Details

Time bar (total: 3.4s)

sample53.0ms

Algorithm
intervals
Results
25.0ms365×body80valid
7.0ms157×body80nan

simplify109.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0247
1487
2966
32566
48916
539636
650026

prune10.0ms

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: 1.5b

Counts
2 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (* 10.0 k))
0.0b
(* a (pow k m))
0.0b
(+ (+ 1.0 (* 10.0 k)) (* k 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:
2.0ms
(+ 1.0 (* 10.0 k))
5.0ms
(* a (pow k m))
5.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
8.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series51.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ 1.0 (* 10.0 k))
14.0ms
(* a (pow k m))
3.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
32.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify63.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0471611
12227545
25002538

prune116.0ms

Filtered
86 candidates to 63 candidates (26.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New82486
Fresh101
Picked101
Done000
Total84488

Merged error: 1.5b

Counts
88 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
17×add-sqr-sqrt
12×*-un-lft-identity add-cbrt-cube
11×associate-*r*
10×add-cube-cbrt
7×prod-exp
6×associate-*l*
5×pow1
4×unpow-prod-down div-exp unswap-sqr
3×times-frac associate-/r* cbrt-unprod add-log-exp
2×cbrt-undiv pow-to-exp flip3-+ associate-*r/ pow-exp associate-/r/ *-commutative flip-+ sqr-pow
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num div-inv distribute-lft-out associate-/l*
Counts
3 → 73
Calls
3 calls:
5.0ms
(* a (pow k m))
5.0ms
(* k (+ 10.0 k))
6.0ms
(/ (* a (pow k m)) (+ 1.0 (* k (+ 10.0 k))))

series52.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(* a (pow k m))
4.0ms
(* k (+ 10.0 k))
31.0ms
(/ (* a (pow k m)) (+ 1.0 (* k (+ 10.0 k))))

simplify64.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0460505
12306453
25001448

prune100.0ms

Filtered
82 candidates to 57 candidates (30.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New81182
Fresh123
Picked011
Done000
Total82486

Merged error: 1.5b

Counts
86 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* k (+ 10.0 k))
0.1b
(/ (/ (* a (pow k m)) (sqrt (+ 1.0 (* k (+ 10.0 k))))) (sqrt (+ 1.0 (* k (+ 10.0 k)))))
11.7b
(sqrt (+ 1.0 (* k (+ 10.0 k))))
11.7b
(sqrt (+ 1.0 (* k (+ 10.0 k))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
66×sqrt-prod
59×add-sqr-sqrt
57×*-un-lft-identity
55×add-cube-cbrt
22×add-exp-log
20×sqrt-div
16×associate-/r/
15×add-cbrt-cube
12×associate-/l*
11×flip3-+ flip-+
9×div-exp
8×pow1 div-inv
6×associate-/r*
5×cbrt-undiv
4×associate-*r* prod-exp add-log-exp
3×associate-*l*
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ cbrt-unprod
1×distribute-rgt-in pow-to-exp frac-2neg distribute-lft-in pow-prod-down pow-exp clear-num *-commutative associate-/l/ distribute-lft-out unswap-sqr
Counts
4 → 164
Calls
4 calls:
6.0ms
(* k (+ 10.0 k))
12.0ms
(/ (/ (* a (pow k m)) (sqrt (+ 1.0 (* k (+ 10.0 k))))) (sqrt (+ 1.0 (* k (+ 10.0 k)))))
3.0ms
(sqrt (+ 1.0 (* k (+ 10.0 k))))
3.0ms
(sqrt (+ 1.0 (* k (+ 10.0 k))))

series46.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* k (+ 10.0 k))
34.0ms
(/ (/ (* a (pow k m)) (sqrt (+ 1.0 (* k (+ 10.0 k))))) (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))))

simplify94.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07792694
134922422
250032422

prune283.0ms

Filtered
176 candidates to 107 candidates (39.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1760176
Fresh022
Picked011
Done011
Total1764180

Merged error: 1.5b

Counts
180 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

1.5b
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
1.5b
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
5.5b
(sqrt (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))
5.5b
(sqrt (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log
18×sqrt-prod
14×add-sqr-sqrt add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity times-frac
8×div-exp associate-/r/
6×pow1 prod-exp associate-/r*
4×cbrt-undiv flip3-+ flip-+ div-inv add-log-exp
2×pow-to-exp rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 sqrt-div pow-exp clear-num cbrt-unprod associate-/l*
Counts
4 → 90
Calls
4 calls:
8.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
8.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
6.0ms
(sqrt (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))
7.0ms
(sqrt (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))

series182.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
32.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
59.0ms
(sqrt (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))
60.0ms
(sqrt (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))

simplify60.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04471288
120461186
250011178

prune180.0ms

Filtered
102 candidates to 78 candidates (23.5%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1020102
Fresh011
Picked011
Done022
Total1024106

Merged error: 1.5b

Counts
106 → 4

regimes197.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1156

end0.0ms

sample1.6s

Algorithm
intervals
Results
830.0ms12028×body80valid
197.0ms4369×body80nan

Profiling

Loading profile data...