Details

Time bar (total: 5.8s)

sample39.0ms

Algorithm
intervals
Results
15.0ms397×body80valid
4.0ms137×body80nan

simplify107.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0247
1487
2966
32566
48916
539636
650026

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ 1.0 (* 10.0 k)) (* k k))
0.0b
(* a (pow k m))
3.3b
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
13×add-sqr-sqrt
10×add-cbrt-cube
8×add-cube-cbrt *-un-lft-identity add-log-exp
7×associate-*r*
6×prod-exp
4×unpow-prod-down div-exp
3×pow1 times-frac associate-*l* associate-/r* sum-log unswap-sqr
2×cbrt-undiv pow-to-exp flip3-+ pow-exp associate-/r/ cbrt-unprod flip-+ sqr-pow
1×+-commutative associate-+l+ frac-2neg clear-num *-commutative div-inv associate-/l*
Counts
3 → 63
Calls
3 calls:
24.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
11.0ms
(* a (pow k m))
31.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series206.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
65.0ms
(* a (pow k m))
123.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify54.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0405548
11965482
25001475

prune177.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 3.3b

localize18.0ms

Local error

Found 4 expressions with local error:

2.1b
(/ (* a (pow k m)) (* (cbrt (+ (+ 1.0 (* 10.0 k)) (* k k))) (cbrt (+ (+ 1.0 (* 10.0 k)) (* k k)))))
17.6b
(cbrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
17.6b
(cbrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
17.6b
(cbrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log
18×cbrt-div
12×add-cbrt-cube
10×prod-exp
9×cbrt-prod flip3-+ flip-+
8×div-exp associate-/r/
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 cbrt-undiv frac-times cbrt-unprod add-log-exp
3×pow1/3
2×pow-to-exp associate-*r/ associate-*l/ pow-exp
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 72
Calls
4 calls:
45.0ms
(/ (* a (pow k m)) (* (cbrt (+ (+ 1.0 (* 10.0 k)) (* k k))) (cbrt (+ (+ 1.0 (* 10.0 k)) (* k k)))))
11.0ms
(cbrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
12.0ms
(cbrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
11.0ms
(cbrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

series560.0ms

Counts
4 → 12
Calls
4 calls:
239.0ms
(/ (* a (pow k m)) (* (cbrt (+ (+ 1.0 (* 10.0 k)) (* k k))) (cbrt (+ (+ 1.0 (* 10.0 k)) (* k k)))))
111.0ms
(cbrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
105.0ms
(cbrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
105.0ms
(cbrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify56.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05231193
120131045
250031028

prune320.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 3.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m))
0.0b
(* k (+ 10.0 k))
0.3b
(/ 1 (/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m)))
6.3b
(/ (+ 1.0 (* k (+ 10.0 k))) a)

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
1073×times-frac
500×add-sqr-sqrt *-un-lft-identity
498×add-cube-cbrt
198×unpow-prod-down
105×associate-/r*
70×add-exp-log
66×sqr-pow
51×div-exp
43×div-inv
22×add-cbrt-cube
19×associate-/l*
10×cbrt-undiv
8×pow-to-exp pow-exp
7×pow1 rec-exp 1-exp
4×associate-*r* add-log-exp
3×frac-2neg associate-*l* clear-num associate-/l/
2×flip3-+ associate-*r/ flip-+
1×distribute-rgt-in pow-flip distribute-lft-in pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod distribute-lft-out inv-pow unswap-sqr
Counts
4 → 602
Calls
4 calls:
32.0ms
(/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m))
20.0ms
(* k (+ 10.0 k))
33.0ms
(/ 1 (/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m)))
28.0ms
(/ (+ 1.0 (* k (+ 10.0 k))) a)

series314.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m))
47.0ms
(* k (+ 10.0 k))
113.0ms
(/ 1 (/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m)))
41.0ms
(/ (+ 1.0 (* k (+ 10.0 k))) a)

simplify120.0ms

Algorithm
egg-herbie
Counts
614 → 614
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
021789172
150028740

prune1.4s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 3.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* a (pow k m))
0.0b
(/ (/ (* a (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
17.1b
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
17.1b
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
66×sqrt-prod
63×add-sqr-sqrt
56×add-cube-cbrt *-un-lft-identity
25×add-exp-log
20×sqrt-div
16×associate-/r/
15×add-cbrt-cube
12×associate-/l*
10×flip3-+ flip-+
9×div-exp
8×div-inv
7×associate-*r*
6×pow1 prod-exp associate-/r*
5×cbrt-undiv
4×unpow-prod-down add-log-exp
3×associate-*l* unswap-sqr
2×pow-to-exp rem-sqrt-square sqrt-pow1 pow1/2 pow-exp cbrt-unprod sqr-pow
1×frac-2neg clear-num *-commutative associate-/l/
Counts
4 → 166
Calls
4 calls:
12.0ms
(* a (pow k m))
71.0ms
(/ (/ (* a (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
21.0ms
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
27.0ms
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

series284.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* a (pow k m))
119.0ms
(/ (/ (* a (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
54.0ms
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
47.0ms
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify92.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07393131
137082808
250022808

prune435.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 3.3b

regimes101.0ms

Accuracy

0% (0.0b remaining)

Error of 1.9b against oracle of 1.9b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0167
1167

end0.0ms

sample1.1s

Algorithm
intervals
Results
467.0ms11815×body80valid
136.0ms4199×body80nan