Details

Time bar (total: 8.8s)

sample51.0ms

Algorithm
intervals
Results
28.0ms256×body80valid

simplify113.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
013286
155778
2262241
3500141

prune25.0ms

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: 32.9b

Counts
2 → 2

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x))))
0.1b
(* (* x x) 0.0140005442)
16.6b
(/ 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))))))
28.5b
(/ (+ (+ (* (* 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)))))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
126×times-frac
122×associate-*r/
120×frac-add
103×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
1×distribute-rgt-in distribute-lft-in
Counts
4 → 223
Calls
4 calls:
8.0ms
(* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x))))
6.0ms
(* (* x x) 0.0140005442)
28.0ms
(/ 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)))))

series615.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x))))
33.0ms
(* (* x x) 0.0140005442)
278.0ms
(/ 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)))))

simplify165.0ms

Algorithm
egg-herbie
Counts
235 → 235
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
0184614405
1500313899

prune2.6s

Filtered
235 candidates to 200 candidates (85.1%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New2332235
Fresh101
Picked101
Done000
Total2352237

Merged error: 0b

Counts
237 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (pow x 3))
0.1b
(* 0.2514179000665375 (/ 1 (pow x 3)))
0.2b
(/ 1 (pow x 5))
0.2b
(* 0.15298196345929327 (/ 1 (pow x 5)))

rewrite43.0ms

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:
5.0ms
(/ 1 (pow x 3))
13.0ms
(* 0.2514179000665375 (/ 1 (pow x 3)))
5.0ms
(/ 1 (pow x 5))
10.0ms
(* 0.15298196345929327 (/ 1 (pow x 5)))

series182.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ 1 (pow x 3))
38.0ms
(* 0.2514179000665375 (/ 1 (pow x 3)))
51.0ms
(/ 1 (pow x 5))
55.0ms
(* 0.15298196345929327 (/ 1 (pow x 5)))

simplify70.0ms

Algorithm
egg-herbie
Counts
271 → 271
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
06311184
13260864
25002864

prune399.0ms

Filtered
271 candidates to 122 candidates (45.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2710271
Fresh011
Picked011
Done000
Total2712273

Merged error: 0b

Counts
273 → 2

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x))))
0.1b
(* (* x x) 0.0140005442)
16.6b
(/ 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)))) (/ 1 (+ (+ (* (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)))))))
28.5b
(* (+ (+ (* (* 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)))) (/ 1 (+ (+ (* (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))))))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
104×associate-*r/
100×frac-add
86×flip3-+ flip-+
44×associate-/r/
38×add-exp-log
33×associate-*r*
28×frac-times associate-*l/ add-cbrt-cube
25×add-sqr-sqrt
17×*-un-lft-identity
16×pow1 add-cube-cbrt
14×times-frac prod-exp
10×cbrt-unprod
9×div-exp
7×pow-prod-down
5×cbrt-undiv associate-*l* unswap-sqr
4×add-log-exp
3×*-commutative associate-/l*
2×rec-exp 1-exp un-div-inv div-inv
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num associate-/r*
Counts
4 → 175
Calls
4 calls:
7.0ms
(* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x))))
6.0ms
(* (* x x) 0.0140005442)
43.0ms
(/ 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)))) (/ 1 (+ (+ (* (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)))))))
39.0ms
(* (+ (+ (* (* 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)))) (/ 1 (+ (+ (* (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))))))

series639.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x))))
26.0ms
(* (* x x) 0.0140005442)
297.0ms
(/ 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)))) (/ 1 (+ (+ (* (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)))))))
216.0ms
(* (+ (+ (* (* 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)))) (/ 1 (+ (+ (* (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))))))

simplify135.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
0201210370
150029801

prune1.9s

Filtered
187 candidates to 146 candidates (78.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1870187
Fresh000
Picked011
Done011
Total1872189

Merged error: 0b

Counts
189 → 2

regimes38.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 31.8b

bsearch444.0ms

Steps
ItersRangePoint
7
144.2461487089888
2456.611191262651
668.8753909618142
10
-1.2424803593581326e+20
-9627.362198738589
-256443.21839384903

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010652
110652

end0.0ms

sample1.0s

Algorithm
intervals
Results
898.0ms8000×body80valid

Profiling

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