Details

Time bar (total: 11.5s)

sample67.0ms

Algorithm
intervals
Results
28.0ms80×body1280valid
10.0ms45×body640valid
7.0ms174×body80valid
4.0ms26×body320valid
2.0ms12×body160valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
done15
315
213
110
05

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- (exp x) 1.0) x)
3.8b
(- (exp x) 1.0)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt *-un-lft-identity
19×add-cube-cbrt
15×times-frac
prod-diff
associate-/l* distribute-lft-out-- difference-of-squares
add-cbrt-cube add-exp-log add-log-exp
associate-/r* fma-neg
expm1-log1p-u pow1 flip3-- log1p-expm1-u flip-- associate-/l/
cbrt-undiv clear-num sub-neg frac-2neg diff-log div-sub div-exp div-inv
Counts
2 → 68
Calls
2 calls:
35.0ms
(/ (- (exp x) 1.0) x)
9.0ms
(- (exp x) 1.0)

series80.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ (- (exp x) 1.0) x)
26.0ms
(- (exp x) 1.0)

simplify2.2s

Counts
74 → 74
Iterations
IterNodes
done5000
32361
2721
1292
0127

prune284.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x (fma 1/6 x 1/2) 1)
0.1b
(fma 1/6 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
2 → 20
Calls
2 calls:
0.0ms
(fma x (fma 1/6 x 1/2) 1)
0.0ms
(fma 1/6 x 1/2)

series89.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(fma x (fma 1/6 x 1/2) 1)
64.0ms
(fma 1/6 x 1/2)

simplify2.7s

Counts
26 → 26
Iterations
IterNodes
done5000
42796
3498
2133
157
033

prune134.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)
3.8b
(- (exp x) 1.0)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
cbrt-prod prod-diff
add-log-exp
expm1-log1p-u pow1 add-cbrt-cube add-exp-log log1p-expm1-u
fma-neg pow1/3
sub-neg flip3-- diff-log flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 67
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
10.0ms
(- (exp x) 1.0)

series926.0ms

Counts
4 → 12
Calls
4 calls:
274.0ms
(cbrt x)
317.0ms
(cbrt x)
318.0ms
(cbrt x)
16.0ms
(- (exp x) 1.0)

simplify2.3s

Counts
79 → 79
Iterations
IterNodes
done5005
43148
31135
2409
1188
090

prune358.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes78.0ms

Accuracy

98.7% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 21.1b

bsearch56.0ms

Steps
ItersRangePoint
9
-0.03438460291724579
-3.2432757514909933e-09
-0.00016689112366788532

simplify2.0ms

Iterations
IterNodes
done15
115
013

end0.0ms

sample2.0s

Algorithm
intervals
Results
784.0ms1712×body640valid
619.0ms2256×body1280valid
207.0ms5394×body80valid
102.0ms830×body320valid
30.0ms402×body160valid