Details

Time bar (total: 5.1s)

sample35.0ms

Algorithm
intervals
Results
16.0ms375×body80valid
4.0ms117×body80nan

simplify102.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0247
1535
21065
32695
49045
539765
650015

prune10.0ms

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: 1.2b

Counts
2 → 2

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))
1.2b
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
14×add-sqr-sqrt
10×add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
8×add-log-exp
7×associate-*r*
6×prod-exp
4×unpow-prod-down div-exp
3×pow1 expm1-log1p-u fma-def times-frac associate-*l* associate-/r* sum-log log1p-expm1-u 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 → 72
Calls
3 calls:
5.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
5.0ms
(* a (pow k m))
8.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series191.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
60.0ms
(* a (pow k m))
113.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify57.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0419575
12040495
25002476

prune194.0ms

Filtered
81 candidates to 63 candidates (77.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New76581
Fresh101
Picked011
Done000
Total77683

Merged error: 0.0b

Counts
83 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

2.8b
(/ a (* (cbrt (+ (+ 1.0 (* 10.0 k)) (* k k))) (cbrt (+ (+ 1.0 (* 10.0 k)) (* k k)))))
12.6b
(cbrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
12.6b
(cbrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
12.6b
(cbrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ flip-+
8×associate-/r/
7×add-cbrt-cube
4×pow1 expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv associate-*r/ div-exp associate-*l/
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 76
Calls
4 calls:
13.0ms
(/ a (* (cbrt (+ (+ 1.0 (* 10.0 k)) (* k k))) (cbrt (+ (+ 1.0 (* 10.0 k)) (* k k)))))
4.0ms
(cbrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
8.0ms
(cbrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
4.0ms
(cbrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

series524.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(/ a (* (cbrt (+ (+ 1.0 (* 10.0 k)) (* k k))) (cbrt (+ (+ 1.0 (* 10.0 k)) (* k k)))))
112.0ms
(cbrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
108.0ms
(cbrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
108.0ms
(cbrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify133.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03871085
11299990
24786952
35001952

prune320.0ms

Filtered
88 candidates to 80 candidates (90.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New88088
Fresh044
Picked011
Done011
Total88694

Merged error: 0.0b

Counts
94 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
0.5b
(cbrt a)
1.2b
(/ (* (* (cbrt a) (cbrt a)) (* (cbrt a) (pow k m))) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
38×add-exp-log
18×prod-exp
16×add-cbrt-cube
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity div-exp
8×cbrt-unprod
5×cbrt-undiv
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac pow1/3 associate-/r*
2×pow-to-exp pow-exp associate-/r/
1×frac-2neg flip3-+ clear-num flip-+ div-inv associate-/l*
Counts
4 → 74
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
15.0ms
(/ (* (* (cbrt a) (cbrt a)) (* (cbrt a) (pow k m))) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series698.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt a)
181.0ms
(cbrt a)
183.0ms
(cbrt a)
147.0ms
(/ (* (* (cbrt a) (cbrt a)) (* (cbrt a) (pow k m))) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify67.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0470789
12384606
25001546

prune224.0ms

Filtered
86 candidates to 64 candidates (74.4%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New86086
Fresh033
Picked011
Done022
Total86692

Merged error: 0.0b

Counts
92 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

1.2b
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
5.9b
(cbrt (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))
5.9b
(cbrt (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))
5.9b
(cbrt (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
27×cbrt-prod
14×add-exp-log
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
9×add-cbrt-cube
8×associate-/r/
4×pow1 expm1-log1p-u flip3-+ div-exp flip-+ log1p-expm1-u div-inv add-log-exp
3×cbrt-div pow1/3 prod-exp associate-/r*
2×cbrt-undiv
1×pow-to-exp frac-2neg pow-exp clear-num cbrt-unprod associate-/l*
Counts
4 → 87
Calls
4 calls:
13.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
7.0ms
(cbrt (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))
6.0ms
(cbrt (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))
6.0ms
(cbrt (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))

series762.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
212.0ms
(cbrt (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))
213.0ms
(cbrt (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))
211.0ms
(cbrt (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))

simplify61.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04851523
120611410
250031370

prune369.0ms

Filtered
99 candidates to 92 candidates (92.9%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New99099
Fresh022
Picked011
Done033
Total996105

Merged error: 0.0b

Counts
105 → 6

regimes128.0ms

Accuracy

98.5% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 1.9b

bsearch57.0ms

Steps
ItersRangePoint
7
1.9168819964738418e+56
6.30325191257964e+57
1.0214089933566214e+57

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04834
15434
25434

end0.0ms

sample1.0s

Algorithm
intervals
Results
530.0ms11957×body80valid
164.0ms4335×body80nan