Details

Time bar (total: 2.0s)

analyze4.0ms

Algorithm
search

sample34.0ms

Algorithm
intervals
Results
14.0ms69×body1280valid
8.0ms68×body640valid
3.0ms28×body320valid
2.0ms78×body80valid
1.0ms13×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1133
2153
3153

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 42.9b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- (exp x) 1.0) x)
5.4b
(- (exp x) 1.0)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
associate-/l* distribute-lft-out-- difference-of-squares
add-exp-log add-cbrt-cube add-log-exp
associate-/r*
pow1 flip3-- flip-- associate-/l/
cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 52
Calls
2 calls:
7.0ms
(/ (- (exp x) 1.0) x)
4.0ms
(- (exp x) 1.0)

series7.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ (- (exp x) 1.0) x)
2.0ms
(- (exp x) 1.0)

simplify81.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0222329
1625311
22717309
35001309

prune90.0ms

Filtered
43 candidates to 58 candidates (-34.9%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New54458
Fresh000
Picked101
Done000
Total55459

Merged error: 0.0b

Counts
59 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
0.2b
(* 1/6 (pow x 2))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
associate-*r*
add-exp-log add-log-exp
add-cube-cbrt *-un-lft-identity
unpow-prod-down add-cbrt-cube unswap-sqr
associate-*l* prod-exp sum-log
pow1 unpow2 sqr-pow
+-commutative pow-to-exp associate-+r+ flip3-+ pow-exp *-commutative cbrt-unprod flip-+
Counts
2 → 40
Calls
2 calls:
8.0ms
(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
6.0ms
(* 1/6 (pow x 2))

series7.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
3.0ms
(* 1/6 (pow x 2))

simplify38.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0201222
1825201
25001198

prune70.0ms

Filtered
29 candidates to 46 candidates (-58.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New46046
Fresh033
Picked011
Done000
Total46450

Merged error: 0.0b

Counts
50 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (exp x) x)
4.7b
(- (/ (exp x) x) (/ 1.0 x))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
20×*-un-lft-identity
19×times-frac
12×add-cube-cbrt
add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
add-exp-log associate-/r* div-inv associate-/l*
pow1
cbrt-undiv sub-neg flip3-- distribute-rgt-out-- frac-2neg diff-log div-exp clear-num frac-sub flip-- sub-div
Counts
2 → 50
Calls
2 calls:
4.0ms
(/ (exp x) x)
16.0ms
(- (/ (exp x) x) (/ 1.0 x))

series9.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ (exp x) x)
5.0ms
(- (/ (exp x) x) (/ 1.0 x))

simplify69.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
0215317
1591300
22297299
35001297

prune62.0ms

Filtered
45 candidates to 56 candidates (-24.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New56056
Fresh022
Picked011
Done011
Total56460

Merged error: 0.0b

Counts
60 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (- (exp x) 1.0))
5.4b
(- (exp x) 1.0)
5.4b
(- (exp x) 1.0)
5.4b
(- (exp x) 1.0)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt *-un-lft-identity
10×add-log-exp
cbrt-prod add-cube-cbrt
pow1 add-exp-log flip3-- add-cbrt-cube flip-- distribute-lft-out-- difference-of-squares
sub-neg diff-log
cbrt-div
pow1/3
Counts
4 → 57
Calls
4 calls:
4.0ms
(cbrt (- (exp x) 1.0))
4.0ms
(- (exp x) 1.0)
4.0ms
(- (exp x) 1.0)
4.0ms
(- (exp x) 1.0)

series26.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(cbrt (- (exp x) 1.0))
2.0ms
(- (exp x) 1.0)
2.0ms
(- (exp x) 1.0)
2.0ms
(- (exp x) 1.0)

simplify211.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
0139345
1329311
2990297
34941289
45001289

prune122.0ms

Filtered
50 candidates to 69 candidates (-38.0%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New68169
Fresh011
Picked011
Done022
Total68573

Merged error: 0.0b

Counts
73 → 5

regimes44.0ms

Accuracy

98.9% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 21.0b

bsearch22.0ms

Steps
ItersRangePoint
9
-0.026714054306665708
-8.935211276683934e-11
-0.00010394522427028192

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02919
12919

end0.0ms

analyze4.0ms

Algorithm
search

sample981.0ms

Algorithm
intervals
Results
465.0ms2281×body1280valid
227.0ms1695×body640valid
79.0ms2786×body80valid
70.0ms796×body320valid
25.0ms442×body160valid

Profiling

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