Details

Time bar (total: 11.0s)

sample96.0ms

Algorithm
intervals
Results
39.0ms87×body10240exit
27.0ms84×body1280valid
13.0ms54×body640valid
4.0ms80×body80valid
4.0ms25×body320valid
1.0ms13×body160valid

simplify13.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.3b

localize8.0ms

Local error

Found 2 expressions with local error:

4.2b
(- (exp x) 1)
0.5b
(/ (exp x) (- (exp x) 1))

rewrite43.0ms

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))
16.0ms
(- (exp x) 1)

series57.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
30.0ms
(- (exp x) 1)
26.0ms
(/ (exp x) (- (exp x) 1))

simplify642.0ms

Counts
121 → 86

prune642.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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))

series45.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
45.0ms
(/ (exp x) (expm1 x))

simplify867.0ms

Counts
43 → 33

prune265.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma 1/12 x (/ 1 x))

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 11
Calls
1 calls:
Slowest
0.0ms
(fma 1/12 x (/ 1 x))

series61.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
61.0ms
(fma 1/12 x (/ 1 x))

simplify2.6s

Counts
14 → 14

prune85.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

29.4b
(cbrt (* (* (/ (exp x) (expm1 x)) (/ (exp x) (expm1 x))) (/ (exp x) (expm1 x))))
0.5b
(/ (exp x) (expm1 x))
0.5b
(/ (exp x) (expm1 x))
0.5b
(/ (exp x) (expm1 x))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
27×times-frac
10×add-cbrt-cube
9×associate-/r* associate-/l*
7×cbrt-div add-exp-log
5×frac-times associate-*l/
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv clear-num frac-2neg div-exp associate-*r/ div-inv
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 110
Calls
4 calls:
Slowest
75.0ms
(cbrt (* (* (/ (exp x) (expm1 x)) (/ (exp x) (expm1 x))) (/ (exp x) (expm1 x))))
10.0ms
(/ (exp x) (expm1 x))
7.0ms
(/ (exp x) (expm1 x))
6.0ms
(/ (exp x) (expm1 x))

series134.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
42.0ms
(cbrt (* (* (/ (exp x) (expm1 x)) (/ (exp x) (expm1 x))) (/ (exp x) (expm1 x))))
32.0ms
(/ (exp x) (expm1 x))
31.0ms
(/ (exp x) (expm1 x))
30.0ms
(/ (exp x) (expm1 x))

simplify397.0ms

Counts
158 → 122

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes29.0ms

Accuracy

97.3% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 21.2b

bsearch38.0ms

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.6s2561×body10240exit
1.1s2286×body1280valid
581.0ms1695×body640valid
177.0ms2833×body80valid
154.0ms779×body320valid
55.0ms409×body160valid