Details

analyze112.0ms (7.9%)

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
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
43.7%	56.2%	0.1%	6
59.3%	40.6%	0.1%	7
67.1%	31.2%	1.7%	8
74.1%	22.6%	3.2%	9
77.7%	17.2%	5.2%	10
81%	11.9%	7.1%	11
82.6%	9%	8.4%	12
84.2%	6.1%	9.7%	13
85%	4.6%	10.4%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample810.0ms (56.8%)

Results

779.0ms	8256×	body	128	valid
18.0ms	206×	body	128	invalid

preprocess17.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	14	14
2	18	14
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(/.f64 x (*.f64 y 3))
(/.f64 y (*.f64 x 3))

Outputs
(/.f64 x (*.f64 y 3))
(/.f64 y (*.f64 x 3))
(/.f64 (/.f64 y x) 3)

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify7.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	11	7

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 x (*.f64 y 3))

Outputs
(/.f64 x (*.f64 y 3))
(/.f64 (/.f64 x y) 3)

prune3.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.2b	(/.f64 (/.f64 x y) 3)
	0.3b	(/.f64 x (*.f64 y 3))

Compiler

Compiled 40 to 28 computations (30% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 x y) 3)

series5.0ms (0.4%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(/.f64 (/.f64 x y) 3)
1.0ms	y	@	0	(/.f64 (/.f64 x y) 3)
1.0ms	x	@	0	(/.f64 (/.f64 x y) 3)
1.0ms	x	@	inf	(/.f64 (/.f64 x y) 3)
1.0ms	y	@	inf	(/.f64 (/.f64 x y) 3)

rewrite36.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

715×	`pow1_binary64`
670×	`add-log-exp_binary64`
670×	`log1p-expm1-u_binary64`
670×	`expm1-log1p-u_binary64`
68×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	135	7
2	1786	7

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

Inputs
(/.f64 (/.f64 x y) 3)

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

Outputs

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

simplify10.0ms (0.7%)

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

52 → 29

Calls

Call 1

Inputs
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))

Outputs
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)

prune25.0ms (1.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	24	5	29
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	24	7	31

Error

Counts

31 → 7

Alt Table

Status	Error	Program
✓	0.2b	(/.f64 (/.f64 x y) 3)
	32.0b	(*.f64 (/.f64 (sqrt.f64 x) 3) (/.f64 (sqrt.f64 x) y))
▶	0.3b	(/.f64 x (*.f64 y 3))
	1.2b	(.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3)) 2))
	0.6b	(pow.f64 (/.f64 3 (/.f64 x y)) -1)
	27.8b	(.f64 (sqrt.f64 (/.f64 x y)) (.f64 (sqrt.f64 (/.f64 x y)) 1/3))
	0.4b	(*.f64 (/.f64 1/3 y) x)

Compiler

Compiled 379 to 234 computations (38.3% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 x (*.f64 y 3))

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 x (*.f64 y 3))
0.0ms	x	@	-inf	(/.f64 x (*.f64 y 3))
0.0ms	y	@	inf	(/.f64 x (*.f64 y 3))
0.0ms	y	@	-inf	(/.f64 x (*.f64 y 3))
0.0ms	x	@	inf	(/.f64 x (*.f64 y 3))

rewrite48.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

683×	`pow1_binary64`
637×	`add-log-exp_binary64`
637×	`log1p-expm1-u_binary64`
637×	`expm1-log1p-u_binary64`
64×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1675	7

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

Inputs
(/.f64 x (*.f64 y 3))

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

Outputs

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

simplify11.0ms (0.7%)

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

63 → 39

Calls

Call 1

Inputs
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))

Outputs
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)

prune22.0ms (1.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	40	6	46

Error

Counts

46 → 6

Alt Table

Status	Error	Program
✓	0.2b	(/.f64 (/.f64 x y) 3)
	32.0b	(*.f64 (/.f64 (sqrt.f64 x) 3) (/.f64 (sqrt.f64 x) y))
	0.6b	(pow.f64 (/.f64 3 (/.f64 x y)) -1)
✓	0.3b	(/.f64 x (*.f64 y 3))
	0.4b	(*.f64 (/.f64 1/3 y) x)
▶	0.3b	(*.f64 (/.f64 1 y) (/.f64 x 3))

Compiler

Compiled 460 to 293 computations (36.3% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 1 y) (/.f64 x 3))

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(*.f64 (/.f64 1 y) (/.f64 x 3))
0.0ms	y	@	-inf	(*.f64 (/.f64 1 y) (/.f64 x 3))
0.0ms	x	@	-inf	(*.f64 (/.f64 1 y) (/.f64 x 3))
0.0ms	y	@	inf	(*.f64 (/.f64 1 y) (/.f64 x 3))
0.0ms	x	@	inf	(*.f64 (/.f64 1 y) (/.f64 x 3))

rewrite41.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

828×	`pow1_binary64`
774×	`log1p-expm1-u_binary64`
774×	`expm1-log1p-u_binary64`
82×	`add-sqr-sqrt_binary64`
76×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	171	7
2	2134	7

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

Inputs
(*.f64 (/.f64 1 y) (/.f64 x 3))

Outputs

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

simplify11.0ms (0.7%)

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

72 → 50

Calls

Call 1

Inputs
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))

Outputs
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)
(*.f64 1/3 (/.f64 x y))
(*.f64 (/.f64 1/3 y) x)

prune29.0ms (2.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	50	6	56

Error

Counts

56 → 6

Alt Table

Status	Error	Program
	0.6b	(pow.f64 (/.f64 3 (/.f64 x y)) -1)
✓	0.2b	(/.f64 (/.f64 x y) 3)
✓	0.3b	(/.f64 x (*.f64 y 3))
	0.4b	(*.f64 (/.f64 1/3 y) x)
▶	0.3b	(/.f64 (*.f64 x 1/3) y)
✓	0.3b	(*.f64 (/.f64 1 y) (/.f64 x 3))

Compiler

Compiled 465 to 304 computations (34.6% saved)

localize3.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 x 1/3) y)
✓	0.3b	(*.f64 x 1/3)

series4.0ms (0.3%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 x 1/3)
1.0ms	x	@	0	(/.f64 (*.f64 x 1/3) y)
0.0ms	x	@	0	(*.f64 x 1/3)
0.0ms	x	@	inf	(*.f64 x 1/3)
0.0ms	x	@	-inf	(/.f64 (*.f64 x 1/3) y)

rewrite49.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

673×	`pow1_binary64`
627×	`add-log-exp_binary64`
627×	`log1p-expm1-u_binary64`
627×	`expm1-log1p-u_binary64`
64×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	127	11
2	1655	11

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(*.f64 x 1/3)
(/.f64 (*.f64 x 1/3) y)

Outputs

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

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

simplify12.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	216
1	10	216
2	14	216
3	16	216
4	17	216

Stop Event

1×

saturated

Counts

90 → 56

Calls

Call 1

Inputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))
(*.f64 1/3 (/.f64 x y))

Outputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 1/3 y) x)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 1/3 y) x)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 1/3 y) x)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 1/3 y) x)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 1/3 y) x)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 1/3 y) x)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 1/3 y) x)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 1/3 y) x)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 1/3 y) x)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 1/3 y) x)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 1/3 y) x)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 1/3 y) x)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 1/3 y) x)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 1/3 y) x)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 1/3 y) x)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 1/3 y) x)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 1/3 y) x)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 1/3 y) x)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 1/3 y) x)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 1/3 y) x)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 1/3 y) x)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 1/3 y) x)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 1/3 y) x)
(*.f64 x (/.f64 1/3 y))
(*.f64 1/3 (/.f64 x y))
(/.f64 (*.f64 1/3 x) y)
(/.f64 x (/.f64 y 1/3))
(*.f64 (/.f64 1/3 y) x)
(*.f64 x (/.f64 1/3 y))

prune28.0ms (1.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	56	6	62

Error

Counts

62 → 6

Alt Table

Status	Error	Program
	0.6b	(pow.f64 (/.f64 3 (/.f64 x y)) -1)
✓	0.2b	(/.f64 (/.f64 x y) 3)
✓	0.3b	(/.f64 x (*.f64 y 3))
	0.4b	(*.f64 (/.f64 1/3 y) x)
✓	0.3b	(/.f64 (*.f64 x 1/3) y)
✓	0.3b	(*.f64 (/.f64 1 y) (/.f64 x 3))

Compiler

Compiled 559 to 374 computations (33.1% saved)

regimes75.0ms (5.2%)

Accuracy

Total -0.9b remaining (-371.6%)

Threshold costs -0.9b (-371.6%)

Counts

14 → 1

Compiler

Compiled 132 to 82 computations (37.9% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 x y) 3)

Outputs
(/.f64 (/.f64 x y) 3)

end51.0ms (3.6%)

Stop Event

1×

fuel

Compiler

Compiled 48 to 30 computations (37.5% saved)

Details

analyze112.0ms (7.9%)

sample810.0ms (56.8%)

preprocess17.0ms (1.2%)

simplify7.0ms (0.5%)

prune3.0ms (0.2%)

localize3.0ms (0.2%)

series5.0ms (0.4%)

rewrite36.0ms (2.5%)

simplify10.0ms (0.7%)

prune25.0ms (1.7%)

localize3.0ms (0.2%)

series2.0ms (0.1%)

rewrite48.0ms (3.4%)

simplify11.0ms (0.7%)

prune22.0ms (1.5%)

localize5.0ms (0.4%)

series2.0ms (0.1%)

rewrite41.0ms (2.9%)

simplify11.0ms (0.7%)

prune29.0ms (2.1%)

localize3.0ms (0.2%)

series4.0ms (0.3%)

rewrite49.0ms (3.4%)

simplify12.0ms (0.9%)

prune28.0ms (1.9%)

regimes75.0ms (5.2%)

simplify2.0ms (0.2%)

end51.0ms (3.6%)

Profiling