Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.9%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample2.2s (76.8%)

Results

2.1s

8256×

body

256

valid

Bogosity

preprocess27.0ms (1%)

Algorithm

2×	egg-herbie

Rules

2×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	9	7
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(+.f64 x (/.f64 1 3))

Outputs
(+.f64 x (/.f64 1 3))
(+.f64 x 1/3)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify131.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

2×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	9	7

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 x (/.f64 1 3))

Outputs
(+.f64 x (/.f64 1 3))
(+.f64 x 1/3)

eval1.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 x 1/3)

Compiler

Compiled 4 to 3 computations (25% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x 1/3)

Compiler

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite192.0ms (6.8%)

Algorithm

1×	batch-egg-rewrite

Rules

886×	`rational.json-5`
884×	`exponential.json-3`
884×	`rational.json-1`
884×	`rational.json-2`
884×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	42	7
2	137	7
3	478	7
4	1769	7
5	7653	7

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

Inputs
(+.f64 x 1/3)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/3 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 x)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -4/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1/3 (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x 1/3) (/.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x 1/3) (.f64 (+.f64 x 1/3) (/.f64 1 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)) (+.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 -1/3 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 -1/3 x) (.f64 (-.f64 -1/3 x) (/.f64 1 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (+.f64 x 1/3)) (.f64 (fabs.f64 (+.f64 x 1/3)) (/.f64 1 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)) (/.f64 1 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)) (.f64 (/.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)) (/.f64 1 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)) (.f64 (.f64 (+.f64 x 1/3) (/.f64 1 (+.f64 x 1/3))) (/.f64 1 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)) (/.f64 (/.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)) (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 x 1/3)) (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x 1/3) (.f64 (+.f64 x 1/3) (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)))) (/.f64 (/.f64 1 (+.f64 x 1/3)) (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x 1/3) (.f64 (+.f64 x 1/3) (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)))) (.f64 (/.f64 (/.f64 1 (+.f64 x 1/3)) (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)) (/.f64 (-.f64 -1/3 x) (-.f64 -1/3 x))) (.f64 (/.f64 1 (/.f64 (-.f64 -1/3 x) (-.f64 -1/3 x))) (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (+.f64 x 1/3)) (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x))) (.f64 (+.f64 x 1/3) (.f64 (+.f64 x 1/3) (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (+.f64 x 1/3) (.f64 (+.f64 x 1/3) (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)))) (.f64 (+.f64 x 1/3) (.f64 (+.f64 x 1/3) (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x))))) (/.f64 (/.f64 (/.f64 1 (+.f64 x 1/3)) (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x))) (.f64 (+.f64 x 1/3) (.f64 (+.f64 x 1/3) (*.f64 (-.f64 -1/3 x) (-.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x 1/3) (/.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 -1/3 x))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 x -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/3 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 x)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -4/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1/3 (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1/3) (/.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1/3) (*.f64 (+.f64 x 1/3) (/.f64 1 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)) (+.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1/3 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1/3 x) (*.f64 (-.f64 -1/3 x) (/.f64 1 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (+.f64 x 1/3)) (*.f64 (fabs.f64 (+.f64 x 1/3)) (/.f64 1 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)) (/.f64 1 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)) (*.f64 (/.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)) (/.f64 1 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)) (*.f64 (*.f64 (+.f64 x 1/3) (/.f64 1 (+.f64 x 1/3))) (/.f64 1 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)) (/.f64 (/.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)) (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1/3)) (*.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1/3) (*.f64 (+.f64 x 1/3) (*.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)))) (/.f64 (/.f64 1 (+.f64 x 1/3)) (*.f64 (-.f64 -1/3 x) (-.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1/3) (*.f64 (+.f64 x 1/3) (*.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)))) (*.f64 (/.f64 (/.f64 1 (+.f64 x 1/3)) (*.f64 (-.f64 -1/3 x) (-.f64 -1/3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)) (/.f64 (-.f64 -1/3 x) (-.f64 -1/3 x))) (*.f64 (/.f64 1 (/.f64 (-.f64 -1/3 x) (-.f64 -1/3 x))) (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 x 1/3)) (*.f64 (-.f64 -1/3 x) (-.f64 -1/3 x))) (*.f64 (+.f64 x 1/3) (*.f64 (+.f64 x 1/3) (*.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (+.f64 x 1/3) (*.f64 (+.f64 x 1/3) (*.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)))) (*.f64 (+.f64 x 1/3) (*.f64 (+.f64 x 1/3) (*.f64 (-.f64 -1/3 x) (-.f64 -1/3 x))))) (/.f64 (/.f64 (/.f64 1 (+.f64 x 1/3)) (*.f64 (-.f64 -1/3 x) (-.f64 -1/3 x))) (*.f64 (+.f64 x 1/3) (*.f64 (+.f64 x 1/3) (*.f64 (-.f64 -1/3 x) (-.f64 -1/3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x 1/3) (/.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 -1/3 x))))))

simplify177.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

1146×	`rational.json-simplify-47`
966×	`exponential.json-simplify-26`
886×	`rational.json-simplify-1`
824×	`rational.json-simplify-2`
612×	`rational.json-simplify-111`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	269
1	143	269
2	306	269
3	826	269
4	2032	269
5	4909	269

Stop Event

1×	node limit

Counts

41 → 32

Calls

Call 1

Inputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
(-.f64 x -1/3)
(-.f64 1/3 (neg.f64 x))
(-.f64 (+.f64 x 1/3) 0)
(-.f64 0 (-.f64 -1/3 x))
(-.f64 (-.f64 0 (-.f64 -1 x)) 2/3)
(-.f64 (-.f64 0 (-.f64 -4/3 x)) 1)
(-.f64 (-.f64 1/3 (-.f64 -1 x)) 1)
(*.f64 (+.f64 x 1/3) 1)
(*.f64 (+.f64 x 1/3) (/.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)))
(.f64 (+.f64 x 1/3) (.f64 (+.f64 x 1/3) (/.f64 1 (+.f64 x 1/3))))
(*.f64 1 (+.f64 x 1/3))
(*.f64 (/.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)) (+.f64 x 1/3))
(*.f64 (-.f64 -1/3 x) -1)
(.f64 (-.f64 -1/3 x) (.f64 (-.f64 -1/3 x) (/.f64 1 (+.f64 x 1/3))))
(.f64 (fabs.f64 (+.f64 x 1/3)) (.f64 (fabs.f64 (+.f64 x 1/3)) (/.f64 1 (+.f64 x 1/3))))
(.f64 (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)) (/.f64 1 (+.f64 x 1/3)))
(.f64 (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)) (*.f64 (/.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)) (/.f64 1 (+.f64 x 1/3))))
(.f64 (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)) (.f64 (.f64 (+.f64 x 1/3) (/.f64 1 (+.f64 x 1/3))) (/.f64 1 (+.f64 x 1/3))))
(.f64 (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)) (/.f64 (/.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)) (+.f64 x 1/3)))
(.f64 (/.f64 1 (+.f64 x 1/3)) (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)))
(.f64 (.f64 (+.f64 x 1/3) (.f64 (+.f64 x 1/3) (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)))) (/.f64 (/.f64 1 (+.f64 x 1/3)) (*.f64 (-.f64 -1/3 x) (-.f64 -1/3 x))))
(.f64 (.f64 (+.f64 x 1/3) (.f64 (+.f64 x 1/3) (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)))) (.f64 (/.f64 (/.f64 1 (+.f64 x 1/3)) (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x))) 1))
(.f64 (.f64 (/.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)) (/.f64 (-.f64 -1/3 x) (-.f64 -1/3 x))) (*.f64 (/.f64 1 (/.f64 (-.f64 -1/3 x) (-.f64 -1/3 x))) (+.f64 x 1/3)))
(.f64 (/.f64 (/.f64 1 (+.f64 x 1/3)) (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x))) (.f64 (+.f64 x 1/3) (.f64 (+.f64 x 1/3) (*.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)))))
(.f64 (.f64 (.f64 (+.f64 x 1/3) (.f64 (+.f64 x 1/3) (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)))) (.f64 (+.f64 x 1/3) (.f64 (+.f64 x 1/3) (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x))))) (/.f64 (/.f64 (/.f64 1 (+.f64 x 1/3)) (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x))) (.f64 (+.f64 x 1/3) (.f64 (+.f64 x 1/3) (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x))))))
(/.f64 (+.f64 x 1/3) 1)
(/.f64 (+.f64 x 1/3) (/.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)))
(pow.f64 (+.f64 x 1/3) 1)
(neg.f64 (-.f64 -1/3 x))

Outputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
(-.f64 x -1/3)
(+.f64 1/3 x)
(-.f64 1/3 (neg.f64 x))
(+.f64 1/3 x)
(-.f64 (+.f64 x 1/3) 0)
(+.f64 1/3 x)
(-.f64 0 (-.f64 -1/3 x))
(+.f64 1/3 x)
(-.f64 (-.f64 0 (-.f64 -1 x)) 2/3)
(+.f64 1/3 x)
(-.f64 (-.f64 0 (-.f64 -4/3 x)) 1)
(+.f64 1/3 x)
(-.f64 (-.f64 1/3 (-.f64 -1 x)) 1)
(+.f64 1/3 x)
(*.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(*.f64 (+.f64 x 1/3) (/.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)))
(+.f64 1/3 x)
(.f64 (+.f64 x 1/3) (.f64 (+.f64 x 1/3) (/.f64 1 (+.f64 x 1/3))))
(+.f64 1/3 x)
(*.f64 1 (+.f64 x 1/3))
(+.f64 1/3 x)
(*.f64 (/.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)) (+.f64 x 1/3))
(+.f64 1/3 x)
(*.f64 (-.f64 -1/3 x) -1)
(+.f64 1/3 x)
(.f64 (-.f64 -1/3 x) (.f64 (-.f64 -1/3 x) (/.f64 1 (+.f64 x 1/3))))
(+.f64 1/3 x)
(.f64 (fabs.f64 (+.f64 x 1/3)) (.f64 (fabs.f64 (+.f64 x 1/3)) (/.f64 1 (+.f64 x 1/3))))
(+.f64 1/3 x)
(.f64 (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)) (/.f64 1 (+.f64 x 1/3)))
(+.f64 1/3 x)
(.f64 (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)) (*.f64 (/.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)) (/.f64 1 (+.f64 x 1/3))))
(+.f64 1/3 x)
(.f64 (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)) (.f64 (.f64 (+.f64 x 1/3) (/.f64 1 (+.f64 x 1/3))) (/.f64 1 (+.f64 x 1/3))))
(+.f64 1/3 x)
(.f64 (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)) (/.f64 (/.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)) (+.f64 x 1/3)))
(+.f64 1/3 x)
(.f64 (/.f64 1 (+.f64 x 1/3)) (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)))
(+.f64 1/3 x)
(.f64 (.f64 (+.f64 x 1/3) (.f64 (+.f64 x 1/3) (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)))) (/.f64 (/.f64 1 (+.f64 x 1/3)) (*.f64 (-.f64 -1/3 x) (-.f64 -1/3 x))))
(+.f64 1/3 x)
(.f64 (.f64 (+.f64 x 1/3) (.f64 (+.f64 x 1/3) (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)))) (.f64 (/.f64 (/.f64 1 (+.f64 x 1/3)) (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x))) 1))
(+.f64 1/3 x)
(.f64 (.f64 (/.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)) (/.f64 (-.f64 -1/3 x) (-.f64 -1/3 x))) (*.f64 (/.f64 1 (/.f64 (-.f64 -1/3 x) (-.f64 -1/3 x))) (+.f64 x 1/3)))
(+.f64 1/3 x)
(.f64 (/.f64 (/.f64 1 (+.f64 x 1/3)) (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x))) (.f64 (+.f64 x 1/3) (.f64 (+.f64 x 1/3) (*.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)))))
(+.f64 1/3 x)
(.f64 (.f64 (.f64 (+.f64 x 1/3) (.f64 (+.f64 x 1/3) (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)))) (.f64 (+.f64 x 1/3) (.f64 (+.f64 x 1/3) (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x))))) (/.f64 (/.f64 (/.f64 1 (+.f64 x 1/3)) (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x))) (.f64 (+.f64 x 1/3) (.f64 (+.f64 x 1/3) (.f64 (-.f64 -1/3 x) (-.f64 -1/3 x))))))
(+.f64 1/3 x)
(/.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(/.f64 (+.f64 x 1/3) (/.f64 (-.f64 -1/3 x) (-.f64 -1/3 x)))
(+.f64 1/3 x)
(pow.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(neg.f64 (-.f64 -1/3 x))
(+.f64 1/3 x)

eval9.0ms (0.3%)

Compiler: Compiled 415 to 318 computations (23.4% saved)

prune6.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	3	33

Error

0.0b

Counts

33 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 x 1/3)
	28.9b	x
	34.4b	1/3

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Error

0.0b

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 x 1/3)
	28.9b	x
	34.4b	1/3

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Error

0.0b

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 x 1/3)
	28.9b	x
	34.4b	1/3

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Error

0.0b

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 x 1/3)
	28.9b	x
	34.4b	1/3

Compiler

Compiled 8 to 6 computations (25% saved)

regimes9.0ms (0.3%)

Counts

4 → 1

Calls

Call 1

Inputs
1/3
x
(+.f64 x 1/3)
(+.f64 x (/.f64 1 3))

Outputs
(+.f64 x 1/3)

Calls

2 calls:

4.0ms	x
3.0ms	(+.f64 x (/.f64 1 3))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(+.f64 x (/.f64 1 3))`

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes13.0ms (0.5%)

Accuracy

Total -60.3b remaining (-4091.3%)

Threshold costs -60.3b (-4091.3%)

Counts

2 → 3

Calls

Call 1

Inputs
1/3
x

Outputs
x
1/3
x

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
1.5b	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

bsearch28.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	0.0007108001869681506	2.397167733842667
15.0ms	-0.7519943825583358	-0.0001306704188855252

Results

22.0ms

256×

body

256

valid

Compiler

Compiled 106 to 88 computations (17% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	29

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x 1/3)
(if (<=.f64 x -5944751508129055/18014398509481984) x (if (<=.f64 x 5944751508129055/18014398509481984) 1/3 x))
1/3

Outputs
(+.f64 x 1/3)
(if (<=.f64 x -5944751508129055/18014398509481984) x (if (<=.f64 x 5944751508129055/18014398509481984) 1/3 x))
1/3

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness18.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

2×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	9	7

Stop Event

1×

saturated

Compiler

Compiled 9 to 7 computations (22.2% saved)

end23.0ms (0.8%)

Compiler: Compiled 16 to 11 computations (31.3% saved)

Details

analyze4.0ms (0.1%)

sample2.2s (76.8%)

preprocess27.0ms (1%)

simplify131.0ms (4.7%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

series1.0ms (0%)

rewrite192.0ms (6.8%)

simplify177.0ms (6.3%)

eval9.0ms (0.3%)

prune6.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

eval0.0ms (0%)

prune1.0ms (0%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes9.0ms (0.3%)

regimes13.0ms (0.5%)

bsearch28.0ms (1%)

simplify3.0ms (0.1%)

soundness18.0ms (0.6%)

end23.0ms (0.8%)

Profiling