Details

Time bar (total: 14.3s)

sample107.0ms

Algorithm
intervals
Results
35.0ms87×body10240exit
32.0ms77×body1280valid
17.0ms57×body640valid
6.0ms93×body80valid
4.0ms19×body320valid
1.0ms10×body160valid

simplify28.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.6b

localize8.0ms

Local error

Found 2 expressions with local error:

2.7b
(- (exp x) 1)
0.5b
(/ (exp x) (- (exp x) 1))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
21×times-frac add-cube-cbrt
10×difference-of-squares
9×prod-diff
7×associate-/r*
5×difference-of-sqr-1 distribute-lft-out--
4×add-cbrt-cube add-log-exp
3×fma-neg add-exp-log associate-/l*
2×expm1-log1p-u pow1 flip3-- associate-/r/ insert-posit16 log1p-expm1-u flip--
1×cbrt-undiv expm1-def clear-num sub-neg frac-2neg diff-log div-exp div-inv
Counts
2 → 80
Calls
2 calls:
Slowest
14.0ms
(/ (exp x) (- (exp x) 1))
9.0ms
(- (exp x) 1)

series70.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
51.0ms
(/ (exp x) (- (exp x) 1))
18.0ms
(- (exp x) 1)

simplify2.3s

Counts
86 → 86

prune578.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize15.0ms

Local error

Found 1 expressions with local error:

0.5b
(/ (exp x) (expm1 x))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/r* add-cbrt-cube associate-/l*
2×add-exp-log
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
Slowest
12.0ms
(/ (exp x) (expm1 x))

series51.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
51.0ms
(/ (exp x) (expm1 x))

simplify1.2s

Counts
33 → 33

prune176.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
13×fma-def
12×*-un-lft-identity
9×add-sqr-sqrt times-frac add-cube-cbrt
4×add-log-exp
2×expm1-log1p-u pow1 add-cbrt-cube add-exp-log fma-udef insert-posit16 log1p-expm1-u div-inv distribute-lft-out
1×+-commutative associate-+r+ sum-log flip3-+ flip-+
Counts
2 → 41
Calls
2 calls:
Slowest
9.0ms
(+ (/ 1 x) (fma 1/12 x 1/2))
0.0ms
(fma 1/12 x 1/2)

series65.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
46.0ms
(fma 1/12 x 1/2)
19.0ms
(+ (/ 1 x) (fma 1/12 x 1/2))

simplify3.5s

Counts
47 → 47

prune352.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

2.6b
(- 1 (/ 1 (exp x)))
0.0b
(/ 1 (exp x))
0.0b
(/ 1 (- 1 (/ 1 (exp x))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
118×add-sqr-sqrt
103×*-un-lft-identity
89×times-frac
63×add-cube-cbrt
39×prod-diff
30×difference-of-squares
14×associate-/r*
10×div-inv distribute-lft-out--
8×add-exp-log
7×add-cbrt-cube
6×associate-/l*
5×pow1 pow-flip add-log-exp
4×div-exp
3×expm1-log1p-u exp-prod fma-neg insert-posit16 log1p-expm1-u
2×cbrt-undiv rec-exp clear-num frac-2neg flip3-- 1-exp associate-/r/ flip-- inv-pow
1×sub-neg diff-log
Counts
3 → 170
Calls
3 calls:
Slowest
20.0ms
(/ 1 (- 1 (/ 1 (exp x))))
18.0ms
(- 1 (/ 1 (exp x)))
8.0ms
(/ 1 (exp x))

series436.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
404.0ms
(/ 1 (- 1 (/ 1 (exp x))))
23.0ms
(- 1 (/ 1 (exp x)))
9.0ms
(/ 1 (exp x))

simplify765.0ms

Counts
179 → 179

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.4b remaining)

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

bsearch1.0ms

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.3s2282×body1280valid
965.0ms2469×body10240exit
450.0ms1661×body640valid
167.0ms834×body320valid
154.0ms2842×body80valid
44.0ms381×body160valid