Details

Time bar (total: 5.5s)

sample99.0ms

Algorithm
intervals
Results
57.0ms124×body1280valid
18.0ms74×body640valid
6.0ms222×body80nan
5.0ms38×body320valid
1.0ms13×body160valid
0.0ms7×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0186
1256
2406
3656
4986
51226
61356
71376
81376

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: 58.9b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
4.3b
(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×expm1-log1p-u flip3-- div-exp rem-log-exp flip-- log1p-expm1-u div-inv associate-/l/ add-log-exp
1×cbrt-undiv log-div frac-2neg flip3-+ clear-num log-pow flip-+
Counts
2 → 86
Calls
2 calls:
7.0ms
(/ (+ 1.0 x) (- 1.0 x))
7.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series158.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ (+ 1.0 x) (- 1.0 x))
121.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify121.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 3 (112.0ms)

IterNodesCost
0334673
11078636
24549616
35001613

prune178.0ms

Filtered
92 candidates to 62 candidates (67.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New87592
Fresh000
Picked101
Done000
Total88593

Merged error: 0.2b

Counts
93 → 5

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

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 expm1-log1p-u associate-*r/ pow-prod-down *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 112
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
115 → 115
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0532653
12211536
25002535

prune244.0ms

Filtered
115 candidates to 70 candidates (60.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1150115
Fresh044
Picked011
Done000
Total1155120

Merged error: 0.2b

Counts
120 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
0.0b
(+ (log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))) (log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
4.3b
(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))
4.3b
(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
410×add-sqr-sqrt
384×*-un-lft-identity
300×times-frac
218×log-prod
208×difference-of-squares
156×unpow-prod-down cube-prod
106×associate-+l+
104×sqr-pow
98×add-cube-cbrt
80×distribute-lft-out
65×distribute-lft-out--
25×associate-/r*
13×difference-cubes
11×pow1
10×add-exp-log
7×log-pow
6×log-div associate-/r/ add-cbrt-cube
4×expm1-log1p-u fma-def flip3-+ flip-+ log1p-expm1-u associate-/l* add-log-exp
3×associate-+r+ flip3-- rem-log-exp flip-- div-inv
2×associate-+r- div-exp associate-/l/
1×cbrt-undiv +-commutative associate-+l- frac-2neg clear-num sum-log
Counts
4 → 415
Calls
4 calls:
18.0ms
(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
33.0ms
(+ (log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))) (log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
22.0ms
(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))
6.0ms
(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series414.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
237.0ms
(+ (log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))) (log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
64.0ms
(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))
63.0ms
(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify124.0ms

Algorithm
egg-herbie
Counts
427 → 427
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
09875531
133095436
250015415

prune870.0ms

Filtered
427 candidates to 214 candidates (50.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New4252427
Fresh213
Picked101
Done101
Total4293432

Merged error: 0.0b

Counts
432 → 3

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma (pow x 3) 1.6666666666666665 (- (fma 2 (log 1.0) (* 2.0 x)) (* 1.0 (/ (pow x 3) (pow 1.0 2)))))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (pow x 3) 1.6666666666666665 (- (fma 2 (log 1.0) (* 2.0 x)) (* 1.0 (/ (pow x 3) (pow 1.0 2)))))

series84.0ms

Counts
1 → 3
Calls
1 calls:
84.0ms
(fma (pow x 3) 1.6666666666666665 (- (fma 2 (log 1.0) (* 2.0 x)) (* 1.0 (/ (pow x 3) (pow 1.0 2)))))

simplify30.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
062149
1193128
2899128
35001128

prune40.0ms

Filtered
13 candidates to 11 candidates (84.6%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New12113
Fresh022
Picked101
Done000
Total13316

Merged error: 0.0b

Counts
16 → 3

regimes17.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157
1157

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.5s3428×body1280valid
605.0ms2525×body640valid
222.0ms8036×body80nan
177.0ms1241×body320valid
53.0ms588×body160valid
9.0ms218×body80valid

Profiling

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