Details

Time bar (total: 21.0s)

sample56.0ms

Algorithm
intervals
Results
22.0ms377×body80valid
7.0ms143×body80nan

simplify3.2s

Counts
1 → 1
Iterations
IterNodes
done5003
62078
5627
4203
385
245
124
012

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.7b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* k (+ k 10.0)) 1.0)
0.0b
(* k (+ k 10.0))
0.5b
(/ (pow k m) (+ (* k (+ k 10.0)) 1.0))
2.3b
(* (/ (pow k m) (+ (* k (+ k 10.0)) 1.0)) a)

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
45×times-frac
39×*-un-lft-identity
37×add-cube-cbrt
30×associate-*l*
22×unpow-prod-down
21×add-exp-log
13×add-cbrt-cube
8×pow1 sqr-pow
7×associate-*r* associate-/l*
6×div-exp add-log-exp
5×prod-exp unswap-sqr
4×flip3-+ associate-/r/ flip-+
3×associate-/r* cbrt-unprod
2×distribute-rgt-in pow-to-exp cbrt-undiv associate-+l+ distribute-lft-in pow-prod-down pow-exp associate-*r/ *-commutative div-inv
1×+-commutative clear-num sum-log frac-2neg associate-*l/ distribute-lft-out
Counts
4 → 133
Calls
4 calls:
19.0ms
(+ (* k (+ k 10.0)) 1.0)
32.0ms
(* k (+ k 10.0))
18.0ms
(/ (pow k m) (+ (* k (+ k 10.0)) 1.0))
57.0ms
(* (/ (pow k m) (+ (* k (+ k 10.0)) 1.0)) a)

series391.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ (* k (+ k 10.0)) 1.0)
84.0ms
(* k (+ k 10.0))
111.0ms
(/ (pow k m) (+ (* k (+ k 10.0)) 1.0))
172.0ms
(* (/ (pow k m) (+ (* k (+ k 10.0)) 1.0)) a)

simplify1.8s

Counts
145 → 145
Iterations
IterNodes
done5002
22247
1656
0249

prune943.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 2.2b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log
18×add-sqr-sqrt
13×*-un-lft-identity add-cbrt-cube
11×add-cube-cbrt
10×associate-*l*
7×associate-*r* prod-exp
6×pow1 add-log-exp
4×unpow-prod-down div-exp unswap-sqr
3×associate-/r* flip3-+ times-frac cbrt-unprod flip-+
2×distribute-rgt-in pow-to-exp cbrt-undiv associate-+l+ distribute-lft-in pow-exp associate-*r/ associate-/r/ *-commutative sqr-pow
1×+-commutative clear-num sum-log frac-2neg pow-prod-down div-inv distribute-lft-out associate-/l*
Counts
4 → 86
Calls
4 calls:
18.0ms
(+ (* k (+ k 10.0)) 1.0)
18.0ms
(* (pow k m) a)
21.0ms
(* k (+ k 10.0))
30.0ms
(/ (* (pow k m) a) (+ (* k (+ k 10.0)) 1.0))

series374.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ (* k (+ k 10.0)) 1.0)
129.0ms
(* (pow k m) a)
73.0ms
(* k (+ k 10.0))
139.0ms
(/ (* (pow k m) a) (+ (* k (+ k 10.0)) 1.0))

simplify1.6s

Counts
98 → 98
Iterations
IterNodes
done5008
21730
1491
0178

prune597.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize67.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
64×add-exp-log
33×prod-exp
24×add-sqr-sqrt
22×cbrt-prod
17×div-exp
16×*-un-lft-identity add-cube-cbrt
13×add-cbrt-cube
12×pow-exp
11×pow1
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 → 101
Calls
4 calls:
1.0ms
(cbrt k)
1.0ms
(cbrt k)
18.0ms
(* (cbrt k) (cbrt k))
38.0ms
(/ (* (pow (* (cbrt k) (cbrt k)) m) (* (pow (cbrt k) m) a)) (+ (* k (+ k 10.0)) 1.0))

series1.8s

Counts
4 → 12
Calls
4 calls:
293.0ms
(cbrt k)
252.0ms
(cbrt k)
310.0ms
(* (cbrt k) (cbrt k))
907.0ms
(/ (* (pow (* (cbrt k) (cbrt k)) m) (* (pow (cbrt k) m) a)) (+ (* k (+ k 10.0)) 1.0))

simplify2.3s

Counts
113 → 113
Iterations
IterNodes
done5001
22123
1573
0198

prune690.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (* (cbrt (/ (pow k m) (+ (* k (+ k 10.0)) 1.0))) (cbrt (/ (pow k m) (+ (* k (+ k 10.0)) 1.0)))) (* (cbrt (/ (pow k m) (+ (* k (+ k 10.0)) 1.0))) a))
7.1b
(cbrt (/ (pow k m) (+ (* k (+ k 10.0)) 1.0)))
7.1b
(cbrt (/ (pow k m) (+ (* k (+ k 10.0)) 1.0)))
7.1b
(cbrt (/ (pow k m) (+ (* k (+ k 10.0)) 1.0)))

rewrite255.0ms

Algorithm
rewrite-expression-head
Rules
81×cbrt-prod
63×times-frac
46×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
27×unpow-prod-down
16×pow1 add-exp-log
15×cbrt-div
10×add-cbrt-cube
9×associate-*l/ sqr-pow
8×pow-prod-down prod-exp cbrt-unprod
6×associate-/r/
5×frac-times
4×add-log-exp
3×flip3-+ pow1/3 associate-*r/ flip-+ div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 137
Calls
4 calls:
197.0ms
(* (* (cbrt (/ (pow k m) (+ (* k (+ k 10.0)) 1.0))) (cbrt (/ (pow k m) (+ (* k (+ k 10.0)) 1.0)))) (* (cbrt (/ (pow k m) (+ (* k (+ k 10.0)) 1.0))) a))
9.0ms
(cbrt (/ (pow k m) (+ (* k (+ k 10.0)) 1.0)))
14.0ms
(cbrt (/ (pow k m) (+ (* k (+ k 10.0)) 1.0)))
24.0ms
(cbrt (/ (pow k m) (+ (* k (+ k 10.0)) 1.0)))

series638.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(* (* (cbrt (/ (pow k m) (+ (* k (+ k 10.0)) 1.0))) (cbrt (/ (pow k m) (+ (* k (+ k 10.0)) 1.0)))) (* (cbrt (/ (pow k m) (+ (* k (+ k 10.0)) 1.0))) a))
195.0ms
(cbrt (/ (pow k m) (+ (* k (+ k 10.0)) 1.0)))
150.0ms
(cbrt (/ (pow k m) (+ (* k (+ k 10.0)) 1.0)))
141.0ms
(cbrt (/ (pow k m) (+ (* k (+ k 10.0)) 1.0)))

simplify1.9s

Counts
149 → 149
Iterations
IterNodes
done5000
21669
1561
0247

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes256.0ms

Accuracy

98.5% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.2b

bsearch88.0ms

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

simplify8.0ms

Iterations
IterNodes
done48
148
036

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.5s11827×body80valid
339.0ms4186×body80nan