Details

Time bar (total: 28.3s)

sample108.0ms

Algorithm
intervals
Results
35.0ms72×body1280valid
30.0ms75×body10240exit
18.0ms55×body640valid
6.0ms26×body320valid
6.0ms91×body80valid
2.0ms12×body160valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
29
19
05

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (exp x) (- (exp x) 1))
4.1b
(- (exp x) 1)

rewrite35.0ms

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:
15.0ms
(/ (exp x) (- (exp x) 1))
18.0ms
(- (exp x) 1)

series57.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ (exp x) (- (exp x) 1))
15.0ms
(- (exp x) 1)

simplify4.2s

Counts
86 → 86
Iterations
IterNodes
46277
31634
2570
1249
0126

prune642.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (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:
12.0ms
(/ (exp x) (expm1 x))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(/ (exp x) (expm1 x))

simplify2.3s

Counts
33 → 33
Iterations
IterNodes
54609
41970
3904
2309
1116
060

prune259.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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:
10.0ms
(+ (fma 1/12 x 1/2) (/ 1 x))
0.0ms
(fma 1/12 x 1/2)

series70.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(+ (fma 1/12 x 1/2) (/ 1 x))
46.0ms
(fma 1/12 x 1/2)

simplify5.5s

Counts
37 → 37
Iterations
IterNodes
47123
31816
2421
1115
044

prune207.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- 1 (/ 1 (exp x))))
0.0b
(/ 1 (exp x))
4.1b
(- 1 (/ 1 (exp x)))

rewrite67.0ms

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:
43.0ms
(/ 1 (- 1 (/ 1 (exp x))))
7.0ms
(/ 1 (exp x))
12.0ms
(- 1 (/ 1 (exp x)))

series67.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ 1 (- 1 (/ 1 (exp x))))
9.0ms
(/ 1 (exp x))
29.0ms
(- 1 (/ 1 (exp x)))

simplify9.5s

Counts
179 → 179
Iterations
IterNodes
43553
31775
2895
1529
0256

prune1.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes69.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
14
04

end0.0ms

sample3.7s

Algorithm
intervals
Results
1.5s2544×body10240exit
1.0s2202×body1280valid
547.0ms1690×body640valid
188.0ms2864×body80valid
169.0ms841×body320valid
73.0ms405×body160valid