Details

analyze91.0ms (4.3%)

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
95.3%	4.6%	0.1%	13
96.8%	3.1%	0.1%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample816.0ms (39%)

Results

805.0ms

8256×

body

128

valid

preprocess36.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

279×	`rule-/abc-b/ac_binary64`
251×	`rule-/ab-*+aa/1/2b_binary64`
223×	`rule-/-abc--/ac/bc_binary64`
218×	`rule-/a-bc-/nega-cb_binary64`
207×	`rule-a-bc-nega-cb_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	65	18
2	251	18
3	1340	18
0	2	2

Stop Event

1×	saturated
1×	node limit

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

Compiler

Compiled 8 to 6 computations (25% saved)

simplify43.0ms (2%)

Algorithm

1×	egg-herbie

Rules

522×	`rule-a-/a1_binary64`
447×	`rule-a--a0_binary64`
447×	`rule-a-+a0_binary64`
331×	`fma-neg_binary64`
163×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	44	9
2	158	9
3	743	9
4	4021	9

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

16.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	16.1b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.3%)

Counts

1 → 0

Calls

6 calls:

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

rewrite41.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

812×	`rules-30_binary64`
812×	`rules-31_binary64`
812×	`rules-32_binary64`
812×	`rules-33_binary64`
79×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	180	9
2	2361	9

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

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

Outputs

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

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

41 → 41

Calls

Call 1

Inputs

Outputs

prune37.0ms (1.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	35	6	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	7	42

Error

0.2b

Counts

42 → 7

Alt Table

Status	Error	Program
▶	0.8b	(/.f64 (cbrt.f64 (/.f64 g 2)) (cbrt.f64 a))
	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	16.8b	(/.f64 (/.f64 g (.f64 2 a)) (+.f64 (pow.f64 (cbrt.f64 (/.f64 g (.f64 2 a))) 2) (+.f64 0 (.f64 (cbrt.f64 (/.f64 g (.f64 2 a))) 0))))
	0.8b	(.f64 (+.f64 (cbrt.f64 g) (cbrt.f64 g)) (/.f64 1/2 (cbrt.f64 (.f64 2 a))))
	1.1b	(*.f64 (cbrt.f64 (+.f64 g g)) (cbrt.f64 (/.f64 1/4 a)))
	16.8b	(.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (.f64 2 a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))) 2))
✓	16.1b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 649 to 489 computations (24.7% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series6.0ms (0.3%)

Counts

3 → 0

Calls

12 calls:

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

rewrite48.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

906×	`rules-31_binary64`
906×	`rules-32_binary64`
906×	`rules-33_binary64`
87×	`add-sqr-sqrt_binary64`
84×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	205	18
2	2662	18

Stop Event

1×	node limit

Counts

3 → 113

Calls

Call 1

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

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

Outputs

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

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

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

simplify13.0ms (0.6%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

113 → 113

Calls

Call 1

Inputs

Outputs

prune88.0ms (4.2%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	105	8	113
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	105	15	120

Error

0.1b

Counts

120 → 15

Alt Table

Status	Error	Program
	1.1b	(/.f64 (*.f64 (cbrt.f64 (+.f64 g g)) (cbrt.f64 1/4)) (cbrt.f64 a))
✓	0.8b	(/.f64 (cbrt.f64 (/.f64 g 2)) (cbrt.f64 a))
	1.5b	(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 g 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g 2))) 2)) (cbrt.f64 a))
	16.8b	(/.f64 (/.f64 g (.f64 2 a)) (+.f64 (pow.f64 (cbrt.f64 (/.f64 g (.f64 2 a))) 2) (+.f64 0 (.f64 (cbrt.f64 (/.f64 g (.f64 2 a))) 0))))
	0.8b	(.f64 (+.f64 (cbrt.f64 g) (cbrt.f64 g)) (/.f64 1/2 (cbrt.f64 (.f64 2 a))))
	1.2b	(*.f64 (/.f64 (+.f64 (cbrt.f64 g) (cbrt.f64 g)) (cbrt.f64 2)) (/.f64 1/2 (cbrt.f64 a)))
✓	16.1b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	37.7b	(/.f64 (cbrt.f64 (/.f64 g 2)) (exp.f64 (log.f64 (cbrt.f64 a))))
	1.2b	(/.f64 (/.f64 (/.f64 g 2) (+.f64 (pow.f64 (cbrt.f64 (/.f64 g 2)) 2) (+.f64 0 (*.f64 (cbrt.f64 (/.f64 g 2)) 0)))) (cbrt.f64 a))
▶	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	1.7b	(/.f64 (-.f64 (/.f64 (+.f64 (cbrt.f64 g) (cbrt.f64 g)) (cbrt.f64 2)) (cbrt.f64 (/.f64 g 2))) (cbrt.f64 a))
	1.1b	(*.f64 (cbrt.f64 (+.f64 g g)) (cbrt.f64 (/.f64 1/4 a)))
	16.8b	(.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (.f64 2 a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))) 2))
	1.1b	(/.f64 (cbrt.f64 (/.f64 g 2)) (/.f64 a (+.f64 (pow.f64 (cbrt.f64 a) 2) (+.f64 0 (*.f64 (cbrt.f64 a) 0)))))
	4.3b	(/.f64 (cbrt.f64 (/.f64 g 2)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 a) 2) 1/3) (cbrt.f64 (cbrt.f64 a))))

Compiler

Compiled 1709 to 1209 computations (29.3% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series9.0ms (0.4%)

Counts

3 → 0

Calls

12 calls:

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

rewrite47.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

880×	`rules-31_binary64`
880×	`rules-32_binary64`
880×	`rules-33_binary64`
86×	`add-sqr-sqrt_binary64`
82×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	202	18
2	2591	18

Stop Event

1×	node limit

Counts

3 → 112

Calls

Call 1

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

Outputs

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

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

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

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

112 → 112

Calls

Call 1

Inputs

Outputs

prune83.0ms (4%)

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	109	3	112
Fresh	0	12	12
Picked	0	1	1
Done	0	2	2
Total	109	18	127

Error

0.0b

Counts

127 → 18

Alt Table

Status	Error	Program
	1.1b	(/.f64 (*.f64 (cbrt.f64 (+.f64 g g)) (cbrt.f64 1/4)) (cbrt.f64 a))
✓	0.8b	(/.f64 (cbrt.f64 (/.f64 g 2)) (cbrt.f64 a))
	1.5b	(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 g 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g 2))) 2)) (cbrt.f64 a))
	16.8b	(/.f64 (/.f64 g (.f64 2 a)) (+.f64 (pow.f64 (cbrt.f64 (/.f64 g (.f64 2 a))) 2) (+.f64 0 (.f64 (cbrt.f64 (/.f64 g (.f64 2 a))) 0))))
▶	0.8b	(.f64 (+.f64 (cbrt.f64 g) (cbrt.f64 g)) (/.f64 1/2 (cbrt.f64 (.f64 2 a))))
	1.2b	(*.f64 (/.f64 (+.f64 (cbrt.f64 g) (cbrt.f64 g)) (cbrt.f64 2)) (/.f64 1/2 (cbrt.f64 a)))
✓	16.1b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	37.7b	(/.f64 (cbrt.f64 (/.f64 g 2)) (exp.f64 (log.f64 (cbrt.f64 a))))
	1.2b	(/.f64 (cbrt.f64 g) (/.f64 (.f64 2 a) (+.f64 (pow.f64 (cbrt.f64 (.f64 2 a)) 2) (+.f64 0 (.f64 (cbrt.f64 (.f64 2 a)) 0)))))
	1.5b	(/.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (cbrt.f64 (.f64 2 a))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) 2)))
	1.2b	(/.f64 (/.f64 (/.f64 g 2) (+.f64 (pow.f64 (cbrt.f64 (/.f64 g 2)) 2) (+.f64 0 (*.f64 (cbrt.f64 (/.f64 g 2)) 0)))) (cbrt.f64 a))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	1.7b	(/.f64 (-.f64 (/.f64 (+.f64 (cbrt.f64 g) (cbrt.f64 g)) (cbrt.f64 2)) (cbrt.f64 (/.f64 g 2))) (cbrt.f64 a))
	1.1b	(*.f64 (cbrt.f64 (+.f64 g g)) (cbrt.f64 (/.f64 1/4 a)))
	16.8b	(.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (.f64 2 a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))) 2))
	1.1b	(/.f64 (/.f64 g (+.f64 (pow.f64 (cbrt.f64 g) 2) (+.f64 0 (.f64 (cbrt.f64 g) 0)))) (cbrt.f64 (.f64 2 a)))
	1.1b	(/.f64 (cbrt.f64 (/.f64 g 2)) (/.f64 a (+.f64 (pow.f64 (cbrt.f64 a) 2) (+.f64 0 (*.f64 (cbrt.f64 a) 0)))))
	4.3b	(/.f64 (cbrt.f64 (/.f64 g 2)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 a) 2) 1/3) (cbrt.f64 (cbrt.f64 a))))

Compiler

Compiled 1805 to 1299 computations (28% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series7.0ms (0.3%)

Counts

2 → 0

Calls

9 calls:

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

rewrite51.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

262×	`rule-/ab-*+aa/1/2b_binary64`
248×	`rule-aa-fabsaa_binary64`
201×	`rule-nega--0a_binary64`
201×	`rule-nega-/a-1_binary64`
201×	`rule-nega-*a-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	285	18
2	3692	18

Stop Event

1×	node limit

Counts

2 → 88

Calls

Call 1

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

Outputs

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

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

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

88 → 88

Calls

Call 1

Inputs

Outputs

prune148.0ms (7.1%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	193	6	199
Fresh	4	10	14
Picked	1	0	1
Done	1	2	3
Total	199	18	217

Error

0.0b

Counts

217 → 18

Alt Table

Status	Error	Program
	1.1b	(/.f64 (*.f64 (cbrt.f64 (+.f64 g g)) (cbrt.f64 1/4)) (cbrt.f64 a))
✓	0.8b	(/.f64 (cbrt.f64 (/.f64 g 2)) (cbrt.f64 a))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	1.5b	(/.f64 (/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 a))) 2)) (cbrt.f64 (cbrt.f64 (.f64 2 a))))
	16.8b	(.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (.f64 2 a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))) 2))
	0.8b	(.f64 (+.f64 (cbrt.f64 g) (/.f64 g (+.f64 (pow.f64 (cbrt.f64 g) 2) (-.f64 0 (.f64 (cbrt.f64 g) 0))))) (/.f64 1/2 (cbrt.f64 (*.f64 2 a))))
	1.2b	(.f64 (+.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3)) (/.f64 1/2 (cbrt.f64 (.f64 2 a))))
	37.7b	(/.f64 (cbrt.f64 (/.f64 g 2)) (exp.f64 (log.f64 (cbrt.f64 a))))
	1.2b	(.f64 (+.f64 (cbrt.f64 g) (cbrt.f64 g)) (/.f64 1/2 (.f64 (cbrt.f64 a) (cbrt.f64 2))))
	1.1b	(/.f64 (cbrt.f64 (/.f64 g 2)) (/.f64 a (+.f64 (pow.f64 (cbrt.f64 a) 2) (+.f64 0 (*.f64 (cbrt.f64 a) 0)))))
	1.2b	(/.f64 (cbrt.f64 g) (/.f64 (.f64 2 a) (+.f64 (pow.f64 (cbrt.f64 (.f64 2 a)) 2) (+.f64 0 (.f64 (cbrt.f64 (.f64 2 a)) 0)))))
	16.3b	(cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 g (*.f64 2 a))) 3))
	1.5b	(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 g 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g 2))) 2)) (cbrt.f64 a))
	1.7b	(/.f64 (-.f64 (/.f64 (+.f64 (cbrt.f64 g) (cbrt.f64 g)) (cbrt.f64 2)) (cbrt.f64 (/.f64 g 2))) (cbrt.f64 a))
	1.1b	(*.f64 (cbrt.f64 (+.f64 g g)) (cbrt.f64 (/.f64 1/4 a)))
	1.1b	(/.f64 (/.f64 g (+.f64 (pow.f64 (cbrt.f64 g) 2) (+.f64 0 (.f64 (cbrt.f64 g) 0)))) (cbrt.f64 (.f64 2 a)))
	4.3b	(/.f64 (cbrt.f64 (/.f64 g 2)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 a) 2) 1/3) (cbrt.f64 (cbrt.f64 a))))
	1.5b	(.f64 (+.f64 (cbrt.f64 g) (cbrt.f64 g)) (/.f64 1/2 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 a))) 3)))

Compiler

Compiled 3342 to 2183 computations (34.7% saved)

regimes280.0ms (13.4%)

Accuracy

Total -40.4b remaining (-5002.8%)

Threshold costs -40.4b (-5002.8%)

Counts

60 → 1

Compiler

Compiled 842 to 561 computations (33.4% saved)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11

Stop Event

1×

saturated

Calls

Call 1

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

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

end195.0ms (9.3%)

Stop Event

1×

fuel

Compiler

Compiled 273 to 183 computations (33% saved)

Details

analyze91.0ms (4.3%)

sample816.0ms (39%)

preprocess36.0ms (1.7%)

simplify43.0ms (2%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series6.0ms (0.3%)

rewrite41.0ms (2%)

simplify6.0ms (0.3%)

prune37.0ms (1.8%)

localize6.0ms (0.3%)

series6.0ms (0.3%)

rewrite48.0ms (2.3%)

simplify13.0ms (0.6%)

prune88.0ms (4.2%)

localize6.0ms (0.3%)

series9.0ms (0.4%)

rewrite47.0ms (2.2%)

simplify7.0ms (0.3%)

prune83.0ms (4%)

localize8.0ms (0.4%)

series7.0ms (0.3%)

rewrite51.0ms (2.4%)

simplify7.0ms (0.4%)

prune148.0ms (7.1%)

regimes280.0ms (13.4%)

simplify1.0ms (0%)

end195.0ms (9.3%)

Profiling