Details

Time bar (total: 3.1s)

analyze3.0ms

Algorithm
search

sample63.0ms

Algorithm
intervals
Results
37.0ms78×body1280valid
12.0ms50×body640valid
3.0ms25×body320valid
2.0ms92×body80valid
1.0ms11×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
052
152

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 38.7b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

3.0b
(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))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(log (+ 1.0 x))

simplify42.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 3 (39.0ms)

IterNodesCost
012897
135487
2128081
3500178

prune47.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New14418
Fresh000
Picked011
Done000
Total14519

Merged error: 0.1b

Counts
19 → 5

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 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))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
70×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
36×add-cube-cbrt *-un-lft-identity
25×add-exp-log
24×unpow2 sqr-pow
17×unswap-sqr
10×prod-exp
9×div-exp
7×add-cbrt-cube
6×pow-to-exp pow-exp add-log-exp
4×pow1
3×associate-*r/ associate-*l*
2×diff-log frac-sub cbrt-unprod
1×cbrt-undiv sub-neg flip3-- flip3-+ pow-prod-down associate--l+ sum-log *-commutative flip-- flip-+ div-inv
Counts
2 → 126
Calls
2 calls:
23.0ms
(* 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))))

series11.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
5.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

simplify77.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0676880
12962757
25002753

prune261.0ms

Filtered
81 candidates to 132 candidates (-63.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1311132
Fresh033
Picked011
Done011
Total1316137

Merged error: 0.1b

Counts
137 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b
(pow (log (+ 1.0 x)) 3)
0.3b
(cbrt (pow (log (+ 1.0 x)) 3))
3.0b
(log (+ 1.0 x))

rewrite10.0ms

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:
3.0ms
(pow (log (+ 1.0 x)) 3)
2.0ms
(cbrt (pow (log (+ 1.0 x)) 3))
3.0ms
(log (+ 1.0 x))

series18.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(pow (log (+ 1.0 x)) 3)
3.0ms
(cbrt (pow (log (+ 1.0 x)) 3))
3.0ms
(log (+ 1.0 x))

simplify58.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0488495
12041469
25001445

prune119.0ms

Filtered
39 candidates to 72 candidates (-84.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New71172
Fresh123
Picked101
Done022
Total73578

Merged error: 0.1b

Counts
78 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (pow (* (cbrt (* (log (+ 1.0 x)) (log (+ 1.0 x)))) (cbrt (log (+ 1.0 x)))) 3))
3.0b
(log (+ 1.0 x))
3.0b
(log (+ 1.0 x))
3.0b
(log (+ 1.0 x))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
12×log-prod
8×cbrt-prod add-sqr-sqrt add-cube-cbrt
7×pow1 add-exp-log
6×log-div
4×add-cbrt-cube add-log-exp
3×flip3-+ rem-log-exp log-pow flip-+ distribute-lft-out
1×cube-mult unpow-prod-down pow1/3 unpow3 cube-prod rem-cbrt-cube sqr-pow
Counts
4 → 62
Calls
4 calls:
3.0ms
(cbrt (pow (* (cbrt (* (log (+ 1.0 x)) (log (+ 1.0 x)))) (cbrt (log (+ 1.0 x)))) 3))
3.0ms
(log (+ 1.0 x))
3.0ms
(log (+ 1.0 x))
3.0ms
(log (+ 1.0 x))

series13.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(cbrt (pow (* (cbrt (* (log (+ 1.0 x)) (log (+ 1.0 x)))) (cbrt (log (+ 1.0 x)))) 3))
3.0ms
(log (+ 1.0 x))
3.0ms
(log (+ 1.0 x))
3.0ms
(log (+ 1.0 x))

simplify58.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
0176597
1556558
21902387
35001370

prune174.0ms

Filtered
51 candidates to 74 candidates (-45.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New72274
Fresh022
Picked101
Done022
Total73679

Merged error: 0.1b

Counts
79 → 6

regimes205.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 22.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02111
12111

end0.0ms

analyze2.0ms

Algorithm
search

sample1.8s

Algorithm
intervals
Results
1.1s2244×body1280valid
381.0ms1624×body640valid
111.0ms864×body320valid
81.0ms2893×body80valid
27.0ms375×body160valid

Profiling

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