Details

analyze6.0ms (0.2%)

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)

sample2.7s (74.7%)

Results

2.6s

8256×

body

256

valid

Bogosity

preprocess28.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

2×	`rational_best.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)

simplify26.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

2×	`rational_best.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%)

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)

localize7.0ms (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)

rewrite98.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1078×	`rational_best.json-5`
1076×	`rational_best.json-2`
1076×	`rational_best.json-3`
1076×	`rational_best.json-1`
1076×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	42	7
2	134	7
3	528	7
4	2198	7

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs
(+.f64 x 1/3)

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

Outputs

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

simplify544.0ms (15.2%)

Algorithm

1×	egg-herbie

Rules

1802×	`rational_best.json-simplify-132`
784×	`rational_best.json-simplify-135`
754×	`rational_best.json-simplify-49`
706×	`rational_best.json-simplify-2`
614×	`rational_best.json-simplify-80`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	297
1	138	297
2	726	297
3	2538	297
4	6327	297

Stop Event

1×	node limit

Counts

45 → 36

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

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

eval20.0ms (0.6%)

Compiler: Compiled 651 to 492 computations (24.4% saved)

prune11.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	3	37

Error

0.0b

Counts

37 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 x 1/3)
	30.2b	x
	33.2b	1/3

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

prune2.0ms (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)
	30.2b	x
	33.2b	1/3

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

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)
	30.2b	x
	33.2b	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)
	30.2b	x
	33.2b	1/3

Compiler

Compiled 8 to 6 computations (25% saved)

regimes12.0ms (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:

8.0ms	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)

regimes16.0ms (0.4%)

Accuracy

Total -60.0b remaining (-3595.1%)

Threshold costs -60.0b (-3595.1%)

Counts

2 → 3

Calls

Call 1

Inputs
1/3
x

Outputs
x
1/3
x

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
1.7b	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

bsearch52.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	0.003812353611344266	53466314.82595385
24.0ms	-266.34670703620935	-2.4190180293272645e-5

Results

44.0ms

304×

body

256

valid

Compiler

Compiled 124 to 103 computations (16.9% saved)

simplify4.0ms (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 -6124895493223875/18014398509481984) x (if (<=.f64 x 6034823500676465/18014398509481984) 1/3 x))
1/3

Outputs
(+.f64 x 1/3)
(if (<=.f64 x -6124895493223875/18014398509481984) x (if (<=.f64 x 6034823500676465/18014398509481984) 1/3 x))
1/3

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness37.0ms (1%)

Algorithm

1×	egg-herbie

Rules

2×	`rational_best.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)

end39.0ms (1.1%)

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

Details

analyze6.0ms (0.2%)

sample2.7s (74.7%)

preprocess28.0ms (0.8%)

simplify26.0ms (0.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series1.0ms (0%)

rewrite98.0ms (2.7%)

simplify544.0ms (15.2%)

eval20.0ms (0.6%)

prune11.0ms (0.3%)

eval0.0ms (0%)

prune2.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes12.0ms (0.3%)

regimes16.0ms (0.4%)

bsearch52.0ms (1.4%)

simplify4.0ms (0.1%)

soundness37.0ms (1%)

end39.0ms (1.1%)

Profiling