Details

Time bar (total: 22.1s)

sample95.0ms

Algorithm
intervals
Results
50.0ms377×body80valid
12.0ms143×body80nan

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
done5001
51406
4257
396
248
124
012

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(* a (pow k m))
0.0b
(+ 1.0 (* 10.0 k))
0.0b
(+ (+ 1.0 (* 10.0 k)) (* k k))
2.7b
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log
14×add-sqr-sqrt
11×add-cbrt-cube add-log-exp
9×*-un-lft-identity add-cube-cbrt
7×associate-*r*
6×prod-exp
4×pow1 sum-log unpow-prod-down div-exp
3×associate-/r* flip3-+ times-frac associate-*l* flip-+ unswap-sqr
2×pow-to-exp cbrt-undiv +-commutative pow-exp associate-/r/ cbrt-unprod sqr-pow
1×associate-+l+ clear-num frac-2neg *-commutative div-inv associate-/l*
Counts
4 → 74
Calls
4 calls:
14.0ms
(* a (pow k m))
12.0ms
(+ 1.0 (* 10.0 k))
35.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
51.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series376.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(* a (pow k m))
69.0ms
(+ 1.0 (* 10.0 k))
23.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
174.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify1.6s

Counts
86 → 86
Iterations
IterNodes
done5001
22316
1478
0169

prune516.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt k)
0.5b
(cbrt k)
0.5b
(* (cbrt k) (cbrt k))
2.7b
(/ (* (* a (pow (* (cbrt k) (cbrt k)) m)) (pow (cbrt k) m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
60×add-exp-log
31×prod-exp
24×add-sqr-sqrt
22×cbrt-prod
16×*-un-lft-identity div-exp add-cube-cbrt
13×add-cbrt-cube
11×pow1 pow-exp
8×pow-to-exp pow1/3
6×swap-sqr associate-*r* associate-*l*
4×cbrt-unprod add-log-exp unswap-sqr
3×cbrt-undiv associate-/r* times-frac
2×pow-prod-down associate-/r/ pow-sqr pow-prod-up
1×pow2 clear-num frac-2neg flip3-+ pow-plus *-commutative flip-+ div-inv associate-/l*
Counts
4 → 100
Calls
4 calls:
1.0ms
(cbrt k)
1.0ms
(cbrt k)
17.0ms
(* (cbrt k) (cbrt k))
53.0ms
(/ (* (* a (pow (* (cbrt k) (cbrt k)) m)) (pow (cbrt k) m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series1.5s

Counts
4 → 12
Calls
4 calls:
281.0ms
(cbrt k)
259.0ms
(cbrt k)
269.0ms
(* (cbrt k) (cbrt k))
644.0ms
(/ (* (* a (pow (* (cbrt k) (cbrt k)) m)) (pow (cbrt k) m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify2.1s

Counts
112 → 112
Iterations
IterNodes
done5001
23420
1574
0197

prune1.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt k)
0.5b
(cbrt k)
0.5b
(* (cbrt k) (cbrt k))
2.3b
(* (* (pow (* (cbrt k) (cbrt k)) m) a) (/ (pow (cbrt k) m) (+ 1.0 (* k (+ 10.0 k)))))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
72×add-exp-log
42×add-sqr-sqrt associate-*r*
41×prod-exp
34×*-un-lft-identity add-cube-cbrt
31×cbrt-prod
30×times-frac
18×unpow-prod-down
16×add-cbrt-cube
15×div-exp
13×pow1 pow-exp
9×pow-to-exp
8×pow1/3
7×associate-*l* cbrt-unprod
6×swap-sqr
4×add-log-exp unswap-sqr
3×pow-prod-down sqr-pow
2×cbrt-undiv associate-/r/ pow-sqr *-commutative pow-prod-up
1×pow2 flip3-+ pow-plus associate-*r/ flip-+ div-inv
Counts
4 → 133
Calls
4 calls:
1.0ms
(cbrt k)
1.0ms
(cbrt k)
18.0ms
(* (cbrt k) (cbrt k))
87.0ms
(* (* (pow (* (cbrt k) (cbrt k)) m) a) (/ (pow (cbrt k) m) (+ 1.0 (* k (+ 10.0 k)))))

series1.4s

Counts
4 → 12
Calls
4 calls:
262.0ms
(cbrt k)
256.0ms
(cbrt k)
325.0ms
(* (cbrt k) (cbrt k))
583.0ms
(* (* (pow (* (cbrt k) (cbrt k)) m) a) (/ (pow (cbrt k) m) (+ 1.0 (* k (+ 10.0 k)))))

simplify1.2s

Counts
145 → 145
Iterations
IterNodes
done5000
1817
0261

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize116.0ms

Local error

Found 4 expressions with local error:

2.3b
(* (* (pow (* (cbrt k) (cbrt k)) m) a) (/ (pow (cbrt k) m) (+ 1.0 (* k (+ 10.0 k)))))
6.2b
(cbrt (* (* (pow (* (cbrt k) (cbrt k)) m) a) (/ (pow (cbrt k) m) (+ 1.0 (* k (+ 10.0 k))))))
6.2b
(cbrt (* (* (pow (* (cbrt k) (cbrt k)) m) a) (/ (pow (cbrt k) m) (+ 1.0 (* k (+ 10.0 k))))))
6.2b
(cbrt (* (* (pow (* (cbrt k) (cbrt k)) m) a) (/ (pow (cbrt k) m) (+ 1.0 (* k (+ 10.0 k))))))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
70×add-exp-log
40×prod-exp
36×associate-*r*
30×times-frac
24×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×unpow-prod-down
16×add-cbrt-cube
15×div-exp
13×pow-exp
12×cbrt-prod
9×pow-to-exp
6×pow1 cbrt-unprod
4×associate-*r/ add-log-exp
3×cbrt-div pow1/3 sqr-pow
2×cbrt-undiv associate-/r/
1×flip3-+ associate-*l* pow-prod-down *-commutative flip-+ div-inv
Counts
4 → 101
Calls
4 calls:
55.0ms
(* (* (pow (* (cbrt k) (cbrt k)) m) a) (/ (pow (cbrt k) m) (+ 1.0 (* k (+ 10.0 k)))))
22.0ms
(cbrt (* (* (pow (* (cbrt k) (cbrt k)) m) a) (/ (pow (cbrt k) m) (+ 1.0 (* k (+ 10.0 k))))))
27.0ms
(cbrt (* (* (pow (* (cbrt k) (cbrt k)) m) a) (/ (pow (cbrt k) m) (+ 1.0 (* k (+ 10.0 k))))))
22.0ms
(cbrt (* (* (pow (* (cbrt k) (cbrt k)) m) a) (/ (pow (cbrt k) m) (+ 1.0 (* k (+ 10.0 k))))))

series2.8s

Counts
4 → 12
Calls
4 calls:
536.0ms
(* (* (pow (* (cbrt k) (cbrt k)) m) a) (/ (pow (cbrt k) m) (+ 1.0 (* k (+ 10.0 k)))))
705.0ms
(cbrt (* (* (pow (* (cbrt k) (cbrt k)) m) a) (/ (pow (cbrt k) m) (+ 1.0 (* k (+ 10.0 k))))))
793.0ms
(cbrt (* (* (pow (* (cbrt k) (cbrt k)) m) a) (/ (pow (cbrt k) m) (+ 1.0 (* k (+ 10.0 k))))))
763.0ms
(cbrt (* (* (pow (* (cbrt k) (cbrt k)) m) a) (/ (pow (cbrt k) m) (+ 1.0 (* k (+ 10.0 k))))))

simplify2.1s

Counts
113 → 113
Iterations
IterNodes
done5000
1891
0292

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes235.0ms

Accuracy

97% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.3b

bsearch74.0ms

Steps
ItersRangePoint
8
4.921918753835451e+72
1.3595528495947622e+76
5.413206367433749e+73

simplify10.0ms

Iterations
IterNodes
done53
153
040

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.5s11827×body80valid
333.0ms4186×body80nan