Details

analyze44.0ms (1.1%)

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)

sample857.0ms (21.2%)

Results

843.0ms

8256×

body

256

valid

preprocess21.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 10 to 8 computations (20% saved)

simplify8.0ms (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

15.7b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.7b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 8 to 6 computations (25% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	15.4b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
✓	15.4b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series6.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

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

rewrite57.0ms (1.4%)

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 log1p.f64 (expm1.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)))))))))

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 log1p.f64 (expm1.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)))))))))

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

eval10.0ms (0.2%)

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

prune13.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

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

Error

0.2b

Counts

28 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	16.4b	(.f64 (cbrt.f64 (cbrt.f64 (.f64 g (/.f64 1/2 a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 2))
✓	15.7b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
▶	15.7b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
▶	16.4b	(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)))
▶	37.2b	(pow.f64 (*.f64 g (/.f64 1/2 a)) 1/3)
	15.7b	(.f64 (cbrt.f64 (.f64 g (/.f64 1/2 a))) 1)
▶	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
	1.1b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	1.0b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))

Compiler

Compiled 202 to 160 computations (20.8% saved)

localize13.0ms (0.3%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

series6.0ms (0.2%)

Counts

3 → 0

Calls

12 calls:

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

rewrite66.0ms (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 log1p.f64 (expm1.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 a)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (.f64 g 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 g 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (.f64 g 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 1/2) (cbrt.f64 g))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 g 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 g 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 g 1/2))) 2) (cbrt.f64 (cbrt.f64 (.f64 g 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 g) (cbrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 g 1/2) 1/6) (pow.f64 (.f64 g 1/2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 g 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 g 1/2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (.f64 g 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 g 1/2)) 1/3) (pow.f64 (sqrt.f64 (.f64 g 1/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 g 1/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 g 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (.f64 g 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 g 1/2) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (.f64 g 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (.f64 g 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (.f64 g 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (.f64 g 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 g 1/2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (.f64 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 log1p.f64 (expm1.f64 (cbrt.f64 (.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (.f64 1/2 (/.f64 g a)))))))))

Outputs

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

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

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

simplify12.0ms (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

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	16.4b	(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))
✓	16.4b	(pow.f64 (*.f64 g (/.f64 1/2 a)) 1/3)

Compiler

Compiled 21 to 14 computations (33.3% saved)

series8.0ms (0.2%)

Counts

2 → 24

Calls

12 calls:

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

rewrite60.0ms (1.5%)

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

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

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)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	15.3b	(cbrt.f64 (*.f64 2 (/.f64 a g)))
	0.3b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
✓	0.3b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
✓	15.3b	(cbrt.f64 (*.f64 2 (/.f64 a g)))

Compiler

Compiled 28 to 15 computations (46.4% saved)

series11.0ms (0.3%)

Counts

2 → 0

Calls

12 calls:

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

rewrite65.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	185	21
2	2242	21

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

Outputs

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

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

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

49 → 49

Calls

Call 1

Inputs

Outputs

localize16.0ms (0.4%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

series6.0ms (0.1%)

Counts

3 → 0

Calls

12 calls:

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

rewrite53.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 57

Calls

Call 1

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

Outputs

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

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

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

57 → 57

Calls

Call 1

Inputs

Outputs

localize22.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	15.4b	(cbrt.f64 (*.f64 g (/.f64 1/2 a)))
	0.7b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 3)
	0.5b	(cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))))
	0.2b	(*.f64 g (/.f64 1/2 a))
	0.2b	(*.f64 g (/.f64 1/2 a))
✓	0.5b	(cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))))
✓	0.7b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 3)
✓	15.4b	(cbrt.f64 (*.f64 g (/.f64 1/2 a)))

Compiler

Compiled 36 to 25 computations (30.6% saved)

series102.0ms (2.5%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
34.0ms	g	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 3)
33.0ms	a	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 3)
12.0ms	g	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 3)
9.0ms	a	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 3)
4.0ms	g	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 3)

rewrite64.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

850×	`pow1_binary64`
798×	`add-log-exp_binary64`
797×	`log1p-expm1-u_binary64`
797×	`expm1-log1p-u_binary64`
779×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	214	29
2	2241	29

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

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

simplify59.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

342×	`fma-neg_binary64`
304×	`associate-/l*_binary64`
290×	`distribute-rgt-in_binary64`
251×	`*-commutative_binary64`
250×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	65	1168
1	184	1064
2	454	1032
3	1385	976
4	3642	880

Stop Event

1×	node limit

Counts

122 → 65

Calls

Call 1

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

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

eval112.0ms (2.8%)

Compiler: Compiled 3728 to 2741 computations (26.5% saved)

prune64.0ms (1.6%)

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	294	15	309
Fresh	2	2	4
Picked	0	1	1
Done	1	4	5
Total	297	22	319

Error

0.0b

Counts

319 → 22

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.5b	(*.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 3))
	1.5b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 3))
✓	15.7b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
	0.9b	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
▶	15.7b	(cbrt.f64 (*.f64 g (/.f64 1/2 a)))
	1.5b	(/.f64 (cbrt.f64 (.f64 g 1/2)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) (cbrt.f64 (cbrt.f64 a))))
	35.3b	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) -1/2) 2)
✓	16.4b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 3)
	16.4b	(.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)))))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	1.5b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (/.f64 (cbrt.f64 (.f64 g 1/2)) (cbrt.f64 (cbrt.f64 a))))
▶	46.4b	(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 g (/.f64 1/2 a)) 2)))
	1.5b	(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 g))) 3)
	15.9b	(/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 a g))))
▶	0.9b	(.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (.f64 g 1/2)))
	1.0b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	37.1b	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
▶	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
	0.9b	(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 a))
✓	15.7b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
✓	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
	1.1b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))

Compiler

Compiled 461 to 367 computations (20.4% saved)

localize19.0ms (0.5%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 34 to 25 computations (26.5% saved)

series6.0ms (0.1%)

Counts

3 → 0

Calls

12 calls:

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

rewrite54.0ms (1.3%)

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

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

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

51 → 51

Calls

Call 1

Inputs

Outputs

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	15.4b	(cbrt.f64 (*.f64 g (/.f64 1/2 a)))
	0.2b	(*.f64 g (/.f64 1/2 a))
	0.2b	(*.f64 g (/.f64 1/2 a))
	15.4b	(cbrt.f64 (*.f64 g (/.f64 1/2 a)))

Compiler

Compiled 19 to 12 computations (36.8% saved)

rewrite0.0ms (0%)

Counts: 0 → 0

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

0 → 0

Calls

Call 1

Inputs

Outputs

localize13.0ms (0.3%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 28 to 18 computations (35.7% saved)

series5.0ms (0.1%)

Counts

2 → 0

Calls

9 calls:

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

rewrite51.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

46 → 46

Calls

Call 1

Inputs

Outputs

localize19.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	32.0b	(cbrt.f64 (pow.f64 (*.f64 g (/.f64 1/2 a)) 2))
	3.7b	(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 g (/.f64 1/2 a)) 2)))
	0.2b	(pow.f64 (*.f64 g (/.f64 1/2 a)) 2)
	0.2b	(*.f64 g (/.f64 1/2 a))
	0.2b	(*.f64 g (/.f64 1/2 a))
✓	0.2b	(pow.f64 (*.f64 g (/.f64 1/2 a)) 2)
✓	3.7b	(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 g (/.f64 1/2 a)) 2)))
✓	32.0b	(cbrt.f64 (pow.f64 (*.f64 g (/.f64 1/2 a)) 2))

Compiler

Compiled 38 to 27 computations (28.9% saved)

series78.0ms (1.9%)

Counts

3 → 24

Calls

18 calls:

Time	Variable		Point	Expression
51.0ms	g	@	0	(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 g (/.f64 1/2 a)) 2)))
16.0ms	a	@	0	(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 g (/.f64 1/2 a)) 2)))
1.0ms	g	@	0	(cbrt.f64 (pow.f64 (*.f64 g (/.f64 1/2 a)) 2))
1.0ms	g	@	inf	(cbrt.f64 (pow.f64 (*.f64 g (/.f64 1/2 a)) 2))
1.0ms	g	@	inf	(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 g (/.f64 1/2 a)) 2)))

rewrite67.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

884×	`pow1_binary64`
823×	`add-log-exp_binary64`
823×	`log1p-expm1-u_binary64`
823×	`expm1-log1p-u_binary64`
802×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	212	31
2	2416	31

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

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

Outputs

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

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

simplify122.0ms (3%)

Algorithm

1×	egg-herbie

Rules

738×	`*-commutative_binary64`
639×	`associate-/l*_binary64`
594×	`sqr-pow_binary64`
390×	`associate-/r*_binary64`
333×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	312
1	20	312
2	45	312
3	131	312
4	666	312
5	4164	312
6	4772	312
7	4971	312
8	5175	312
9	5411	312
10	5735	312
11	6533	312
12	7061	312
13	7706	312

Stop Event

1×	node limit

Counts

100 → 78

Calls

Call 1

Inputs
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))

Outputs
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(/.f64 (.f64 1/4 (.f64 g g)) (*.f64 a a))
(.f64 1/4 (.f64 (/.f64 g a) (/.f64 g a)))
(.f64 1/4 (/.f64 (.f64 g g) (*.f64 a a)))
(.f64 1/4 (/.f64 g (.f64 (/.f64 a g) a)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(/.f64 (.f64 1/4 (.f64 g g)) (*.f64 a a))
(.f64 1/4 (.f64 (/.f64 g a) (/.f64 g a)))
(.f64 1/4 (/.f64 (.f64 g g) (*.f64 a a)))
(.f64 1/4 (/.f64 g (.f64 (/.f64 a g) a)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(/.f64 (.f64 1/4 (.f64 g g)) (*.f64 a a))
(.f64 1/4 (.f64 (/.f64 g a) (/.f64 g a)))
(.f64 1/4 (/.f64 (.f64 g g) (*.f64 a a)))
(.f64 1/4 (/.f64 g (.f64 (/.f64 a g) a)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(/.f64 (.f64 1/4 (.f64 g g)) (*.f64 a a))
(.f64 1/4 (.f64 (/.f64 g a) (/.f64 g a)))
(.f64 1/4 (/.f64 (.f64 g g) (*.f64 a a)))
(.f64 1/4 (/.f64 g (.f64 (/.f64 a g) a)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(/.f64 (.f64 1/4 (.f64 g g)) (*.f64 a a))
(.f64 1/4 (.f64 (/.f64 g a) (/.f64 g a)))
(.f64 1/4 (/.f64 (.f64 g g) (*.f64 a a)))
(.f64 1/4 (/.f64 g (.f64 (/.f64 a g) a)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(/.f64 (.f64 1/4 (.f64 g g)) (*.f64 a a))
(.f64 1/4 (.f64 (/.f64 g a) (/.f64 g a)))
(.f64 1/4 (/.f64 (.f64 g g) (*.f64 a a)))
(.f64 1/4 (/.f64 g (.f64 (/.f64 a g) a)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(/.f64 (.f64 1/4 (.f64 g g)) (*.f64 a a))
(.f64 1/4 (.f64 (/.f64 g a) (/.f64 g a)))
(.f64 1/4 (/.f64 (.f64 g g) (*.f64 a a)))
(.f64 1/4 (/.f64 g (.f64 (/.f64 a g) a)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(/.f64 (.f64 1/4 (.f64 g g)) (*.f64 a a))
(.f64 1/4 (.f64 (/.f64 g a) (/.f64 g a)))
(.f64 1/4 (/.f64 (.f64 g g) (*.f64 a a)))
(.f64 1/4 (/.f64 g (.f64 (/.f64 a g) a)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(/.f64 (.f64 1/4 (.f64 g g)) (*.f64 a a))
(.f64 1/4 (.f64 (/.f64 g a) (/.f64 g a)))
(.f64 1/4 (/.f64 (.f64 g g) (*.f64 a a)))
(.f64 1/4 (/.f64 g (.f64 (/.f64 a g) a)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(/.f64 (.f64 1/4 (.f64 g g)) (*.f64 a a))
(.f64 1/4 (.f64 (/.f64 g a) (/.f64 g a)))
(.f64 1/4 (/.f64 (.f64 g g) (*.f64 a a)))
(.f64 1/4 (/.f64 g (.f64 (/.f64 a g) a)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(/.f64 (.f64 1/4 (.f64 g g)) (*.f64 a a))
(.f64 1/4 (.f64 (/.f64 g a) (/.f64 g a)))
(.f64 1/4 (/.f64 (.f64 g g) (*.f64 a a)))
(.f64 1/4 (/.f64 g (.f64 (/.f64 a g) a)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(/.f64 (.f64 1/4 (.f64 g g)) (*.f64 a a))
(.f64 1/4 (.f64 (/.f64 g a) (/.f64 g a)))
(.f64 1/4 (/.f64 (.f64 g g) (*.f64 a a)))
(.f64 1/4 (/.f64 g (.f64 (/.f64 a g) a)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(/.f64 (.f64 1/4 (.f64 g g)) (*.f64 a a))
(.f64 1/4 (.f64 (/.f64 g a) (/.f64 g a)))
(.f64 1/4 (/.f64 (.f64 g g) (*.f64 a a)))
(.f64 1/4 (/.f64 g (.f64 (/.f64 a g) a)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(/.f64 (.f64 1/4 (.f64 g g)) (*.f64 a a))
(.f64 1/4 (.f64 (/.f64 g a) (/.f64 g a)))
(.f64 1/4 (/.f64 (.f64 g g) (*.f64 a a)))
(.f64 1/4 (/.f64 g (.f64 (/.f64 a g) a)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(/.f64 (.f64 1/4 (.f64 g g)) (*.f64 a a))
(.f64 1/4 (.f64 (/.f64 g a) (/.f64 g a)))
(.f64 1/4 (/.f64 (.f64 g g) (*.f64 a a)))
(.f64 1/4 (/.f64 g (.f64 (/.f64 a g) a)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(/.f64 (.f64 1/4 (.f64 g g)) (*.f64 a a))
(.f64 1/4 (.f64 (/.f64 g a) (/.f64 g a)))
(.f64 1/4 (/.f64 (.f64 g g) (*.f64 a a)))
(.f64 1/4 (/.f64 g (.f64 (/.f64 a g) a)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(/.f64 (.f64 1/4 (.f64 g g)) (*.f64 a a))
(.f64 1/4 (.f64 (/.f64 g a) (/.f64 g a)))
(.f64 1/4 (/.f64 (.f64 g g) (*.f64 a a)))
(.f64 1/4 (/.f64 g (.f64 (/.f64 a g) a)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(/.f64 (.f64 1/4 (.f64 g g)) (*.f64 a a))
(.f64 1/4 (.f64 (/.f64 g a) (/.f64 g a)))
(.f64 1/4 (/.f64 (.f64 g g) (*.f64 a a)))
(.f64 1/4 (/.f64 g (.f64 (/.f64 a g) a)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(/.f64 (.f64 1/4 (.f64 g g)) (*.f64 a a))
(.f64 1/4 (.f64 (/.f64 g a) (/.f64 g a)))
(.f64 1/4 (/.f64 (.f64 g g) (*.f64 a a)))
(.f64 1/4 (/.f64 g (.f64 (/.f64 a g) a)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(/.f64 (.f64 1/4 (.f64 g g)) (*.f64 a a))
(.f64 1/4 (.f64 (/.f64 g a) (/.f64 g a)))
(.f64 1/4 (/.f64 (.f64 g g) (*.f64 a a)))
(.f64 1/4 (/.f64 g (.f64 (/.f64 a g) a)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(/.f64 (.f64 1/4 (.f64 g g)) (*.f64 a a))
(.f64 1/4 (.f64 (/.f64 g a) (/.f64 g a)))
(.f64 1/4 (/.f64 (.f64 g g) (*.f64 a a)))
(.f64 1/4 (/.f64 g (.f64 (/.f64 a g) a)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(/.f64 (.f64 1/4 (.f64 g g)) (*.f64 a a))
(.f64 1/4 (.f64 (/.f64 g a) (/.f64 g a)))
(.f64 1/4 (/.f64 (.f64 g g) (*.f64 a a)))
(.f64 1/4 (/.f64 g (.f64 (/.f64 a g) a)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(/.f64 (.f64 1/4 (.f64 g g)) (*.f64 a a))
(.f64 1/4 (.f64 (/.f64 g a) (/.f64 g a)))
(.f64 1/4 (/.f64 (.f64 g g) (*.f64 a a)))
(.f64 1/4 (/.f64 g (.f64 (/.f64 a g) a)))
(*.f64 1/4 (/.f64 (pow.f64 g 2) (pow.f64 a 2)))
(/.f64 (.f64 1/4 (.f64 g g)) (*.f64 a a))
(.f64 1/4 (.f64 (/.f64 g a) (/.f64 g a)))
(.f64 1/4 (/.f64 (.f64 g g) (*.f64 a a)))
(.f64 1/4 (/.f64 g (.f64 (/.f64 a g) a)))

localize21.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.6b	(cbrt.f64 g)
	0.5b	(cbrt.f64 (/.f64 1/2 a))
	0.5b	(cbrt.f64 (cbrt.f64 (/.f64 1/2 a)))
	0.4b	(*.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 3))
✓	0.5b	(cbrt.f64 (cbrt.f64 (/.f64 1/2 a)))
	0.5b	(cbrt.f64 (/.f64 1/2 a))
	0.6b	(cbrt.f64 g)
✓	0.7b	(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 3)

Compiler

Compiled 37 to 27 computations (27% saved)

series33.0ms (0.8%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	a	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 3)
10.0ms	a	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 3)
1.0ms	a	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 3)
0.0ms	a	@	-inf	(cbrt.f64 (cbrt.f64 (/.f64 1/2 a)))
0.0ms	a	@	0	(cbrt.f64 (cbrt.f64 (/.f64 1/2 a)))

rewrite47.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

636×	`pow1_binary64`
603×	`add-log-exp_binary64`
602×	`log1p-expm1-u_binary64`
602×	`expm1-log1p-u_binary64`
588×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	173	14
2	1711	14

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify164.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

2184×	`unswap-sqr_binary64`
1373×	`sqr-pow_binary64`
496×	`pow-sqr_binary64`
370×	`cube-prod_binary64`
369×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	432
1	68	408
2	135	408
3	316	408
4	1118	336
5	2144	336
6	2252	336
7	2446	336
8	2711	336
9	2975	336
10	3306	336
11	3725	336
12	4189	336
13	4741	336
14	5025	336
15	5197	336
16	5301	336
17	5421	336
18	5457	336
19	5906	336
20	6478	336

Stop Event

1×	node limit

Counts

74 → 58

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 a) 1/3) (cbrt.f64 1/2)))
(.f64 1 (.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 1/2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 a) 1/3) (cbrt.f64 1/2)))
(.f64 1 (.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 1/2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 a) 1/3) (cbrt.f64 1/2)))
(.f64 1 (.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 1/2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 a) 1/3) (cbrt.f64 1/2)))
(.f64 1 (.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 1/2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 a) 1/3) (cbrt.f64 1/2)))
(.f64 1 (.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 1/2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 a) 1/3) (cbrt.f64 1/2)))
(.f64 1 (.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 1/2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 a) 1/3) (cbrt.f64 1/2)))
(.f64 1 (.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 1/2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 a) 1/3) (cbrt.f64 1/2)))
(.f64 1 (.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 -1 a) 1/3) (.f64 (pow.f64 1 1/9) (cbrt.f64 -1/2)))
(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))
(.f64 (pow.f64 (/.f64 -1 a) 1/3) (.f64 (pow.f64 1 1/9) (cbrt.f64 -1/2)))
(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))
(.f64 (pow.f64 (/.f64 -1 a) 1/3) (.f64 (pow.f64 1 1/9) (cbrt.f64 -1/2)))
(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))
(.f64 (pow.f64 (/.f64 -1 a) 1/3) (.f64 (pow.f64 1 1/9) (cbrt.f64 -1/2)))
(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 1 4) a) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(.f64 (.f64 (pow.f64 (/.f64 1 a) 1/18) (pow.f64 (/.f64 1 a) 1/18)) (cbrt.f64 (cbrt.f64 1/2)))
(.f64 (pow.f64 (/.f64 1 a) 1/18) (.f64 (pow.f64 (/.f64 1 a) 1/18) (cbrt.f64 (cbrt.f64 1/2))))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 a) 1/36) 4) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 (pow.f64 1 4) a) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(.f64 (.f64 (pow.f64 (/.f64 1 a) 1/18) (pow.f64 (/.f64 1 a) 1/18)) (cbrt.f64 (cbrt.f64 1/2)))
(.f64 (pow.f64 (/.f64 1 a) 1/18) (.f64 (pow.f64 (/.f64 1 a) 1/18) (cbrt.f64 (cbrt.f64 1/2))))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 a) 1/36) 4) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 (pow.f64 1 4) a) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(.f64 (.f64 (pow.f64 (/.f64 1 a) 1/18) (pow.f64 (/.f64 1 a) 1/18)) (cbrt.f64 (cbrt.f64 1/2)))
(.f64 (pow.f64 (/.f64 1 a) 1/18) (.f64 (pow.f64 (/.f64 1 a) 1/18) (cbrt.f64 (cbrt.f64 1/2))))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 a) 1/36) 4) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 (pow.f64 1 4) a) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(.f64 (.f64 (pow.f64 (/.f64 1 a) 1/18) (pow.f64 (/.f64 1 a) 1/18)) (cbrt.f64 (cbrt.f64 1/2)))
(.f64 (pow.f64 (/.f64 1 a) 1/18) (.f64 (pow.f64 (/.f64 1 a) 1/18) (cbrt.f64 (cbrt.f64 1/2))))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 a) 1/36) 4) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 (pow.f64 1 4) a) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(.f64 (.f64 (pow.f64 (/.f64 1 a) 1/18) (pow.f64 (/.f64 1 a) 1/18)) (cbrt.f64 (cbrt.f64 1/2)))
(.f64 (pow.f64 (/.f64 1 a) 1/18) (.f64 (pow.f64 (/.f64 1 a) 1/18) (cbrt.f64 (cbrt.f64 1/2))))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 a) 1/36) 4) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 (pow.f64 1 4) a) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(.f64 (.f64 (pow.f64 (/.f64 1 a) 1/18) (pow.f64 (/.f64 1 a) 1/18)) (cbrt.f64 (cbrt.f64 1/2)))
(.f64 (pow.f64 (/.f64 1 a) 1/18) (.f64 (pow.f64 (/.f64 1 a) 1/18) (cbrt.f64 (cbrt.f64 1/2))))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 a) 1/36) 4) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 (pow.f64 1 4) a) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(.f64 (.f64 (pow.f64 (/.f64 1 a) 1/18) (pow.f64 (/.f64 1 a) 1/18)) (cbrt.f64 (cbrt.f64 1/2)))
(.f64 (pow.f64 (/.f64 1 a) 1/18) (.f64 (pow.f64 (/.f64 1 a) 1/18) (cbrt.f64 (cbrt.f64 1/2))))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 a) 1/36) 4) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 (pow.f64 1 4) a) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(.f64 (.f64 (pow.f64 (/.f64 1 a) 1/18) (pow.f64 (/.f64 1 a) 1/18)) (cbrt.f64 (cbrt.f64 1/2)))
(.f64 (pow.f64 (/.f64 1 a) 1/18) (.f64 (pow.f64 (/.f64 1 a) 1/18) (cbrt.f64 (cbrt.f64 1/2))))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 a) 1/36) 4) (cbrt.f64 (cbrt.f64 1/2)))
(.f64 (pow.f64 (/.f64 -1 a) 1/9) (pow.f64 (.f64 (cbrt.f64 -1/2) 1) 1/3))
(.f64 (.f64 (pow.f64 (/.f64 -1 a) 1/18) (pow.f64 (/.f64 -1 a) 1/18)) (cbrt.f64 (cbrt.f64 -1/2)))
(.f64 (pow.f64 (/.f64 -1 a) 1/18) (.f64 (pow.f64 (/.f64 -1 a) 1/18) (cbrt.f64 (cbrt.f64 -1/2))))
(.f64 (pow.f64 (/.f64 -1 a) 1/18) (.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (/.f64 -1 a) 1/18)))
(*.f64 (pow.f64 (pow.f64 (/.f64 -1 a) 1/36) 4) (cbrt.f64 (cbrt.f64 -1/2)))
(.f64 (pow.f64 (/.f64 -1 a) 1/9) (pow.f64 (.f64 (cbrt.f64 -1/2) 1) 1/3))
(.f64 (.f64 (pow.f64 (/.f64 -1 a) 1/18) (pow.f64 (/.f64 -1 a) 1/18)) (cbrt.f64 (cbrt.f64 -1/2)))
(.f64 (pow.f64 (/.f64 -1 a) 1/18) (.f64 (pow.f64 (/.f64 -1 a) 1/18) (cbrt.f64 (cbrt.f64 -1/2))))
(.f64 (pow.f64 (/.f64 -1 a) 1/18) (.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (/.f64 -1 a) 1/18)))
(*.f64 (pow.f64 (pow.f64 (/.f64 -1 a) 1/36) 4) (cbrt.f64 (cbrt.f64 -1/2)))
(.f64 (pow.f64 (/.f64 -1 a) 1/9) (pow.f64 (.f64 (cbrt.f64 -1/2) 1) 1/3))
(.f64 (.f64 (pow.f64 (/.f64 -1 a) 1/18) (pow.f64 (/.f64 -1 a) 1/18)) (cbrt.f64 (cbrt.f64 -1/2)))
(.f64 (pow.f64 (/.f64 -1 a) 1/18) (.f64 (pow.f64 (/.f64 -1 a) 1/18) (cbrt.f64 (cbrt.f64 -1/2))))
(.f64 (pow.f64 (/.f64 -1 a) 1/18) (.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (/.f64 -1 a) 1/18)))
(*.f64 (pow.f64 (pow.f64 (/.f64 -1 a) 1/36) 4) (cbrt.f64 (cbrt.f64 -1/2)))
(.f64 (pow.f64 (/.f64 -1 a) 1/9) (pow.f64 (.f64 (cbrt.f64 -1/2) 1) 1/3))
(.f64 (.f64 (pow.f64 (/.f64 -1 a) 1/18) (pow.f64 (/.f64 -1 a) 1/18)) (cbrt.f64 (cbrt.f64 -1/2)))
(.f64 (pow.f64 (/.f64 -1 a) 1/18) (.f64 (pow.f64 (/.f64 -1 a) 1/18) (cbrt.f64 (cbrt.f64 -1/2))))
(.f64 (pow.f64 (/.f64 -1 a) 1/18) (.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (/.f64 -1 a) 1/18)))
(*.f64 (pow.f64 (pow.f64 (/.f64 -1 a) 1/36) 4) (cbrt.f64 (cbrt.f64 -1/2)))

eval146.0ms (3.6%)

Compiler: Compiled 5066 to 3730 computations (26.4% saved)

prune83.0ms (2.1%)

Pruning

27 alts after pruning (18 fresh and 9 done)

	Pruned	Kept	Total
New	398	11	409
Fresh	5	7	12
Picked	0	1	1
Done	1	8	9
Total	404	27	431

Error

0.0b

Counts

431 → 27

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.5b	(*.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 3))
✓	15.7b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
✓	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
	1.6b	(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 a))) 3) (cbrt.f64 (.f64 g 1/2)))
	0.9b	(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 a))
	48.5b	(sqrt.f64 (cbrt.f64 (.f64 1/4 (/.f64 g (.f64 (/.f64 a g) a)))))
✓	15.7b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
▶	0.8b	(/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 g 1/2))))
✓	16.4b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 3)
	1.6b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 a))) 3)))
	16.4b	(.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)))))
	1.5b	(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 g))) 3)
	1.8b	(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 3))
✓	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
	16.1b	(cbrt.f64 (/.f64 1 (/.f64 a (*.f64 g 1/2))))
	46.4b	(sqrt.f64 (cbrt.f64 (.f64 (.f64 g (/.f64 1/2 a)) (*.f64 g (/.f64 1/2 a)))))
▶	15.9b	(/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 a g))))
▶	44.2b	(sqrt.f64 (.f64 (cbrt.f64 (.f64 g g)) (pow.f64 (cbrt.f64 (/.f64 1/2 a)) 2)))
✓	0.9b	(.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (.f64 g 1/2)))
	1.1b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	48.8b	(sqrt.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (.f64 g (*.f64 g (/.f64 1/2 a))))))
▶	0.9b	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
	1.0b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
▶	37.1b	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
✓	15.7b	(cbrt.f64 (*.f64 g (/.f64 1/2 a)))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	15.9b	(cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))) 3))

Compiler

Compiled 546 to 438 computations (19.8% saved)

localize18.0ms (0.4%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 31 to 20 computations (35.5% saved)

series7.0ms (0.2%)

Counts

2 → 0

Calls

12 calls:

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

rewrite59.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

967×	`pow1_binary64`
901×	`add-log-exp_binary64`
901×	`log1p-expm1-u_binary64`
901×	`expm1-log1p-u_binary64`
96×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	204	18
2	2500	18

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

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

Outputs

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

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

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

75 → 75

Calls

Call 1

Inputs

Outputs

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	16.3b	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
✓	16.3b	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)

Compiler

Compiled 21 to 11 computations (47.6% saved)

series153.0ms (3.8%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
69.0ms	g	@	-inf	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
35.0ms	g	@	0	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
15.0ms	a	@	0	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
15.0ms	a	@	-inf	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
11.0ms	a	@	inf	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)

rewrite50.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

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

simplify54.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

728×	`fma-neg_binary64`
683×	`div-sub_binary64`
473×	`exp-sum_binary64`
422×	`fma-def_binary64`
371×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	384
1	117	384
2	288	384
3	739	384
4	1999	384
5	5395	384

Stop Event

1×	node limit

Counts

41 → 24

Calls

Call 1

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

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

localize54.0ms (1.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	15.3b	(cbrt.f64 (/.f64 a g))
	1.0b	(cbrt.f64 2)
	0.3b	(/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 a g))))
	0.3b	(*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 a g)))
✓	0.3b	(*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 a g)))
✓	0.3b	(/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 a g))))
✓	1.0b	(cbrt.f64 2)
✓	15.3b	(cbrt.f64 (/.f64 a g))

Compiler

Compiled 31 to 16 computations (48.4% saved)

series9.0ms (0.2%)

Counts

4 → 0

Calls

18 calls:

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

rewrite75.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 85

Calls

Call 1

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

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

simplify54.0ms (1.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

85 → 85

Calls

Call 1

Inputs

Outputs

localize12.0ms (0.3%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 24 to 14 computations (41.7% saved)

series4.0ms (0.1%)

Counts

2 → 0

Calls

9 calls:

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

rewrite53.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

52 → 52

Calls

Call 1

Inputs

Outputs

localize23.0ms (0.6%)

Local error

Found 8 expressions with local error:

New	Error	Program
	3.7b	(sqrt.f64 (.f64 (cbrt.f64 (.f64 g g)) (pow.f64 (cbrt.f64 (/.f64 1/2 a)) 2)))
	0.5b	(cbrt.f64 (/.f64 1/2 a))
	0.5b	(pow.f64 (cbrt.f64 (/.f64 1/2 a)) 2)
	0.3b	(.f64 (cbrt.f64 (.f64 g g)) (pow.f64 (cbrt.f64 (/.f64 1/2 a)) 2))
✓	0.5b	(pow.f64 (cbrt.f64 (/.f64 1/2 a)) 2)
	0.5b	(cbrt.f64 (/.f64 1/2 a))
✓	3.7b	(sqrt.f64 (.f64 (cbrt.f64 (.f64 g g)) (pow.f64 (cbrt.f64 (/.f64 1/2 a)) 2)))
✓	30.2b	(cbrt.f64 (*.f64 g g))

Compiler

Compiled 49 to 29 computations (40.8% saved)

series7.0ms (0.2%)

Counts

3 → 0

Calls

12 calls:

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

rewrite58.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

982×	`pow1_binary64`
910×	`add-log-exp_binary64`
910×	`log1p-expm1-u_binary64`
910×	`expm1-log1p-u_binary64`
112×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	246	26
2	2669	26

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

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

Outputs

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

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

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

62 → 62

Calls

Call 1

Inputs

Outputs

eval131.0ms (3.2%)

Compiler: Compiled 5102 to 3506 computations (31.3% saved)

prune104.0ms (2.6%)

Pruning

25 alts after pruning (14 fresh and 11 done)

	Pruned	Kept	Total
New	392	6	398
Fresh	5	8	13
Picked	1	0	1
Done	2	11	13
Total	400	25	425

Error

0.0b

Counts

425 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	16.2b	(/.f64 1 (*.f64 (cbrt.f64 2) (/.f64 1 (cbrt.f64 (/.f64 g a)))))
✓	15.7b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
✓	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
	15.8b	(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (*.f64 g 1/2) a)) -1))
	1.6b	(.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 a))) 3) (cbrt.f64 (.f64 g 1/2)))
	1.1b	(/.f64 1 (/.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 a)) (cbrt.f64 g)))
	0.9b	(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 a))
	48.5b	(sqrt.f64 (cbrt.f64 (.f64 1/4 (/.f64 g (.f64 (/.f64 a g) a)))))
✓	15.7b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
✓	0.8b	(/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 g 1/2))))
	1.5b	(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 g))) 3)
	1.8b	(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 3))
	15.6b	(/.f64 1 (*.f64 (pow.f64 2 1/3) (cbrt.f64 (/.f64 a g))))
✓	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
	16.1b	(cbrt.f64 (/.f64 1 (/.f64 a (*.f64 g 1/2))))
	46.4b	(sqrt.f64 (cbrt.f64 (.f64 (.f64 g (/.f64 1/2 a)) (*.f64 g (/.f64 1/2 a)))))
✓	15.9b	(/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 a g))))
✓	0.9b	(.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (.f64 g 1/2)))
✓	0.9b	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
	1.0b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
✓	37.1b	(pow.f64 (*.f64 2 (/.f64 a g)) -1/3)
✓	15.7b	(cbrt.f64 (*.f64 g (/.f64 1/2 a)))
	1.0b	(/.f64 1 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 a) (cbrt.f64 (/.f64 1 g)))))
	1.1b	(/.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 a 1/2)))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))

Compiler

Compiled 280 to 226 computations (19.3% saved)

regimes155.0ms (3.8%)

Counts

42 → 1

Calls

Call 1

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

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

Calls

6 calls:

47.0ms	(*.f64 2 a)
21.0ms	(*.f64 2 a)
21.0ms	a
20.0ms	g
16.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Results

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

Compiler

Compiled 456 to 310 computations (32% saved)

regimes31.0ms (0.8%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	g
6.0ms	(*.f64 2 a)
6.0ms	a
5.0ms	(/.f64 g (*.f64 2 a))
5.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Results

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

Compiler

Compiled 92 to 65 computations (29.3% saved)

regimes29.0ms (0.7%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Error	Segments	Branch
1.1b	1	`g`
1.1b	1	`a`
1.1b	1	`(cbrt.f64 (/.f64 g (*.f64 2 a)))`
1.1b	1	`(/.f64 g (*.f64 2 a))`
1.1b	1	`(*.f64 2 a)`

Compiler

Compiled 85 to 61 computations (28.2% saved)

regimes30.0ms (0.8%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	(*.f64 2 a)
5.0ms	g
5.0ms	a
4.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))
4.0ms	(/.f64 g (*.f64 2 a))

Results

Error	Segments	Branch
15.7b	1	`g`
15.7b	1	`a`
15.7b	1	`(cbrt.f64 (/.f64 g (*.f64 2 a)))`
15.7b	1	`(/.f64 g (*.f64 2 a))`
15.7b	1	`(*.f64 2 a)`

Compiler

Compiled 78 to 56 computations (28.2% saved)

regimes24.0ms (0.6%)

Accuracy

Total -21.8b remaining (-138.9%)

Threshold costs -21.8b (-138.9%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Error	Segments	Branch
15.7b	1	`g`
15.7b	1	`a`
15.7b	1	`(cbrt.f64 (/.f64 g (*.f64 2 a)))`
15.7b	1	`(/.f64 g (*.f64 2 a))`
15.7b	1	`(*.f64 2 a)`

Compiler

Compiled 62 to 45 computations (27.4% 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	26	63
1	33	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 a 1/2)))
(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a 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 a 1/2)))
(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
(cbrt.f64 (/.f64 g (*.f64 2 a)))
(cbrt.f64 (/.f64 g (*.f64 a 2)))
(cbrt.f64 (*.f64 g (/.f64 1/2 a)))

end45.0ms (1.1%)

Stop Event

1×

fuel

Compiler

Compiled 96 to 71 computations (26% saved)