Details

Time bar (total: 15.4s)

sample63.0ms

Algorithm
intervals
Results
26.0ms365×body80valid
9.0ms156×body80nan

simplify1.3s

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* k (+ k 10.0)) 1.0)
0.0b
(/ (+ (* k (+ k 10.0)) 1.0) (pow k m))
0.0b
(* k (+ k 10.0))
2.4b
(/ a (/ (+ (* k (+ k 10.0)) 1.0) (pow k m)))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
180×times-frac
106×add-sqr-sqrt *-un-lft-identity
104×add-cube-cbrt
48×unpow-prod-down
32×associate-/r*
21×add-exp-log
16×sqr-pow
13×add-cbrt-cube
10×div-exp
6×pow1 div-inv associate-/l* add-log-exp
4×cbrt-undiv associate-*r*
3×flip3-+ associate-*l* flip-+
2×distribute-rgt-in pow-to-exp associate-+l+ clear-num frac-2neg distribute-lft-in pow-exp associate-*r/ associate-/l/
1×+-commutative sum-log pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
4 → 203
Calls
4 calls:
9.0ms
(+ (* k (+ k 10.0)) 1.0)
29.0ms
(/ (+ (* k (+ k 10.0)) 1.0) (pow k m))
20.0ms
(* k (+ k 10.0))
24.0ms
(/ a (/ (+ (* k (+ k 10.0)) 1.0) (pow k m)))

series416.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ (* k (+ k 10.0)) 1.0)
125.0ms
(/ (+ (* k (+ k 10.0)) 1.0) (pow k m))
86.0ms
(* k (+ k 10.0))
171.0ms
(/ a (/ (+ (* k (+ k 10.0)) 1.0) (pow k m)))

simplify731.0ms

Counts
215 → 215
Iterations
IterNodes
done5001
11050
0376

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt k)
0.6b
(cbrt k)
18.4b
(sqrt (+ (* (+ 10.0 k) k) 1.0))
18.4b
(sqrt (+ (* k (+ k 10.0)) 1.0))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
6×cbrt-prod pow1 sqrt-prod
4×add-cbrt-cube sqrt-div add-exp-log add-log-exp
2×rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 pow1/3 flip-+
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt k)
1.0ms
(cbrt k)
14.0ms
(sqrt (+ (* (+ 10.0 k) k) 1.0))
22.0ms
(sqrt (+ (* k (+ k 10.0)) 1.0))

series673.0ms

Counts
4 → 12
Calls
4 calls:
259.0ms
(cbrt k)
285.0ms
(cbrt k)
71.0ms
(sqrt (+ (* (+ 10.0 k) k) 1.0))
57.0ms
(sqrt (+ (* k (+ k 10.0)) 1.0))

simplify520.0ms

Counts
64 → 64
Iterations
IterNodes
done5001
2869
1236
0106

prune620.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(* a (pow k m))
0.0b
(* (+ 10.0 k) k)
0.1b
(/ 1 (/ (+ (* (+ 10.0 k) k) 1.0) (* a (pow k m))))
2.4b
(/ (+ (* (+ 10.0 k) k) 1.0) (* a (pow k m)))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
59×add-exp-log
36×times-frac
34×add-sqr-sqrt
29×*-un-lft-identity
27×add-cube-cbrt
26×div-exp
22×add-cbrt-cube
16×prod-exp
10×associate-*r*
8×associate-/r*
7×pow1 cbrt-undiv associate-*l*
6×div-inv associate-/l*
5×pow-to-exp rec-exp 1-exp pow-exp
4×unpow-prod-down cbrt-unprod add-log-exp unswap-sqr
2×clear-num frac-2neg flip3-+ associate-*l/ *-commutative flip-+ sqr-pow associate-/l/
1×pow-prod-down associate-/r/ pow-flip distribute-lft-out inv-pow
Counts
4 → 133
Calls
4 calls:
9.0ms
(* a (pow k m))
30.0ms
(* (+ 10.0 k) k)
27.0ms
(/ 1 (/ (+ (* (+ 10.0 k) k) 1.0) (* a (pow k m))))
67.0ms
(/ (+ (* (+ 10.0 k) k) 1.0) (* a (pow k m)))

series504.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* a (pow k m))
70.0ms
(* (+ 10.0 k) k)
168.0ms
(/ 1 (/ (+ (* (+ 10.0 k) k) 1.0) (* a (pow k m))))
192.0ms
(/ (+ (* (+ 10.0 k) k) 1.0) (* a (pow k m)))

simplify2.1s

Counts
145 → 145
Iterations
IterNodes
done5001
23559
1703
0262

prune546.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 4 expressions with local error:

7.1b
(- (* (/ (pow (/ 1 k) (- m)) k) (/ a k)) (/ (* (* 10.0 a) (pow (/ 1 k) (- m))) (pow k 3)))
9.7b
(/ (* (pow (/ 1 k) (- m)) 99.0) (/ (pow k 4) a))
10.6b
(+ (- (* (/ (pow (/ 1 k) (- m)) k) (/ a k)) (/ (* (* 10.0 a) (pow (/ 1 k) (- m))) (pow k 3))) (/ (* (pow (/ 1 k) (- m)) 99.0) (/ (pow k 4) a)))
11.0b
(/ (* (* 10.0 a) (pow (/ 1 k) (- m))) (pow k 3))

rewrite336.0ms

Algorithm
rewrite-expression-head
Rules
217×add-exp-log
108×div-exp
79×times-frac
78×prod-exp
60×pow-exp
40×*-un-lft-identity
38×add-sqr-sqrt add-cube-cbrt
37×associate-/r*
30×pow-to-exp
25×add-cbrt-cube
24×unpow-prod-down
11×add-log-exp
10×rec-exp 1-exp
9×cbrt-undiv
8×sqr-pow
6×cube-prod frac-sub
5×frac-add cbrt-unprod associate-/l/
4×pow1 associate-*l/ associate-*r/ div-inv
3×pow-neg
2×neg-sub0 cube-mult frac-times associate-+l+ clear-num sum-log sub-neg frac-2neg flip3-- diff-log unpow3 flip-- associate-/l* pow-sub
1×+-commutative flip3-+ associate-/r/ un-div-inv associate-+l- flip-+ distribute-lft-out
Counts
4 → 212
Calls
4 calls:
36.0ms
(- (* (/ (pow (/ 1 k) (- m)) k) (/ a k)) (/ (* (* 10.0 a) (pow (/ 1 k) (- m))) (pow k 3)))
24.0ms
(/ (* (pow (/ 1 k) (- m)) 99.0) (/ (pow k 4) a))
206.0ms
(+ (- (* (/ (pow (/ 1 k) (- m)) k) (/ a k)) (/ (* (* 10.0 a) (pow (/ 1 k) (- m))) (pow k 3))) (/ (* (pow (/ 1 k) (- m)) 99.0) (/ (pow k 4) a)))
48.0ms
(/ (* (* 10.0 a) (pow (/ 1 k) (- m))) (pow k 3))

series770.0ms

Counts
4 → 12
Calls
4 calls:
241.0ms
(- (* (/ (pow (/ 1 k) (- m)) k) (/ a k)) (/ (* (* 10.0 a) (pow (/ 1 k) (- m))) (pow k 3)))
153.0ms
(/ (* (pow (/ 1 k) (- m)) 99.0) (/ (pow k 4) a))
238.0ms
(+ (- (* (/ (pow (/ 1 k) (- m)) k) (/ a k)) (/ (* (* 10.0 a) (pow (/ 1 k) (- m))) (pow k 3))) (/ (* (pow (/ 1 k) (- m)) 99.0) (/ (pow k 4) a)))
137.0ms
(/ (* (* 10.0 a) (pow (/ 1 k) (- m))) (pow k 3))

simplify712.0ms

Counts
224 → 224
Iterations
IterNodes
done5000
11376
0453

prune1.3s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes250.0ms

Accuracy

93.3% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.1b

bsearch102.0ms

Steps
ItersRangePoint
7
257785.57693934403
20118063.614914328
14158963.133433247

simplify12.0ms

Iterations
IterNodes
done56
256
155
044

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.6s11951×body80valid
295.0ms4190×body80nan