Details

Time bar (total: 1.7s)

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

sample35.0ms

Algorithm
intervals
Results
17.0ms113×body1280valid
7.0ms73×body640valid
3.0ms256×pre80true
2.0ms38×body320valid
1.0ms26×body160valid
0.0ms6×body80valid

simplify2.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
044
144

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.5b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

6.7b
(- (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)

simplify43.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05297115

prune36.0ms

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: 0.0b

Counts
17 → 3

localize6.0ms

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:
8.0ms
(* x (* x (+ 1/2 (* x 1/6))))
6.0ms
(* x (+ 1/2 (* x 1/6)))
2.0ms
(* x 1/6)

simplify47.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04951560
14951560

prune70.0ms

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: 0.0b

Counts
76 → 3

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(pow (- (exp x) 1.0) 3)
0.1b
(cbrt (pow (- (exp x) 1.0) 3))
6.7b
(- (exp x) 1.0)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
16×cbrt-prod
10×unpow-prod-down cube-prod
9×add-cube-cbrt
5×distribute-lft-out-- add-log-exp difference-of-squares
4×pow1 add-exp-log cube-div add-cbrt-cube
3×pow-unpow flip3-- flip--
2×cube-mult cbrt-div unpow3 sqr-pow
1×pow-to-exp sub-neg pow-pow pow1/3 diff-log pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
3 → 69
Calls
3 calls:
5.0ms
(pow (- (exp x) 1.0) 3)
5.0ms
(cbrt (pow (- (exp x) 1.0) 3))
4.0ms
(- (exp x) 1.0)

series10.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(pow (- (exp x) 1.0) 3)
2.0ms
(cbrt (pow (- (exp x) 1.0) 3))
2.0ms
(- (exp x) 1.0)

simplify44.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04954635
14954635

prune68.0ms

Filtered
42 candidates to 78 candidates (-85.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New78078
Fresh011
Picked011
Done011
Total78381

Merged error: 0.0b

Counts
81 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

6.7b
(log (exp (- (exp x) 1.0)))
6.7b
(- (exp x) 1.0)

rewrite11.0ms

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)))
5.0ms
(- (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)

simplify47.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05168247

prune37.0ms

Filtered
26 candidates to 38 candidates (-46.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New38038
Fresh000
Picked011
Done022
Total38341

Merged error: 0.0b

Counts
41 → 3

regimes117.0ms

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

analyze2.0ms

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

sample1.1s

Algorithm
intervals
Results
539.0ms3441×body1280valid
241.0ms2520×body640valid
83.0ms8000×pre80true
77.0ms1219×body320valid
25.0ms634×body160valid
4.0ms186×body80valid

Profiling

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