Details

Time bar (total: 1.5s)

sample30.0ms

Algorithm
intervals
Results
5.0ms38×body1280valid
4.0ms172×body80valid
3.0ms26×body640valid
2.0ms88×body80overflowed
1.0ms15×body320valid
0.0ms5×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
074
184
284

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 20.8b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (exp x) (- (exp x) 1.0))
1.2b
(- (exp x) 1.0)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r* distribute-lft-out-- difference-of-squares
4×add-cbrt-cube add-log-exp
3×add-exp-log associate-/l*
2×pow1 flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 51
Calls
2 calls:
6.0ms
(/ (exp x) (- (exp x) 1.0))
4.0ms
(- (exp x) 1.0)

series8.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ (exp x) (- (exp x) 1.0))
2.0ms
(- (exp x) 1.0)

simplify70.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0180378
1542357
22174354
35003354

prune69.0ms

Filtered
57 candidates to 41 candidates (28.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New54357
Fresh000
Picked101
Done000
Total55358

Merged error: 0.0b

Counts
58 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
0.1b
(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b
(* x 1/6)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
11×add-exp-log associate-*l*
9×times-frac add-cbrt-cube
6×associate-*r*
5×pow1 unswap-sqr
4×unpow-prod-down prod-exp
3×associate-/r* associate-/l* add-log-exp
2×flip3-+ associate-*r/ associate-/r/ *-commutative cbrt-unprod flip-+ unpow2 sqr-pow
1×cbrt-undiv distribute-rgt-in pow-to-exp frac-2neg distribute-lft-in div-exp pow-prod-down pow-exp clear-num div-inv
Counts
3 → 78
Calls
3 calls:
10.0ms
(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
8.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
4.0ms
(* x 1/6)

series14.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
6.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
2.0ms
(* x 1/6)

simplify59.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0401619
11835573
25002571

prune111.0ms

Filtered
87 candidates to 61 candidates (29.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New87087
Fresh022
Picked011
Done000
Total87390

Merged error: 0.0b

Counts
90 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (exp x) (log (exp (- (exp x) 1.0))))
1.2b
(log (exp (- (exp x) 1.0)))
1.2b
(- (exp x) 1.0)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt *-un-lft-identity
30×log-pow
27×times-frac
25×exp-prod
23×add-cube-cbrt
9×associate-/r*
8×pow1
6×distribute-lft-out-- difference-of-squares
5×log-prod add-cbrt-cube add-log-exp
4×add-exp-log
3×associate-/l*
2×sub-neg exp-sum
1×cbrt-undiv log-div flip3-- frac-2neg exp-diff diff-log div-exp rem-log-exp clear-num flip-- div-inv
Counts
3 → 85
Calls
3 calls:
7.0ms
(/ (exp x) (log (exp (- (exp x) 1.0))))
6.0ms
(log (exp (- (exp x) 1.0)))
4.0ms
(- (exp x) 1.0)

series11.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ (exp x) (log (exp (- (exp x) 1.0))))
2.0ms
(log (exp (- (exp x) 1.0)))
2.0ms
(- (exp x) 1.0)

simplify72.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
0232668
1632601
22395579
35002575

prune98.0ms

Filtered
94 candidates to 63 candidates (33.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New93194
Fresh011
Picked101
Done011
Total94397

Merged error: 0b

Counts
97 → 3

localize5.0ms

Local error

Found 1 expressions with local error:

1.2b
(- 1 (/ 1.0 (exp x)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
5×*-un-lft-identity
4×difference-of-squares
3×add-log-exp
2×times-frac
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log add-cbrt-cube flip-- distribute-lft-out--
Counts
1 → 17
Calls
1 calls:
7.0ms
(- 1 (/ 1.0 (exp x)))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(- 1 (/ 1.0 (exp x)))

simplify57.0ms

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0124128
1442115
21678114
35002114

prune18.0ms

Filtered
20 candidates to 13 candidates (35.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New20020
Fresh011
Picked011
Done011
Total20323

Merged error: 0b

Counts
23 → 3

regimes79.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0157
1157

end0.0ms

sample679.0ms

Algorithm
intervals
Results
155.0ms1091×body1280valid
130.0ms5450×body80valid
83.0ms845×body640valid
56.0ms2615×body80overflowed
29.0ms408×body320valid
10.0ms206×body160valid

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