Details

Time bar (total: 32.5s)

sample126.0ms

Algorithm
intervals
Results
66.0ms256×body80valid

simplify3.2s

Counts
1 → 1
Iterations

Useful iterations: done (3.2s)

IterNodesCost
044173
1132173
2547109
3278179
done500173

prune50.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.9b

localize141.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.7715471019 (* x x))
0.4b
(* 0.1049934947 (* x x))
14.1b
(* (/ (+ (+ (+ 1.0 (* 0.1049934947 (* x x))) (* (pow x 6) 0.0072644182)) (* (pow x 4) (+ 0.0424060604 (+ (* (pow x 4) 0.0005064034) (* 0.0001789971 (pow x 6)))))) (+ (* (pow x 6) (+ (* (pow x 6) (* 2.0 0.0001789971)) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442))))))) x)
28.4b
(/ (+ (+ (+ 1.0 (* 0.1049934947 (* x x))) (* (pow x 6) 0.0072644182)) (* (pow x 4) (+ 0.0424060604 (+ (* (pow x 4) 0.0005064034) (* 0.0001789971 (pow x 6)))))) (+ (* (pow x 6) (+ (* (pow x 6) (* 2.0 0.0001789971)) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442)))))))

rewrite1.7s

Algorithm
rewrite-expression-head
Rules
44×associate-*r/ frac-add
39×flip3-+ flip-+
33×associate-*l*
29×add-sqr-sqrt
28×associate-/r/
22×add-cube-cbrt *-un-lft-identity
21×add-exp-log add-cbrt-cube
19×times-frac
16×pow1
8×prod-exp cbrt-unprod
7×pow-prod-down
6×associate-/l/
5×associate-*r*
4×add-log-exp unswap-sqr
3×associate-/r* *-commutative associate-/l*
2×cbrt-undiv div-exp div-inv
1×frac-2neg associate-*l/ clear-num
Counts
4 → 131
Calls
4 calls:
35.0ms
(* 0.7715471019 (* x x))
36.0ms
(* 0.1049934947 (* x x))
975.0ms
(* (/ (+ (+ (+ 1.0 (* 0.1049934947 (* x x))) (* (pow x 6) 0.0072644182)) (* (pow x 4) (+ 0.0424060604 (+ (* (pow x 4) 0.0005064034) (* 0.0001789971 (pow x 6)))))) (+ (* (pow x 6) (+ (* (pow x 6) (* 2.0 0.0001789971)) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442))))))) x)
683.0ms
(/ (+ (+ (+ 1.0 (* 0.1049934947 (* x x))) (* (pow x 6) 0.0072644182)) (* (pow x 4) (+ 0.0424060604 (+ (* (pow x 4) 0.0005064034) (* 0.0001789971 (pow x 6)))))) (+ (* (pow x 6) (+ (* (pow x 6) (* 2.0 0.0001789971)) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442)))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
51.0ms
(* 0.7715471019 (* x x))
60.0ms
(* 0.1049934947 (* x x))
531.0ms
(* (/ (+ (+ (+ 1.0 (* 0.1049934947 (* x x))) (* (pow x 6) 0.0072644182)) (* (pow x 4) (+ 0.0424060604 (+ (* (pow x 4) 0.0005064034) (* 0.0001789971 (pow x 6)))))) (+ (* (pow x 6) (+ (* (pow x 6) (* 2.0 0.0001789971)) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442))))))) x)
403.0ms
(/ (+ (+ (+ 1.0 (* 0.1049934947 (* x x))) (* (pow x 6) 0.0072644182)) (* (pow x 4) (+ 0.0424060604 (+ (* (pow x 4) 0.0005064034) (* 0.0001789971 (pow x 6)))))) (+ (* (pow x 6) (+ (* (pow x 6) (* 2.0 0.0001789971)) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442)))))))

simplify1.2s

Counts
143 → 143
Iterations

Useful iterations: done (1.1s)

IterNodesCost
037810297
112949829
done50009025

prune2.8s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize116.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.7715471019 (* x x))
0.4b
(* 0.1049934947 (* x x))
14.1b
(* (/ (+ (+ 1.0 (* 0.1049934947 (* x x))) (+ (* (pow x 6) 0.0072644182) (* (pow x 4) (+ 0.0424060604 (+ (* (pow x 4) 0.0005064034) (* 0.0001789971 (pow x 6))))))) (+ (* (pow x 6) (+ (* (pow x 6) (* 2.0 0.0001789971)) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442))))))) x)
28.4b
(/ (+ (+ 1.0 (* 0.1049934947 (* x x))) (+ (* (pow x 6) 0.0072644182) (* (pow x 4) (+ 0.0424060604 (+ (* (pow x 4) 0.0005064034) (* 0.0001789971 (pow x 6))))))) (+ (* (pow x 6) (+ (* (pow x 6) (* 2.0 0.0001789971)) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442)))))))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
44×frac-add
40×associate-*r/
39×flip3-+ flip-+
38×*-un-lft-identity
36×associate-*l*
31×add-sqr-sqrt
28×associate-/r/
25×times-frac
24×add-cube-cbrt
21×add-exp-log add-cbrt-cube
16×pow1
8×prod-exp cbrt-unprod
7×pow-prod-down distribute-lft-out
6×associate-/l/
5×associate-*r*
4×associate-/l* add-log-exp unswap-sqr
3×associate-/r* *-commutative
2×cbrt-undiv div-exp div-inv
1×frac-2neg associate-*l/ clear-num
Counts
4 → 138
Calls
4 calls:
30.0ms
(* 0.7715471019 (* x x))
29.0ms
(* 0.1049934947 (* x x))
611.0ms
(* (/ (+ (+ 1.0 (* 0.1049934947 (* x x))) (+ (* (pow x 6) 0.0072644182) (* (pow x 4) (+ 0.0424060604 (+ (* (pow x 4) 0.0005064034) (* 0.0001789971 (pow x 6))))))) (+ (* (pow x 6) (+ (* (pow x 6) (* 2.0 0.0001789971)) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442))))))) x)
408.0ms
(/ (+ (+ 1.0 (* 0.1049934947 (* x x))) (+ (* (pow x 6) 0.0072644182) (* (pow x 4) (+ 0.0424060604 (+ (* (pow x 4) 0.0005064034) (* 0.0001789971 (pow x 6))))))) (+ (* (pow x 6) (+ (* (pow x 6) (* 2.0 0.0001789971)) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442)))))))

series916.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* 0.7715471019 (* x x))
43.0ms
(* 0.1049934947 (* x x))
471.0ms
(* (/ (+ (+ 1.0 (* 0.1049934947 (* x x))) (+ (* (pow x 6) 0.0072644182) (* (pow x 4) (+ 0.0424060604 (+ (* (pow x 4) 0.0005064034) (* 0.0001789971 (pow x 6))))))) (+ (* (pow x 6) (+ (* (pow x 6) (* 2.0 0.0001789971)) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442))))))) x)
350.0ms
(/ (+ (+ 1.0 (* 0.1049934947 (* x x))) (+ (* (pow x 6) 0.0072644182) (* (pow x 4) (+ 0.0424060604 (+ (* (pow x 4) 0.0005064034) (* 0.0001789971 (pow x 6))))))) (+ (* (pow x 6) (+ (* (pow x 6) (* 2.0 0.0001789971)) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442)))))))

simplify1.4s

Counts
150 → 150
Iterations

Useful iterations: done (1.4s)

IterNodesCost
037610964
1128710496
done50019676

prune2.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize131.0ms

Local error

Found 4 expressions with local error:

0.4b
(* 0.1049934947 (* x x))
9.6b
(cbrt (pow (/ (+ (+ 1.0 (* 0.1049934947 (* x x))) (+ (* (pow x 6) 0.0072644182) (* (pow x 4) (+ 0.0424060604 (+ (* (pow x 4) 0.0005064034) (* 0.0001789971 (pow x 6))))))) (+ (* (pow x 6) (+ (* (pow x 6) (* 2.0 0.0001789971)) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442))))))) 3))
14.1b
(* (cbrt (pow (/ (+ (+ 1.0 (* 0.1049934947 (* x x))) (+ (* (pow x 6) 0.0072644182) (* (pow x 4) (+ 0.0424060604 (+ (* (pow x 4) 0.0005064034) (* 0.0001789971 (pow x 6))))))) (+ (* (pow x 6) (+ (* (pow x 6) (* 2.0 0.0001789971)) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442))))))) 3)) x)
28.4b
(/ (+ (+ 1.0 (* 0.1049934947 (* x x))) (+ (* (pow x 6) 0.0072644182) (* (pow x 4) (+ 0.0424060604 (+ (* (pow x 4) 0.0005064034) (* 0.0001789971 (pow x 6))))))) (+ (* (pow x 6) (+ (* (pow x 6) (* 2.0 0.0001789971)) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442)))))))

rewrite2.0s

Algorithm
rewrite-expression-head
Rules
138×cbrt-prod
104×frac-add
100×associate-*r/
90×flip3-+ flip-+
82×*-un-lft-identity
72×associate-*l*
70×associate-/r/
66×add-sqr-sqrt
62×unpow-prod-down times-frac cube-prod
50×add-cube-cbrt
16×distribute-lft-out
13×add-exp-log
12×add-cbrt-cube
11×pow1
8×unswap-sqr
6×associate-/l/
5×div-inv
4×associate-*r* pow-prod-down prod-exp cbrt-unprod associate-/l* add-log-exp
3×associate-/r* sqr-pow
2×cube-div cube-mult cbrt-div unpow3 *-commutative
1×cbrt-undiv frac-2neg pow1/3 div-exp associate-*l/ clear-num rem-cbrt-cube
Counts
4 → 237
Calls
4 calls:
29.0ms
(* 0.1049934947 (* x x))
300.0ms
(cbrt (pow (/ (+ (+ 1.0 (* 0.1049934947 (* x x))) (+ (* (pow x 6) 0.0072644182) (* (pow x 4) (+ 0.0424060604 (+ (* (pow x 4) 0.0005064034) (* 0.0001789971 (pow x 6))))))) (+ (* (pow x 6) (+ (* (pow x 6) (* 2.0 0.0001789971)) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442))))))) 3))
1.2s
(* (cbrt (pow (/ (+ (+ 1.0 (* 0.1049934947 (* x x))) (+ (* (pow x 6) 0.0072644182) (* (pow x 4) (+ 0.0424060604 (+ (* (pow x 4) 0.0005064034) (* 0.0001789971 (pow x 6))))))) (+ (* (pow x 6) (+ (* (pow x 6) (* 2.0 0.0001789971)) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442))))))) 3)) x)
404.0ms
(/ (+ (+ 1.0 (* 0.1049934947 (* x x))) (+ (* (pow x 6) 0.0072644182) (* (pow x 4) (+ 0.0424060604 (+ (* (pow x 4) 0.0005064034) (* 0.0001789971 (pow x 6))))))) (+ (* (pow x 6) (+ (* (pow x 6) (* 2.0 0.0001789971)) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442)))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
45.0ms
(* 0.1049934947 (* x x))
354.0ms
(cbrt (pow (/ (+ (+ 1.0 (* 0.1049934947 (* x x))) (+ (* (pow x 6) 0.0072644182) (* (pow x 4) (+ 0.0424060604 (+ (* (pow x 4) 0.0005064034) (* 0.0001789971 (pow x 6))))))) (+ (* (pow x 6) (+ (* (pow x 6) (* 2.0 0.0001789971)) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442))))))) 3))
477.0ms
(* (cbrt (pow (/ (+ (+ 1.0 (* 0.1049934947 (* x x))) (+ (* (pow x 6) 0.0072644182) (* (pow x 4) (+ 0.0424060604 (+ (* (pow x 4) 0.0005064034) (* 0.0001789971 (pow x 6))))))) (+ (* (pow x 6) (+ (* (pow x 6) (* 2.0 0.0001789971)) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442))))))) 3)) x)
351.0ms
(/ (+ (+ 1.0 (* 0.1049934947 (* x x))) (+ (* (pow x 6) 0.0072644182) (* (pow x 4) (+ 0.0424060604 (+ (* (pow x 4) 0.0005064034) (* 0.0001789971 (pow x 6))))))) (+ (* (pow x 6) (+ (* (pow x 6) (* 2.0 0.0001789971)) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442)))))))

simplify1.3s

Counts
249 → 249
Iterations

Useful iterations: done (1.2s)

IterNodesCost
048227689
1171725236
done500024328

prune3.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 0.5 x) (/ 0.15298196345929327 (pow x 5)))
0.0b
(+ (/ 0.2514179000665375 (pow x 3)) (+ (/ 0.5 x) (/ 0.15298196345929327 (pow x 5))))
0.0b
(/ 0.15298196345929327 (pow x 5))
0.2b
(/ 0.2514179000665375 (pow x 3))

rewrite325.0ms

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:
63.0ms
(+ (/ 0.5 x) (/ 0.15298196345929327 (pow x 5)))
226.0ms
(+ (/ 0.2514179000665375 (pow x 3)) (+ (/ 0.5 x) (/ 0.15298196345929327 (pow x 5))))
13.0ms
(/ 0.15298196345929327 (pow x 5))
14.0ms
(/ 0.2514179000665375 (pow x 3))

series463.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(+ (/ 0.5 x) (/ 0.15298196345929327 (pow x 5)))
100.0ms
(+ (/ 0.2514179000665375 (pow x 3)) (+ (/ 0.5 x) (/ 0.15298196345929327 (pow x 5))))
85.0ms
(/ 0.15298196345929327 (pow x 5))
70.0ms
(/ 0.2514179000665375 (pow x 3))

simplify2.1s

Counts
155 → 155
Iterations

Useful iterations: 2 (786.0ms)

IterNodesCost
02342070
15611811
227441723
done50001723

prune782.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes104.0ms

Accuracy

100% (0.0b remaining)

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

bsearch912.0ms

Steps
ItersRangePoint
10
2.8868360106527892e-08
453261925.93168354
661.9925775194783
10
-7.782158879800267e+37
-4.764088735123307e+24
-8.870052363925491e+25

simplify16.0ms

Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
061111
19097
done9097

end0.0ms

sample3.6s

Algorithm
intervals
Results
3.3s8000×body80valid