Details

Time bar (total: 11.4s)

sample47.0ms

Algorithm
intervals
Results
36.0ms256×body80valid

simplify107.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
013286
155778
2262241
3500141

prune13.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.1b

Counts
2 → 2

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x x) 0.0140005442)
0.2b
(* (* x x) 0.0072644182)
16.2b
(/ 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))))))
25.8b
(/ (+ (+ (* (* 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
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:
5.0ms
(* (* x x) 0.0140005442)
6.0ms
(* (* x x) 0.0072644182)
33.0ms
(/ 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))))))
33.0ms
(/ (+ (+ (* (* 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)))))

series52.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* x x) 0.0140005442)
8.0ms
(* (* x x) 0.0072644182)
22.0ms
(/ 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))))))
19.0ms
(/ (+ (+ (* (* 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)))))

simplify166.0ms

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 1 (43.0ms)

IterNodesCost
0177614289
1500113790

prune2.9s

Filtered
231 candidates to 196 candidates (15.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New2283231
Fresh101
Picked101
Done000
Total2303233

Merged error: 0b

Counts
233 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 0.6665536072 (pow x 2)) (+ (* 0.17858401087518094 (pow x 4)) 1.0))
0.1b
(* 0.17858401087518094 (pow x 4))
0.1b
(* 0.6665536072 (pow x 2))
2.6b
(/ x (+ (* 0.6665536072 (pow x 2)) (+ (* 0.17858401087518094 (pow x 4)) 1.0)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
9×times-frac add-log-exp
8×unpow-prod-down
7×unswap-sqr
6×associate-*l* prod-exp
4×pow1 sqr-pow
3×associate-/r* sum-log associate-/l*
2×pow-to-exp flip3-+ pow-exp associate-/r/ *-commutative cbrt-unprod flip-+ unpow2
1×cbrt-undiv +-commutative associate-+r+ frac-2neg div-exp clear-num div-inv
Counts
4 → 94
Calls
4 calls:
10.0ms
(+ (* 0.6665536072 (pow x 2)) (+ (* 0.17858401087518094 (pow x 4)) 1.0))
5.0ms
(* 0.17858401087518094 (pow x 4))
5.0ms
(* 0.6665536072 (pow x 2))
8.0ms
(/ x (+ (* 0.6665536072 (pow x 2)) (+ (* 0.17858401087518094 (pow x 4)) 1.0)))

series19.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (* 0.6665536072 (pow x 2)) (+ (* 0.17858401087518094 (pow x 4)) 1.0))
4.0ms
(* 0.17858401087518094 (pow x 4))
3.0ms
(* 0.6665536072 (pow x 2))
8.0ms
(/ x (+ (* 0.6665536072 (pow x 2)) (+ (* 0.17858401087518094 (pow x 4)) 1.0)))

simplify57.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0407737
11700673
25002670

prune163.0ms

Filtered
106 candidates to 72 candidates (32.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1060106
Fresh022
Picked011
Done000
Total1063109

Merged error: 0b

Counts
109 → 3

localize56.0ms

Local error

Found 4 expressions with local error:

16.1b
(sqrt (/ (+ (+ (* (* 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))))))
16.1b
(sqrt (/ (+ (+ (* (* 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))))))
25.8b
(/ (+ (+ (* (* 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)))))
25.8b
(/ (+ (+ (* (* 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)))))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
120×associate-*r/ frac-add
102×flip3-+ flip-+
56×associate-/r/
54×sqrt-prod
40×add-sqr-sqrt
38×times-frac
34×add-cube-cbrt *-un-lft-identity
28×associate-/l/
8×add-exp-log add-cbrt-cube
6×pow1 associate-/r* associate-/l*
4×rem-sqrt-square div-inv add-log-exp
2×cbrt-undiv frac-2neg sqrt-pow1 pow1/2 sqrt-div div-exp clear-num
Counts
4 → 188
Calls
4 calls:
24.0ms
(sqrt (/ (+ (+ (* (* 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))))))
25.0ms
(sqrt (/ (+ (+ (* (* 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))))))
37.0ms
(/ (+ (+ (* (* 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)))))
33.0ms
(/ (+ (+ (* (* 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)))))

series87.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(sqrt (/ (+ (+ (* (* 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))))))
22.0ms
(sqrt (/ (+ (+ (* (* 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))))))
19.0ms
(/ (+ (+ (* (* 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)))))
24.0ms
(/ (+ (+ (* (* 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)))))

simplify142.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
0127813070
1500212526

prune5.6s

Filtered
200 candidates to 184 candidates (8.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2000200
Fresh011
Picked011
Done011
Total2003203

Merged error: 0b

Counts
203 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.2514179000665375 (/ 1 (pow x 3)))
0.1b
(* 0.15298196345929327 (/ 1 (pow x 5)))
0.2b
(/ 1 (pow x 5))
0.5b
(/ 1 (pow x 3))

rewrite47.0ms

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:
16.0ms
(* 0.2514179000665375 (/ 1 (pow x 3)))
10.0ms
(* 0.15298196345929327 (/ 1 (pow x 5)))
5.0ms
(/ 1 (pow x 5))
5.0ms
(/ 1 (pow x 3))

series15.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 0.2514179000665375 (/ 1 (pow x 3)))
4.0ms
(* 0.15298196345929327 (/ 1 (pow x 5)))
4.0ms
(/ 1 (pow x 5))
3.0ms
(/ 1 (pow x 3))

simplify71.0ms

Algorithm
egg-herbie
Counts
271 → 271
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
06311184
13260864
25001864

prune281.0ms

Filtered
271 candidates to 122 candidates (55.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2710271
Fresh000
Picked011
Done022
Total2713274

Merged error: 0b

Counts
274 → 3

regimes51.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.4b

bsearch96.0ms

Steps
ItersRangePoint
10
4.707608059920688e-11
45092590.653770424
622.8915321968495
10
-3433493854926675.5
-50.44310791104612
-5813.260387625843

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010895
110895

end0.0ms

sample1.1s

Algorithm
intervals
Results
1.0s8000×body80valid

Profiling

Loading profile data...