Details

Time bar (total: 6.6s)

sample108.0ms

Algorithm
intervals
Results
52.0ms105×body1280valid
25.0ms86×body640valid
11.0ms294×body80nan
5.0ms31×body320valid
2.0ms23×body160valid
1.0ms11×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: 57.6b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
5.8b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite22.0ms

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:
11.0ms
(/ (+ 1.0 x) (- 1.0 x))
7.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series152.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ (+ 1.0 x) (- 1.0 x))
117.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify118.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 3 (110.0ms)

IterNodesCost
0334673
11078636
24549616
35001613

prune174.0ms

Filtered
92 candidates to 62 candidates (67.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New86692
Fresh000
Picked101
Done000
Total87693

Merged error: 0.3b

Counts
93 → 6

localize13.0ms

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 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

prune249.0ms

Filtered
115 candidates to 70 candidates (60.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1141115
Fresh055
Picked011
Done000
Total1147121

Merged error: 0.3b

Counts
121 → 7

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (/ (pow x 2) (pow 1.0 2)))
4.3b
(log (exp (* 2.0 (/ (pow x 2) (pow 1.0 2)))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
71×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
37×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
5×pow1
3×log-prod associate-*l* log-pow add-log-exp
2×expm1-log1p-u cbrt-unprod log1p-expm1-u
1×cbrt-undiv exp-prod exp-to-pow associate-*r/ rem-log-exp pow-prod-down *-commutative div-inv
Counts
2 → 128
Calls
2 calls:
21.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))
2.0ms
(log (exp (* 2.0 (/ (pow x 2) (pow 1.0 2)))))

series109.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))
53.0ms
(log (exp (* 2.0 (/ (pow x 2) (pow 1.0 2)))))

simplify58.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0552763
12239630
25001629

prune336.0ms

Filtered
134 candidates to 84 candidates (62.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1340134
Fresh055
Picked011
Done011
Total1347141

Merged error: 0.3b

Counts
141 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))) (log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
0.0b
(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
5.9b
(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))
5.9b
(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite119.0ms

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:
34.0ms
(+ (log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))) (log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
23.0ms
(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
20.0ms
(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))
6.0ms
(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series419.0ms

Counts
4 → 12
Calls
4 calls:
241.0ms
(+ (log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))) (log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
49.0ms
(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
71.0ms
(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))
57.0ms
(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify119.0ms

Algorithm
egg-herbie
Counts
427 → 427
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
09875363
133095268
250015247

prune1.1s

Filtered
427 candidates to 214 candidates (50.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New4252427
Fresh314
Picked101
Done202
Total4313434

Merged error: 0.0b

Counts
434 → 3

regimes31.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02012
12012

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.7s3416×body1280valid
715.0ms2468×body640valid
299.0ms7922×body80nan
216.0ms1231×body320valid
75.0ms675×body160valid
11.0ms210×body80valid

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