Details

Time bar (total: 1.5s)

analyze4.0ms

Algorithm
search

sample30.0ms

Algorithm
intervals
Results
11.0ms62×body1280valid
9.0ms68×body640valid
2.0ms91×body80valid
2.0ms24×body320valid
1.0ms11×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1133
2153
3153

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 39.6b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- (exp x) 1.0) x)
2.9b
(- (exp x) 1.0)

rewrite12.0ms

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:
6.0ms
(/ (- (exp x) 1.0) x)
4.0ms
(- (exp x) 1.0)

series7.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ (- (exp x) 1.0) x)
2.0ms
(- (exp x) 1.0)

simplify80.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0222329
1625311
22717309
35001309

prune73.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New56258
Fresh000
Picked101
Done000
Total57259

Merged error: 0b

Counts
59 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
associate-*r*
add-exp-log
add-cube-cbrt unpow-prod-down *-un-lft-identity unswap-sqr
associate-*l* prod-exp add-cbrt-cube
unpow2 sqr-pow
pow1 pow-to-exp pow-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 27
Calls
1 calls:
6.0ms
(* 1/6 (pow x 2))

series3.0ms

Counts
1 → 3
Calls
1 calls:
3.0ms
(* 1/6 (pow x 2))

simplify78.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
010799
140487
2186787
3500286

prune36.0ms

Filtered
18 candidates to 30 candidates (-66.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New30030
Fresh011
Picked011
Done000
Total30232

Merged error: 0b

Counts
32 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (exp x) x)
2.6b
(- (/ (exp x) x) (/ 1.0 x))

rewrite20.0ms

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)
14.0ms
(- (/ (exp x) x) (/ 1.0 x))

series8.0ms

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

simplify70.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 3 (62.0ms)

IterNodesCost
0215317
1591300
22297299
35001297

prune48.0ms

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

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New56056
Fresh000
Picked011
Done011
Total56258

Merged error: 0b

Counts
58 → 2

regimes29.0ms

Accuracy

98.7% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.5b

bsearch25.0ms

Steps
ItersRangePoint
11
-1647397901887172.2
-3.210062527307369e-07
-0.00016398795833584486

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0249
1249

end0.0ms

analyze3.0ms

Algorithm
search

sample898.0ms

Algorithm
intervals
Results
412.0ms2196×body1280valid
209.0ms1717×body640valid
73.0ms2868×body80valid
70.0ms827×body320valid
24.0ms392×body160valid

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