Details

Time bar (total: 3.0s)

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

sample69.0ms

Algorithm
intervals
Results
17.0ms112×body1280valid
7.0ms73×body640valid
2.0ms37×body320valid
1.0ms29×body160valid
0.0ms5×body80valid

simplify5.0ms

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: 58.6b

Counts
2 → 1

localize11.0ms

Local error

Found 1 expressions with local error:

58.6b
(- (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)

simplify66.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04883115
14883115

prune37.0ms

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: 0b

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)

rewrite17.0ms

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)))
4.0ms
(* x 1/6)

series14.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* x (* x (+ 1/2 (* x 1/6))))
5.0ms
(* x (+ 1/2 (* x 1/6)))
2.0ms
(* x 1/6)

simplify50.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04918560
14918560

prune73.0ms

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: 0b

Counts
76 → 3

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp x) 2)
0.0b
(pow (exp x) 3)
0.4b
(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (pow (exp x) 2) (* 1.0 (+ (exp x) 1.0))))
58.5b
(- (pow (exp x) 3) (pow 1.0 3))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
161×add-sqr-sqrt
91×*-un-lft-identity
80×difference-of-squares
75×times-frac
66×unpow-prod-down
63×cube-prod
42×sqr-pow
41×add-cube-cbrt
25×associate-/l* distribute-lft-out--
8×pow-pow
7×add-cbrt-cube
6×pow1 add-exp-log pow-unpow exp-prod add-log-exp
5×difference-cubes
3×associate-/r*
2×pow-to-exp flip3-- pow-exp associate-/r/ flip-- associate-/l/
1×cbrt-undiv cube-mult sub-neg frac-2neg flip3-+ diff-log unpow3 div-sub div-exp clear-num flip-+ div-inv unpow2 rem-cube-cbrt
Counts
4 → 200
Calls
4 calls:
3.0ms
(pow (exp x) 2)
5.0ms
(pow (exp x) 3)
19.0ms
(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (pow (exp x) 2) (* 1.0 (+ (exp x) 1.0))))
11.0ms
(- (pow (exp x) 3) (pow 1.0 3))

series33.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(pow (exp x) 2)
4.0ms
(pow (exp x) 3)
21.0ms
(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (pow (exp x) 2) (* 1.0 (+ (exp x) 1.0))))
5.0ms
(- (pow (exp x) 3) (pow 1.0 3))

simplify60.0ms

Algorithm
egg-herbie
Counts
212 → 212
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
051654891

prune314.0ms

Filtered
111 candidates to 212 candidates (-91.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2120212
Fresh011
Picked011
Done011
Total2123215

Merged error: 0b

Counts
215 → 3

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (- (exp x) 1.0))
2.7b
(exp (log (- (exp x) 1.0)))
58.6b
(- (exp x) 1.0)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
10×log-prod
6×add-cube-cbrt
5×pow1 exp-sum add-log-exp
4×add-exp-log log-div exp-prod
3×flip3-- add-cbrt-cube flip-- distribute-lft-out-- difference-of-squares
2×exp-diff log-pow
1×sub-neg diff-log rem-log-exp rem-exp-log
Counts
3 → 48
Calls
3 calls:
5.0ms
(log (- (exp x) 1.0))
5.0ms
(exp (log (- (exp x) 1.0)))
4.0ms
(- (exp x) 1.0)

series15.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(log (- (exp x) 1.0))
2.0ms
(exp (log (- (exp x) 1.0)))
2.0ms
(- (exp x) 1.0)

simplify46.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05004428

prune64.0ms

Filtered
38 candidates to 57 candidates (-50.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New57057
Fresh000
Picked011
Done022
Total57360

Merged error: 0b

Counts
60 → 3

regimes102.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01311
11311

end0.0ms

sample1.9s

Algorithm
intervals
Results
506.0ms3386×body1280valid
235.0ms2574×body640valid
69.0ms1239×body320valid
24.0ms629×body160valid
3.0ms172×body80valid

Profiling

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