Details

sample9.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

prune1.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ 1.0 3.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

5.0ms

(+ x (/ 1.0 3.0))

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(+ x (/ 1.0 3.0))

simplify107.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	77	55
1	201	50
2	475	50
3	1282	50
4	3893	50
5	5002	50

prune24.0ms

Filtered

15 candidates to 11 candidates (73.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0.0b

Counts

16 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
13.8b	(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
29×	`times-frac`
24×	`*-un-lft-identity`
18×	`difference-of-squares`
14×	`add-cube-cbrt`
6×	`associate-/r*`
5×	`distribute-lft-out--`
4×	`add-exp-log` `add-cbrt-cube` `associate-/l*` `add-log-exp`
3×	`flip3--` `flip--`
2×	`pow1` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

2 → 64

Calls

2 calls:

3.0ms	(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
11.0ms	(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

series141.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
95.0ms	(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

simplify41.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	311	812
1	1364	732
2	5001	719

prune110.0ms

Filtered

70 candidates to 54 candidates (77.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	70	3	73

Merged error: 0b

Counts

73 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- x (/ 1.0 3.0)))
0.0b	(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
13.8b	(* (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (/ 1 (- x (/ 1.0 3.0))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-sqr-sqrt`
45×	`times-frac`
40×	`*-un-lft-identity`
25×	`add-cube-cbrt`
24×	`associate-r`
16×	`add-exp-log` `difference-of-squares`
10×	`add-cbrt-cube`
7×	`distribute-lft-out--`
6×	`pow1` `associate-/r*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`div-exp` `associate-l` `prod-exp` `associate-/r/`
3×	`associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 110

Calls

3 calls:

8.0ms	(/ 1 (- x (/ 1.0 3.0)))
3.0ms	(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
16.0ms	(* (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (/ 1 (- x (/ 1.0 3.0))))

series168.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ 1 (- x (/ 1.0 3.0)))
46.0ms	(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
95.0ms	(* (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (/ 1 (- x (/ 1.0 3.0))))

simplify118.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (107.0ms)

Iter	Nodes	Cost
0	405	1049
1	2699	915
2	5002	810

prune155.0ms

Filtered

119 candidates to 75 candidates (63.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	119	3	122

Merged error: 0b

Counts

122 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (+ x (/ 1.0 3.0)))
0.0b	(+ x (/ 1.0 3.0))
1.2b	(log (exp (+ x (/ 1.0 3.0))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
8×	`exp-prod` `add-log-exp`
6×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`log-pow`
4×	`pow1` `log-prod`
3×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
2×	`exp-sum` `sum-log` `rem-exp-log`
1×	`+-commutative` `flip3-+` `rem-log-exp` `flip-+`

Counts

3 → 43

Calls

3 calls:

6.0ms	(exp (+ x (/ 1.0 3.0)))
5.0ms	(+ x (/ 1.0 3.0))
6.0ms	(log (exp (+ x (/ 1.0 3.0))))

series50.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(exp (+ x (/ 1.0 3.0)))
17.0ms	(+ x (/ 1.0 3.0))
17.0ms	(log (exp (+ x (/ 1.0 3.0))))

simplify91.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	136	194
1	432	172
2	1093	170
3	3091	170
4	5001	170

prune66.0ms

Filtered

52 candidates to 35 candidates (67.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	52	3	55

Merged error: 0b

Counts

55 → 3

regimes21.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

sample212.0ms

Algorithm

intervals

Results

129.0ms

8000×

body

valid

Details

sample9.0ms

simplify4.0ms

prune1.0ms

localize3.0ms

rewrite6.0ms

series17.0ms

simplify107.0ms

prune24.0ms

localize7.0ms

rewrite16.0ms

series141.0ms

simplify41.0ms

prune110.0ms

localize8.0ms

rewrite31.0ms

series168.0ms

simplify118.0ms

prune155.0ms

localize6.0ms

rewrite19.0ms

series50.0ms

simplify91.0ms

prune66.0ms

regimes21.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample212.0ms

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