Details

Time bar (total: 3.1s)

analyze2.0ms

Algorithm
search

sample57.0ms

Algorithm
intervals
Results
33.0ms70×body1280valid
11.0ms50×body640valid
4.0ms33×body320valid
2.0ms95×body80valid
1.0ms8×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: 37.8b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

2.4b
(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

prune35.0ms

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 2 expressions with local error:

0.0b
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
0.0b
(* 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:
6.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
19.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))

series10.0ms

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

simplify77.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0676880
12962757
25001753

prune216.0ms

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

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1320132
Fresh011
Picked011
Done011
Total1323135

Merged error: 0.0b

Counts
135 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)))
1.2b
(log (- (* 1.0 1.0) (* x x)))
2.4b
(log (- 1.0 x))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
18×log-prod
15×*-un-lft-identity
13×add-sqr-sqrt
9×pow1
8×log-div
7×add-cube-cbrt
6×log-pow distribute-lft-out--
5×add-exp-log flip3-- flip-- associate--r+ difference-of-squares
4×associate--l+
3×add-cbrt-cube add-log-exp
2×associate--l- rem-log-exp associate--r-
1×sub-neg diff-log
Counts
3 → 61
Calls
3 calls:
9.0ms
(- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)))
3.0ms
(log (- (* 1.0 1.0) (* x x)))
3.0ms
(log (- 1.0 x))

series19.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)))
9.0ms
(log (- (* 1.0 1.0) (* x x)))
3.0ms
(log (- 1.0 x))

simplify178.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (170.0ms)

IterNodesCost
0361557
11160525
24983479
35002469

prune112.0ms

Filtered
55 candidates to 70 candidates (-27.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New69170
Fresh000
Picked101
Done022
Total70373

Merged error: 0.0b

Counts
73 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

6.8b
(log (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x)))))
11.8b
(cbrt (- (* 1.0 1.0) (* x x)))
11.8b
(cbrt (- (* 1.0 1.0) (* x x)))
11.8b
(cbrt (- (* 1.0 1.0) (* x x)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
12×pow1 cbrt-prod
9×flip3-- pow1/3 log-pow flip--
8×log-div
7×add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×frac-times add-cbrt-cube add-log-exp
3×difference-of-squares
2×associate-*r/ rem-log-exp pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 log-prod pow-plus prod-exp
Counts
4 → 69
Calls
4 calls:
9.0ms
(log (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x)))))
3.0ms
(cbrt (- (* 1.0 1.0) (* x x)))
3.0ms
(cbrt (- (* 1.0 1.0) (* x x)))
3.0ms
(cbrt (- (* 1.0 1.0) (* x x)))

series58.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(log (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x)))))
12.0ms
(cbrt (- (* 1.0 1.0) (* x x)))
13.0ms
(cbrt (- (* 1.0 1.0) (* x x)))
12.0ms
(cbrt (- (* 1.0 1.0) (* x x)))

simplify142.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 3 (131.0ms)

IterNodesCost
03341008
11132916
24604886
35001884

prune253.0ms

Filtered
71 candidates to 81 candidates (-14.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New81081
Fresh000
Picked011
Done022
Total81384

Merged error: 0.0b

Counts
84 → 3

regimes95.0ms

Accuracy

99% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02111
12111

end0.0ms

analyze2.0ms

Algorithm
search

sample1.7s

Algorithm
intervals
Results
1.0s2230×body1280valid
368.0ms1629×body640valid
101.0ms862×body320valid
74.0ms2846×body80valid
32.0ms433×body160valid

Profiling

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