Details

Time bar (total: 3.2s)

sample63.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 25.012207%

Guaranteed chance to sample good point: 99.991861%

Results
32.0ms66×body1280valid
13.0ms59×body640valid
3.0ms96×body80valid
2.0ms18×body320valid
1.0ms17×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
052
152

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 37.6b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

4.4b
(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))

series3.0ms

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

simplify39.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 3 (36.0ms)

IterNodesCost
012897
135487
2128081
3500178

prune40.0ms

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

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New16218
Fresh000
Picked011
Done000
Total16319

Merged error: 0.0b

Counts
19 → 3

localize10.0ms

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))))

rewrite6.0ms

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))))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

simplify123.0ms

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0181250
1733231
24310220
35001220

prune45.0ms

Filtered
14 candidates to 19 candidates (-35.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New19019
Fresh011
Picked011
Done011
Total19322

Merged error: 0.0b

Counts
22 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* 1.0 x))
0.3b
(- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
15.3b
(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
16.4b
(log (+ (pow 1.0 3) (pow x 3)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity
24×log-prod
10×pow1 add-sqr-sqrt distribute-lft-out
9×associate--l+
8×add-cube-cbrt unpow-prod-down log-div cube-prod
6×add-exp-log log-pow add-log-exp
4×flip3-+ add-cbrt-cube flip-+ distribute-lft-out--
3×associate--r+
2×associate--l- sub-neg flip3-- diff-log rem-log-exp sum-cubes flip-- associate--r-
1×distribute-rgt-out-- difference-of-squares
Counts
4 → 80
Calls
4 calls:
3.0ms
(- (* x x) (* 1.0 x))
18.0ms
(- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
5.0ms
(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
12.0ms
(log (+ (pow 1.0 3) (pow x 3)))

series33.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- (* x x) (* 1.0 x))
9.0ms
(- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
4.0ms
(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
14.0ms
(log (+ (pow 1.0 3) (pow x 3)))

simplify54.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0467947
11765893
25001857

prune222.0ms

Filtered
68 candidates to 92 candidates (-35.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New91192
Fresh000
Picked101
Done022
Total92395

Merged error: 0.0b

Counts
95 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
0.6b
(exp (log (- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))))
15.3b
(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
16.4b
(log (+ (pow 1.0 3) (pow x 3)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
32×log-prod
15×pow1
14×add-sqr-sqrt
11×log-pow
10×add-cube-cbrt log-div distribute-lft-out
9×associate--l+
8×unpow-prod-down cube-prod exp-sum distribute-lft-out--
6×add-exp-log
4×exp-prod flip3-+ add-cbrt-cube flip-+ add-log-exp
3×associate--r+
2×associate--l- flip3-- exp-diff rem-log-exp sum-cubes flip-- associate--r- difference-of-squares
1×sub-neg diff-log rem-exp-log
Counts
4 → 89
Calls
4 calls:
22.0ms
(- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
5.0ms
(exp (log (- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))))
5.0ms
(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
10.0ms
(log (+ (pow 1.0 3) (pow x 3)))

series36.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
9.0ms
(exp (log (- (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))))
4.0ms
(log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))
14.0ms
(log (+ (pow 1.0 3) (pow x 3)))

simplify53.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04441295
115521223
250011139

prune272.0ms

Filtered
74 candidates to 101 candidates (-36.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New992101
Fresh000
Picked101
Done022
Total1004104

Merged error: 0.0b

Counts
104 → 4

regimes125.0ms

Accuracy

99.1% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02111
12111

end0.0ms

sample1.9s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 25.012207%

Guaranteed chance to sample good point: 99.991861%

Results
1.1s2334×body1280valid
392.0ms1638×body640valid
100.0ms777×body320valid
81.0ms2834×body80valid
31.0ms417×body160valid

Profiling

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