Details

Time bar (total: 3.2s)

sample64.0ms

Algorithm
intervals
Results
38.0ms79×body1280valid
10.0ms44×body640valid
3.0ms27×body320valid
3.0ms94×body80valid
2.0ms80×body80nan
1.0ms12×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
052
152

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 38.2b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

3.9b
(log (+ 1.0 x))

rewrite3.0ms

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))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(log (+ 1.0 x))

simplify41.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
012295
132786
2116181
3500278

prune37.0ms

Filtered
18 candidates to 13 candidates (72.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New15318
Fresh000
Picked011
Done000
Total15419

Merged error: 0.0b

Counts
19 → 4

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
5×add-log-exp
2×diff-log associate-*r/ frac-sub
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity flip3-+ associate--l+ sum-log add-cbrt-cube flip-- flip-+
Counts
1 → 16
Calls
1 calls:
6.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

simplify126.0ms

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0181250
1733231
24310220
35001220

prune49.0ms

Filtered
19 candidates to 14 candidates (73.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New18119
Fresh022
Picked011
Done011
Total18523

Merged error: 0.0b

Counts
23 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.2b
(cbrt (pow (log (+ 1.0 x)) 3))
0.3b
(pow (log (+ 1.0 x)) 3)
3.9b
(log (+ 1.0 x))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
12×*-un-lft-identity
10×add-sqr-sqrt add-cube-cbrt
9×pow1
8×unpow-prod-down cube-prod
5×add-exp-log log-pow
4×log-prod add-cbrt-cube
3×pow-unpow add-log-exp
2×cube-mult log-div unpow3 sqr-pow
1×pow-to-exp pow-pow flip3-+ pow1/3 rem-log-exp pow-exp rem-cbrt-cube flip-+ distribute-lft-out rem-cube-cbrt
Counts
3 → 63
Calls
3 calls:
2.0ms
(cbrt (pow (log (+ 1.0 x)) 3))
2.0ms
(pow (log (+ 1.0 x)) 3)
3.0ms
(log (+ 1.0 x))

series176.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(cbrt (pow (log (+ 1.0 x)) 3))
91.0ms
(pow (log (+ 1.0 x)) 3)
44.0ms
(log (+ 1.0 x))

simplify46.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0396444
11597423
25001406

prune104.0ms

Filtered
72 candidates to 40 candidates (55.6%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New72072
Fresh022
Picked011
Done022
Total72577

Merged error: 0.0b

Counts
77 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
0.0b
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
0.1b
(* (sqrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (sqrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
40×sqrt-div
28×associate-*r/
24×frac-sub
23×add-sqr-sqrt
18×pow1 sqrt-prod
16×frac-times
12×flip3-- flip3-+ flip-- flip-+
11×add-cube-cbrt *-un-lft-identity add-log-exp
8×sqrt-pow1 pow1/2 swap-sqr
6×associate-*r* associate-*l*
5×add-exp-log pow-prod-up add-cbrt-cube
4×diff-log associate-*l/ unswap-sqr
3×pow-prod-down pow-sqr
2×sub-neg associate--l+ sum-log
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
3 → 105
Calls
3 calls:
6.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
6.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
16.0ms
(* (sqrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (sqrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

series129.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
40.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
46.0ms
(* (sqrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (sqrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

simplify61.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
03052263
112722130
250022061

prune242.0ms

Filtered
114 candidates to 63 candidates (55.3%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1140114
Fresh011
Picked011
Done033
Total1145119

Merged error: 0.0b

Counts
119 → 5

regimes90.0ms

Accuracy

99% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.6b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02111
12111

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.0s2237×body1280valid
377.0ms1680×body640valid
103.0ms846×body320valid
79.0ms2801×body80valid
50.0ms2663×body80nan
31.0ms436×body160valid

Profiling

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