Details

sample11.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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))

rewrite9.0ms

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:

9.0ms

(+ x (/ 1.0 3.0))

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(+ x (/ 1.0 3.0))

simplify104.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (3.0ms)

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 (26.7%)

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

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ 1.0 3.0))
0.5b	(pow (+ x (/ 1.0 3.0)) 3)
19.8b	(cbrt (pow (+ x (/ 1.0 3.0)) 3))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
14×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`unpow-prod-down` `cube-prod`
5×	`distribute-lft-out` `add-log-exp`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `sum-log` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 64

Calls

3 calls:

5.0ms	(+ x (/ 1.0 3.0))
6.0ms	(pow (+ x (/ 1.0 3.0)) 3)
6.0ms	(cbrt (pow (+ x (/ 1.0 3.0)) 3))

series7.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(+ x (/ 1.0 3.0))
2.0ms	(pow (+ x (/ 1.0 3.0)) 3)
2.0ms	(cbrt (pow (+ x (/ 1.0 3.0)) 3))

simplify32.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	204	326
1	877	311
2	5001	303

prune115.0ms

Filtered

73 candidates to 39 candidates (46.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	71	5	76

Merged error: 0b

Counts

76 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1.0 3.0))
1.0b	(pow (+ x (/ 1.0 3.0)) (sqrt 3))
1.1b	(pow (pow (+ x (/ 1.0 3.0)) (sqrt 3)) (sqrt 3))
10.4b	(cbrt (pow (pow (+ x (/ 1.0 3.0)) (sqrt 3)) (sqrt 3)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

28×	`unpow-prod-down`
22×	`*-un-lft-identity`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`cbrt-prod` `pow-unpow`
7×	`add-exp-log`
6×	`sqrt-prod` `add-log-exp`
5×	`pow1` `pow-exp` `sqr-pow`
4×	`add-cbrt-cube` `distribute-lft-out`
3×	`pow-to-exp`
2×	`pow-pow`
1×	`+-commutative` `flip3-+` `pow1/3` `sum-log` `flip-+`

Counts

4 → 80

Calls

4 calls:

5.0ms	(+ x (/ 1.0 3.0))
6.0ms	(pow (+ x (/ 1.0 3.0)) (sqrt 3))
8.0ms	(pow (pow (+ x (/ 1.0 3.0)) (sqrt 3)) (sqrt 3))
9.0ms	(cbrt (pow (pow (+ x (/ 1.0 3.0)) (sqrt 3)) (sqrt 3)))

series50.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(+ x (/ 1.0 3.0))
8.0ms	(pow (+ x (/ 1.0 3.0)) (sqrt 3))
16.0ms	(pow (pow (+ x (/ 1.0 3.0)) (sqrt 3)) (sqrt 3))
25.0ms	(cbrt (pow (pow (+ x (/ 1.0 3.0)) (sqrt 3)) (sqrt 3)))

simplify68.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	641	1091
1	2716	1001
2	5001	996

prune454.0ms

Filtered

92 candidates to 62 candidates (32.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	92	5	97

Merged error: 0b

Counts

97 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ 1.0 3.0))
0.0b	(exp (+ x (/ 1.0 3.0)))
0.8b	(log (exp (+ x (/ 1.0 3.0))))

rewrite18.0ms

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:

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

series6.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(+ x (/ 1.0 3.0))
2.0ms	(exp (+ x (/ 1.0 3.0)))
2.0ms	(log (exp (+ x (/ 1.0 3.0))))

simplify92.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (9.0ms)

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

prune89.0ms

Filtered

52 candidates to 34 candidates (34.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	52	5	57

Merged error: 0b

Counts

57 → 5

regimes68.0ms

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

sample264.0ms

Algorithm

intervals

Results

136.0ms

8000×

body

valid

Details

sample11.0ms

simplify3.0ms

prune2.0ms

localize3.0ms

rewrite9.0ms

series2.0ms

simplify104.0ms

prune24.0ms

localize6.0ms

rewrite19.0ms

series7.0ms

simplify32.0ms

prune115.0ms

localize13.0ms

rewrite30.0ms

series50.0ms

simplify68.0ms

prune454.0ms

localize6.0ms

rewrite18.0ms

series6.0ms

simplify92.0ms

prune89.0ms

regimes68.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample264.0ms

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