Details

Time bar (total: 3.5s)

sample42.0ms

Algorithm
intervals
Results
33.0ms256×body80valid

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
0493873
1493873

prune15.0ms

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: 31.1b

Counts
2 → 2

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (* x 0.7715471019))
0.4b
(* 0.1049934947 (* x x))
16.8b
(* x (/ (+ 1.0 (+ (* 0.1049934947 (* x x)) (+ (* 0.0424060604 (pow x 4)) (+ (* 0.0072644182 (pow x 6)) (+ (* 0.0005064034 (pow x 8)) (* 0.0001789971 (pow x 10))))))) (+ 1.0 (+ (+ (* x (* x 0.7715471019)) (* (pow x 4) 0.2909738639)) (+ (* (pow x 6) 0.0694555761) (+ (* (pow x 8) 0.0140005442) (+ (* (pow x 10) 0.0008327945) (* 0.0001789971 (* 2.0 (pow x 12))))))))))
30.6b
(/ (+ 1.0 (+ (* 0.1049934947 (* x x)) (+ (* 0.0424060604 (pow x 4)) (+ (* 0.0072644182 (pow x 6)) (+ (* 0.0005064034 (pow x 8)) (* 0.0001789971 (pow x 10))))))) (+ 1.0 (+ (+ (* x (* x 0.7715471019)) (* (pow x 4) 0.2909738639)) (+ (* (pow x 6) 0.0694555761) (+ (* (pow x 8) 0.0140005442) (+ (* (pow x 10) 0.0008327945) (* 0.0001789971 (* 2.0 (pow x 12)))))))))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
95×*-un-lft-identity
41×times-frac
38×distribute-lft-out
34×add-sqr-sqrt
28×add-cube-cbrt associate-*r*
21×add-exp-log add-cbrt-cube
16×pow1
9×associate-*l*
8×prod-exp cbrt-unprod
7×pow-prod-down
5×associate-/r*
4×associate-/r/ associate-/l* add-log-exp
3×flip3-+ *-commutative flip-+ unswap-sqr
2×cbrt-undiv div-exp div-inv associate-/l/
1×frac-2neg associate-*r/ clear-num
Counts
4 → 127
Calls
4 calls:
5.0ms
(* x (* x 0.7715471019))
5.0ms
(* 0.1049934947 (* x x))
33.0ms
(* x (/ (+ 1.0 (+ (* 0.1049934947 (* x x)) (+ (* 0.0424060604 (pow x 4)) (+ (* 0.0072644182 (pow x 6)) (+ (* 0.0005064034 (pow x 8)) (* 0.0001789971 (pow x 10))))))) (+ 1.0 (+ (+ (* x (* x 0.7715471019)) (* (pow x 4) 0.2909738639)) (+ (* (pow x 6) 0.0694555761) (+ (* (pow x 8) 0.0140005442) (+ (* (pow x 10) 0.0008327945) (* 0.0001789971 (* 2.0 (pow x 12))))))))))
30.0ms
(/ (+ 1.0 (+ (* 0.1049934947 (* x x)) (+ (* 0.0424060604 (pow x 4)) (+ (* 0.0072644182 (pow x 6)) (+ (* 0.0005064034 (pow x 8)) (* 0.0001789971 (pow x 10))))))) (+ 1.0 (+ (+ (* x (* x 0.7715471019)) (* (pow x 4) 0.2909738639)) (+ (* (pow x 6) 0.0694555761) (+ (* (pow x 8) 0.0140005442) (+ (* (pow x 10) 0.0008327945) (* 0.0001789971 (* 2.0 (pow x 12)))))))))

series51.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* x (* x 0.7715471019))
3.0ms
(* 0.1049934947 (* x x))
23.0ms
(* x (/ (+ 1.0 (+ (* 0.1049934947 (* x x)) (+ (* 0.0424060604 (pow x 4)) (+ (* 0.0072644182 (pow x 6)) (+ (* 0.0005064034 (pow x 8)) (* 0.0001789971 (pow x 10))))))) (+ 1.0 (+ (+ (* x (* x 0.7715471019)) (* (pow x 4) 0.2909738639)) (+ (* (pow x 6) 0.0694555761) (+ (* (pow x 8) 0.0140005442) (+ (* (pow x 10) 0.0008327945) (* 0.0001789971 (* 2.0 (pow x 12))))))))))
22.0ms
(/ (+ 1.0 (+ (* 0.1049934947 (* x x)) (+ (* 0.0424060604 (pow x 4)) (+ (* 0.0072644182 (pow x 6)) (+ (* 0.0005064034 (pow x 8)) (* 0.0001789971 (pow x 10))))))) (+ 1.0 (+ (+ (* x (* x 0.7715471019)) (* (pow x 4) 0.2909738639)) (+ (* (pow x 6) 0.0694555761) (+ (* (pow x 8) 0.0140005442) (+ (* (pow x 10) 0.0008327945) (* 0.0001789971 (* 2.0 (pow x 12)))))))))

simplify105.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
049577572
149577572

prune795.0ms

Filtered
82 candidates to 139 candidates (-69.5%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1372139
Fresh101
Picked101
Done000
Total1392141

Merged error: 0b

Counts
141 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ 0.2514179000665375 (pow x 3)) (+ (/ 0.15298196345929327 (pow x 5)) (/ 0.5 x)))
0.1b
(/ 0.2514179000665375 (pow x 3))
0.4b
(/ 0.15298196345929327 (pow x 5))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
60×times-frac
55×*-un-lft-identity
44×add-sqr-sqrt add-cube-cbrt
24×unpow-prod-down
19×associate-/r*
13×add-exp-log
12×cube-prod
8×add-log-exp sqr-pow
7×add-cbrt-cube
6×div-exp associate-/l*
5×distribute-lft-out
4×cube-mult unpow3 frac-add
3×pow1 sum-log
2×cbrt-undiv pow-to-exp frac-2neg flip3-+ pow-exp clear-num flip-+ div-inv
1×+-commutative associate-+r+
Counts
3 → 129
Calls
3 calls:
33.0ms
(+ (/ 0.2514179000665375 (pow x 3)) (+ (/ 0.15298196345929327 (pow x 5)) (/ 0.5 x)))
5.0ms
(/ 0.2514179000665375 (pow x 3))
4.0ms
(/ 0.15298196345929327 (pow x 5))

series15.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (/ 0.2514179000665375 (pow x 3)) (+ (/ 0.15298196345929327 (pow x 5)) (/ 0.5 x)))
6.0ms
(/ 0.2514179000665375 (pow x 3))
4.0ms
(/ 0.15298196345929327 (pow x 5))

simplify32.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
049851498
149851498

prune193.0ms

Filtered
87 candidates to 138 candidates (-58.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1380138
Fresh011
Picked011
Done000
Total1382140

Merged error: 0b

Counts
140 → 2

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (+ 1.0 (+ (+ (* x (* x 0.7715471019)) (* (pow x 4) 0.2909738639)) (+ (* (pow x 6) 0.0694555761) (+ (* (pow x 8) 0.0140005442) (+ (* (pow x 10) 0.0008327945) (* 0.0001789971 (* 2.0 (pow x 12)))))))))
0.2b
(* x (* x 0.7715471019))
0.4b
(* 0.1049934947 (* x x))
30.5b
(* (* x (+ 1.0 (+ (* 0.1049934947 (* x x)) (+ (* 0.0424060604 (pow x 4)) (+ (* 0.0072644182 (pow x 6)) (+ (* 0.0005064034 (pow x 8)) (* 0.0001789971 (pow x 10)))))))) (/ 1 (+ 1.0 (+ (+ (* x (* x 0.7715471019)) (* (pow x 4) 0.2909738639)) (+ (* (pow x 6) 0.0694555761) (+ (* (pow x 8) 0.0140005442) (+ (* (pow x 10) 0.0008327945) (* 0.0001789971 (* 2.0 (pow x 12))))))))))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
40×add-exp-log
30×times-frac
28×add-cbrt-cube
26×add-sqr-sqrt
25×add-cube-cbrt
23×associate-*r*
21×distribute-lft-out
20×pow1
18×prod-exp
12×cbrt-unprod
9×pow-prod-down
7×associate-*l*
6×div-exp
5×associate-*r/ associate-/r*
4×flip3-+ associate-/r/ flip-+ add-log-exp
3×cbrt-undiv rec-exp 1-exp *-commutative associate-/l*
2×frac-times associate-*l/ div-inv
1×pow-flip frac-2neg clear-num un-div-inv inv-pow unswap-sqr
Counts
4 → 128
Calls
4 calls:
15.0ms
(/ 1 (+ 1.0 (+ (+ (* x (* x 0.7715471019)) (* (pow x 4) 0.2909738639)) (+ (* (pow x 6) 0.0694555761) (+ (* (pow x 8) 0.0140005442) (+ (* (pow x 10) 0.0008327945) (* 0.0001789971 (* 2.0 (pow x 12)))))))))
5.0ms
(* x (* x 0.7715471019))
5.0ms
(* 0.1049934947 (* x x))
32.0ms
(* (* x (+ 1.0 (+ (* 0.1049934947 (* x x)) (+ (* 0.0424060604 (pow x 4)) (+ (* 0.0072644182 (pow x 6)) (+ (* 0.0005064034 (pow x 8)) (* 0.0001789971 (pow x 10)))))))) (/ 1 (+ 1.0 (+ (+ (* x (* x 0.7715471019)) (* (pow x 4) 0.2909738639)) (+ (* (pow x 6) 0.0694555761) (+ (* (pow x 8) 0.0140005442) (+ (* (pow x 10) 0.0008327945) (* 0.0001789971 (* 2.0 (pow x 12))))))))))

series43.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(/ 1 (+ 1.0 (+ (+ (* x (* x 0.7715471019)) (* (pow x 4) 0.2909738639)) (+ (* (pow x 6) 0.0694555761) (+ (* (pow x 8) 0.0140005442) (+ (* (pow x 10) 0.0008327945) (* 0.0001789971 (* 2.0 (pow x 12)))))))))
3.0ms
(* x (* x 0.7715471019))
3.0ms
(* 0.1049934947 (* x x))
26.0ms
(* (* x (+ 1.0 (+ (* 0.1049934947 (* x x)) (+ (* 0.0424060604 (pow x 4)) (+ (* 0.0072644182 (pow x 6)) (+ (* 0.0005064034 (pow x 8)) (* 0.0001789971 (pow x 10)))))))) (/ 1 (+ 1.0 (+ (+ (* x (* x 0.7715471019)) (* (pow x 4) 0.2909738639)) (+ (* (pow x 6) 0.0694555761) (+ (* (pow x 8) 0.0140005442) (+ (* (pow x 10) 0.0008327945) (* 0.0001789971 (* 2.0 (pow x 12))))))))))

simplify87.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
049435911
149435911

prune610.0ms

Filtered
79 candidates to 140 candidates (-77.2%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1400140
Fresh000
Picked011
Done011
Total1402142

Merged error: 0b

Counts
142 → 2

regimes41.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 31.9b

bsearch69.0ms

Steps
ItersRangePoint
10
0.009091900342010817
66730311810763.45
722.4501278577694
9
-3522490212.2419653
-5486.906575454437
-263718917.89976817

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010299
110299

end0.0ms

sample1.1s

Algorithm
intervals
Results
926.0ms8000×body80valid

Profiling

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