Details

analyze40.0ms (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)

sample849.0ms (22%)

Results

825.0ms

8256×

body

256

valid

preprocess33.0ms (0.8%)

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)

simplify12.0ms (0.3%)

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)))

eval1.0ms (0%)

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

prune2.0ms (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

17.4b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.4b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 8 to 6 computations (25% saved)

localize18.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	17.0b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series13.0ms (0.3%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	a	@	inf	(cbrt.f64 (/.f64 g (*.f64 2 a)))
2.0ms	g	@	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)))
1.0ms	a	@	0	(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite75.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

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

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

Outputs

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

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

27 → 27

Calls

Call 1

Inputs

Outputs

eval12.0ms (0.3%)

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

prune21.0ms (0.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	19	8	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	9	28

Error

0.1b

Counts

28 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	18.0b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 3)
▶	34.7b	(*.f64 (cbrt.f64 g) (pow.f64 (/.f64 1/2 a) 1/3))
	0.8b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
▶	0.7b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
▶	45.6b	(pow.f64 (*.f64 1/2 (/.f64 g a)) 1/3)
▶	0.7b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	17.6b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
✓	17.4b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 164 to 130 computations (20.7% saved)

localize19.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

series9.0ms (0.2%)

Counts

3 → 0

Calls

12 calls:

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

rewrite105.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

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

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

Outputs

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

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

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

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

72 → 72

Calls

Call 1

Inputs

Outputs

localize17.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	17.4b	(pow.f64 (*.f64 1/2 (/.f64 g a)) 1/3)

Compiler

Compiled 21 to 11 computations (47.6% saved)

series6.0ms (0.2%)

Counts

1 → 0

Calls

6 calls:

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

rewrite78.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

821×	`pow1_binary64`
770×	`add-log-exp_binary64`
770×	`log1p-expm1-u_binary64`
770×	`expm1-log1p-u_binary64`
752×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	178	9
2	2116	9

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

18 → 18

Calls

Call 1

Inputs

Outputs

localize19.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

series10.0ms (0.3%)

Counts

3 → 0

Calls

12 calls:

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

rewrite91.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 57

Calls

Call 1

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

Outputs

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

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

simplify14.0ms (0.4%)

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

localize23.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (cbrt.f64 g) (pow.f64 (/.f64 1/2 a) 1/3))
	0.5b	(cbrt.f64 g)
✓	2.5b	(pow.f64 (/.f64 1/2 a) 1/3)

Compiler

Compiled 24 to 16 computations (33.3% saved)

series8.0ms (0.2%)

Counts

2 → 0

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	a	@	-inf	(*.f64 (cbrt.f64 g) (pow.f64 (/.f64 1/2 a) 1/3))
1.0ms	a	@	0	(pow.f64 (/.f64 1/2 a) 1/3)
1.0ms	g	@	0	(*.f64 (cbrt.f64 g) (pow.f64 (/.f64 1/2 a) 1/3))
1.0ms	a	@	inf	(*.f64 (cbrt.f64 g) (pow.f64 (/.f64 1/2 a) 1/3))
1.0ms	a	@	0	(*.f64 (cbrt.f64 g) (pow.f64 (/.f64 1/2 a) 1/3))

rewrite73.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

810×	`pow1_binary64`
757×	`add-log-exp_binary64`
757×	`log1p-expm1-u_binary64`
757×	`expm1-log1p-u_binary64`
739×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	191	15
2	2103	15

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

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

Outputs

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

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

35 → 35

Calls

Call 1

Inputs

Outputs

localize15.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.5b	(cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))
✓	0.7b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 3)
✓	17.0b	(cbrt.f64 (*.f64 1/2 (/.f64 g a)))

Compiler

Compiled 36 to 20 computations (44.4% saved)

series103.0ms (2.7%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
37.0ms	g	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 3)
26.0ms	a	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 3)
16.0ms	a	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 3)
10.0ms	g	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 3)
6.0ms	g	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 3)

rewrite71.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

887×	`pow1_binary64`
832×	`add-log-exp_binary64`
831×	`log1p-expm1-u_binary64`
831×	`expm1-log1p-u_binary64`
812×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	213	29
2	2293	29

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

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

Outputs

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

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

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

simplify73.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	65	1168
1	185	1064
2	455	1032
3	1392	976
4	3676	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 (-.f64 (log.f64 g) (log.f64 -1)) (log.f64 a)) 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 (-.f64 (log.f64 g) (log.f64 -1)) (log.f64 a)) 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 (-.f64 (log.f64 g) (log.f64 -1)) (log.f64 a)) 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 (-.f64 (log.f64 g) (log.f64 -1)) (log.f64 a)) 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 (-.f64 (log.f64 g) (log.f64 -1)) (log.f64 a)) 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 (-.f64 (log.f64 g) (log.f64 -1)) (log.f64 a)) 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 (-.f64 (log.f64 g) (log.f64 -1)) (log.f64 a)) 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 (-.f64 (log.f64 g) (log.f64 -1)) (log.f64 a)) 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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (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 (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 (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 (.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 (.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 (.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 (.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 (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)))

eval77.0ms (2%)

Compiler: Compiled 3173 to 2226 computations (29.8% saved)

prune54.0ms (1.4%)

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	252	13	265
Fresh	1	2	3
Picked	0	1	1
Done	1	4	5
Total	254	20	274

Error

0.0b

Counts

274 → 20

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.8b	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
✓	45.6b	(pow.f64 (*.f64 1/2 (/.f64 g a)) 1/3)
▶	17.4b	(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
	0.8b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 a 2))))
✓	0.7b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
▶	50.8b	(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 2)))
▶	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
▶	0.7b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
	1.4b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 3))
	1.5b	(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (cbrt.f64 (/.f64 1/2 a)))
✓	18.0b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 3)
✓	0.7b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	17.5b	(cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) g)) 3))
	0.8b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
	16.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (expm1.f64 (log1p.f64 (cbrt.f64 a))))
	17.6b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
	0.8b	(.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (.f64 g 1/2)))
	1.4b	(pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (*.f64 1/2 g)) (cbrt.f64 a))) 3)
	17.4b	(*.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 1/2))
✓	17.4b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 364 to 294 computations (19.2% saved)

localize28.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 34 to 25 computations (26.5% saved)

series5.0ms (0.1%)

Counts

3 → 0

Calls

12 calls:

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

rewrite68.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

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

Outputs

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

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

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

51 → 51

Calls

Call 1

Inputs

Outputs

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 1/2 a) g)
✓	17.0b	(cbrt.f64 (*.f64 (/.f64 1/2 a) g))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite55.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

Outputs

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

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

simplify12.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

68 → 45

Calls

Call 1

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

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

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

series6.0ms (0.2%)

Counts

2 → 0

Calls

9 calls:

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

rewrite59.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	163	15
2	2015	15

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

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

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

53 → 53

Calls

Call 1

Inputs

Outputs

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 24 to 14 computations (41.7% saved)

series4.0ms (0.1%)

Counts

2 → 0

Calls

9 calls:

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

rewrite59.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

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

localize16.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (*.f64 1/2 (/.f64 g a)) 2)
✓	4.1b	(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 2)))
✓	28.5b	(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 2))

Compiler

Compiled 38 to 22 computations (42.1% saved)

series77.0ms (2%)

Counts

3 → 24

Calls

18 calls:

Time	Variable		Point	Expression
51.0ms	g	@	0	(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 2)))
15.0ms	a	@	0	(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 2)))
2.0ms	g	@	0	(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 2))
1.0ms	g	@	inf	(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 2))
1.0ms	a	@	inf	(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 2))

rewrite70.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

918×	`pow1_binary64`
854×	`add-log-exp_binary64`
854×	`log1p-expm1-u_binary64`
854×	`expm1-log1p-u_binary64`
833×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	211	31
2	2447	31

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

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

Outputs

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

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

simplify131.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

713×	`*-commutative_binary64`
638×	`associate-/l*_binary64`
574×	`sqr-pow_binary64`
394×	`associate-/r*_binary64`
328×	`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	665	312
5	4209	312
6	4817	312
7	5030	312
8	5234	312
9	5470	312
10	5792	312
11	6609	312
12	7139	312
13	7783	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 (*.f64 a a)) g))
(.f64 (.f64 g g) (/.f64 1/4 (*.f64 a 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 (*.f64 a a)) g))
(.f64 (.f64 g g) (/.f64 1/4 (*.f64 a 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 (*.f64 a a)) g))
(.f64 (.f64 g g) (/.f64 1/4 (*.f64 a 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 (*.f64 a a)) g))
(.f64 (.f64 g g) (/.f64 1/4 (*.f64 a 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 (*.f64 a a)) g))
(.f64 (.f64 g g) (/.f64 1/4 (*.f64 a 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 (*.f64 a a)) g))
(.f64 (.f64 g g) (/.f64 1/4 (*.f64 a 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 (*.f64 a a)) g))
(.f64 (.f64 g g) (/.f64 1/4 (*.f64 a 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 (*.f64 a a)) g))
(.f64 (.f64 g g) (/.f64 1/4 (*.f64 a 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 (*.f64 a a)) g))
(.f64 (.f64 g g) (/.f64 1/4 (*.f64 a 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 (*.f64 a a)) g))
(.f64 (.f64 g g) (/.f64 1/4 (*.f64 a 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 (*.f64 a a)) g))
(.f64 (.f64 g g) (/.f64 1/4 (*.f64 a 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 (*.f64 a a)) g))
(.f64 (.f64 g g) (/.f64 1/4 (*.f64 a 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 (*.f64 a a)) g))
(.f64 (.f64 g g) (/.f64 1/4 (*.f64 a 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 (*.f64 a a)) g))
(.f64 (.f64 g g) (/.f64 1/4 (*.f64 a 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 (*.f64 a a)) g))
(.f64 (.f64 g g) (/.f64 1/4 (*.f64 a 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 (*.f64 a a)) g))
(.f64 (.f64 g g) (/.f64 1/4 (*.f64 a 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 (*.f64 a a)) g))
(.f64 (.f64 g g) (/.f64 1/4 (*.f64 a 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 (*.f64 a a)) g))
(.f64 (.f64 g g) (/.f64 1/4 (*.f64 a 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 (*.f64 a a)) g))
(.f64 (.f64 g g) (/.f64 1/4 (*.f64 a 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 (*.f64 a a)) g))
(.f64 (.f64 g g) (/.f64 1/4 (*.f64 a 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 (*.f64 a a)) g))
(.f64 (.f64 g g) (/.f64 1/4 (*.f64 a 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 (*.f64 a a)) g))
(.f64 (.f64 g g) (/.f64 1/4 (*.f64 a 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 (*.f64 a a)) g))
(.f64 (.f64 g g) (/.f64 1/4 (*.f64 a 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 (*.f64 a a)) g))
(.f64 (.f64 g g) (/.f64 1/4 (*.f64 a a)))

eval92.0ms (2.4%)

Compiler: Compiled 4006 to 2647 computations (33.9% saved)

prune67.0ms (1.7%)

Pruning

21 alts after pruning (13 fresh and 8 done)

	Pruned	Kept	Total
New	344	7	351
Fresh	4	6	10
Picked	1	0	1
Done	1	8	9
Total	350	21	371

Error

0.0b

Counts

371 → 21

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.7b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	0.8b	(.f64 (/.f64 1 (cbrt.f64 (.f64 2 a))) (cbrt.f64 g))
✓	0.8b	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
✓	45.6b	(pow.f64 (*.f64 1/2 (/.f64 g a)) 1/3)
✓	17.4b	(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
	0.8b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
▶	17.5b	(cbrt.f64 (/.f64 1/2 (/.f64 a g)))
	17.6b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
▶	0.7b	(/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 g 1/2))))
	44.4b	(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 g a))) 2))
▶	0.8b	(.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (.f64 g 1/2)))
▶	1.1b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
▶	1.4b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 3))
	50.8b	(sqrt.f64 (cbrt.f64 (.f64 (/.f64 g a) (.f64 1/2 (*.f64 1/2 (/.f64 g a))))))
	17.5b	(cbrt.f64 (/.f64 (/.f64 (*.f64 1/2 g) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a)))
✓	18.0b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 3)
✓	0.7b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	1.4b	(pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (*.f64 1/2 g)) (cbrt.f64 a))) 3)
	17.4b	(*.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 1/2))
✓	17.4b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 361 to 283 computations (21.6% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 31 to 20 computations (35.5% saved)

series8.0ms (0.2%)

Counts

2 → 0

Calls

12 calls:

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

rewrite64.0ms (1.7%)

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	2504	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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 (cbrt.f64 (cbrt.f64 (*.f64 2 (/.f64 a g)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 2 (/.f64 a g)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 a g)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cbrt.f64 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 (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)) (/.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) (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 *.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 (*.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 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))))))))

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

75 → 75

Calls

Call 1

Inputs

Outputs

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1/2 (/.f64 a g))
✓	17.0b	(cbrt.f64 (/.f64 1/2 (/.f64 a g)))

Compiler

Compiled 19 to 9 computations (52.6% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite65.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

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

81 → 57

Calls

Call 1

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

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

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 28 to 18 computations (35.7% saved)

series4.0ms (0.1%)

Counts

2 → 0

Calls

9 calls:

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

rewrite59.0ms (1.5%)

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))))))))

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

46 → 46

Calls

Call 1

Inputs

Outputs

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
	0.5b	(cbrt.f64 g)
	0.5b	(cbrt.f64 a)
✓	1.0b	(cbrt.f64 2)

Compiler

Compiled 24 to 14 computations (41.7% saved)

series3.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

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

rewrite61.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	181	12
2	2223	12

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

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

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

53 → 53

Calls

Call 1

Inputs

Outputs

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 33 to 19 computations (42.4% saved)

series26.0ms (0.7%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	a	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 a)) 3)
10.0ms	a	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 a)) 3)
6.0ms	a	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 a)) 3)
0.0ms	a	@	-inf	(cbrt.f64 (cbrt.f64 a))
0.0ms	a	@	inf	(cbrt.f64 (cbrt.f64 a))

rewrite54.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

Outputs

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

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

simplify151.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

97 → 80

Calls

Call 1

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

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

eval141.0ms (3.7%)

Compiler: Compiled 5874 to 3970 computations (32.4% saved)

prune77.0ms (2%)

Pruning

23 alts after pruning (11 fresh and 12 done)

	Pruned	Kept	Total
New	453	8	461
Fresh	5	3	8
Picked	0	1	1
Done	1	11	12
Total	459	23	482

Error

Counts

482 → 23

Alt Table

Click to see full alt table

Status	Error	Program
✓	45.6b	(pow.f64 (*.f64 1/2 (/.f64 g a)) 1/3)
✓	17.4b	(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
✓	0.7b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
	2.2b	(/.f64 (cbrt.f64 (.f64 g 1/2)) (.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 a))) 2) 2) 3/2) (cbrt.f64 (cbrt.f64 a))))
	17.6b	(/.f64 1 (cbrt.f64 (*.f64 (/.f64 a g) 2)))
✓	17.5b	(cbrt.f64 (/.f64 1/2 (/.f64 a g)))
✓	0.8b	(.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (.f64 g 1/2)))
✓	1.1b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
	0.8b	(/.f64 1 (.f64 (/.f64 1 (cbrt.f64 (.f64 g 1/2))) (cbrt.f64 a)))
✓	1.4b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 3))
	50.8b	(sqrt.f64 (cbrt.f64 (.f64 (/.f64 g a) (.f64 1/2 (*.f64 1/2 (/.f64 g a))))))
	45.9b	(/.f64 1 (pow.f64 (*.f64 2 (/.f64 a g)) 1/3))
	1.4b	(pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (*.f64 1/2 g)) (cbrt.f64 a))) 3)
✓	17.4b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	17.4b	(*.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 (/.f64 a g))))
	1.6b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 (cbrt.f64 2)) 3)))
✓	18.0b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 3)
✓	0.7b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	17.4b	(/.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 a g)))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	0.9b	(/.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 a) (cbrt.f64 1/2)))
✓	0.7b	(/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 g 1/2))))
	17.4b	(*.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 1/2))

Compiler

Compiled 249 to 197 computations (20.9% saved)

regimes137.0ms (3.6%)

Counts

37 → 1

Calls

Call 1

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

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

Calls

6 calls:

33.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))
24.0ms	g
19.0ms	(*.f64 2 a)
18.0ms	a
18.0ms	(*.f64 2 a)

Results

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

Compiler

Compiled 363 to 236 computations (35% saved)

regimes34.0ms (0.9%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	a
7.0ms	(*.f64 2 a)
6.0ms	g
6.0ms	(/.f64 g (*.f64 2 a))
5.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Results

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

Compiler

Compiled 99 to 67 computations (32.3% saved)

regimes35.0ms (0.9%)

Accuracy

Total -28.6b remaining (-165%)

Threshold costs -28.6b (-165%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	g
7.0ms	(*.f64 2 a)
6.0ms	a
6.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))
5.0ms	(/.f64 g (*.f64 2 a))

Results

Error	Segments	Branch
17.4b	1	`g`
17.4b	1	`a`
17.4b	1	`(cbrt.f64 (/.f64 g (*.f64 2 a)))`
17.4b	1	`(/.f64 g (*.f64 2 a))`
17.4b	1	`(*.f64 2 a)`

Compiler

Compiled 92 to 62 computations (32.6% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	40
1	20	40

Stop Event

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

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

Compiler

Compiled 34 to 26 computations (23.5% saved)

soundness0.0ms (0%)

end32.0ms (0.8%)

Compiler: Compiled 28 to 20 computations (28.6% saved)