Details

Time bar (total: 6.5s)

sample106.0ms

Algorithm
intervals
Results
56.0ms116×body1280valid
23.0ms87×body640valid
8.0ms251×body80nan
6.0ms36×body320valid
1.0ms11×body160valid
0.0ms6×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0186
1256
2406
3616
4886
51046
61136
71136

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: 58.8b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
4.1b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
41×add-sqr-sqrt
40×times-frac
26×log-prod
23×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
7×add-exp-log
5×associate-/r*
4×associate-/r/ add-cbrt-cube associate-/l*
3×pow1
2×flip3-- div-exp rem-log-exp flip-- div-inv associate-/l/ add-log-exp
1×cbrt-undiv log-div frac-2neg flip3-+ clear-num log-pow flip-+
Counts
2 → 82
Calls
2 calls:
7.0ms
(/ (+ 1.0 x) (- 1.0 x))
7.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series153.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (+ 1.0 x) (- 1.0 x))
119.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify117.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0318660
11025624
24261602
35003602

prune154.0ms

Filtered
88 candidates to 58 candidates (65.9%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New84488
Fresh000
Picked101
Done000
Total85489

Merged error: 0.1b

Counts
89 → 4

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
69×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
35×add-cube-cbrt *-un-lft-identity
24×add-exp-log unpow2 sqr-pow
17×unswap-sqr
10×prod-exp
9×div-exp
6×pow-to-exp pow-exp add-cbrt-cube
3×pow1 associate-*l*
2×cbrt-unprod
1×cbrt-undiv associate-*r/ pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 110
Calls
1 calls:
20.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify52.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0528643
12205526
25001525

prune222.0ms

Filtered
113 candidates to 68 candidates (60.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1130113
Fresh033
Picked011
Done000
Total1134117

Merged error: 0.1b

Counts
117 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (log (/ (+ 1.0 x) (- 1.0 x))))
4.1b
(log (/ (+ 1.0 x) (- 1.0 x)))
4.1b
(log (/ (+ 1.0 x) (- 1.0 x)))
4.1b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
89×*-un-lft-identity
78×log-prod
60×times-frac
59×add-sqr-sqrt
35×add-cube-cbrt
15×distribute-lft-out
13×add-exp-log
12×distribute-lft-out-- difference-of-squares
8×pow1
6×rem-log-exp associate-/r/
4×cbrt-prod log-pow add-cbrt-cube add-log-exp
3×log-div flip3-- div-exp flip-- div-inv
1×pow1/3
Counts
4 → 123
Calls
4 calls:
1.0ms
(cbrt (log (/ (+ 1.0 x) (- 1.0 x))))
7.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))
7.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))
7.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series627.0ms

Counts
4 → 12
Calls
4 calls:
269.0ms
(cbrt (log (/ (+ 1.0 x) (- 1.0 x))))
118.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))
121.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))
119.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify134.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 3 (120.0ms)

IterNodesCost
03481228
110151158
243991100
350021098

prune318.0ms

Filtered
135 candidates to 89 candidates (65.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1332135
Fresh112
Picked011
Done011
Total1345139

Merged error: 0.1b

Counts
139 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (log (sqrt (+ 1.0 x))) (log (/ (sqrt (+ 1.0 x)) (- 1.0 x))))
0.0b
(/ (sqrt (+ 1.0 x)) (- 1.0 x))
3.9b
(log (sqrt (+ 1.0 x)))
4.1b
(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
148×*-un-lft-identity
108×add-sqr-sqrt
105×times-frac
96×log-prod
72×sqrt-prod
64×add-cube-cbrt
41×associate-+r+
22×distribute-lft-out distribute-lft-out-- difference-of-squares
11×pow1
10×add-exp-log
8×log-pow
7×associate-+l+ associate-/l*
6×log-div sqrt-div associate-/r/ add-cbrt-cube
5×associate-/r*
4×flip3-+ flip-+ add-log-exp
3×flip3-- rem-log-exp flip-- div-inv
2×associate-+l- div-exp associate-/l/
1×cbrt-undiv +-commutative associate-+r- frac-2neg sqrt-pow1 pow1/2 clear-num sum-log
Counts
4 → 201
Calls
4 calls:
17.0ms
(+ (log (sqrt (+ 1.0 x))) (log (/ (sqrt (+ 1.0 x)) (- 1.0 x))))
9.0ms
(/ (sqrt (+ 1.0 x)) (- 1.0 x))
4.0ms
(log (sqrt (+ 1.0 x)))
8.0ms
(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))

series690.0ms

Counts
4 → 12
Calls
4 calls:
311.0ms
(+ (log (sqrt (+ 1.0 x))) (log (/ (sqrt (+ 1.0 x)) (- 1.0 x))))
93.0ms
(/ (sqrt (+ 1.0 x)) (- 1.0 x))
81.0ms
(log (sqrt (+ 1.0 x)))
204.0ms
(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))

simplify65.0ms

Algorithm
egg-herbie
Counts
213 → 213
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
07072176
122852036
250021930

prune394.0ms

Filtered
213 candidates to 127 candidates (59.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2112213
Fresh112
Picked101
Done022
Total2135218

Merged error: 0.1b

Counts
218 → 5

regimes62.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02012
12012

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.6s3423×body1280valid
696.0ms2541×body640valid
275.0ms8152×body80nan
201.0ms1228×body320valid
61.0ms598×body160valid
10.0ms210×body80valid

Profiling

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