Details

Time bar (total: 9.2s)

sample53.0ms

Algorithm
intervals
Results
28.0ms256×body80valid

simplify107.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
013286
155778
2262241
3500141

prune23.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 29.4b

Counts
2 → 2

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x x) 0.0001789971)
0.1b
(* (* x x) 0.0140005442)
13.8b
(/ x (/ (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442)))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ 1.0 (* 0.1049934947 (* x x)))) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182))))))
25.4b
(/ (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442)))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ 1.0 (* 0.1049934947 (* x x)))) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182)))))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
126×times-frac
120×associate-*r/ frac-add
102×flip3-+ flip-+
72×add-sqr-sqrt
71×associate-/r/
70×add-cube-cbrt *-un-lft-identity
30×associate-/r*
21×add-exp-log add-cbrt-cube
14×pow1 associate-/l/
6×associate-*r* pow-prod-down prod-exp cbrt-unprod div-inv associate-/l*
4×cbrt-undiv div-exp add-log-exp
2×frac-2neg associate-*l* clear-num *-commutative unswap-sqr
Counts
4 → 219
Calls
4 calls:
6.0ms
(* (* x x) 0.0001789971)
6.0ms
(* (* x x) 0.0140005442)
34.0ms
(/ x (/ (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442)))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ 1.0 (* 0.1049934947 (* x x)))) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182))))))
34.0ms
(/ (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442)))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ 1.0 (* 0.1049934947 (* x x)))) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182)))))

series523.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (* x x) 0.0001789971)
24.0ms
(* (* x x) 0.0140005442)
269.0ms
(/ x (/ (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442)))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ 1.0 (* 0.1049934947 (* x x)))) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182))))))
205.0ms
(/ (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442)))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ 1.0 (* 0.1049934947 (* x x)))) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182)))))

simplify169.0ms

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
0177614289
1500113790

prune2.4s

Filtered
231 candidates to 196 candidates (84.8%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New2283231
Fresh101
Picked101
Done000
Total2303233

Merged error: 0.0b

Counts
233 → 3

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x x) (* 2.0 0.0001789971))
0.1b
(* (* x x) 0.0140005442)
13.6b
(* x (/ 1 (/ (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442)))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ 1.0 (* 0.1049934947 (* x x)))) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182)))))))
25.4b
(/ (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442)))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ 1.0 (* 0.1049934947 (* x x)))) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182)))))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
123×times-frac
101×associate-*r/
100×frac-add
90×associate-*r*
85×flip3-+ flip-+
78×add-sqr-sqrt
65×*-un-lft-identity
63×add-cube-cbrt
57×associate-/r/
42×add-exp-log
32×add-cbrt-cube
23×pow1
18×prod-exp
14×cbrt-unprod associate-/l/
12×pow-prod-down
8×div-exp
6×unswap-sqr
5×associate-*l* div-inv
4×cbrt-undiv add-log-exp
3×associate-/r* *-commutative associate-/l*
2×rec-exp 1-exp
1×frac-2neg clear-num un-div-inv
Counts
4 → 211
Calls
4 calls:
7.0ms
(* (* x x) (* 2.0 0.0001789971))
6.0ms
(* (* x x) 0.0140005442)
51.0ms
(* x (/ 1 (/ (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442)))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ 1.0 (* 0.1049934947 (* x x)))) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182)))))))
35.0ms
(/ (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442)))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ 1.0 (* 0.1049934947 (* x x)))) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182)))))

series538.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (* x x) (* 2.0 0.0001789971))
24.0ms
(* (* x x) 0.0140005442)
271.0ms
(* x (/ 1 (/ (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442)))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ 1.0 (* 0.1049934947 (* x x)))) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182)))))))
211.0ms
(/ (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442)))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ 1.0 (* 0.1049934947 (* x x)))) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182)))))

simplify138.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
0184210798
1500210478

prune2.1s

Filtered
223 candidates to 176 candidates (78.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2230223
Fresh022
Picked011
Done000
Total2233226

Merged error: 0.0b

Counts
226 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1.0 x) (* 0.265709700396151 (pow x 5)))
0.1b
(* 0.265709700396151 (pow x 5))
0.1b
(* 0.6665536072 (pow x 3))
19.7b
(- (+ (* 1.0 x) (* 0.265709700396151 (pow x 5))) (* 0.6665536072 (pow x 3)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×associate-*r*
14×add-exp-log
11×add-cube-cbrt *-un-lft-identity add-log-exp
8×unpow-prod-down add-cbrt-cube
7×unswap-sqr
6×associate-*l* prod-exp
4×pow1 cube-prod sqr-pow
2×pow-to-exp diff-log pow-exp sum-log *-commutative cbrt-unprod
1×+-commutative cube-mult sub-neg flip3-- flip3-+ unpow3 associate--l+ flip-- flip-+
Counts
4 → 81
Calls
4 calls:
4.0ms
(+ (* 1.0 x) (* 0.265709700396151 (pow x 5)))
5.0ms
(* 0.265709700396151 (pow x 5))
11.0ms
(* 0.6665536072 (pow x 3))
6.0ms
(- (+ (* 1.0 x) (* 0.265709700396151 (pow x 5))) (* 0.6665536072 (pow x 3)))

series290.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(+ (* 1.0 x) (* 0.265709700396151 (pow x 5)))
52.0ms
(* 0.265709700396151 (pow x 5))
43.0ms
(* 0.6665536072 (pow x 3))
62.0ms
(- (+ (* 1.0 x) (* 0.265709700396151 (pow x 5))) (* 0.6665536072 (pow x 3)))

simplify53.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0335472
11447443
25001439

prune168.0ms

Filtered
93 candidates to 59 candidates (63.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New93093
Fresh011
Picked011
Done011
Total93396

Merged error: 0.0b

Counts
96 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.15298196345929327 (/ 1 (pow x 5)))
0.1b
(* 0.2514179000665375 (/ 1 (pow x 3)))
0.1b
(/ 1 (pow x 3))
0.3b
(/ 1 (pow x 5))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
128×times-frac
118×add-sqr-sqrt
90×*-un-lft-identity
83×add-cube-cbrt
65×associate-*r*
62×add-exp-log
46×unpow-prod-down
24×div-exp
23×cube-prod
20×prod-exp
19×associate-/r*
18×add-cbrt-cube sqr-pow
16×unswap-sqr
12×pow-to-exp rec-exp 1-exp pow-exp
8×pow1
7×cube-mult unpow3
6×associate-*l* associate-/l*
4×cbrt-undiv cbrt-unprod div-inv add-log-exp
2×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 259
Calls
4 calls:
10.0ms
(* 0.15298196345929327 (/ 1 (pow x 5)))
13.0ms
(* 0.2514179000665375 (/ 1 (pow x 3)))
5.0ms
(/ 1 (pow x 3))
5.0ms
(/ 1 (pow x 5))

series367.0ms

Counts
4 → 12
Calls
4 calls:
247.0ms
(* 0.15298196345929327 (/ 1 (pow x 5)))
42.0ms
(* 0.2514179000665375 (/ 1 (pow x 3)))
30.0ms
(/ 1 (pow x 3))
48.0ms
(/ 1 (pow x 5))

simplify72.0ms

Algorithm
egg-herbie
Counts
271 → 271
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
06311184
13260864
25002864

prune365.0ms

Filtered
271 candidates to 122 candidates (45.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2710271
Fresh000
Picked011
Done022
Total2713274

Merged error: 0.0b

Counts
274 → 3

regimes38.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.6b

bsearch450.0ms

Steps
ItersRangePoint
10
2.2826621327002547e-07
125321.6248081686
653.5837931849323
9
-650632332.7510262
-11.514549394350572
-744.7542901048419

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010652
110652

end0.0ms

sample1.0s

Algorithm
intervals
Results
905.0ms8000×body80valid

Profiling

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