Details

Time bar (total: 17.3s)

sample98.0ms

Algorithm
intervals
Results
36.0ms383×body80valid
20.0ms147×body80nan

simplify1.2s

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize14.0ms

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))
1.8b
(/ a (/ (+ (* k (+ k 10.0)) 1.0) (pow k m)))

rewrite127.0ms

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:
15.0ms
(+ (* k (+ k 10.0)) 1.0)
48.0ms
(/ (+ (* k (+ k 10.0)) 1.0) (pow k m))
31.0ms
(* k (+ k 10.0))
21.0ms
(/ a (/ (+ (* k (+ k 10.0)) 1.0) (pow k m)))

series406.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ (* k (+ k 10.0)) 1.0)
123.0ms
(/ (+ (* k (+ k 10.0)) 1.0) (pow k m))
56.0ms
(* k (+ k 10.0))
206.0ms
(/ a (/ (+ (* k (+ k 10.0)) 1.0) (pow k m)))

simplify664.0ms

Counts
215 → 215
Iterations
IterNodes
done5001
11050
0376

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(* a (pow k m))
0.0b
(* (+ 10.0 k) k)
0.3b
(/ 1 (/ (+ (* (+ 10.0 k) k) 1.0) (* a (pow k m))))
1.7b
(/ (+ (* (+ 10.0 k) k) 1.0) (* a (pow k m)))

rewrite97.0ms

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))
16.0ms
(* (+ 10.0 k) k)
33.0ms
(/ 1 (/ (+ (* (+ 10.0 k) k) 1.0) (* a (pow k m))))
36.0ms
(/ (+ (* (+ 10.0 k) k) 1.0) (* a (pow k m)))

series423.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(* a (pow k m))
60.0ms
(* (+ 10.0 k) k)
141.0ms
(/ 1 (/ (+ (* (+ 10.0 k) k) 1.0) (* a (pow k m))))
140.0ms
(/ (+ (* (+ 10.0 k) k) 1.0) (* a (pow k m)))

simplify1.6s

Counts
145 → 145
Iterations
IterNodes
done5001
23559
1703
0262

prune598.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

5.3b
(- (* (/ (pow (/ 1 k) (- m)) k) (/ a k)) (/ (* (* 10.0 a) (pow (/ 1 k) (- m))) (pow k 3)))
8.1b
(+ (- (* (/ (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)))
11.9b
(/ (* (pow (/ 1 k) (- m)) 99.0) (/ (pow k 4) a))
13.2b
(/ (* (* 10.0 a) (pow (/ 1 k) (- m))) (pow k 3))

rewrite326.0ms

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:
20.0ms
(- (* (/ (pow (/ 1 k) (- m)) k) (/ a k)) (/ (* (* 10.0 a) (pow (/ 1 k) (- m))) (pow k 3)))
217.0ms
(+ (- (* (/ (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)))
24.0ms
(/ (* (pow (/ 1 k) (- m)) 99.0) (/ (pow k 4) a))
56.0ms
(/ (* (* 10.0 a) (pow (/ 1 k) (- m))) (pow k 3))

series852.0ms

Counts
4 → 12
Calls
4 calls:
282.0ms
(- (* (/ (pow (/ 1 k) (- m)) k) (/ a k)) (/ (* (* 10.0 a) (pow (/ 1 k) (- m))) (pow k 3)))
212.0ms
(+ (- (* (/ (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)))
201.0ms
(/ (* (pow (/ 1 k) (- m)) 99.0) (/ (pow k 4) a))
155.0ms
(/ (* (* 10.0 a) (pow (/ 1 k) (- m))) (pow k 3))

simplify648.0ms

Counts
224 → 224
Iterations
IterNodes
done5000
11376
0453

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

8.9b
(/ (pow k 3) (pow (/ 1 k) (- m)))
10.8b
(sqrt (- (* (/ (pow (/ 1 k) (- m)) k) (/ a k)) (/ (* 10.0 a) (/ (pow k 3) (pow (/ 1 k) (- m))))))
10.8b
(sqrt (- (* (/ (pow (/ 1 k) (- m)) k) (/ a k)) (/ (* 10.0 a) (/ (pow k 3) (pow (/ 1 k) (- m))))))
11.9b
(/ (* (pow (/ 1 k) (- m)) 99.0) (/ (pow k 4) a))

rewrite441.0ms

Algorithm
rewrite-expression-head
Rules
388×times-frac
241×unpow-prod-down
194×add-sqr-sqrt
192×*-un-lft-identity add-cube-cbrt
128×add-exp-log
81×div-exp
54×cube-prod
42×associate-/r*
41×pow-exp
37×sqr-pow
24×prod-exp
20×pow-to-exp
18×cube-mult add-cbrt-cube unpow3
17×div-inv
13×associate-/l*
10×sqrt-div
7×cbrt-undiv rec-exp 1-exp
6×pow1 frac-sub sqrt-prod
4×associate-*l/ add-log-exp
3×associate-/r/
2×neg-sub0 frac-times rem-sqrt-square pow-neg clear-num frac-2neg sqrt-pow1 flip3-- pow1/2 associate-*r/ cbrt-unprod flip-- pow-sub associate-/l/
Counts
4 → 396
Calls
4 calls:
33.0ms
(/ (pow k 3) (pow (/ 1 k) (- m)))
173.0ms
(sqrt (- (* (/ (pow (/ 1 k) (- m)) k) (/ a k)) (/ (* 10.0 a) (/ (pow k 3) (pow (/ 1 k) (- m))))))
195.0ms
(sqrt (- (* (/ (pow (/ 1 k) (- m)) k) (/ a k)) (/ (* 10.0 a) (/ (pow k 3) (pow (/ 1 k) (- m))))))
20.0ms
(/ (* (pow (/ 1 k) (- m)) 99.0) (/ (pow k 4) a))

series878.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(/ (pow k 3) (pow (/ 1 k) (- m)))
321.0ms
(sqrt (- (* (/ (pow (/ 1 k) (- m)) k) (/ a k)) (/ (* 10.0 a) (/ (pow k 3) (pow (/ 1 k) (- m))))))
284.0ms
(sqrt (- (* (/ (pow (/ 1 k) (- m)) k) (/ a k)) (/ (* 10.0 a) (/ (pow k 3) (pow (/ 1 k) (- m))))))
166.0ms
(/ (* (pow (/ 1 k) (- m)) 99.0) (/ (pow k 4) a))

simplify832.0ms

Counts
408 → 408
Iterations
IterNodes
done5001
11511
0665

prune2.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes315.0ms

Accuracy

96.5% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.1b

bsearch75.0ms

Steps
ItersRangePoint
6
2.1392692350079184e+139
2.835082116351698e+140
1.9031409548136811e+140

simplify7.0ms

Iterations
IterNodes
done44
144
034

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.6s11900×body80valid
317.0ms4260×body80nan