Details

Time bar (total: 8.2s)

sample63.0ms

Algorithm
intervals
Results
20.0ms64×body1280valid
11.0ms54×body640valid
7.0ms166×body80valid
5.0ms34×body320valid
1.0ms13×body160valid

simplify32.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
1106
2136
3156
done156

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.6b

localize15.0ms

Local error

Found 1 expressions with local error:

3.8b
(- (exp x) 1.0)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity
prod-diff
add-cube-cbrt
fma-neg add-log-exp
pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out-- difference-of-squares
Counts
1 → 28
Calls
1 calls:
22.0ms
(- (exp x) 1.0)

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(- (exp x) 1.0)

simplify2.2s

Counts
31 → 31
Iterations

Useful iterations: done (2.2s)

IterNodesCost
066376
1150291
2425231
32023186
done5001175

prune147.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (pow x 2) (fma x 1/6 1/2) x)
0.1b
(fma x 1/6 1/2)
3.7b
(/ (fma (pow x 2) (fma x 1/6 1/2) x) x)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube
pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
fma-udef
cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 49
Calls
3 calls:
1.0ms
(fma (pow x 2) (fma x 1/6 1/2) x)
1.0ms
(fma x 1/6 1/2)
19.0ms
(/ (fma (pow x 2) (fma x 1/6 1/2) x) x)

series206.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(fma (pow x 2) (fma x 1/6 1/2) x)
70.0ms
(fma x 1/6 1/2)
84.0ms
(/ (fma (pow x 2) (fma x 1/6 1/2) x) x)

simplify2.9s

Counts
58 → 58
Iterations

Useful iterations: done (2.9s)

IterNodesCost
084809
1150783
2480717
32649709
done5000703

prune324.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes105.0ms

Accuracy

99% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 21.5b

bsearch45.0ms

Steps
ItersRangePoint
9
-4.26929226401081
-3.26160511802404e-08
-0.0001767842498543489

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01521
done1521

end0.0ms

sample2.1s

Algorithm
intervals
Results
797.0ms2256×body1280valid
398.0ms1657×body640valid
357.0ms5537×body80valid
165.0ms858×body320valid
36.0ms406×body160valid