Details

Time bar (total: 2.2s)

sample33.0ms

Algorithm
intervals
Results
14.0ms80×body1280valid
5.0ms48×body640valid
2.0ms26×body320valid
2.0ms92×body80valid
2.0ms91×body80overflowed
0.0ms10×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
074
184
284

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: 40.8b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (exp x) (- (exp x) 1.0))
3.3b
(- (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:
7.0ms
(/ (exp x) (- (exp x) 1.0))
4.0ms
(- (exp x) 1.0)

series44.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (exp x) (- (exp x) 1.0))
15.0ms
(- (exp x) 1.0)

simplify72.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0180378
1542357
22174354
35003354

prune112.0ms

Filtered
57 candidates to 41 candidates (71.9%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New52557
Fresh000
Picked101
Done000
Total53558

Merged error: 0.0b

Counts
58 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

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×associate-*r/ associate-/r/ *-commutative cbrt-unprod unpow2 sqr-pow
1×cbrt-undiv +-commutative distribute-rgt-in pow-to-exp frac-2neg distribute-lft-in div-exp pow-prod-down pow-exp clear-num sum-log div-inv
Counts
4 → 89
Calls
4 calls:
10.0ms
(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
4.0ms
(+ (* x 1/6) 1/2)
7.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
3.0ms
(* x 1/6)

series149.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
30.0ms
(+ (* x 1/6) 1/2)
64.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
14.0ms
(* x 1/6)

simplify65.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0422672
11952620
25001618

prune178.0ms

Filtered
101 candidates to 70 candidates (69.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1010101
Fresh044
Picked011
Done000
Total1015106

Merged error: 0.0b

Counts
106 → 5

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
0.0b
(+ (* 1/12 x) (/ 1 x))
0.3b
(* 1/12 x)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
7×add-sqr-sqrt *-un-lft-identity
5×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
4×sum-log
3×associate-*r* associate-*l*
2×+-commutative flip3-+ flip-+
1×associate-+r+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 43
Calls
3 calls:
7.0ms
(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
5.0ms
(+ (* 1/12 x) (/ 1 x))
3.0ms
(* 1/12 x)

series70.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
39.0ms
(+ (* 1/12 x) (/ 1 x))
13.0ms
(* 1/12 x)

simplify108.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0200216
1705204
23820203
35002203

prune66.0ms

Filtered
52 candidates to 34 candidates (65.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New51152
Fresh033
Picked101
Done011
Total52557

Merged error: 0b

Counts
57 → 5

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- 1 (/ 1.0 (exp x))))
0.0b
(/ 1.0 (exp x))
3.4b
(- 1 (/ 1.0 (exp x)))

rewrite22.0ms

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:
9.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
4.0ms
(/ 1.0 (exp x))
7.0ms
(- 1 (/ 1.0 (exp x)))

series100.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
13.0ms
(/ 1.0 (exp x))
39.0ms
(- 1 (/ 1.0 (exp x)))

simplify41.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0310728
11324623
25002620

prune114.0ms

Filtered
106 candidates to 60 candidates (56.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1051106
Fresh123
Picked101
Done011
Total1074111

Merged error: 0b

Counts
111 → 4

regimes34.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157
1157

end0.0ms

sample925.0ms

Algorithm
intervals
Results
415.0ms2288×body1280valid
186.0ms1608×body640valid
61.0ms833×body320valid
57.0ms2851×body80valid
52.0ms2618×body80overflowed
20.0ms422×body160valid

Profiling

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