Details

Time bar (total: 15.6s)

sample64.0ms

Algorithm
intervals
Results
32.0ms256×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: done (2.3s)

IterNodesCost
044173
1132173
2535109
3233079
done500073

prune38.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.1b

localize62.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* x x) 0.0140005442)
0.4b
(* 0.0072644182 (* x x))
11.6b
(* (/ (+ (* (pow x 4) (+ (+ (* 0.0001789971 (pow x 6)) (* (pow x 4) 0.0005064034)) (+ (* 0.0072644182 (* x x)) 0.0424060604))) (+ 1.0 (* 0.1049934947 (* x x)))) (+ (+ 1.0 (* (pow x 4) 0.2909738639)) (* (* x x) (+ 0.7715471019 (* (pow x 4) (+ (+ 0.0694555761 (* (* x x) 0.0140005442)) (+ (* 0.0008327945 (pow x 4)) (* (pow x 6) (* 2.0 0.0001789971))))))))) x)
26.6b
(/ (+ (* (pow x 4) (+ (+ (* 0.0001789971 (pow x 6)) (* (pow x 4) 0.0005064034)) (+ (* 0.0072644182 (* x x)) 0.0424060604))) (+ 1.0 (* 0.1049934947 (* x x)))) (+ (+ 1.0 (* (pow x 4) 0.2909738639)) (* (* x x) (+ 0.7715471019 (* (pow x 4) (+ (+ 0.0694555761 (* (* x x) 0.0140005442)) (+ (* 0.0008327945 (pow x 4)) (* (pow x 6) (* 2.0 0.0001789971)))))))))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
28×frac-add
27×flip3-+ flip-+
23×associate-*l*
22×add-cube-cbrt *-un-lft-identity
21×add-exp-log add-cbrt-cube
20×associate-*r/
19×times-frac
16×pow1
14×associate-/l/
12×associate-/r/
8×prod-exp cbrt-unprod
7×associate-*r* pow-prod-down
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 → 123
Calls
4 calls:
28.0ms
(* (* x x) 0.0140005442)
35.0ms
(* 0.0072644182 (* x x))
523.0ms
(* (/ (+ (* (pow x 4) (+ (+ (* 0.0001789971 (pow x 6)) (* (pow x 4) 0.0005064034)) (+ (* 0.0072644182 (* x x)) 0.0424060604))) (+ 1.0 (* 0.1049934947 (* x x)))) (+ (+ 1.0 (* (pow x 4) 0.2909738639)) (* (* x x) (+ 0.7715471019 (* (pow x 4) (+ (+ 0.0694555761 (* (* x x) 0.0140005442)) (+ (* 0.0008327945 (pow x 4)) (* (pow x 6) (* 2.0 0.0001789971))))))))) x)
412.0ms
(/ (+ (* (pow x 4) (+ (+ (* 0.0001789971 (pow x 6)) (* (pow x 4) 0.0005064034)) (+ (* 0.0072644182 (* x x)) 0.0424060604))) (+ 1.0 (* 0.1049934947 (* x x)))) (+ (+ 1.0 (* (pow x 4) 0.2909738639)) (* (* x x) (+ 0.7715471019 (* (pow x 4) (+ (+ 0.0694555761 (* (* x x) 0.0140005442)) (+ (* 0.0008327945 (pow x 4)) (* (pow x 6) (* 2.0 0.0001789971)))))))))

series849.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (* x x) 0.0140005442)
50.0ms
(* 0.0072644182 (* x x))
446.0ms
(* (/ (+ (* (pow x 4) (+ (+ (* 0.0001789971 (pow x 6)) (* (pow x 4) 0.0005064034)) (+ (* 0.0072644182 (* x x)) 0.0424060604))) (+ 1.0 (* 0.1049934947 (* x x)))) (+ (+ 1.0 (* (pow x 4) 0.2909738639)) (* (* x x) (+ 0.7715471019 (* (pow x 4) (+ (+ 0.0694555761 (* (* x x) 0.0140005442)) (+ (* 0.0008327945 (pow x 4)) (* (pow x 6) (* 2.0 0.0001789971))))))))) x)
320.0ms
(/ (+ (* (pow x 4) (+ (+ (* 0.0001789971 (pow x 6)) (* (pow x 4) 0.0005064034)) (+ (* 0.0072644182 (* x x)) 0.0424060604))) (+ 1.0 (* 0.1049934947 (* x x)))) (+ (+ 1.0 (* (pow x 4) 0.2909738639)) (* (* x x) (+ 0.7715471019 (* (pow x 4) (+ (+ 0.0694555761 (* (* x x) 0.0140005442)) (+ (* 0.0008327945 (pow x 4)) (* (pow x 6) (* 2.0 0.0001789971)))))))))

simplify700.0ms

Counts
135 → 135
Iterations

Useful iterations: done (691.0ms)

IterNodesCost
03258932
110478594
done50007812

prune1.7s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1.0 x) (* 0.265709700396151 (pow x 5)))
0.0b
(* 0.265709700396151 (pow x 5))
0.1b
(* 0.6665536072 (pow x 3))
18.5b
(- (+ (* 1.0 x) (* 0.265709700396151 (pow x 5))) (* 0.6665536072 (pow x 3)))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×associate-*r*
14×add-exp-log
11×add-cube-cbrt *-un-lft-identity add-log-exp
8×unpow-prod-down add-cbrt-cube
7×unswap-sqr
6×associate-*l* prod-exp
4×pow1 cube-prod sqr-pow
2×pow-to-exp diff-log pow-exp sum-log *-commutative cbrt-unprod
1×+-commutative cube-mult sub-neg flip3-- flip3-+ unpow3 associate--l+ flip-- flip-+
Counts
4 → 81
Calls
4 calls:
8.0ms
(+ (* 1.0 x) (* 0.265709700396151 (pow x 5)))
15.0ms
(* 0.265709700396151 (pow x 5))
27.0ms
(* 0.6665536072 (pow x 3))
72.0ms
(- (+ (* 1.0 x) (* 0.265709700396151 (pow x 5))) (* 0.6665536072 (pow x 3)))

series441.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(+ (* 1.0 x) (* 0.265709700396151 (pow x 5)))
89.0ms
(* 0.265709700396151 (pow x 5))
46.0ms
(* 0.6665536072 (pow x 3))
111.0ms
(- (+ (* 1.0 x) (* 0.265709700396151 (pow x 5))) (* 0.6665536072 (pow x 3)))

simplify1.0s

Counts
93 → 93
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01371067
1336957
21073907
done5000897

prune330.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 0.15298196345929327 (pow x 5))
0.3b
(/ 0.2514179000665375 (pow x 3))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
57×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×unpow-prod-down
19×associate-/r*
12×add-exp-log cube-prod
8×sqr-pow
6×div-exp add-cbrt-cube associate-/l*
4×cube-mult unpow3
2×pow1 cbrt-undiv pow-to-exp frac-2neg pow-exp clear-num div-inv add-log-exp
Counts
2 → 110
Calls
2 calls:
15.0ms
(/ 0.15298196345929327 (pow x 5))
15.0ms
(/ 0.2514179000665375 (pow x 3))

series115.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ 0.15298196345929327 (pow x 5))
58.0ms
(/ 0.2514179000665375 (pow x 3))

simplify2.8s

Counts
116 → 116
Iterations

Useful iterations: 2 (197.0ms)

IterNodesCost
01731234
12981045
27931013
335031013
done50011013

prune429.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes28.0ms

Accuracy

100% (0.0b remaining)

Error of 0.3b against oracle of 0.3b and baseline of 31.5b

bsearch687.0ms

Steps
ItersRangePoint
9
0.0030847216915828425
5729.342694487068
1.1389109669069526
11
-30636816361710.875
-9.292394687435822e-10
-1.1603450160571833

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02753
13639
done3639

end0.0ms

sample2.8s

Algorithm
intervals
Results
2.5s8000×body80valid