Details

Time bar (total: 3.9s)

sample1.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 53.90625%

Results
14.0ms82×body1280valid
7.0ms57×body640valid
2.0ms29×body320valid
2.0ms77×body80valid
2.0ms79×body80overflowed
1.0ms11×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
074
184
284

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 45.0b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ (exp x) (- (exp x) 1.0))
3.7b
(- (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)

series9.0ms

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

simplify66.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0180378
1542357
22174354
35003354

prune83.0ms

Filtered
41 candidates to 57 candidates (-39.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New54357
Fresh000
Picked101
Done000
Total55358

Merged error: 0.0b

Counts
58 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
12×add-exp-log
11×associate-*l*
10×add-cbrt-cube
9×times-frac
6×pow1 associate-*r* add-log-exp
5×unswap-sqr
4×unpow-prod-down prod-exp
3×flip3-+ associate-/r* flip-+ associate-/l*
2×distribute-rgt-in associate-+l+ distribute-lft-in associate-*r/ associate-/r/ *-commutative cbrt-unprod unpow2 sqr-pow
1×cbrt-undiv +-commutative pow-to-exp frac-2neg div-exp pow-prod-down pow-exp clear-num sum-log div-inv
Counts
4 → 91
Calls
4 calls:
7.0ms
(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
9.0ms
(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
7.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
3.0ms
(* x 1/6)

series21.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
8.0ms
(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
7.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
2.0ms
(* x 1/6)

simplify64.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0429745
12022685
25002683

prune132.0ms

Filtered
72 candidates to 103 candidates (-43.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1030103
Fresh022
Picked011
Done000
Total1033106

Merged error: 0.0b

Counts
106 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1/12 x) (/ 1 x))
0.3b
(* 1/12 x)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 29
Calls
2 calls:
5.0ms
(+ (* 1/12 x) (/ 1 x))
3.0ms
(* 1/12 x)

series6.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ (* 1/12 x) (/ 1 x))
2.0ms
(* 1/12 x)

simplify68.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0130122
1444109
22316108
35001108

prune37.0ms

Filtered
23 candidates to 35 candidates (-52.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New34135
Fresh011
Picked011
Done011
Total34438

Merged error: 0b

Counts
38 → 4

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (exp x))
0.0b
(/ 1 (- 1 (/ 1.0 (exp x))))
3.7b
(- 1 (/ 1.0 (exp x)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
44×*-un-lft-identity
43×times-frac
24×add-cube-cbrt
20×difference-of-squares
11×associate-/r*
8×add-exp-log
7×add-cbrt-cube
6×associate-/l*
5×distribute-lft-out-- add-log-exp
4×pow1
3×div-exp
2×cbrt-undiv flip3-- frac-2neg clear-num associate-/r/ flip-- div-inv
1×sub-neg rec-exp pow-flip diff-log 1-exp inv-pow
Counts
3 → 97
Calls
3 calls:
4.0ms
(/ 1.0 (exp x))
9.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
6.0ms
(- 1 (/ 1.0 (exp x)))

series19.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1.0 (exp x))
9.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
6.0ms
(- 1 (/ 1.0 (exp x)))

simplify36.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0310722
11324620
25002618

prune80.0ms

Filtered
60 candidates to 106 candidates (-76.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1060106
Fresh011
Picked011
Done022
Total1064110

Merged error: 0b

Counts
110 → 4

regimes56.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157
1157

end0.0ms

sample1.9s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 53.90625%

Results
396.0ms2255×body1280valid
185.0ms1645×body640valid
71.0ms2891×body80valid
66.0ms795×body320valid
57.0ms2684×body80overflowed
21.0ms419×body160valid

Profiling

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