Details

Time bar (total: 5.1s)

sample134.0ms

Algorithm
intervals
Results
73.0ms123×body1280valid
28.0ms84×body640valid
10.0ms251×body80nan
6.0ms29×body320valid
2.0ms15×body160valid
0.0ms5×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0186
1256
2406
3616
4886
51046
61136
71136

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.9b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
3.9b
(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)))

series8.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ (+ 1.0 x) (- 1.0 x))
5.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify119.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0318660
11025624
24261602
35003602

prune146.0ms

Filtered
58 candidates to 88 candidates (-51.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New86288
Fresh000
Picked011
Done000
Total86389

Merged error: 0.1b

Counts
89 → 3

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

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:
21.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series5.0ms

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

simplify50.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0528643
12205526
25001525

prune214.0ms

Filtered
68 candidates to 113 candidates (-66.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh011
Picked011
Done011
Total1133116

Merged error: 0.1b

Counts
116 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (+ 1.0 x))
0.0b
(cbrt (+ 1.0 x))
4.0b
(log (/ (cbrt (+ 1.0 x)) (- 1.0 x)))
4.0b
(log (cbrt (+ 1.0 x)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
48×log-prod
40×add-sqr-sqrt
35×times-frac
32×cbrt-prod
26×add-cube-cbrt
8×add-exp-log distribute-lft-out
7×distribute-lft-out-- difference-of-squares
6×pow1 cbrt-div
4×add-cbrt-cube add-log-exp
3×log-div flip3-+ pow1/3 rem-log-exp log-pow flip-+
2×associate-/r/
1×flip3-- div-exp flip-- div-inv
Counts
4 → 99
Calls
4 calls:
3.0ms
(cbrt (+ 1.0 x))
3.0ms
(cbrt (+ 1.0 x))
8.0ms
(log (/ (cbrt (+ 1.0 x)) (- 1.0 x)))
4.0ms
(log (cbrt (+ 1.0 x)))

series31.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cbrt (+ 1.0 x))
6.0ms
(cbrt (+ 1.0 x))
12.0ms
(log (/ (cbrt (+ 1.0 x)) (- 1.0 x)))
8.0ms
(log (cbrt (+ 1.0 x)))

simplify46.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
05371059
11597999
25002942

prune276.0ms

Filtered
84 candidates to 111 candidates (-32.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1092111
Fresh000
Picked011
Done112
Total1104114

Merged error: 0.1b

Counts
114 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (+ 1.0 x))
4.0b
(log (/ (cbrt (+ 1.0 x)) (sqrt (- 1.0 x))))
4.0b
(log (/ 1 (sqrt (- 1.0 x))))
4.0b
(log (cbrt (+ 1.0 x)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
99×log-prod
93×*-un-lft-identity
80×times-frac
73×add-sqr-sqrt
53×add-cube-cbrt
50×sqrt-prod
40×cbrt-prod
13×add-exp-log
10×distribute-lft-out distribute-lft-out-- difference-of-squares
9×pow1
8×log-pow
7×rem-log-exp
4×log-div cbrt-div sqrt-div associate-/r/ add-cbrt-cube add-log-exp
3×pow-flip div-exp
2×flip3-- flip3-+ pow1/3 flip-- flip-+ div-inv
1×rec-exp sqrt-pow1 pow1/2 1-exp log-rec inv-pow
Counts
4 → 154
Calls
4 calls:
3.0ms
(cbrt (+ 1.0 x))
10.0ms
(log (/ (cbrt (+ 1.0 x)) (sqrt (- 1.0 x))))
7.0ms
(log (/ 1 (sqrt (- 1.0 x))))
4.0ms
(log (cbrt (+ 1.0 x)))

series46.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cbrt (+ 1.0 x))
23.0ms
(log (/ (cbrt (+ 1.0 x)) (sqrt (- 1.0 x))))
7.0ms
(log (/ 1 (sqrt (- 1.0 x))))
11.0ms
(log (cbrt (+ 1.0 x)))

simplify77.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
09191891
131381804
250021730

prune513.0ms

Filtered
108 candidates to 166 candidates (-53.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1651166
Fresh011
Picked011
Done112
Total1664170

Merged error: 0.1b

Counts
170 → 4

regimes40.0ms

Accuracy

0% (0.4b 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

sample3.2s

Algorithm
intervals
Results
1.6s3342×body1280valid
709.0ms2516×body640valid
295.0ms8044×body80nan
223.0ms1290×body320valid
69.0ms648×body160valid
10.0ms204×body80valid

Profiling

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