Details

analyze42.0ms (1.4%)

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)

sample817.0ms (26.9%)

Results

803.0ms

8256×

body

256

valid

preprocess19.0ms (0.6%)

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)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series6.0ms (0.2%)

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)))

rewrite48.0ms (1.6%)

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

Outputs

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

27 → 27

Calls

Call 1

Inputs

Outputs

eval9.0ms (0.3%)

Compiler: Compiled 268 to 199 computations (25.7% saved)

prune12.0ms (0.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

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

Error

0.1b

Counts

28 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	38.9b	(pow.f64 (*.f64 g (/.f64 1/2 a)) 1/3)
▶	14.8b	(.f64 1 (cbrt.f64 (.f64 g (/.f64 1/2 a))))
✓	14.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
▶	0.9b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
	15.5b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 3)
▶	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
▶	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	0.9b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	14.6b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))

Compiler

Compiled 186 to 148 computations (20.4% saved)

localize5.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.7b	(cbrt.f64 a)
	0.6b	(cbrt.f64 (*.f64 g 1/2))
	0.4b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
✓	0.4b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
✓	0.6b	(cbrt.f64 (*.f64 g 1/2))
✓	0.7b	(cbrt.f64 a)

series6.0ms (0.2%)

Counts

3 → 0

Calls

12 calls:

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

rewrite50.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

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

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

Outputs

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

simplify8.0ms (0.3%)

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

localize5.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	15.6b	(pow.f64 (*.f64 g (/.f64 1/2 a)) 1/3)
	0.2b	(*.f64 g (/.f64 1/2 a))
✓	0.2b	(*.f64 g (/.f64 1/2 a))
✓	15.6b	(pow.f64 (*.f64 g (/.f64 1/2 a)) 1/3)

series7.0ms (0.2%)

Counts

2 → 24

Calls

12 calls:

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

rewrite51.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

787×	`pow1_binary64`
739×	`add-log-exp_binary64`
739×	`log1p-expm1-u_binary64`
739×	`expm1-log1p-u_binary64`
722×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	179	16
2	2076	16

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

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

Outputs

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

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

simplify12.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

64 → 42

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

localize5.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	14.5b	(cbrt.f64 (*.f64 g (/.f64 1/2 a)))
	0.2b	(*.f64 g (/.f64 1/2 a))
	0.2b	(*.f64 g (/.f64 1/2 a))
✓	14.5b	(cbrt.f64 (*.f64 g (/.f64 1/2 a)))

series2.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

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

rewrite45.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

689×	`pow1_binary64`
642×	`add-log-exp_binary64`
642×	`log1p-expm1-u_binary64`
642×	`expm1-log1p-u_binary64`
628×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	147	9
2	1760	9

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

21 → 21

Calls

Call 1

Inputs

Outputs

localize6.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

series5.0ms (0.2%)

Counts

3 → 0

Calls

12 calls:

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

rewrite61.0ms (2%)

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 exp.f64 (log.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 -.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 exp.f64 (log.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 -.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 (/.f64 g (*.f64 a 2)) 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 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 exp.f64 (log.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)))))))))

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

localize7.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

series9.0ms (0.3%)

Counts

3 → 0

Calls

12 calls:

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

rewrite52.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	197	24
2	2241	24

Stop Event

1×	node limit

Counts

3 → 73

Calls

Call 1

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

Outputs

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

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

simplify8.0ms (0.3%)

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

eval90.0ms (3%)

Compiler: Compiled 3411 to 2440 computations (28.5% saved)

prune84.0ms (2.8%)

Pruning

27 alts after pruning (22 fresh and 5 done)

	Pruned	Kept	Total
New	287	20	307
Fresh	2	2	4
Picked	0	1	1
Done	1	4	5
Total	290	27	317

Error

0.0b

Counts

317 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	1.1b	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))
	1.4b	(.f64 (cbrt.f64 g) (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 a))) 3)))
▶	31.0b	(.f64 (cbrt.f64 g) (pow.f64 (pow.f64 (cbrt.f64 (.f64 2 a)) -1/2) 2))
✓	14.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	1.5b	(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (cbrt.f64 (/.f64 1/2 a)))
	14.9b	(.f64 1 (cbrt.f64 (/.f64 1 (/.f64 a (.f64 g 1/2)))))
	47.8b	(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 g (/.f64 1/2 a)) 2)))
✓	0.9b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
	1.5b	(*.f64 (/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (/.f64 (cbrt.f64 1/2) (cbrt.f64 (cbrt.f64 a))))
	15.5b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 3)
	1.5b	(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 (cbrt.f64 g))))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	15.0b	(cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 g (*.f64 2 a))) 3))
	0.9b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
✓	38.9b	(pow.f64 (*.f64 g (/.f64 1/2 a)) 1/3)
▶	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
✓	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
	1.4b	(/.f64 (cbrt.f64 (.f64 g 1/2)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) (cbrt.f64 (cbrt.f64 a))))
	14.6b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
	32.6b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (exp.f64 (log.f64 (cbrt.f64 a))))
▶	1.1b	(.f64 (cbrt.f64 g) (/.f64 1 (.f64 (cbrt.f64 2) (cbrt.f64 a))))
▶	0.9b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
	42.1b	(.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 g (/.f64 1/2 a)) 3))))
▶	14.8b	(cbrt.f64 (*.f64 g (/.f64 1/2 a)))
	0.9b	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
	1.1b	(.f64 (cbrt.f64 g) (.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 2 a)))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 2 a)) -2))))

Compiler

Compiled 584 to 466 computations (20.2% saved)

localize6.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

series3.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

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

rewrite49.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	163	9
2	2015	9

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

33 → 33

Calls

Call 1

Inputs

Outputs

localize5.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	14.5b	(cbrt.f64 (*.f64 g (/.f64 1/2 a)))
	0.2b	(*.f64 g (/.f64 1/2 a))
	0.2b	(*.f64 g (/.f64 1/2 a))
	14.5b	(cbrt.f64 (*.f64 g (/.f64 1/2 a)))

rewrite0.0ms (0%)

Counts: 0 → 0

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize8.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.7b	(cbrt.f64 a)
	0.6b	(cbrt.f64 g)
	0.4b	(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
	0.4b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
✓	0.4b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
✓	0.4b	(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
	0.6b	(cbrt.f64 g)
	0.7b	(cbrt.f64 a)

series4.0ms (0.1%)

Counts

2 → 0

Calls

9 calls:

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

rewrite57.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

simplify8.0ms (0.3%)

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

localize9.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.6b	(cbrt.f64 g)
	0.3b	(.f64 (cbrt.f64 g) (/.f64 1 (.f64 (cbrt.f64 2) (cbrt.f64 a))))
	0.3b	(*.f64 (cbrt.f64 2) (cbrt.f64 a))
	0.2b	(/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 a)))
✓	0.3b	(.f64 (cbrt.f64 g) (/.f64 1 (.f64 (cbrt.f64 2) (cbrt.f64 a))))
	0.6b	(cbrt.f64 g)
	0.7b	(cbrt.f64 a)
✓	1.0b	(cbrt.f64 2)

series3.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

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

rewrite65.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

934×	`pow1_binary64`
865×	`add-log-exp_binary64`
865×	`log1p-expm1-u_binary64`
865×	`expm1-log1p-u_binary64`
842×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	217	12
2	2493	12

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

Outputs

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

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

43 → 43

Calls

Call 1

Inputs

Outputs

localize8.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.6b	(cbrt.f64 g)
	0.3b	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 a)) -1/2) 2)
	0.2b	(.f64 (cbrt.f64 g) (pow.f64 (pow.f64 (cbrt.f64 (.f64 2 a)) -1/2) 2))
	0.0b	(pow.f64 (cbrt.f64 (*.f64 2 a)) -1/2)
✓	0.2b	(.f64 (cbrt.f64 g) (pow.f64 (pow.f64 (cbrt.f64 (.f64 2 a)) -1/2) 2))
✓	0.3b	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 a)) -1/2) 2)
	0.6b	(cbrt.f64 g)
	0.6b	(cbrt.f64 (*.f64 2 a))

series10.0ms (0.3%)

Counts

2 → 0

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	a	@	-inf	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 a)) -1/2) 2)
2.0ms	a	@	0	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 a)) -1/2) 2)
2.0ms	a	@	inf	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 a)) -1/2) 2)
0.0ms	a	@	-inf	(.f64 (cbrt.f64 g) (pow.f64 (pow.f64 (cbrt.f64 (.f64 2 a)) -1/2) 2))
0.0ms	g	@	0	(.f64 (cbrt.f64 g) (pow.f64 (pow.f64 (cbrt.f64 (.f64 2 a)) -1/2) 2))

rewrite55.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

925×	`pow1_binary64`
860×	`add-log-exp_binary64`
860×	`log1p-expm1-u_binary64`
860×	`expm1-log1p-u_binary64`
836×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	227	23
2	2456	23

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

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

Outputs

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

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

33 → 33

Calls

Call 1

Inputs

Outputs

eval104.0ms (3.4%)

Compiler: Compiled 4364 to 3016 computations (30.9% saved)

prune83.0ms (2.7%)

Pruning

27 alts after pruning (19 fresh and 8 done)

	Pruned	Kept	Total
New	354	12	366
Fresh	10	7	17
Picked	1	0	1
Done	1	8	9
Total	366	27	393

Error

0.0b

Counts

393 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	15.5b	(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 g 1/2) a))) 3)
	1.4b	(.f64 (cbrt.f64 g) (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 a))) 3)))
✓	14.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	1.1b	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))
	1.5b	(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (cbrt.f64 (*.f64 2 a)))
	1.1b	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 a)) (cbrt.f64 2))
	47.8b	(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 g (/.f64 1/2 a)) 2)))
	34.0b	(/.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 g 1/2))) 2) (cbrt.f64 a))
✓	0.9b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
	0.8b	(/.f64 (cbrt.f64 g) (/.f64 1 (/.f64 1 (cbrt.f64 (*.f64 2 a)))))
▶	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
▶	15.0b	(cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))) 3))
▶	35.6b	(/.f64 (exp.f64 (log.f64 (cbrt.f64 g))) (cbrt.f64 (*.f64 2 a)))
✓	38.9b	(pow.f64 (*.f64 g (/.f64 1/2 a)) 1/3)
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
✓	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
	1.4b	(/.f64 (cbrt.f64 (.f64 g 1/2)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) (cbrt.f64 (cbrt.f64 a))))
	14.6b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
▶	14.9b	(cbrt.f64 (/.f64 1 (/.f64 a (*.f64 g 1/2))))
	32.6b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (exp.f64 (log.f64 (cbrt.f64 a))))
▶	0.8b	(*.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 a)) (cbrt.f64 1/2))
✓	0.9b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
✓	14.8b	(cbrt.f64 (*.f64 g (/.f64 1/2 a)))
	0.9b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	42.1b	(cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 g (/.f64 1/2 a)) 3)))
	1.1b	(.f64 (cbrt.f64 g) (.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 2 a)))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 2 a)) -2))))

Compiler

Compiled 525 to 425 computations (19% saved)

localize8.0ms (0.3%)

Local error

Found 8 expressions with local error:

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

series6.0ms (0.2%)

Counts

3 → 0

Calls

12 calls:

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

rewrite57.0ms (1.9%)

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

simplify8.0ms (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

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	14.5b	(cbrt.f64 (/.f64 1 (/.f64 a (*.f64 g 1/2))))
	0.2b	(/.f64 1 (/.f64 a (*.f64 g 1/2)))
✓	0.2b	(/.f64 1 (/.f64 a (*.f64 g 1/2)))
✓	14.5b	(cbrt.f64 (/.f64 1 (/.f64 a (*.f64 g 1/2))))

series4.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite55.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	187	16
2	2369	16

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

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

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

simplify12.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

98 → 75

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

localize7.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.7b	(cbrt.f64 a)
	0.6b	(cbrt.f64 g)
	0.4b	(*.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 a)) (cbrt.f64 1/2))
	0.4b	(/.f64 (cbrt.f64 g) (cbrt.f64 a))
✓	0.4b	(/.f64 (cbrt.f64 g) (cbrt.f64 a))
✓	0.4b	(*.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 a)) (cbrt.f64 1/2))
	0.6b	(cbrt.f64 g)
	0.7b	(cbrt.f64 a)

series6.0ms (0.2%)

Counts

2 → 0

Calls

12 calls:

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

rewrite51.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

879×	`pow1_binary64`
818×	`add-log-exp_binary64`
818×	`log1p-expm1-u_binary64`
818×	`expm1-log1p-u_binary64`
795×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	181	15
2	2208	15

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

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

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

53 → 53

Calls

Call 1

Inputs

Outputs

localize8.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	14.5b	(cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))) 3))
	14.5b	(cbrt.f64 (*.f64 g (/.f64 1/2 a)))
	0.6b	(pow.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))) 3)
	0.2b	(*.f64 g (/.f64 1/2 a))
	0.2b	(*.f64 g (/.f64 1/2 a))
✓	0.6b	(pow.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))) 3)
	14.5b	(cbrt.f64 (*.f64 g (/.f64 1/2 a)))
✓	14.5b	(cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))) 3))

series11.0ms (0.4%)

Counts

2 → 0

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	a	@	0	(pow.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))) 3)
1.0ms	g	@	0	(pow.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))) 3)
1.0ms	g	@	-inf	(pow.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))) 3)
1.0ms	a	@	inf	(pow.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))) 3)
1.0ms	a	@	-inf	(pow.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))) 3)

rewrite56.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

791×	`pow1_binary64`
745×	`add-log-exp_binary64`
744×	`log1p-expm1-u_binary64`
744×	`expm1-log1p-u_binary64`
729×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	215	16
2	2096	16

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

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

Outputs

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

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

simplify8.0ms (0.3%)

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

localize8.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.6b	(cbrt.f64 (*.f64 2 a))
	0.6b	(cbrt.f64 g)
	0.2b	(/.f64 (exp.f64 (log.f64 (cbrt.f64 g))) (cbrt.f64 (*.f64 2 a)))
	0.0b	(log.f64 (cbrt.f64 g))
✓	0.2b	(/.f64 (exp.f64 (log.f64 (cbrt.f64 g))) (cbrt.f64 (*.f64 2 a)))
	0.6b	(cbrt.f64 g)
	0.6b	(cbrt.f64 (*.f64 2 a))
✓	2.1b	(exp.f64 (log.f64 (cbrt.f64 g)))

series4.0ms (0.1%)

Counts

2 → 0

Calls

9 calls:

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

rewrite48.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	185	12
2	2132	12

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

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

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

simplify11.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

56 → 56

Calls

Call 1

Inputs

Outputs

eval133.0ms (4.4%)

Compiler: Compiled 5203 to 3512 computations (32.5% saved)

prune83.0ms (2.7%)

Pruning

27 alts after pruning (18 fresh and 9 done)

	Pruned	Kept	Total
New	438	9	447
Fresh	5	9	14
Picked	1	0	1
Done	3	9	12
Total	447	27	474

Error

0.0b

Counts

474 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	1.4b	(.f64 (cbrt.f64 g) (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 a))) 3)))
	48.7b	(/.f64 (sqrt.f64 (cbrt.f64 (.f64 g g))) (cbrt.f64 (.f64 2 a)))
✓	14.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	1.1b	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))
	47.8b	(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 g (/.f64 1/2 a)) 2)))
✓	0.9b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
	0.8b	(/.f64 (cbrt.f64 g) (/.f64 1 (/.f64 1 (cbrt.f64 (*.f64 2 a)))))
✓	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
✓	38.9b	(pow.f64 (*.f64 g (/.f64 1/2 a)) 1/3)
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	1.4b	(/.f64 (cbrt.f64 (.f64 g 1/2)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) (cbrt.f64 (cbrt.f64 a))))
	14.7b	(/.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 a g)))
✓	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
	14.6b	(/.f64 1 (cbrt.f64 (*.f64 a (/.f64 2 g))))
	31.0b	(*.f64 (cbrt.f64 g) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 a))) 2))
	14.9b	(*.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 1/2))
	0.9b	(/.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 a) (cbrt.f64 1/2)))
	14.6b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
✓	14.9b	(cbrt.f64 (/.f64 1 (/.f64 a (*.f64 g 1/2))))
	0.8b	(.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 (.f64 g 1/2)))
	1.1b	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 a)) (cbrt.f64 2))
✓	14.8b	(cbrt.f64 (*.f64 g (/.f64 1/2 a)))
	14.8b	(cbrt.f64 (.f64 -1 (/.f64 1 (.f64 (neg.f64 a) (/.f64 2 g)))))
	0.9b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	0.8b	(/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 g 1/2))))
	1.1b	(.f64 (cbrt.f64 g) (.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 2 a)))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 2 a)) -2))))

Compiler

Compiled 297 to 238 computations (19.9% saved)

regimes226.0ms (7.4%)

Counts

51 → 1

Calls

Call 1

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

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

Calls

8 calls:

38.0ms	(*.f64 2 a)
32.0ms	a
30.0ms	(*.f64 2 a)
27.0ms	g
23.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Results

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

Compiler

Compiled 520 to 352 computations (32.3% saved)

regimes51.0ms (1.7%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

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

Compiler

Compiled 133 to 97 computations (27.1% saved)

regimes44.0ms (1.4%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))
8.0ms	(*.f64 2 a)
8.0ms	g
7.0ms	a
6.0ms	(/.f64 g (*.f64 2 a))

Results

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

Compiler

Compiled 121 to 89 computations (26.4% saved)

regimes37.0ms (1.2%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

5 calls:

8.0ms	(*.f64 2 a)
7.0ms	a
6.0ms	g
6.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))
6.0ms	(/.f64 g (*.f64 2 a))

Results

Error	Segments	Branch
14.6b	1	`g`
14.6b	1	`a`
14.6b	1	`(cbrt.f64 (/.f64 g (*.f64 2 a)))`
14.6b	1	`(/.f64 g (*.f64 2 a))`
14.6b	1	`(*.f64 2 a)`

Compiler

Compiled 114 to 84 computations (26.3% saved)

regimes23.0ms (0.7%)

Accuracy

Total -24.1b remaining (-162.5%)

Threshold costs -24.1b (-162.5%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	a
5.0ms	(*.f64 2 a)
3.0ms	g
3.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))
3.0ms	(/.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 47 to 34 computations (27.7% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	63
1	32	63

Stop Event

1×

saturated

Calls

Call 1

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

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

end48.0ms (1.6%)

Stop Event

1×

fuel

Compiler

Compiled 96 to 71 computations (26% saved)