Details

Time bar (total: 12.5s)

sample85.0ms

Algorithm
intervals
Results
24.0ms68×body1280valid
21.0ms83×body10240exit
14.0ms59×body640valid
4.0ms29×body320valid
3.0ms80×body80valid
2.0ms20×body160valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done8
28
17
05

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.7b

localize13.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (exp x) (- (exp x) 1.0))
4.9b
(- (exp x) 1.0)

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt *-un-lft-identity
19×add-cube-cbrt
15×times-frac
prod-diff
associate-/r* distribute-lft-out-- difference-of-squares
add-cbrt-cube add-log-exp
fma-neg add-exp-log associate-/l*
expm1-log1p-u pow1 flip3-- associate-/r/ log1p-expm1-u flip--
cbrt-undiv clear-num sub-neg frac-2neg diff-log div-exp div-inv
Counts
2 → 67
Calls
2 calls:
25.0ms
(/ (exp x) (- (exp x) 1.0))
18.0ms
(- (exp x) 1.0)

series69.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ (exp x) (- (exp x) 1.0))
20.0ms
(- (exp x) 1.0)

simplify635.0ms

Counts
73 → 73
Iterations
IterNodes
done5000
2897
1253
0117

prune313.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (* x x) 1/2 x)
0.0b
(/ (exp x) (fma (pow x 3) 1/6 (fma (* x x) 1/2 x)))
8.8b
(fma (pow x 3) 1/6 (fma (* x x) 1/2 x))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
times-frac
add-cbrt-cube
add-exp-log
expm1-log1p-u pow1 associate-/r* log1p-expm1-u associate-/l* add-log-exp
fma-udef
cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
3 → 49
Calls
3 calls:
0.0ms
(fma (* x x) 1/2 x)
15.0ms
(/ (exp x) (fma (pow x 3) 1/6 (fma (* x x) 1/2 x)))
1.0ms
(fma (pow x 3) 1/6 (fma (* x x) 1/2 x))

series198.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(fma (* x x) 1/2 x)
71.0ms
(/ (exp x) (fma (pow x 3) 1/6 (fma (* x x) 1/2 x)))
49.0ms
(fma (pow x 3) 1/6 (fma (* x x) 1/2 x))

simplify2.4s

Counts
58 → 58
Iterations
IterNodes
done5000
34336
2688
1187
097

prune293.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma 1/12 x (+ (/ 1 x) 1/2))

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(fma 1/12 x (+ (/ 1 x) 1/2))

simplify3.0s

Counts
13 → 13
Iterations
IterNodes
done5000
43846
3528
291
129
018

prune45.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (exp x))
4.9b
(- 1 (/ 1.0 (exp x)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
49×*-un-lft-identity
45×add-cube-cbrt
39×prod-diff
38×times-frac
add-cbrt-cube div-inv add-log-exp difference-of-squares
associate-/r* fma-neg add-exp-log associate-/l*
expm1-log1p-u pow1 log1p-expm1-u
cbrt-undiv clear-num sub-neg frac-2neg flip3-- diff-log div-exp flip-- distribute-lft-out--
Counts
2 → 90
Calls
2 calls:
10.0ms
(/ 1.0 (exp x))
33.0ms
(- 1 (/ 1.0 (exp x)))

series77.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(/ 1.0 (exp x))
62.0ms
(- 1 (/ 1.0 (exp x)))

simplify2.2s

Counts
96 → 96
Iterations
IterNodes
done5001
22009
1480
0188

prune219.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes61.0ms

Accuracy

94% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 11.5b

bsearch1.0ms

simplify3.0ms

Iterations
IterNodes
done18
118
015

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.1s2279×body1280valid
653.0ms2559×body10240exit
355.0ms1650×body640valid
140.0ms2830×body80valid
100.0ms824×body320valid
69.0ms417×body160valid