Details

Time bar (total: 2.5s)

sample39.0ms

Algorithm
intervals
Results
12.0ms71×body1280valid
10.0ms94×body10240exit
6.0ms53×body640valid
2.0ms27×body320valid
2.0ms95×body80valid
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

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.5b

localize7.0ms

Local error

Found 2 expressions with local error:

1.5b
(/ (exp x) (- (exp x) 1.0))
3.0b
(- (exp x) 1.0)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt *-un-lft-identity
19×add-cube-cbrt
15×times-frac
9×prod-diff
5×associate-/r* distribute-lft-out-- difference-of-squares
4×add-cbrt-cube add-log-exp
3×add-exp-log fma-neg associate-/l*
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 67
Calls
2 calls:
7.0ms
(/ (exp x) (- (exp x) 1.0))
4.0ms
(- (exp x) 1.0)

series39.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (exp x) (- (exp x) 1.0))
14.0ms
(- (exp x) 1.0)

simplify182.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (176.0ms)

IterNodesCost
0237520
1786429
24651416
35001404

prune145.0ms

Filtered
73 candidates to 50 candidates (68.5%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (exp x) (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
0.0b
(fma 1/6 (pow x 3) x)
11.6b
(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
5×add-cbrt-cube
4×add-exp-log
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×fma-udef
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 49
Calls
3 calls:
4.0ms
(/ (exp x) (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
1.0ms
(fma 1/6 (pow x 3) x)
1.0ms
(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

series139.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ (exp x) (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
72.0ms
(fma 1/6 (pow x 3) x)
30.0ms
(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

simplify90.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0178458
1614416
23125414
35002414

prune166.0ms

Filtered
58 candidates to 45 candidates (77.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (fma 1/12 x (/ 1 x)) 1/2)
0.1b
(fma 1/12 x (/ 1 x))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
5×*-un-lft-identity
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt fma-def
2×pow1 add-exp-log expm1-log1p-u add-cbrt-cube fma-udef log1p-expm1-u
1×+-commutative associate-+l+ flip3-+ sum-log flip-+ distribute-lft-out
Counts
2 → 28
Calls
2 calls:
3.0ms
(+ (fma 1/12 x (/ 1 x)) 1/2)
1.0ms
(fma 1/12 x (/ 1 x))

series60.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(+ (fma 1/12 x (/ 1 x)) 1/2)
46.0ms
(fma 1/12 x (/ 1 x))

simplify38.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 3 (35.0ms)

IterNodesCost
090126
1306119
21283117
35001116

prune61.0ms

Filtered
34 candidates to 26 candidates (76.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- 1 (/ 1.0 (exp x))))
0.0b
(/ 1.0 (exp x))
3.0b
(- 1 (/ 1.0 (exp x)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
99×add-sqr-sqrt
79×*-un-lft-identity
70×times-frac
59×add-cube-cbrt
39×prod-diff
20×difference-of-squares
11×associate-/r*
8×add-exp-log
7×add-cbrt-cube
6×associate-/l*
5×div-inv distribute-lft-out-- add-log-exp
4×pow1
3×expm1-log1p-u fma-neg div-exp log1p-expm1-u
2×cbrt-undiv flip3-- frac-2neg clear-num associate-/r/ flip--
1×sub-neg rec-exp pow-flip diff-log 1-exp inv-pow
Counts
3 → 145
Calls
3 calls:
9.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
4.0ms
(/ 1.0 (exp x))
8.0ms
(- 1 (/ 1.0 (exp x)))

series100.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
12.0ms
(/ 1.0 (exp x))
35.0ms
(- 1 (/ 1.0 (exp x)))

simplify61.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05521843
122981284
250011190

prune172.0ms

Filtered
154 candidates to 73 candidates (47.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes43.0ms

Accuracy

97.9% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 11.3b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0249
1249

end0.0ms

sample1.1s

Algorithm
intervals
Results
389.0ms2320×body1280valid
274.0ms2590×body10240exit
178.0ms1658×body640valid
60.0ms2859×body80valid
55.0ms777×body320valid
17.0ms386×body160valid