Details

Time bar (total: 4.0s)

sample60.0ms

Algorithm
intervals
Results
31.0ms65×body1280valid
12.0ms51×body640valid
3.0ms103×body80valid
3.0ms23×body320valid
2.0ms109×body80nan
1.0ms14×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 36.3b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

4.0b
(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))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(log (+ 1.0 x))

simplify38.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 3 (35.0ms)

IterNodesCost
012295
132786
2116181
3500278

prune41.0ms

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: 0.3b

Counts
19 → 4

localize12.0ms

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))))

rewrite32.0ms

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:
19.0ms
(* 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))))

series95.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
46.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

simplify78.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0676882
12962760
25001756

prune244.0ms

Filtered
132 candidates to 81 candidates (61.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1293132
Fresh022
Picked011
Done011
Total1297136

Merged error: 0.3b

Counts
136 → 7

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0b
(- (+ (* 1.0 x) (log 1.0)) (log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
3.6b
(log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
75×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
42×*-un-lft-identity
39×add-cube-cbrt
26×add-exp-log
24×unpow2 sqr-pow
17×unswap-sqr
10×prod-exp
9×div-exp
8×add-cbrt-cube
7×pow1
6×pow-to-exp log-prod pow-exp add-log-exp
4×log-pow
3×associate-*l* associate--r+
2×diff-log cbrt-unprod distribute-lft-out--
1×cbrt-undiv sub-neg exp-prod flip3-- exp-to-pow associate-*r/ rem-log-exp pow-prod-down associate--l+ sum-log *-commutative flip-- div-inv difference-of-squares
Counts
3 → 144
Calls
3 calls:
20.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
12.0ms
(- (+ (* 1.0 x) (log 1.0)) (log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
2.0ms
(log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

series154.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
42.0ms
(- (+ (* 1.0 x) (log 1.0)) (log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
56.0ms
(log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

simplify69.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06451027
12724868
25001864

prune338.0ms

Filtered
153 candidates to 95 candidates (62.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1521153
Fresh044
Picked101
Done022
Total1537160

Merged error: 0.3b

Counts
160 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (- (+ (* 1.0 x) (log 1.0)) (log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))
3.6b
(log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
3.6b
(log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
3.6b
(log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-sqr-sqrt log-pow
9×log-prod
8×pow1 add-cube-cbrt
7×add-log-exp
6×cbrt-prod
4×add-exp-log add-cbrt-cube
3×exp-prod exp-to-pow rem-log-exp
2×cbrt-div distribute-lft-out--
1×flip3-- pow1/3 flip-- difference-of-squares
Counts
4 → 58
Calls
4 calls:
7.0ms
(cbrt (- (+ (* 1.0 x) (log 1.0)) (log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))
2.0ms
(log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
2.0ms
(log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
2.0ms
(log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

series388.0ms

Counts
4 → 12
Calls
4 calls:
229.0ms
(cbrt (- (+ (* 1.0 x) (log 1.0)) (log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))
55.0ms
(log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
50.0ms
(log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
54.0ms
(log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

simplify120.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (111.0ms)

IterNodesCost
0299777
11001724
24450693
35001690

prune251.0ms

Filtered
70 candidates to 55 candidates (78.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New69170
Fresh044
Picked101
Done022
Total70777

Merged error: 0.3b

Counts
77 → 7

regimes114.0ms

Accuracy

99.4% (0.1b 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
1.0s2266×body1280valid
378.0ms1636×body640valid
102.0ms843×body320valid
74.0ms2817×body80valid
51.0ms2683×body80nan
30.0ms438×body160valid

Profiling

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