Details

Time bar (total: 9.6s)

sample42.0ms

Algorithm
intervals
Results
22.0ms256×body80valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 3 (209.0ms)

IterNodesCost
044173
1132173
2502109
3204079
done500079

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.9b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* x x) 0.0001789971)
0.3b
(* 0.2909738639 (* x x))
0.4b
(* (* x x) 0.0008327945)
28.4b
(/ (* (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ (* (pow x 6) 0.0072644182) (+ 1.0 (* (* x x) (+ 0.1049934947 (* 0.0424060604 (* x x))))))) x) (+ (* (pow (* x x) 4) (+ 0.0140005442 (* (* x x) 0.0008327945))) (+ (* (* 2.0 (pow (* x x) 6)) 0.0001789971) (+ (* (pow x 6) 0.0694555761) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)))))

rewrite479.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log add-cbrt-cube
19×pow1
12×add-sqr-sqrt
10×flip3-+ prod-exp cbrt-unprod flip-+
9×add-cube-cbrt *-un-lft-identity pow-prod-down
8×associate-*r/ frac-add
7×associate-*r*
6×associate-*l/ associate-/r/ associate-/l/
5×associate-*l*
4×add-log-exp
3×times-frac associate-/r* *-commutative unswap-sqr
2×cbrt-undiv div-exp
1×frac-2neg clear-num div-inv associate-/l*
Counts
4 → 90
Calls
4 calls:
7.0ms
(* (* x x) 0.0001789971)
6.0ms
(* 0.2909738639 (* x x))
7.0ms
(* (* x x) 0.0008327945)
455.0ms
(/ (* (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ (* (pow x 6) 0.0072644182) (+ 1.0 (* (* x x) (+ 0.1049934947 (* 0.0424060604 (* x x))))))) x) (+ (* (pow (* x x) 4) (+ 0.0140005442 (* (* x x) 0.0008327945))) (+ (* (* 2.0 (pow (* x x) 6)) 0.0001789971) (+ (* (pow x 6) 0.0694555761) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)))))

series333.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (* x x) 0.0001789971)
29.0ms
(* 0.2909738639 (* x x))
24.0ms
(* (* x x) 0.0008327945)
255.0ms
(/ (* (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ (* (pow x 6) 0.0072644182) (+ 1.0 (* (* x x) (+ 0.1049934947 (* 0.0424060604 (* x x))))))) x) (+ (* (pow (* x x) 4) (+ 0.0140005442 (* (* x x) 0.0008327945))) (+ (* (* 2.0 (pow (* x x) 6)) 0.0001789971) (+ (* (pow x 6) 0.0694555761) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)))))

simplify1.8s

Counts
102 → 102
Iterations

Useful iterations: 2 (724.0ms)

IterNodesCost
02534390
18384190
241673558
done50003558

prune607.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 0.265709700396151 (pow x 5))
0.1b
(* 0.6665536072 (pow x 3))
20.6b
(- (+ (* 1.0 x) (* 0.265709700396151 (pow x 5))) (* 0.6665536072 (pow x 3)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
19×associate-*r*
13×add-exp-log
10×add-cube-cbrt *-un-lft-identity
8×unpow-prod-down add-log-exp
7×add-cbrt-cube unswap-sqr
6×associate-*l* prod-exp
4×cube-prod sqr-pow
3×pow1
2×pow-to-exp diff-log pow-exp *-commutative cbrt-unprod
1×cube-mult sub-neg flip3-- unpow3 associate--l+ sum-log flip--
Counts
3 → 70
Calls
3 calls:
5.0ms
(* 0.265709700396151 (pow x 5))
7.0ms
(* 0.6665536072 (pow x 3))
15.0ms
(- (+ (* 1.0 x) (* 0.265709700396151 (pow x 5))) (* 0.6665536072 (pow x 3)))

series148.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* 0.265709700396151 (pow x 5))
35.0ms
(* 0.6665536072 (pow x 3))
64.0ms
(- (+ (* 1.0 x) (* 0.265709700396151 (pow x 5))) (* 0.6665536072 (pow x 3)))

simplify2.1s

Counts
79 → 79
Iterations

Useful iterations: 3 (423.0ms)

IterNodesCost
0123859
1285784
2846728
34072720
done5000720

prune164.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 0.2514179000665375 (pow x 3)) (+ (/ 0.5 x) (/ 0.15298196345929327 (pow x 5))))
0.0b
(+ (/ 0.5 x) (/ 0.15298196345929327 (pow x 5)))
0.0b
(/ 0.15298196345929327 (pow x 5))
0.9b
(/ 0.2514179000665375 (pow x 3))

rewrite136.0ms

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:
97.0ms
(+ (/ 0.2514179000665375 (pow x 3)) (+ (/ 0.5 x) (/ 0.15298196345929327 (pow x 5))))
26.0ms
(+ (/ 0.5 x) (/ 0.15298196345929327 (pow x 5)))
4.0ms
(/ 0.15298196345929327 (pow x 5))
4.0ms
(/ 0.2514179000665375 (pow x 3))

series251.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(+ (/ 0.2514179000665375 (pow x 3)) (+ (/ 0.5 x) (/ 0.15298196345929327 (pow x 5))))
110.0ms
(+ (/ 0.5 x) (/ 0.15298196345929327 (pow x 5)))
51.0ms
(/ 0.15298196345929327 (pow x 5))
37.0ms
(/ 0.2514179000665375 (pow x 3))

simplify697.0ms

Counts
155 → 155
Iterations

Useful iterations: 2 (284.0ms)

IterNodesCost
02342070
15301811
216521715
done50001715

prune316.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

Accuracy

100% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 31.6b

bsearch352.0ms

Steps
ItersRangePoint
10
5.968040026638966e-05
117627206.70733242
1.1589205875478283
10
-64880754058.88788
-2.651420353119469e-05
-1.147765270182274

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02753
13639
done3639

end0.0ms

sample830.0ms

Algorithm
intervals
Results
717.0ms8000×body80valid