Details

Time bar (total: 4.5s)

sample58.0ms

Algorithm
intervals
Results
28.0ms397×body80valid
6.0ms148×body80nan

simplify106.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (3.0ms)

IterNodesCost
0247
1487
2966
32566
48916
539636
650026

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.4b

Counts
2 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* a (pow k m))
0.0b
(+ (+ 1.0 (* 10.0 k)) (* k k))
0.0b
(+ 1.0 (* 10.0 k))
1.5b
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log
14×add-sqr-sqrt
11×add-cbrt-cube add-log-exp
9×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×prod-exp
4×pow1 unpow-prod-down div-exp sum-log
3×flip3-+ times-frac associate-*l* associate-/r* flip-+ unswap-sqr
2×cbrt-undiv +-commutative pow-to-exp pow-exp associate-/r/ cbrt-unprod sqr-pow
1×associate-+l+ frac-2neg clear-num *-commutative div-inv associate-/l*
Counts
4 → 74
Calls
4 calls:
5.0ms
(* a (pow k m))
5.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
2.0ms
(+ 1.0 (* 10.0 k))
8.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series53.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* a (pow k m))
3.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
3.0ms
(+ 1.0 (* 10.0 k))
33.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify61.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0471611
12227545
25002538

prune118.0ms

Filtered
63 candidates to 86 candidates (-36.5%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New83386
Fresh101
Picked101
Done000
Total85388

Merged error: 1.4b

Counts
88 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (* k (+ 10.0 k)))
0.0b
(* a (pow k m))
0.0b
(* k (+ 10.0 k))
1.5b
(/ (* a (pow k m)) (+ 1.0 (* k (+ 10.0 k))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log
18×add-sqr-sqrt
13×*-un-lft-identity add-cbrt-cube
11×add-cube-cbrt associate-*r*
7×prod-exp
6×pow1 associate-*l* add-log-exp
4×unpow-prod-down div-exp unswap-sqr
3×flip3-+ times-frac associate-/r* cbrt-unprod flip-+
2×cbrt-undiv distribute-rgt-in pow-to-exp associate-+r+ distribute-lft-in associate-*r/ pow-exp associate-/r/ *-commutative sqr-pow
1×+-commutative frac-2neg pow-prod-down clear-num sum-log div-inv distribute-lft-out associate-/l*
Counts
4 → 86
Calls
4 calls:
3.0ms
(+ 1.0 (* k (+ 10.0 k)))
5.0ms
(* a (pow k m))
6.0ms
(* k (+ 10.0 k))
6.0ms
(/ (* a (pow k m)) (+ 1.0 (* k (+ 10.0 k))))

series57.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ 1.0 (* k (+ 10.0 k)))
17.0ms
(* a (pow k m))
4.0ms
(* k (+ 10.0 k))
33.0ms
(/ (* a (pow k m)) (+ 1.0 (* k (+ 10.0 k))))

simplify66.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0486585
12438526
25001521

prune112.0ms

Filtered
68 candidates to 98 candidates (-44.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New97198
Fresh112
Picked011
Done000
Total983101

Merged error: 1.4b

Counts
101 → 3

localize11.0ms

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))
0.1b
(/ 1 (/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m)))
4.1b
(/ (+ 1.0 (* k (+ 10.0 k))) a)

rewrite88.0ms

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:
10.0ms
(/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m))
6.0ms
(* k (+ 10.0 k))
24.0ms
(/ 1 (/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m)))
5.0ms
(/ (+ 1.0 (* k (+ 10.0 k))) a)

series76.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m))
4.0ms
(* k (+ 10.0 k))
35.0ms
(/ 1 (/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m)))
6.0ms
(/ (+ 1.0 (* k (+ 10.0 k))) a)

simplify134.0ms

Algorithm
egg-herbie
Counts
614 → 614
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
022039184
150018752

prune1.1s

Filtered
380 candidates to 614 candidates (-61.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New6122614
Fresh011
Picked011
Done011
Total6125617

Merged error: 1.4b

Counts
617 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ a (sqrt (+ 1.0 (* k (+ 10.0 k)))))
0.1b
(* (/ a (sqrt (+ 1.0 (* k (+ 10.0 k))))) (/ (pow k m) (sqrt (+ 1.0 (* k (+ 10.0 k))))))
13.3b
(sqrt (+ 1.0 (* k (+ 10.0 k))))
13.3b
(sqrt (+ 1.0 (* k (+ 10.0 k))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
131×add-sqr-sqrt
110×times-frac
64×sqrt-prod
61×add-cube-cbrt *-un-lft-identity
48×associate-*r*
30×add-exp-log
24×unpow-prod-down associate-*l*
21×unswap-sqr
18×add-cbrt-cube
12×sqr-pow
11×div-exp
10×sqrt-div
8×pow1 prod-exp
6×associate-/r* associate-/r/
5×cbrt-undiv flip3-+ flip-+
4×cbrt-unprod add-log-exp
3×div-inv associate-/l*
2×pow-to-exp rem-sqrt-square sqrt-pow1 pow1/2 pow-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 188
Calls
4 calls:
5.0ms
(/ a (sqrt (+ 1.0 (* k (+ 10.0 k)))))
34.0ms
(* (/ a (sqrt (+ 1.0 (* k (+ 10.0 k))))) (/ (pow k m) (sqrt (+ 1.0 (* k (+ 10.0 k))))))
2.0ms
(sqrt (+ 1.0 (* k (+ 10.0 k))))
3.0ms
(sqrt (+ 1.0 (* k (+ 10.0 k))))

series57.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ a (sqrt (+ 1.0 (* k (+ 10.0 k)))))
32.0ms
(* (/ a (sqrt (+ 1.0 (* k (+ 10.0 k))))) (/ (pow k m) (sqrt (+ 1.0 (* k (+ 10.0 k))))))
3.0ms
(sqrt (+ 1.0 (* k (+ 10.0 k))))
4.0ms
(sqrt (+ 1.0 (* k (+ 10.0 k))))

simplify102.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
09202759
142262578
250012498

prune360.0ms

Filtered
131 candidates to 200 candidates (-52.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2000200
Fresh022
Picked011
Done022
Total2005205

Merged error: 1.4b

Counts
205 → 5

regimes164.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1156

end0.0ms

sample1.6s

Algorithm
intervals
Results
835.0ms11925×body80valid
192.0ms4377×body80nan

Profiling

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