Details

Time bar (total: 10.9s)

sample45.0ms

Algorithm
intervals
Results
23.0ms256×body80valid

simplify1.0s

Counts
1 → 1
Iterations

Useful iterations: 3 (183.0ms)

IterNodesCost
044173
1132173
2504109
3207779
done500079

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.9b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite445.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log add-cbrt-cube
19×pow1
13×*-un-lft-identity
12×add-sqr-sqrt
10×prod-exp cbrt-unprod
9×add-cube-cbrt pow-prod-down
7×associate-*r*
6×flip3-+ associate-/r/ flip-+
5×associate-*l*
4×times-frac frac-add associate-/r* add-log-exp
3×*-commutative unswap-sqr
2×cbrt-undiv div-exp associate-*l/ associate-/l/ distribute-lft-out
1×frac-2neg clear-num div-inv associate-/l*
Counts
4 → 88
Calls
4 calls:
7.0ms
(* 0.1049934947 (* x x))
8.0ms
(* (* x x) 0.0008327945)
8.0ms
(* (* x x) 0.0001789971)
419.0ms
(/ (* (+ (+ (* (pow (* x x) 4) (+ (* (* x x) 0.0001789971) 0.0005064034)) (+ (+ 1.0 (* 0.1049934947 (* x x))) (* (pow x 6) 0.0072644182))) (* (pow x 4) 0.0424060604)) x) (+ (+ (* (* 2.0 0.0001789971) (pow (* x x) 6)) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (+ (* (pow x 6) 0.0694555761) (* (pow (* x x) 4) (+ 0.0140005442 (* (* x x) 0.0008327945))))))

series366.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 0.1049934947 (* x x))
26.0ms
(* (* x x) 0.0008327945)
27.0ms
(* (* x x) 0.0001789971)
288.0ms
(/ (* (+ (+ (* (pow (* x x) 4) (+ (* (* x x) 0.0001789971) 0.0005064034)) (+ (+ 1.0 (* 0.1049934947 (* x x))) (* (pow x 6) 0.0072644182))) (* (pow x 4) 0.0424060604)) x) (+ (+ (* (* 2.0 0.0001789971) (pow (* x x) 6)) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (+ (* (pow x 6) 0.0694555761) (* (pow (* x x) 4) (+ 0.0140005442 (* (* x x) 0.0008327945))))))

simplify1.4s

Counts
100 → 100
Iterations

Useful iterations: 2 (300.0ms)

IterNodesCost
02344171
17564053
238203241
done50003241

prune707.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite434.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log add-cbrt-cube
19×pow1
13×*-un-lft-identity
12×add-sqr-sqrt
10×prod-exp cbrt-unprod
9×add-cube-cbrt pow-prod-down
7×associate-*l*
6×flip3-+ associate-/r/ flip-+
5×associate-*r*
4×times-frac frac-add associate-/r* add-log-exp
3×*-commutative unswap-sqr
2×cbrt-undiv div-exp associate-*l/ associate-/l/ distribute-lft-out
1×frac-2neg clear-num div-inv associate-/l*
Counts
4 → 88
Calls
4 calls:
8.0ms
(* 0.2909738639 (* x x))
7.0ms
(* 0.1049934947 (* x x))
7.0ms
(* (* x x) 0.0008327945)
408.0ms
(/ (* (+ (+ (* (pow (* x x) 4) (+ (* x (* x 0.0001789971)) 0.0005064034)) (+ (+ 1.0 (* 0.1049934947 (* x x))) (* (pow x 6) 0.0072644182))) (* (pow x 4) 0.0424060604)) x) (+ (+ (* (* 2.0 0.0001789971) (pow (* x x) 6)) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (+ (* (pow x 6) 0.0694555761) (* (pow (* x x) 4) (+ 0.0140005442 (* (* x x) 0.0008327945))))))

series353.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 0.2909738639 (* x x))
28.0ms
(* 0.1049934947 (* x x))
24.0ms
(* (* x x) 0.0008327945)
276.0ms
(/ (* (+ (+ (* (pow (* x x) 4) (+ (* x (* x 0.0001789971)) 0.0005064034)) (+ (+ 1.0 (* 0.1049934947 (* x x))) (* (pow x 6) 0.0072644182))) (* (pow x 4) 0.0424060604)) x) (+ (+ (* (* 2.0 0.0001789971) (pow (* x x) 6)) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (+ (* (pow x 6) 0.0694555761) (* (pow (* x x) 4) (+ 0.0140005442 (* (* x x) 0.0008327945))))))

simplify1.3s

Counts
100 → 100
Iterations

Useful iterations: 2 (303.0ms)

IterNodesCost
02344168
17494052
237133240
done50013240

prune731.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

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))
18.9b
(- (+ (* 1.0 x) (* 0.265709700396151 (pow x 5))) (* 0.6665536072 (pow x 3)))

rewrite34.0ms

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:
3.0ms
(+ (* 1.0 x) (* 0.265709700396151 (pow x 5)))
6.0ms
(* 0.265709700396151 (pow x 5))
7.0ms
(* 0.6665536072 (pow x 3))
16.0ms
(- (+ (* 1.0 x) (* 0.265709700396151 (pow x 5))) (* 0.6665536072 (pow x 3)))

series293.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(+ (* 1.0 x) (* 0.265709700396151 (pow x 5)))
51.0ms
(* 0.265709700396151 (pow x 5))
35.0ms
(* 0.6665536072 (pow x 3))
65.0ms
(- (+ (* 1.0 x) (* 0.265709700396151 (pow x 5))) (* 0.6665536072 (pow x 3)))

simplify664.0ms

Counts
93 → 93
Iterations

Useful iterations: 2 (134.0ms)

IterNodesCost
01371067
1349957
21340907
done5000907

prune205.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite131.0ms

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:
117.0ms
(+ (/ 0.2514179000665375 (pow x 3)) (+ (/ 0.15298196345929327 (pow x 5)) (/ 0.5 x)))
4.0ms
(/ 0.15298196345929327 (pow x 5))
5.0ms
(/ 0.2514179000665375 (pow x 3))

series141.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(+ (/ 0.2514179000665375 (pow x 3)) (+ (/ 0.15298196345929327 (pow x 5)) (/ 0.5 x)))
52.0ms
(/ 0.15298196345929327 (pow x 5))
35.0ms
(/ 0.2514179000665375 (pow x 3))

simplify994.0ms

Counts
138 → 138
Iterations

Useful iterations: 2 (208.0ms)

IterNodesCost
02291820
15341586
223511504
done50011504

prune293.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes38.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.0b

bsearch382.0ms

Steps
ItersRangePoint
7
25.411711264148785
868.4016055832647
613.0083589884888
10
-155084744.97222546
-0.0009113054925467739
-16518388.962557932

simplify6.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
064117
194103
done94103

end0.0ms

sample852.0ms

Algorithm
intervals
Results
739.0ms8000×body80valid