Details

Time bar (total: 13.8s)

sample128.0ms

Algorithm
intervals
Results
39.0ms76×body1280valid
34.0ms79×body10240exit
17.0ms45×body640valid
17.0ms29×body320valid
7.0ms91×body80valid
2.0ms15×body160valid

simplify25.0ms

Counts
1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.1b

localize17.0ms

Local error

Found 2 expressions with local error:

3.8b
(- (exp x) 1)
0.3b
(/ (exp x) (- (exp x) 1))

rewrite46.0ms

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
26.0ms
(/ (exp x) (- (exp x) 1))
19.0ms
(- (exp x) 1)

series59.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
36.0ms
(/ (exp x) (- (exp x) 1))
23.0ms
(- (exp x) 1)

simplify2.2s

Counts
86 → 86

prune502.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ (exp x) (expm1 x))

rewrite8.0ms

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
7.0ms
(/ (exp x) (expm1 x))

series27.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
27.0ms
(/ (exp x) (expm1 x))

simplify800.0ms

Counts
33 → 33

prune489.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
6×*-un-lft-identity
4×add-log-exp
3×add-sqr-sqrt fma-def add-cube-cbrt
2×expm1-log1p-u pow1 add-cbrt-cube add-exp-log fma-udef insert-posit16 log1p-expm1-u distribute-lft-out
1×+-commutative associate-+l+ sum-log flip3-+ flip-+ div-inv
Counts
2 → 31
Calls
2 calls:
Slowest
12.0ms
(+ (fma 1/12 x 1/2) (/ 1 x))
1.0ms
(fma 1/12 x 1/2)

series62.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
39.0ms
(fma 1/12 x 1/2)
22.0ms
(+ (fma 1/12 x 1/2) (/ 1 x))

simplify2.9s

Counts
37 → 37

prune257.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

3.8b
(- 1 (/ 1 (exp x)))
0.0b
(/ 1 (- 1 (/ 1 (exp x))))
0.0b
(/ 1 (exp x))

rewrite55.0ms

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
25.0ms
(/ 1 (- 1 (/ 1 (exp x))))
12.0ms
(/ 1 (exp x))
12.0ms
(- 1 (/ 1 (exp x)))

series94.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
45.0ms
(/ 1 (- 1 (/ 1 (exp x))))
39.0ms
(- 1 (/ 1 (exp x)))
9.0ms
(/ 1 (exp x))

simplify983.0ms

Counts
179 → 179

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes62.0ms

Accuracy

97.2% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 21.7b

bsearch45.0ms

end0.0ms

sample3.7s

Algorithm
intervals
Results
1.4s2577×body10240exit
1.0s2303×body1280valid
572.0ms1590×body640valid
188.0ms2896×body80valid
173.0ms796×body320valid
81.0ms417×body160valid