Details

Time bar (total: 2.8s)

sample38.0ms

Algorithm
intervals
Results
15.0ms101×body1280valid
7.0ms86×body640valid
3.0ms384×pre80true
2.0ms42×body320valid
2.0ms136×body80valid
1.0ms19×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
172
272

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.1b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

4.8b
(- (exp x) 1.0)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt *-un-lft-identity add-log-exp
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log add-cbrt-cube flip-- distribute-lft-out-- difference-of-squares
Counts
1 → 14
Calls
1 calls:
4.0ms
(- (exp x) 1.0)

series18.0ms

Counts
1 → 3
Calls
1 calls:
18.0ms
(- (exp x) 1.0)

simplify56.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
08172
118567
249966
3139966
4500266

prune35.0ms

Filtered
17 candidates to 12 candidates (70.6%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New15217
Fresh000
Picked101
Done000
Total16218

Merged error: 0.0b

Counts
18 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
0.0b
(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b
(* x 1/6)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
11×associate-*l*
10×add-exp-log
8×add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
6×associate-*r*
5×pow1 add-log-exp unswap-sqr
4×unpow-prod-down prod-exp
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ *-commutative cbrt-unprod flip-+ unpow2 sqr-pow
1×+-commutative pow-to-exp pow-prod-down pow-exp sum-log
Counts
3 → 62
Calls
3 calls:
8.0ms
(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
7.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
4.0ms
(* x 1/6)

series108.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
62.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
17.0ms
(* x 1/6)

simplify53.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0310356
11545328
25001327

prune93.0ms

Filtered
71 candidates to 47 candidates (66.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New70171
Fresh011
Picked011
Done000
Total70373

Merged error: 0.0b

Counts
73 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
0.6b
(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
0.6b
(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
0.6b
(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
17.0ms
(* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
7.0ms
(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
7.0ms
(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
9.0ms
(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))

series249.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
61.0ms
(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
58.0ms
(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
64.0ms
(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))

simplify51.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03271561
111981468
250011375

prune243.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New97299
Fresh011
Picked101
Done011
Total984102

Merged error: 0.0b

Counts
102 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
0.6b
(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
0.6b
(cbrt (- (* (pow x 2) (+ (* x 1/6) 1/2)) x))
28.1b
(cbrt (- (* (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2))) (* x x)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
2×flip3-- flip3-+ flip-- flip-+
1×difference-of-squares
Counts
4 → 53
Calls
4 calls:
7.0ms
(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
7.0ms
(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
7.0ms
(cbrt (- (* (pow x 2) (+ (* x 1/6) 1/2)) x))
14.0ms
(cbrt (- (* (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2))) (* x x)))

series272.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
60.0ms
(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
66.0ms
(cbrt (- (* (pow x 2) (+ (* x 1/6) 1/2)) x))
89.0ms
(cbrt (- (* (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2))) (* x x)))

simplify52.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03821052
11288988
25001967

prune249.0ms

Filtered
65 candidates to 62 candidates (95.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New64165
Fresh112
Picked011
Done011
Total65469

Merged error: 0.0b

Counts
69 → 4

regimes57.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample1.1s

Algorithm
intervals
Results
501.0ms3450×body1280valid
224.0ms2559×body640valid
99.0ms11873×pre80true
63.0ms1196×body320valid
47.0ms4043×body80valid
21.0ms625×body160valid

Profiling

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