Details

analyze48.0ms (1.2%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample792.0ms (19.5%)

Results

779.0ms

8256×

body

256

valid

preprocess21.0ms (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

14.8b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 8 to 6 computations (25% saved)

localize11.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

series5.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

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

rewrite52.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

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

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

Outputs

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

27 → 27

Calls

Call 1

Inputs

Outputs

eval7.0ms (0.2%)

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

prune10.0ms (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

0.1b

Counts

28 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
▶	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
▶	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
▶	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
▶	14.5b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
	15.4b	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 g a)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))
	15.4b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 3)
▶	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))

Compiler

Compiled 164 to 128 computations (22% saved)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

series6.0ms (0.1%)

Counts

3 → 0

Calls

12 calls:

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

rewrite63.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 57

Calls

Call 1

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

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

Outputs

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

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

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

57 → 57

Calls

Call 1

Inputs

Outputs

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 2 (/.f64 a g))
✓	0.3b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
✓	14.2b	(cbrt.f64 (*.f64 2 (/.f64 a g)))

Compiler

Compiled 28 to 15 computations (46.4% saved)

series13.0ms (0.3%)

Counts

3 → 0

Calls

18 calls:

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

rewrite70.0ms (1.7%)

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

localize15.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

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

rewrite58.0ms (1.4%)

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	15
1	163	15
2	2015	15

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

53 → 53

Calls

Call 1

Inputs

Outputs

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

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	g	@	0	(cbrt.f64 (*.f64 g 1/2))
0.0ms	a	@	inf	(cbrt.f64 a)
0.0ms	a	@	0	(cbrt.f64 a)

rewrite62.0ms (1.5%)

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

Outputs

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

72 → 72

Calls

Call 1

Inputs

Outputs

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 31 to 20 computations (35.5% saved)

series6.0ms (0.1%)

Counts

2 → 0

Calls

12 calls:

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

rewrite68.0ms (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

eval107.0ms (2.6%)

Compiler: Compiled 4502 to 3083 computations (31.5% saved)

prune75.0ms (1.8%)

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	363	19	382
Fresh	2	0	2
Picked	0	1	1
Done	1	4	5
Total	366	24	390

Error

0.0b

Counts

390 → 24

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	1.2b	(/.f64 1 (*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 a) (cbrt.f64 g))))
✓	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
▶	0.8b	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
	18.3b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (expm1.f64 (log1p.f64 (cbrt.f64 a))))
	0.8b	(/.f64 1 (.f64 (/.f64 1 (cbrt.f64 g)) (cbrt.f64 (.f64 2 a))))
▶	42.1b	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
	0.8b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
	14.5b	(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
▶	0.8b	(.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (.f64 g 1/2)))
	1.2b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
	14.9b	(/.f64 1 (cbrt.f64 (/.f64 2 (/.f64 g a))))
	14.8b	(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 g (*.f64 2 a))) -1))
✓	14.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	40.5b	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) -1/2) 2)
✓	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
	1.5b	(/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) 3))
	42.1b	(pow.f64 (/.f64 g (*.f64 a 2)) 1/3)
	14.8b	(/.f64 1 (*.f64 (cbrt.f64 (/.f64 a g)) (cbrt.f64 2)))
▶	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 a))))
	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
	1.5b	(*.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 3))
▶	46.4b	(/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (.f64 4 (.f64 a a)))))

Compiler

Compiled 470 to 382 computations (18.7% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series3.0ms (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 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	g	@	-inf	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 a))))

rewrite65.0ms (1.6%)

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))))))))

simplify14.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

40 → 40

Calls

Call 1

Inputs

Outputs

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 2 (/.f64 a g))
✓	14.8b	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)

Compiler

Compiled 21 to 11 computations (47.6% saved)

series118.0ms (2.9%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
37.0ms	g	@	-inf	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
25.0ms	a	@	0	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
24.0ms	a	@	-inf	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
17.0ms	g	@	0	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
8.0ms	g	@	inf	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)

rewrite61.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

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

simplify67.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

41 → 24

Calls

Call 1

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

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

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 28 to 18 computations (35.7% saved)

series4.0ms (0.1%)

Counts

2 → 0

Calls

9 calls:

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

rewrite72.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

46 → 46

Calls

Call 1

Inputs

Outputs

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.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)

series3.0ms (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	@	-inf	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))

rewrite64.0ms (1.6%)

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))))))))

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

52 → 52

Calls

Call 1

Inputs

Outputs

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(sqrt.f64 (cbrt.f64 (.f64 4 (.f64 a a))))
✓	0.3b	(/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (.f64 4 (.f64 a a)))))
	0.6b	(cbrt.f64 g)
✓	29.8b	(cbrt.f64 (.f64 4 (.f64 a a)))

Compiler

Compiled 38 to 19 computations (50% saved)

series69.0ms (1.7%)

Counts

3 → 0

Calls

12 calls:

Time	Variable		Point	Expression
31.0ms	g	@	0	(/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (.f64 4 (.f64 a a)))))
18.0ms	a	@	0	(/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (.f64 4 (.f64 a a)))))
15.0ms	a	@	0	(sqrt.f64 (cbrt.f64 (.f64 4 (.f64 a a))))
1.0ms	g	@	-inf	(/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (.f64 4 (.f64 a a)))))
1.0ms	a	@	0	(cbrt.f64 (.f64 4 (.f64 a a)))

rewrite83.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

911×	`pow1_binary64`
849×	`add-log-exp_binary64`
849×	`log1p-expm1-u_binary64`
849×	`expm1-log1p-u_binary64`
825×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	203	24
2	2406	24

Stop Event

1×	node limit

Counts

3 → 80

Calls

Call 1

Inputs
(cbrt.f64 (.f64 4 (.f64 a a)))
(/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (.f64 4 (.f64 a a)))))
(sqrt.f64 (cbrt.f64 (.f64 4 (.f64 a a))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 4 (*.f64 a a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4 (*.f64 a a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a 2)) (cbrt.f64 (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 4 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 4) (pow.f64 (cbrt.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))) (cbrt.f64 (cbrt.f64 (*.f64 16 (pow.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 a 2))) (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 16 (pow.f64 a 4)))) (cbrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 a 2))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 a 2))) (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 a 2)) (sqrt.f64 (cbrt.f64 (*.f64 a 2)))) (sqrt.f64 (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4 a)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 4 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 16 (pow.f64 a 4))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 4 a) 1/3) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 a 2)) (cbrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a))))) (cbrt.f64 (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (*.f64 a a)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (*.f64 a a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 16 (pow.f64 a 4))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 16 (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))))))))

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 a 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 a 2))) (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 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 a 2))) (sqrt.f64 (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 16 (pow.f64 a 4))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 4)) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (cbrt.f64 (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 4) 1/2) (pow.f64 (pow.f64 (cbrt.f64 a) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 16 (pow.f64 a 4)))) 1/2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (*.f64 a a)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (*.f64 a a))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 a 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 a 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 a 2))))))))

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

80 → 80

Calls

Call 1

Inputs

Outputs

eval138.0ms (3.4%)

Compiler: Compiled 4619 to 3086 computations (33.2% saved)

prune129.0ms (3.2%)

Pruning

26 alts after pruning (18 fresh and 8 done)

	Pruned	Kept	Total
New	383	7	390
Fresh	3	11	14
Picked	1	0	1
Done	1	8	9
Total	388	26	414

Error

0.0b

Counts

414 → 26

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	1.2b	(/.f64 1 (*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 a) (cbrt.f64 g))))
	0.8b	(.f64 (/.f64 1 (cbrt.f64 a)) (.f64 (cbrt.f64 g) (cbrt.f64 1/2)))
✓	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
✓	0.8b	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
	18.3b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (expm1.f64 (log1p.f64 (cbrt.f64 a))))
	15.0b	(cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 a)) 3) g))
	0.8b	(/.f64 1 (.f64 (/.f64 1 (cbrt.f64 g)) (cbrt.f64 (.f64 2 a))))
✓	42.1b	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
	0.8b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
	29.6b	(.f64 (-.f64 (+.f64 1 (/.f64 1 (cbrt.f64 a))) 1) (cbrt.f64 (.f64 g 1/2)))
	14.5b	(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
✓	0.8b	(.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (.f64 g 1/2)))
	31.5b	(.f64 (pow.f64 (pow.f64 (cbrt.f64 a) -1/2) 2) (cbrt.f64 (.f64 g 1/2)))
	1.2b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
	14.9b	(/.f64 1 (cbrt.f64 (/.f64 2 (/.f64 g a))))
▶	0.8b	(/.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 a) (cbrt.f64 1/2)))
	1.5b	(/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a 2))) 3))
▶	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
▶	14.8b	(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
✓	14.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
▶	40.5b	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) -1/2) 2)
✓	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
▶	14.8b	(/.f64 1 (*.f64 (cbrt.f64 (/.f64 a g)) (cbrt.f64 2)))
	42.1b	(pow.f64 (/.f64 g (*.f64 a 2)) 1/3)

Compiler

Compiled 482 to 394 computations (18.3% saved)

localize29.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 34 to 25 computations (26.5% saved)

series5.0ms (0.1%)

Counts

3 → 0

Calls

12 calls:

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

rewrite74.0ms (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

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 1/2 a) g)
✓	14.5b	(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	g	@	0	(*.f64 (/.f64 1/2 a) g)
1.0ms	a	@	0	(*.f64 (/.f64 1/2 a) g)
1.0ms	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))))))))

simplify14.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

68 → 45

Calls

Call 1

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

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

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (*.f64 (cbrt.f64 (/.f64 a g)) (cbrt.f64 2)))
✓	0.3b	(*.f64 (cbrt.f64 (/.f64 a g)) (cbrt.f64 2))
✓	1.0b	(cbrt.f64 2)
✓	14.2b	(cbrt.f64 (/.f64 a g))

Compiler

Compiled 31 to 16 computations (48.4% saved)

series9.0ms (0.2%)

Counts

4 → 0

Calls

18 calls:

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

rewrite89.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 84

Calls

Call 1

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

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

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

84 → 84

Calls

Call 1

Inputs

Outputs

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 a) (cbrt.f64 1/2)))
✓	0.5b	(/.f64 (cbrt.f64 a) (cbrt.f64 1/2))
	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
1.0ms	a	@	0	(/.f64 (cbrt.f64 a) (cbrt.f64 1/2))
1.0ms	a	@	-inf	(/.f64 (cbrt.f64 a) (cbrt.f64 1/2))
1.0ms	a	@	inf	(/.f64 (cbrt.f64 a) (cbrt.f64 1/2))
0.0ms	g	@	-inf	(/.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 a) (cbrt.f64 1/2)))
0.0ms	a	@	-inf	(/.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 a) (cbrt.f64 1/2)))

rewrite69.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

958×	`pow1_binary64`
895×	`add-log-exp_binary64`
895×	`log1p-expm1-u_binary64`
895×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	187	15
2	2419	15

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

Outputs

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

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

73 → 73

Calls

Call 1

Inputs

Outputs

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 2 (/.f64 a g))
✓	0.0b	(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) -1/2)
✓	0.3b	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) -1/2) 2)
	14.2b	(cbrt.f64 (*.f64 2 (/.f64 a g)))

Compiler

Compiled 38 to 22 computations (42.1% saved)

series21.0ms (0.5%)

Counts

2 → 0

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	g	@	0	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) -1/2) 2)
3.0ms	g	@	inf	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) -1/2) 2)
3.0ms	a	@	0	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) -1/2) 2)
2.0ms	a	@	-inf	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) -1/2) 2)
2.0ms	g	@	-inf	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) -1/2) 2)

rewrite87.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

473×	`log-prod_binary64`
365×	`exp-prod_binary64`
298×	`prod-exp_binary64`
252×	`pow-prod-down_binary64`
252×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	218	22
2	2557	22

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

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

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

51 → 51

Calls

Call 1

Inputs

Outputs

eval183.0ms (4.5%)

Compiler: Compiled 4827 to 3367 computations (30.2% saved)

prune126.0ms (3.1%)

Pruning

28 alts after pruning (17 fresh and 11 done)

	Pruned	Kept	Total
New	397	8	405
Fresh	4	9	13
Picked	1	0	1
Done	1	11	12
Total	403	28	431

Error

0.0b

Counts

431 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	0.8b	(.f64 (/.f64 1 (cbrt.f64 a)) (.f64 (cbrt.f64 g) (cbrt.f64 1/2)))
✓	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
✓	0.8b	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
	18.3b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (expm1.f64 (log1p.f64 (cbrt.f64 a))))
	14.5b	(/.f64 1 (*.f64 (cbrt.f64 (/.f64 a g)) (pow.f64 2 1/3)))
	0.8b	(/.f64 1 (.f64 (/.f64 1 (cbrt.f64 g)) (cbrt.f64 (.f64 2 a))))
	14.9b	(*.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 1/2))
✓	42.1b	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
	0.8b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
	1.0b	(/.f64 (cbrt.f64 g) (*.f64 (/.f64 1 (cbrt.f64 1/2)) (cbrt.f64 a)))
	14.5b	(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
	1.2b	(/.f64 1 (*.f64 (/.f64 (cbrt.f64 a) (cbrt.f64 g)) (cbrt.f64 2)))
✓	0.8b	(.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (.f64 g 1/2)))
	1.2b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
	14.9b	(/.f64 1 (cbrt.f64 (/.f64 2 (/.f64 g a))))
	15.2b	(/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 (/.f64 g a))) (cbrt.f64 2)))
✓	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
✓	14.8b	(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
✓	14.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	14.8b	(*.f64 (/.f64 1 (cbrt.f64 (/.f64 a g))) (/.f64 1 (cbrt.f64 2)))
	14.9b	(cbrt.f64 (/.f64 1/2 (/.f64 a g)))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
✓	14.8b	(/.f64 1 (*.f64 (cbrt.f64 (/.f64 a g)) (cbrt.f64 2)))
	0.8b	(/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (/.f64 1/2 a)) -1))
	1.5b	(/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a 2))) 3))
✓	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
	42.1b	(pow.f64 (/.f64 g (*.f64 a 2)) 1/3)

Compiler

Compiled 294 to 238 computations (19% saved)

regimes193.0ms (4.8%)

Counts

42 → 1

Calls

Call 1

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

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

Calls

8 calls:

25.0ms	g
25.0ms	(/.f64 g (*.f64 2 a))
25.0ms	a
25.0ms	(*.f64 2 a)
21.0ms	(*.f64 2 a)

Results

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

Compiler

Compiled 433 to 288 computations (33.5% saved)

regimes230.0ms (5.7%)

Counts

32 → 1

Calls

Call 1

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

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

Calls

8 calls:

36.0ms	g
29.0ms	(*.f64 2 a)
29.0ms	a
28.0ms	(*.f64 2 a)
25.0ms	(/.f64 g (*.f64 2 a))

Results

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

Compiler

Compiled 324 to 216 computations (33.3% saved)

regimes70.0ms (1.7%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

15.0ms	(*.f64 2 a)
13.0ms	g
13.0ms	a
11.0ms	(/.f64 g (*.f64 2 a))
11.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Results

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

Compiler

Compiled 91 to 63 computations (30.8% saved)

regimes53.0ms (1.3%)

Accuracy

Total -27.4b remaining (-185%)

Threshold costs -27.4b (-185%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Error	Segments	Branch
14.8b	1	`g`
14.8b	1	`a`
14.8b	1	`(cbrt.f64 (/.f64 g (*.f64 2 a)))`
14.8b	1	`(/.f64 g (*.f64 2 a))`
14.8b	1	`(*.f64 2 a)`

Compiler

Compiled 60 to 42 computations (30% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	57
1	31	57

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

soundness0.0ms (0%)

end42.0ms (1%)

Compiler: Compiled 39 to 28 computations (28.2% saved)