Details

Time bar (total: 7.8s)

sample34.0ms

Algorithm
intervals
Results
14.0ms382×body80valid
5.0ms144×body80nan

simplify106.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0247
1487
2966
32566
48916
539636
650026

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.6b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* k (+ 10.0 k))
0.0b
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
2.6b
(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
45×times-frac
38×*-un-lft-identity
36×add-cube-cbrt
30×associate-*l*
22×unpow-prod-down
20×add-exp-log
12×add-cbrt-cube
8×sqr-pow
7×pow1 associate-*r* associate-/l*
6×div-exp
5×prod-exp unswap-sqr
4×associate-/r/
3×flip3-+ associate-/r* cbrt-unprod flip-+ add-log-exp
2×cbrt-undiv pow-to-exp associate-*r/ pow-prod-down pow-exp *-commutative div-inv
1×distribute-rgt-in frac-2neg distribute-lft-in associate-*l/ clear-num distribute-lft-out
Counts
3 → 120
Calls
3 calls:
9.0ms
(* k (+ 10.0 k))
11.0ms
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
28.0ms
(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

series223.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* k (+ 10.0 k))
70.0ms
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
105.0ms
(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

simplify70.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06081105
125231041
250011035

prune342.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 2.6b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt k)
0.6b
(cbrt k)
0.6b
(cbrt k)
2.6b
(* (/ (pow (* (cbrt k) (cbrt k)) m) (/ (+ (* k (+ 10.0 k)) 1.0) (pow (cbrt k) m))) a)

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
347×times-frac
189×add-sqr-sqrt
175×associate-*l*
143×add-cube-cbrt *-un-lft-identity
135×unpow-prod-down
62×add-exp-log
57×cbrt-prod sqr-pow
28×div-exp
21×prod-exp
16×unswap-sqr
13×add-cbrt-cube
12×pow-exp
8×pow-to-exp
6×pow1 div-inv
4×add-log-exp
3×cbrt-undiv pow1/3 associate-*r* cbrt-unprod
1×pow-prod-down associate-*l/ associate-/r/ *-commutative
Counts
4 → 257
Calls
4 calls:
0.0ms
(cbrt k)
0.0ms
(cbrt k)
1.0ms
(cbrt k)
81.0ms
(* (/ (pow (* (cbrt k) (cbrt k)) m) (/ (+ (* k (+ 10.0 k)) 1.0) (pow (cbrt k) m))) a)

series1.1s

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt k)
362.0ms
(cbrt k)
179.0ms
(cbrt k)
368.0ms
(* (/ (pow (* (cbrt k) (cbrt k)) m) (/ (+ (* k (+ 10.0 k)) 1.0) (pow (cbrt k) m))) a)

simplify108.0ms

Algorithm
egg-herbie
Counts
269 → 269
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
011613539
140163416
250013392

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt k)
0.6b
(cbrt k)
0.6b
(cbrt k)
4.3b
(/ a (+ (* k (+ 10.0 k)) 1.0))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×associate-/r/
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
Counts
4 → 62
Calls
4 calls:
0.0ms
(cbrt k)
0.0ms
(cbrt k)
0.0ms
(cbrt k)
9.0ms
(/ a (+ (* k (+ 10.0 k)) 1.0))

series599.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt k)
172.0ms
(cbrt k)
186.0ms
(cbrt k)
69.0ms
(/ a (+ (* k (+ 10.0 k)) 1.0))

simplify108.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (103.0ms)

IterNodesCost
0229375
1830347
23887340
35001337

prune266.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
2.6b
(* (/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
16.5b
(sqrt (+ (* k (+ 10.0 k)) 1.0))
16.5b
(sqrt (+ (* k (+ 10.0 k)) 1.0))

rewrite249.0ms

Algorithm
rewrite-expression-head
Rules
1148×times-frac
607×add-sqr-sqrt
583×sqrt-prod
553×add-cube-cbrt *-un-lft-identity
294×associate-*l*
238×unpow-prod-down
82×sqr-pow
48×associate-/l*
34×sqrt-div
30×add-exp-log associate-/r/
18×add-cbrt-cube
17×flip3-+ flip-+
15×div-inv unswap-sqr
14×div-exp
8×pow1
6×cbrt-undiv associate-/r*
5×prod-exp
4×add-log-exp
3×associate-*r* cbrt-unprod
2×pow-to-exp rem-sqrt-square sqrt-pow1 pow1/2 pow-exp
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
4 → 721
Calls
4 calls:
37.0ms
(/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
132.0ms
(* (/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
12.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))
7.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))

series285.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
107.0ms
(* (/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
48.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))
57.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))

simplify151.0ms

Algorithm
egg-herbie
Counts
733 → 733
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
0175413231
1500211898

prune1.7s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.5b

regimes93.0ms

Accuracy

98% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 2.2b

bsearch72.0ms

Steps
ItersRangePoint
9
1.1459739317142672e+154
7.179328180082046e+160
1.2789423205772287e+154

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05446
15446

end0.0ms

sample959.0ms

Algorithm
intervals
Results
477.0ms11941×body80valid
142.0ms4277×body80nan