Details

Time bar (total: 3.1s)

sample60.0ms

Algorithm
intervals
Results
30.0ms64×body1280valid
13.0ms54×body640valid
4.0ms29×body320valid
3.0ms98×body80valid
1.0ms57×body80nan
1.0ms11×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: 37.1b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

3.8b
(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))

series3.0ms

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

simplify42.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 3 (39.0ms)

IterNodesCost
012897
135487
2128081
3500178

prune37.0ms

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

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))))

rewrite35.0ms

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:
21.0ms
(* 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))))

series15.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
10.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

simplify80.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0676880
12962757
25002753

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

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 1.0 1.0) (* x x))
0.0b
(- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)))
2.0b
(log (- (* 1.0 1.0) (* x x)))
4.0b
(log (- 1.0 x))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
18×log-prod
16×*-un-lft-identity
14×add-sqr-sqrt
10×pow1
8×add-cube-cbrt log-div
6×add-exp-log flip3-- log-pow flip-- distribute-lft-out-- add-log-exp difference-of-squares
5×associate--r+
4×associate--l+ add-cbrt-cube
2×associate--l- sub-neg diff-log rem-log-exp associate--r-
Counts
4 → 74
Calls
4 calls:
3.0ms
(- (* 1.0 1.0) (* x x))
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))

series24.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(- (* 1.0 1.0) (* x x))
8.0ms
(- (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))

simplify39.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0377637
11224594
25001551

prune134.0ms

Filtered
67 candidates to 86 candidates (-28.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New85186
Fresh000
Picked101
Done022
Total86389

Merged error: 0.0b

Counts
89 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (log (sqrt (- (* 1.0 1.0) (* x x)))) (log (sqrt (- (* 1.0 1.0) (* x x))))) (log (- 1.0 x)))
2.0b
(log (sqrt (- (* 1.0 1.0) (* x x))))
2.0b
(log (sqrt (- (* 1.0 1.0) (* x x))))
4.0b
(log (- 1.0 x))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
24×log-prod
22×pow1
20×log-pow
16×add-sqr-sqrt
12×log-div distribute-lft-out--
10×add-cube-cbrt
8×sqrt-div sqrt-prod distribute-lft-out
7×add-exp-log flip3-- flip--
5×associate--r+ add-log-exp difference-of-squares
4×associate--l- add-cbrt-cube
3×rem-log-exp
2×associate-+l- associate-+r- sqrt-pow1 pow1/2 diff-log associate--r-
1×sub-neg associate--l+ sum-log
Counts
4 → 92
Calls
4 calls:
22.0ms
(- (+ (log (sqrt (- (* 1.0 1.0) (* x x)))) (log (sqrt (- (* 1.0 1.0) (* x x))))) (log (- 1.0 x)))
5.0ms
(log (sqrt (- (* 1.0 1.0) (* x x))))
4.0ms
(log (sqrt (- (* 1.0 1.0) (* x x))))
3.0ms
(log (- 1.0 x))

series33.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (+ (log (sqrt (- (* 1.0 1.0) (* x x)))) (log (sqrt (- (* 1.0 1.0) (* x x))))) (log (- 1.0 x)))
9.0ms
(log (sqrt (- (* 1.0 1.0) (* x x))))
10.0ms
(log (sqrt (- (* 1.0 1.0) (* x x))))
3.0ms
(log (- 1.0 x))

simplify50.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04521182
11544972
25001916

prune214.0ms

Filtered
75 candidates to 104 candidates (-38.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1031104
Fresh000
Picked101
Done022
Total1043107

Merged error: 0.0b

Counts
107 → 3

regimes99.0ms

Accuracy

98.1% (0.4b remaining)

Error of 0.5b 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
Results
1.1s2276×body1280valid
392.0ms1694×body640valid
101.0ms790×body320valid
76.0ms2841×body80valid
48.0ms2627×body80nan
29.0ms399×body160valid

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