Details

Time bar (total: 2.1s)

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

sample39.0ms

Algorithm
intervals
Results
18.0ms116×body1280valid
8.0ms77×body640valid
3.0ms256×pre80true
3.0ms40×body320valid
1.0ms17×body160valid
0.0ms6×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: 58.8b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

5.1b
(- (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)

simplify65.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04883115
14883115

prune35.0ms

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

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New12416
Fresh000
Picked101
Done000
Total13417

Merged error: 0.1b

Counts
17 → 4

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)

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)

simplify48.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04918560
14918560

prune77.0ms

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

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New72173
Fresh033
Picked101
Done000
Total73477

Merged error: 0.1b

Counts
77 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp x) (+ (* x 1/6) 1/2))
0.0b
(* x (log (pow (exp x) (+ (* x 1/6) 1/2))))
0.3b
(* x 1/6)
5.1b
(log (pow (exp x) (+ (* x 1/6) 1/2)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
24×log-prod
21×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
12×unpow-prod-down
9×pow1 add-exp-log
8×distribute-rgt-in distribute-lft-in add-cbrt-cube
7×associate-*r*
6×associate-*l*
4×unpow-prod-up pow-pow add-log-exp sqr-pow
3×pow-unpow exp-prod rem-log-exp
2×pow-to-exp pow-prod-down pow-exp prod-exp log-pow *-commutative cbrt-unprod unswap-sqr
Counts
4 → 93
Calls
4 calls:
5.0ms
(pow (exp x) (+ (* x 1/6) 1/2))
6.0ms
(* x (log (pow (exp x) (+ (* x 1/6) 1/2))))
3.0ms
(* x 1/6)
3.0ms
(log (pow (exp x) (+ (* x 1/6) 1/2)))

series41.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(pow (exp x) (+ (* x 1/6) 1/2))
19.0ms
(* x (log (pow (exp x) (+ (* x 1/6) 1/2))))
2.0ms
(* x 1/6)
15.0ms
(log (pow (exp x) (+ (* x 1/6) 1/2)))

simplify70.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049731060
149731060

prune115.0ms

Filtered
63 candidates to 105 candidates (-66.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1041105
Fresh033
Picked011
Done000
Total1045109

Merged error: 0.1b

Counts
109 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x 1/6)
0.3b
(* x 1/6)
5.1b
(log (cbrt (exp x)))
5.1b
(log (cbrt (exp x)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
12×add-cube-cbrt log-prod *-un-lft-identity
10×pow1 add-exp-log
8×add-cbrt-cube
6×cbrt-prod associate-*r* associate-*l*
4×log-pow add-log-exp
2×pow1/3 rem-log-exp pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 68
Calls
4 calls:
3.0ms
(* x 1/6)
3.0ms
(* x 1/6)
2.0ms
(log (cbrt (exp x)))
2.0ms
(log (cbrt (exp x)))

series80.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* x 1/6)
2.0ms
(* x 1/6)
39.0ms
(log (cbrt (exp x)))
37.0ms
(log (cbrt (exp x)))

simplify70.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04224402
14224402

prune85.0ms

Filtered
54 candidates to 80 candidates (-48.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New80080
Fresh033
Picked011
Done011
Total80585

Merged error: 0.1b

Counts
85 → 5

regimes143.0ms

Accuracy

0% (0.5b 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
01413
11413

end0.0ms

sample1.1s

Algorithm
intervals
Results
529.0ms3313×body1280valid
250.0ms2543×body640valid
86.0ms1283×body320valid
85.0ms8000×pre80true
27.0ms665×body160valid
4.0ms196×body80valid

Profiling

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