Details

Time bar (total: 5.1s)

sample38.0ms

Algorithm
intervals
Results
14.0ms377×body80valid
5.0ms145×body80nan

simplify102.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0247
1487
2966
32566
48916
539636
650026

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* k (+ 10.0 k))
0.3b
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
2.3b
(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

rewrite108.0ms

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:
22.0ms
(* k (+ 10.0 k))
23.0ms
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
59.0ms
(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

series194.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(* k (+ 10.0 k))
58.0ms
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
94.0ms
(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

simplify68.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06081105
125231041
250011035

prune317.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.5b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* k (+ 10.0 k))
0.5b
(/ 1 (+ (* k (+ 10.0 k)) 1.0))
2.3b
(* (* (pow k m) (/ 1 (+ (* k (+ 10.0 k)) 1.0))) a)

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
26×prod-exp
16×add-sqr-sqrt *-un-lft-identity add-cbrt-cube
14×add-cube-cbrt
9×times-frac
8×pow1 div-exp
7×associate-*r*
6×cbrt-unprod
4×pow-to-exp rec-exp 1-exp associate-*l* pow-exp
3×associate-*r/ associate-/r* associate-/l* add-log-exp
2×cbrt-undiv flip3-+ pow-prod-down associate-*l/ associate-/r/ *-commutative flip-+
1×distribute-rgt-in pow-flip frac-2neg distribute-lft-in clear-num un-div-inv div-inv distribute-lft-out inv-pow unswap-sqr
Counts
3 → 87
Calls
3 calls:
21.0ms
(* k (+ 10.0 k))
22.0ms
(/ 1 (+ (* k (+ 10.0 k)) 1.0))
71.0ms
(* (* (pow k m) (/ 1 (+ (* k (+ 10.0 k)) 1.0))) a)

series165.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(* k (+ 10.0 k))
31.0ms
(/ 1 (+ (* k (+ 10.0 k)) 1.0))
94.0ms
(* (* (pow k m) (/ 1 (+ (* k (+ 10.0 k)) 1.0))) a)

simplify65.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0533695
12412604
25003587

prune177.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 2.5b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
10.5b
(cbrt (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)))
10.5b
(cbrt (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)))
10.5b
(cbrt (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
81×cbrt-prod
62×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
39×unpow-prod-down
13×sqr-pow
9×add-exp-log
8×associate-/r/
7×associate-/l*
6×add-cbrt-cube
4×pow1 flip3-+ flip-+ div-inv add-log-exp
3×cbrt-div pow1/3 div-exp associate-/r*
1×cbrt-undiv pow-to-exp frac-2neg pow-exp clear-num
Counts
4 → 155
Calls
4 calls:
26.0ms
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
12.0ms
(cbrt (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)))
12.0ms
(cbrt (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)))
12.0ms
(cbrt (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)))

series372.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
103.0ms
(cbrt (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)))
102.0ms
(cbrt (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)))
104.0ms
(cbrt (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)))

simplify59.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04442260
114652176
250012143

prune633.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 2.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ (pow k (/ m 2)) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (/ (pow k (/ m 2)) (sqrt (+ (* k (+ 10.0 k)) 1.0))))
2.3b
(* (* (/ (pow k (/ m 2)) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (/ (pow k (/ m 2)) (sqrt (+ (* k (+ 10.0 k)) 1.0)))) a)
18.9b
(sqrt (+ (* k (+ 10.0 k)) 1.0))
18.9b
(sqrt (+ (* k (+ 10.0 k)) 1.0))

rewrite347.0ms

Algorithm
rewrite-expression-head
Rules
308×add-sqr-sqrt
280×times-frac
146×sqrt-prod
123×add-cube-cbrt *-un-lft-identity
118×add-exp-log
112×unpow-prod-down
62×swap-sqr
56×sqr-pow
51×associate-*r*
50×unswap-sqr
49×associate-*l* prod-exp
48×div-exp
34×add-cbrt-cube
18×pow1
16×pow-to-exp pow-exp
13×cbrt-unprod
12×sqrt-div
8×cbrt-undiv associate-/r/
6×flip3-+ flip-+
5×associate-*l/
4×pow-prod-down div-inv add-log-exp
2×frac-times rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ *-commutative
1×pow2 pow-plus pow-sqr pow-prod-up
Counts
4 → 313
Calls
4 calls:
146.0ms
(* (/ (pow k (/ m 2)) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (/ (pow k (/ m 2)) (sqrt (+ (* k (+ 10.0 k)) 1.0))))
141.0ms
(* (* (/ (pow k (/ m 2)) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (/ (pow k (/ m 2)) (sqrt (+ (* k (+ 10.0 k)) 1.0)))) a)
18.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))
16.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))

series283.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(* (/ (pow k (/ m 2)) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (/ (pow k (/ m 2)) (sqrt (+ (* k (+ 10.0 k)) 1.0))))
116.0ms
(* (* (/ (pow k (/ m 2)) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (/ (pow k (/ m 2)) (sqrt (+ (* k (+ 10.0 k)) 1.0)))) a)
48.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))
43.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))

simplify87.0ms

Algorithm
egg-herbie
Counts
325 → 325
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
013337071
150016568

prune667.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 2.5b

regimes81.0ms

Accuracy

0% (0.0b remaining)

Error of 2.0b against oracle of 1.9b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0207
1207

end0.0ms

sample1.1s

Algorithm
intervals
Results
461.0ms11891×body80valid
137.0ms4118×body80nan