Details

Time bar (total: 2.7s)

sample37.0ms

Algorithm
intervals
Results
28.0ms256×body80valid

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
0493873
1493873

prune19.0ms

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: 32.1b

Counts
2 → 2

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.1049934947 (* x x))
0.1b
(* x (* x 0.7715471019))
17.9b
(* 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))))))))))
31.6b
(/ (+ 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)))))))))

rewrite91.0ms

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
(* 0.1049934947 (* x x))
5.0ms
(* x (* x 0.7715471019))
38.0ms
(* 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))))))))))
38.0ms
(/ (+ 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)))))))))

series54.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 0.1049934947 (* x x))
3.0ms
(* x (* x 0.7715471019))
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))))))))))
25.0ms
(/ (+ 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)))))))))

simplify123.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
049497572
149497572

prune770.0ms

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

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1381139
Fresh101
Picked011
Done000
Total1392141

Merged error: 0b

Counts
141 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 0.2514179000665375 (pow x 3)) (+ (/ 0.15298196345929327 (pow x 5)) (/ 0.5 x)))
0.0b
(+ (/ 0.15298196345929327 (pow x 5)) (/ 0.5 x))
0.0b
(/ 0.15298196345929327 (pow x 5))
0.3b
(/ 0.2514179000665375 (pow x 3))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
62×*-un-lft-identity times-frac
45×add-sqr-sqrt add-cube-cbrt
24×unpow-prod-down
19×associate-/r*
14×add-exp-log
12×cube-prod
11×add-log-exp
8×add-cbrt-cube sqr-pow
7×distribute-lft-out
6×div-exp associate-/l*
5×frac-add
4×pow1 cube-mult unpow3 sum-log
3×flip3-+ flip-+
2×cbrt-undiv +-commutative pow-to-exp frac-2neg pow-exp clear-num div-inv
1×associate-+r+
Counts
4 → 143
Calls
4 calls:
38.0ms
(+ (/ 0.2514179000665375 (pow x 3)) (+ (/ 0.15298196345929327 (pow x 5)) (/ 0.5 x)))
19.0ms
(+ (/ 0.15298196345929327 (pow x 5)) (/ 0.5 x))
4.0ms
(/ 0.15298196345929327 (pow x 5))
5.0ms
(/ 0.2514179000665375 (pow x 3))

series23.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (/ 0.2514179000665375 (pow x 3)) (+ (/ 0.15298196345929327 (pow x 5)) (/ 0.5 x)))
10.0ms
(+ (/ 0.15298196345929327 (pow x 5)) (/ 0.5 x))
4.0ms
(/ 0.15298196345929327 (pow x 5))
4.0ms
(/ 0.2514179000665375 (pow x 3))

simplify37.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
052561705

prune219.0ms

Filtered
97 candidates to 155 candidates (-59.8%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1550155
Fresh000
Picked011
Done011
Total1552157

Merged error: 0b

Counts
157 → 2

regimes42.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 32.5b

bsearch65.0ms

Steps
ItersRangePoint
10
0.01683730658649282
12785707414306.22
710.1615320370787
8
-12322.514085840688
-0.2101619750885166
-777.0007929198873

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09897
19897

end0.0ms

sample1.0s

Algorithm
intervals
Results
906.0ms8000×body80valid

Profiling

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