Details

Time bar (total: 1.9s)

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%74.6%25.4%0
0%74.6%25.4%1
37.3%37.3%25.4%2
37.3%18.7%44%3
46.7%9.3%44%4
46.7%4.7%48.7%5
49%2.3%48.7%6
49%1.2%49.8%7
49.6%0.6%49.8%8
49.9%0.3%49.8%9
49.9%0.1%50%10
49.9%0.1%50.1%11
49.9%0%50.1%12
49.9%0%50.1%13
49.9%0%50.1%14

sample37.0ms

Algorithm
intervals
Results
17.0ms109×body1280valid
7.0ms77×body640valid
3.0ms45×body320valid
3.0ms256×pre80true
1.0ms20×body160valid
0.0ms5×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0684
1684

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 59.0b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

6.0b
(- (exp x) 1.0)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt *-un-lft-identity add-log-exp
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log add-cbrt-cube flip-- distribute-lft-out-- difference-of-squares
Counts
1 → 13
Calls
1 calls:
4.0ms
(- (exp x) 1.0)

series2.0ms

Counts
1 → 3
Calls
1 calls:
2.0ms
(- (exp x) 1.0)

simplify64.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
04883115
14883115

prune34.0ms

Filtered
12 candidates to 16 candidates (-33.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New13316
Fresh000
Picked101
Done000
Total14317

Merged error: 0.1b

Counts
17 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (* x (+ 1/2 (* x 1/6))))
0.0b
(* x (+ 1/2 (* x 1/6)))
0.3b
(* x 1/6)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
9×associate-*l*
8×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×associate-*r/
5×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp cbrt-unprod
3×*-commutative add-log-exp
2×flip3-+ flip-+ unswap-sqr
Counts
3 → 64
Calls
3 calls:
6.0ms
(* x (* x (+ 1/2 (* x 1/6))))
5.0ms
(* x (+ 1/2 (* x 1/6)))
3.0ms
(* x 1/6)

series16.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* x (* x (+ 1/2 (* x 1/6))))
5.0ms
(* x (+ 1/2 (* x 1/6)))
4.0ms
(* x 1/6)

simplify47.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04918560
14918560

prune71.0ms

Filtered
48 candidates to 73 candidates (-52.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New73073
Fresh022
Picked011
Done000
Total73376

Merged error: 0.1b

Counts
76 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

6.0b
(log (exp (- (exp x) 1.0)))
6.0b
(- (exp x) 1.0)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt *-un-lft-identity
6×log-pow
5×exp-prod
4×add-cube-cbrt log-prod add-log-exp
3×pow1
2×add-exp-log sub-neg add-cbrt-cube distribute-lft-out-- difference-of-squares
1×log-div flip3-- exp-diff diff-log rem-log-exp exp-sum flip--
Counts
2 → 32
Calls
2 calls:
5.0ms
(log (exp (- (exp x) 1.0)))
4.0ms
(- (exp x) 1.0)

series4.0ms

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

simplify57.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04862247
14862247

prune46.0ms

Filtered
27 candidates to 38 candidates (-40.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New37138
Fresh011
Picked011
Done011
Total37441

Merged error: 0.1b

Counts
41 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- (pow (exp x) 2) (* 1.0 1.0)) (+ (exp x) 1.0))
0.0b
(+ (exp x) 1.0)
0.0b
(pow (exp x) 2)
5.9b
(- (pow (exp x) 2) (* 1.0 1.0))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
32×add-sqr-sqrt
28×times-frac
24×difference-of-squares
20×add-cube-cbrt
9×unpow-prod-down distribute-lft-out
8×add-log-exp
7×associate-/l* unpow2 sqr-pow
6×add-exp-log add-cbrt-cube
5×pow1
4×pow-pow associate-/r*
3×pow-unpow exp-prod
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative pow-to-exp sub-neg frac-2neg diff-log div-sub div-exp pow-exp clear-num sum-log div-inv
Counts
4 → 104
Calls
4 calls:
10.0ms
(/ (- (pow (exp x) 2) (* 1.0 1.0)) (+ (exp x) 1.0))
4.0ms
(+ (exp x) 1.0)
3.0ms
(pow (exp x) 2)
5.0ms
(- (pow (exp x) 2) (* 1.0 1.0))

series19.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(/ (- (pow (exp x) 2) (* 1.0 1.0)) (+ (exp x) 1.0))
2.0ms
(+ (exp x) 1.0)
3.0ms
(pow (exp x) 2)
6.0ms
(- (pow (exp x) 2) (* 1.0 1.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
051891315

prune122.0ms

Filtered
77 candidates to 116 candidates (-50.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1142116
Fresh101
Picked101
Done022
Total1164120

Merged error: 0.1b

Counts
120 → 4

regimes107.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01311
11311

end0.0ms

sample1.1s

Algorithm
intervals
Results
529.0ms3393×body1280valid
251.0ms2528×body640valid
91.0ms8001×pre80true
82.0ms1244×body320valid
26.0ms643×body160valid
4.0ms192×body80valid
0.0ms1×body80invalid

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