f64 g) (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 2 a)))) 3))
	1.9b	(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (cbrt.f64 (/.f64 1/2 a)))

Compiler

Compiled 602 to 490 computations (18.6% saved)

localize16.0ms (0.4%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 31 to 20 computations (35.5% saved)

series7.0ms (0.2%)

Counts

2 → 0

Calls

12 calls:

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

rewrite66.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

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

Outputs

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

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

75 → 75

Calls

Call 1

Inputs

Outputs

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	15.8b	(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
	0.2b	(*.f64 (/.f64 1/2 a) g)
✓	0.2b	(*.f64 (/.f64 1/2 a) g)
✓	15.8b	(cbrt.f64 (*.f64 (/.f64 1/2 a) g))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite59.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

Outputs

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

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

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

68 → 45

Calls

Call 1

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

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

localize15.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.6b	(cbrt.f64 a)
	0.6b	(cbrt.f64 g)
	0.4b	(/.f64 (cbrt.f64 1/2) (cbrt.f64 a))
	0.4b	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
✓	0.4b	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
✓	0.4b	(/.f64 (cbrt.f64 1/2) (cbrt.f64 a))
	0.6b	(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	a	@	0	(/.f64 (cbrt.f64 1/2) (cbrt.f64 a))
0.0ms	a	@	-inf	(/.f64 (cbrt.f64 1/2) (cbrt.f64 a))
0.0ms	a	@	-inf	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
0.0ms	g	@	-inf	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
0.0ms	g	@	0	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))

rewrite67.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

860×	`pow1_binary64`
800×	`add-log-exp_binary64`
800×	`log1p-expm1-u_binary64`
800×	`expm1-log1p-u_binary64`
778×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	181	15
2	2178	15

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

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

52 → 52

Calls

Call 1

Inputs

Outputs

localize19.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.8b	(cbrt.f64 (/.f64 1 a))
	0.6b	(cbrt.f64 g)
	0.4b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a)))
	0.4b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
✓	0.4b	(.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)))
	0.6b	(cbrt.f64 g)
✓	0.8b	(cbrt.f64 (/.f64 1 a))

Compiler

Compiled 34 to 25 computations (26.5% saved)

series9.0ms (0.2%)

Counts

3 → 0

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	a	@	-inf	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
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	@	0	(cbrt.f64 (/.f64 1 a))
0.0ms	a	@	inf	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a)))

rewrite70.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

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

Outputs

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

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

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

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

51 → 51

Calls

Call 1

Inputs

Outputs

localize17.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.6b	(cbrt.f64 a)
	0.6b	(cbrt.f64 (cbrt.f64 a))
	0.6b	(cbrt.f64 (*.f64 g 1/2))
	0.4b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 3))
	0.6b	(cbrt.f64 (*.f64 g 1/2))
✓	0.6b	(cbrt.f64 (cbrt.f64 a))
	0.6b	(cbrt.f64 a)
✓	0.8b	(pow.f64 (cbrt.f64 (cbrt.f64 a)) 3)

Compiler

Compiled 33 to 19 computations (42.4% saved)

series51.0ms (1.3%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
25.0ms	a	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 a)) 3)
18.0ms	a	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 a)) 3)
6.0ms	a	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 a)) 3)
0.0ms	a	@	-inf	(cbrt.f64 (cbrt.f64 a))
0.0ms	a	@	0	(cbrt.f64 (cbrt.f64 a))

rewrite54.0ms (1.4%)

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)))))))

simplify165.0ms (4.3%)

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)))

eval165.0ms (4.3%)

Compiler: Compiled 5456 to 3685 computations (32.5% saved)

prune84.0ms (2.2%)

Pruning

32 alts after pruning (23 fresh and 9 done)

	Pruned	Kept	Total
New	423	10	433
Fresh	5	13	18
Picked	0	1	1
Done	1	8	9
Total	429	32	461

Error

0.0b

Counts

461 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	0.9b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
✓	0.7b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	31.1b	(.f64 (cbrt.f64 g) (/.f64 1 (.f64 (cbrt.f64 (cbrt.f64 (.f64 4 (.f64 a a)))) (cbrt.f64 (cbrt.f64 (*.f64 2 a))))))
▶	16.4b	(/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 a g))))
▶	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 a))))
▶	1.5b	(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 3) (cbrt.f64 a))
	16.1b	(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
	1.2b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
✓	1.1b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
	16.8b	(/.f64 1 (cbrt.f64 (/.f64 2 (/.f64 g a))))
	1.5b	(/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) 3) (cbrt.f64 g)))
	1.1b	(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 2 a)) 2))) (/.f64 (cbrt.f64 g) (cbrt.f64 (cbrt.f64 (*.f64 2 a)))))
▶	0.8b	(/.f64 1 (.f64 (cbrt.f64 (.f64 2 a)) (/.f64 1 (cbrt.f64 g))))
✓	1.5b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 3))
	18.9b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (expm1.f64 (log1p.f64 (cbrt.f64 a))))
✓	0.8b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
✓	16.2b	(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
✓	1.1b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	16.4b	(cbrt.f64 (/.f64 (/.f64 (*.f64 1/2 g) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a)))
	1.2b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 2) (cbrt.f64 a)))
	0.9b	(/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 g 1/2))))
	0.9b	(.f64 (cbrt.f64 (.f64 g 1/2)) (/.f64 1 (cbrt.f64 a)))
	1.5b	(/.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 g 1/2))) 2) (cbrt.f64 (cbrt.f64 (*.f64 g 1/2)))) (cbrt.f64 a))
	16.2b	(/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) 3)))
✓	0.9b	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
✓	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
▶	16.6b	(cbrt.f64 (/.f64 1/2 (/.f64 a g)))
	1.2b	(/.f64 1 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 a) (/.f64 1 (cbrt.f64 g)))))
	1.0b	(.f64 (cbrt.f64 g) (.f64 (pow.f64 1/2 1/6) (*.f64 (pow.f64 1/2 1/6) (/.f64 1 (cbrt.f64 a)))))
✓	16.2b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	1.2b	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))
	1.9b	(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (cbrt.f64 (/.f64 1/2 a)))

Compiler

Compiled 674 to 552 computations (18.1% saved)

localize19.0ms (0.5%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

series6.0ms (0.2%)

Counts

2 → 0

Calls

9 calls:

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

rewrite65.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

840×	`pow1_binary64`
778×	`add-log-exp_binary64`
778×	`log1p-expm1-u_binary64`
778×	`expm1-log1p-u_binary64`
759×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	197	15
2	2236	15

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

46 → 46

Calls

Call 1

Inputs

Outputs

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	15.8b	(cbrt.f64 (/.f64 1/2 (/.f64 a g)))
	0.5b	(/.f64 1/2 (/.f64 a g))
✓	0.5b	(/.f64 1/2 (/.f64 a g))
✓	15.8b	(cbrt.f64 (/.f64 1/2 (/.f64 a g)))

Compiler

Compiled 19 to 9 computations (52.6% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite68.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify12.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

81 → 57

Calls

Call 1

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

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

localize14.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	15.7b	(cbrt.f64 (/.f64 a g))
	1.0b	(cbrt.f64 2)
	0.3b	(/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 a g))))
	0.3b	(*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 a g)))
✓	0.3b	(*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 a g)))
✓	0.3b	(/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 a g))))
✓	1.0b	(cbrt.f64 2)
✓	15.7b	(cbrt.f64 (/.f64 a g))

Compiler

Compiled 31 to 16 computations (48.4% saved)

series8.0ms (0.2%)

Counts

4 → 0

Calls

18 calls:

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

rewrite81.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

941×	`pow1_binary64`
874×	`add-log-exp_binary64`
874×	`log1p-expm1-u_binary64`
874×	`expm1-log1p-u_binary64`
852×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	204	30
2	2450	30

Stop Event

1×	node limit

Counts

4 → 85

Calls

Call 1

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

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

85 → 85

Calls

Call 1

Inputs

Outputs

localize17.0ms (0.4%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 33 to 21 computations (36.4% saved)

series5.0ms (0.1%)

Counts

2 → 0

Calls

9 calls:

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

rewrite65.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

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

Outputs

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

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

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

40 → 40

Calls

Call 1

Inputs

Outputs

localize20.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.6b	(cbrt.f64 a)
	0.6b	(cbrt.f64 (*.f64 g 1/2))
	0.6b	(cbrt.f64 (cbrt.f64 (*.f64 g 1/2)))
	0.4b	(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 3) (cbrt.f64 a))
✓	0.6b	(cbrt.f64 (cbrt.f64 (*.f64 g 1/2)))
	0.6b	(cbrt.f64 (*.f64 g 1/2))
	0.6b	(cbrt.f64 a)
✓	0.8b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 3)

Compiler

Compiled 37 to 27 computations (27% saved)

series28.0ms (0.7%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	g	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 3)
11.0ms	g	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 3)
4.0ms	g	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 3)
0.0ms	g	@	0	(cbrt.f64 (cbrt.f64 (*.f64 g 1/2)))
0.0ms	g	@	-inf	(cbrt.f64 (cbrt.f64 (*.f64 g 1/2)))

rewrite57.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

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

Outputs

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

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

simplify203.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

69 → 52

Calls

Call 1

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

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

eval123.0ms (3.2%)

Compiler: Compiled 4927 to 3446 computations (30.1% saved)

prune125.0ms (3.3%)

Pruning

32 alts after pruning (18 fresh and 14 done)

	Pruned	Kept	Total
New	383	9	392
Fresh	9	9	18
Picked	0	1	1
Done	0	13	13
Total	392	32	424

Error

0.0b

Counts

424 → 32

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.6b	(cbrt.f64 (/.f64 1/2 (/.f64 a g)))
	0.9b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
	16.1b	(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
	31.1b	(.f64 (cbrt.f64 g) (/.f64 1 (.f64 (cbrt.f64 (cbrt.f64 (.f64 4 (.f64 a a)))) (cbrt.f64 (cbrt.f64 (*.f64 2 a))))))
✓	16.4b	(/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 a g))))
✓	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 a))))
✓	1.5b	(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 3) (cbrt.f64 a))
	1.2b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
✓	1.1b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
	16.8b	(/.f64 1 (cbrt.f64 (/.f64 2 (/.f64 g a))))
	1.5b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g))) 3) (cbrt.f64 a))
	16.5b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
✓	0.8b	(/.f64 1 (.f64 (cbrt.f64 (.f64 2 a)) (/.f64 1 (cbrt.f64 g))))
✓	1.5b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 3))
	18.9b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (expm1.f64 (log1p.f64 (cbrt.f64 a))))
✓	0.8b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
✓	16.2b	(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
✓	1.1b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	16.2b	(/.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 a g)))
	1.2b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 2) (cbrt.f64 a)))
	0.9b	(/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 g 1/2))))
	0.9b	(.f64 (cbrt.f64 (.f64 g 1/2)) (/.f64 1 (cbrt.f64 a)))
	1.5b	(/.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 g 1/2))) 2) (cbrt.f64 (cbrt.f64 (*.f64 g 1/2)))) (cbrt.f64 a))
	1.0b	(/.f64 1 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 a) (cbrt.f64 (/.f64 1 g)))))
✓	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
✓	0.9b	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
✓	0.7b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	36.8b	(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 g 1/2)) 1/3) 3) (cbrt.f64 a))
✓	16.2b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	16.2b	(*.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 (/.f64 a g))))
	1.2b	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))
	16.2b	(/.f64 1 (/.f64 (cbrt.f64 (/.f64 a g)) (cbrt.f64 1/2)))

Compiler

Compiled 357 to 290 computations (18.8% saved)

regimes151.0ms (3.9%)

Counts

50 → 1

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 1/2 (/.f64 a g)))
(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
(cbrt.f64 (/.f64 g (*.f64 2 a)))
(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
(/.f64 1 (cbrt.f64 (/.f64 2 (/.f64 g a))))
(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
(/.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 a g)))
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
(*.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 (/.f64 a g))))
(/.f64 1 (/.f64 (cbrt.f64 (/.f64 a g)) (cbrt.f64 1/2)))
(/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 g 1/2))))
(/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 a g))))
(.f64 (cbrt.f64 (.f64 g 1/2)) (/.f64 1 (cbrt.f64 a)))
(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
(/.f64 1 (.f64 (cbrt.f64 (.f64 2 a)) (/.f64 1 (cbrt.f64 g))))
(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))
(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 2) (cbrt.f64 a)))
(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 3)
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 a))))
(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
(/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) 3)))
(/.f64 1 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 a) (cbrt.f64 (/.f64 1 g)))))
(/.f64 1 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 a) (/.f64 1 (cbrt.f64 g)))))
(/.f64 (cbrt.f64 (*.f64 g 1/2)) (expm1.f64 (log1p.f64 (cbrt.f64 a))))
(/.f64 (cbrt.f64 (*.f64 g 1/2)) (expm1.f64 (log1p.f64 (cbrt.f64 a))))
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 3) (cbrt.f64 a))
(*.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 3))
(/.f64 (cbrt.f64 (*.f64 g 1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (cbrt.f64 (/.f64 1/2 a)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 g 1/2)) 1/3) 3) (cbrt.f64 a))
(/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) 3) (cbrt.f64 g)))
(cbrt.f64 (/.f64 (/.f64 (*.f64 1/2 g) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a)))
(.f64 (cbrt.f64 g) (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 2 a)))) 3))
(.f64 (cbrt.f64 g) (.f64 (pow.f64 1/2 1/6) (*.f64 (pow.f64 1/2 1/6) (/.f64 1 (cbrt.f64 a)))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g))) 3) (cbrt.f64 a))
(.f64 (cbrt.f64 g) (/.f64 1 (.f64 (cbrt.f64 (cbrt.f64 (.f64 4 (.f64 a a)))) (cbrt.f64 (cbrt.f64 (*.f64 2 a))))))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 g) 2) 1/3) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 g 1/2))) 2) (cbrt.f64 (cbrt.f64 (*.f64 g 1/2)))) (cbrt.f64 a))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 2 a)) 2))) (/.f64 (cbrt.f64 g) (cbrt.f64 (cbrt.f64 (*.f64 2 a)))))

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

Calls

5 calls:

33.0ms	(*.f64 2 a)
31.0ms	g
24.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))
24.0ms	a
20.0ms	(/.f64 g (*.f64 2 a))

Results

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

Compiler

Compiled 518 to 343 computations (33.8% saved)

regimes56.0ms (1.5%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

12.0ms	(*.f64 2 a)
11.0ms	g
10.0ms	a
9.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))
9.0ms	(/.f64 g (*.f64 2 a))

Results

Error	Segments	Branch
16.1b	1	`g`
16.1b	1	`a`
16.1b	1	`(cbrt.f64 (/.f64 g (*.f64 2 a)))`
16.1b	1	`(/.f64 g (*.f64 2 a))`
16.1b	1	`(*.f64 2 a)`

Compiler

Compiled 92 to 64 computations (30.4% saved)

regimes41.0ms (1.1%)

Accuracy

Total -0.5b remaining (-2.8%)

Threshold costs -0.5b (-2.8%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Error	Segments	Branch
16.2b	1	`g`
16.2b	1	`a`
16.2b	1	`(cbrt.f64 (/.f64 g (*.f64 2 a)))`
16.2b	1	`(/.f64 g (*.f64 2 a))`
16.2b	1	`(*.f64 2 a)`

Compiler

Compiled 46 to 33 computations (28.3% saved)

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	41
1	23	41

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 35 to 27 computations (22.9% saved)

soundness0.0ms (0%)

end63.0ms (1.6%)

Compiler: Compiled 29 to 21 computations (27.6% saved)