Details

Time bar (total: 2.6s)

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
50%25%25%3
62.5%12.5%25%4
68.7%6.2%25%5
71.8%3.1%25%6
73.4%1.6%25%7
74.2%0.8%25%8
74.6%0.4%25%9
74.8%0.2%25%10
74.9%0.1%25%11
74.9%0%25%12
74.9%0%25%13
74.9%0%25%14

sample65.0ms

Algorithm
intervals
Results
38.0ms77×body1280valid
14.0ms50×body640valid
4.0ms31×body320valid
2.0ms89×body80valid
1.0ms9×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
054
154

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 39.3b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

3.1b
(log (+ 1.0 x))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
4×log-prod *-un-lft-identity
2×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt log-div
1×flip3-+ rem-log-exp log-pow add-cbrt-cube flip-+ distribute-lft-out add-log-exp
Counts
1 → 15
Calls
1 calls:
3.0ms
(log (+ 1.0 x))

series3.0ms

Counts
1 → 3
Calls
1 calls:
3.0ms
(log (+ 1.0 x))

simplify56.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04927144
14927144

prune36.0ms

Filtered
13 candidates to 18 candidates (-38.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New15318
Fresh000
Picked011
Done000
Total15419

Merged error: 0.1b

Counts
19 → 4

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* 1.0 x) (+ (log 1.0) (* (* x x) (/ -1/2 (* 1.0 1.0)))))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
5×add-log-exp
3×sum-log
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ *-un-lft-identity flip3-+ add-cbrt-cube flip-+
Counts
1 → 13
Calls
1 calls:
7.0ms
(+ (* 1.0 x) (+ (log 1.0) (* (* x x) (/ -1/2 (* 1.0 1.0)))))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(+ (* 1.0 x) (+ (log 1.0) (* (* x x) (/ -1/2 (* 1.0 1.0)))))

simplify23.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
05264283

prune34.0ms

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New15116
Fresh022
Picked011
Done011
Total15520

Merged error: 0.1b

Counts
20 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (log (+ 1.0 x)))
3.1b
(log (+ 1.0 x))
3.1b
(log (+ 1.0 x))
3.1b
(log (+ 1.0 x))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
12×log-prod
8×pow1 add-sqr-sqrt add-cube-cbrt
7×add-exp-log
6×log-div
4×cbrt-prod log-pow add-cbrt-cube add-log-exp
3×flip3-+ rem-log-exp flip-+ distribute-lft-out
1×pow1/3
Counts
4 → 57
Calls
4 calls:
3.0ms
(cbrt (log (+ 1.0 x)))
3.0ms
(log (+ 1.0 x))
3.0ms
(log (+ 1.0 x))
3.0ms
(log (+ 1.0 x))

series20.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(cbrt (log (+ 1.0 x)))
3.0ms
(log (+ 1.0 x))
3.0ms
(log (+ 1.0 x))
3.0ms
(log (+ 1.0 x))

simplify44.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05107640

prune150.0ms

Filtered
51 candidates to 69 candidates (-35.3%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New69069
Fresh022
Picked011
Done022
Total69574

Merged error: 0.1b

Counts
74 → 5

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))
0.1b
(pow (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))) 3)
35.0b
(cbrt (pow (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))) 3))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×cbrt-prod
11×add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log unpow-prod-down cube-prod add-cbrt-cube
4×cube-div
3×pow-unpow flip3-+ associate-*r* associate-*l* flip-+ add-log-exp
2×cube-mult cbrt-div unpow3 associate-*r/ sqr-pow
1×distribute-rgt-in pow-to-exp pow-pow distribute-lft-in pow1/3 pow-prod-down pow-exp prod-exp *-commutative rem-cbrt-cube cbrt-unprod rem-cube-cbrt unswap-sqr
Counts
3 → 70
Calls
3 calls:
6.0ms
(* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))
4.0ms
(pow (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))) 3)
4.0ms
(cbrt (pow (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))) 3))

series16.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))
6.0ms
(pow (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))) 3)
4.0ms
(cbrt (pow (+ (log 1.0) (* x (+ 1.0 (* x (/ -1/2 (* 1.0 1.0)))))) 3))

simplify30.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
049961470
149961470

prune111.0ms

Filtered
47 candidates to 79 candidates (-68.1%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New79079
Fresh011
Picked011
Done033
Total79584

Merged error: 0.1b

Counts
84 → 5

regimes160.0ms

Accuracy

99% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.8b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02126
12126

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.1s2244×body1280valid
383.0ms1631×body640valid
115.0ms880×body320valid
82.0ms2839×body80valid
30.0ms406×body160valid

Profiling

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