Details

Time bar (total: 4.9s)

sample37.0ms

Algorithm
intervals
Results
17.0ms393×body80valid
4.0ms127×body80nan

simplify101.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0247
1535
21065
32695
49045
539765
650015

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.7b

Counts
2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* a (pow k m))
0.0b
(+ 1.0 (* 10.0 k))
0.0b
(+ (+ 1.0 (* 10.0 k)) (* k k))
0.7b
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log
16×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
7×associate-*r*
6×fma-def prod-exp
4×pow1 expm1-log1p-u unpow-prod-down div-exp sum-log log1p-expm1-u
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 → 88
Calls
4 calls:
5.0ms
(* a (pow k m))
3.0ms
(+ 1.0 (* 10.0 k))
5.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
8.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series229.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* a (pow k m))
32.0ms
(+ 1.0 (* 10.0 k))
18.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
119.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify58.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0477629
12275544
25001524

prune275.0ms

Filtered
100 candidates to 79 candidates (79.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New955100
Fresh101
Picked101
Done000
Total975102

Merged error: 0.0b

Counts
102 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt k)
0.6b
(cbrt k)
0.6b
(cbrt k)
0.7b
(/ (* (* a (pow (* (cbrt k) (cbrt k)) m)) (pow (cbrt k) m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
58×add-exp-log
30×prod-exp
16×div-exp
13×add-cbrt-cube
11×pow-exp
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×pow-to-exp
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv times-frac pow1/3 associate-/r* cbrt-unprod
2×associate-/r/
1×frac-2neg flip3-+ clear-num flip-+ div-inv associate-/l*
Counts
4 → 79
Calls
4 calls:
1.0ms
(cbrt k)
1.0ms
(cbrt k)
1.0ms
(cbrt k)
12.0ms
(/ (* (* a (pow (* (cbrt k) (cbrt k)) m)) (pow (cbrt k) m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series900.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt k)
182.0ms
(cbrt k)
173.0ms
(cbrt k)
371.0ms
(/ (* (* a (pow (* (cbrt k) (cbrt k)) m)) (pow (cbrt k) m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify65.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0514921
12446788
25001734

prune304.0ms

Filtered
91 candidates to 65 candidates (71.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New91091
Fresh044
Picked011
Done000
Total91596

Merged error: 0.0b

Counts
96 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* a (pow k m))
0.0b
(fma 10.0 k 1.0)
0.2b
(/ 1 (fma k k (fma 10.0 k 1.0)))
0.7b
(* (* a (pow k m)) (/ 1 (fma k k (fma 10.0 k 1.0))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
57×add-exp-log
31×prod-exp
27×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
20×associate-*r* add-cbrt-cube
18×times-frac
10×div-exp
7×pow1 cbrt-unprod
5×pow-to-exp rec-exp 1-exp pow-exp
4×expm1-log1p-u unpow-prod-down associate-*l* log1p-expm1-u add-log-exp
3×cbrt-undiv associate-/r* associate-/l* unswap-sqr
2×*-commutative div-inv sqr-pow
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv fma-udef inv-pow
Counts
4 → 117
Calls
4 calls:
5.0ms
(* a (pow k m))
1.0ms
(fma 10.0 k 1.0)
3.0ms
(/ 1 (fma k k (fma 10.0 k 1.0)))
8.0ms
(* (* a (pow k m)) (/ 1 (fma k k (fma 10.0 k 1.0))))

series251.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* a (pow k m))
30.0ms
(fma 10.0 k 1.0)
43.0ms
(/ 1 (fma k k (fma 10.0 k 1.0)))
116.0ms
(* (* a (pow k m)) (/ 1 (fma k k (fma 10.0 k 1.0))))

simplify65.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0512805
12653698
25001671

prune289.0ms

Filtered
129 candidates to 77 candidates (59.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1281129
Fresh123
Picked101
Done011
Total1304134

Merged error: 0.0b

Counts
134 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* a (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
0.0b
(/ (/ (* a (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
12.1b
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
12.1b
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
120×times-frac
72×sqrt-prod
61×add-sqr-sqrt
57×add-cube-cbrt *-un-lft-identity
30×add-exp-log
22×sqrt-div
18×associate-/r/ add-cbrt-cube
13×div-exp associate-/l*
12×associate-/r*
11×flip3-+ flip-+
9×div-inv
7×cbrt-undiv
6×pow1 prod-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow-to-exp rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 pow-exp clear-num cbrt-unprod hypot-def
1×associate-/l/
Counts
4 → 182
Calls
4 calls:
9.0ms
(/ (* a (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
16.0ms
(/ (/ (* a (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
4.0ms
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
4.0ms
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

series413.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(/ (* a (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
145.0ms
(/ (/ (* a (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
53.0ms
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
53.0ms
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify89.0ms

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
07733506
133803103
250033090

prune484.0ms

Filtered
194 candidates to 124 candidates (63.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1940194
Fresh022
Picked011
Done011
Total1944198

Merged error: 0.0b

Counts
198 → 4

regimes85.0ms

Accuracy

0% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02113
12113

end0.0ms

sample1.1s

Algorithm
intervals
Results
556.0ms11903×body80valid
174.0ms4445×body80nan