Details

Time bar (total: 6.3s)

sample42.0ms

Algorithm
intervals
Results
22.0ms411×body80valid
4.0ms119×body80nan

simplify103.0ms

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: 2.1b

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))
1.9b
(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

rewrite34.0ms

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:
6.0ms
(* k (+ 10.0 k))
9.0ms
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
14.0ms
(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

series218.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(* k (+ 10.0 k))
68.0ms
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
104.0ms
(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

simplify69.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06081105
125231041
250011035

prune344.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 2.1b

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)))
1.9b
(* (/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
15.2b
(sqrt (+ (* k (+ 10.0 k)) 1.0))
15.2b
(sqrt (+ (* k (+ 10.0 k)) 1.0))

rewrite160.0ms

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:
26.0ms
(/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
61.0ms
(* (/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
6.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))
6.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))

series273.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
103.0ms
(* (/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
46.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))
55.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))

simplify142.0ms

Algorithm
egg-herbie
Counts
733 → 733
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
0175413233
1500211898

prune1.7s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 2.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt k)
0.6b
(cbrt k)
0.6b
(* (cbrt k) (cbrt k))
1.9b
(* a (/ (pow (cbrt k) m) (+ (* k (+ 10.0 k)) 1.0)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
42×associate-*r*
35×add-cube-cbrt *-un-lft-identity
34×times-frac
32×cbrt-prod
20×unpow-prod-down
16×add-exp-log
13×pow1
9×associate-*l* add-cbrt-cube unswap-sqr
8×pow1/3
6×swap-sqr
5×prod-exp
4×add-log-exp sqr-pow
3×div-exp pow-prod-down cbrt-unprod
2×associate-/r/ pow-sqr *-commutative pow-prod-up
1×cbrt-undiv pow2 pow-to-exp flip3-+ pow-plus associate-*r/ pow-exp flip-+ div-inv
Counts
4 → 122
Calls
4 calls:
1.0ms
(cbrt k)
1.0ms
(cbrt k)
6.0ms
(* (cbrt k) (cbrt k))
17.0ms
(* a (/ (pow (cbrt k) m) (+ (* k (+ 10.0 k)) 1.0)))

series746.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt k)
178.0ms
(cbrt k)
201.0ms
(* (cbrt k) (cbrt k))
181.0ms
(* a (/ (pow (cbrt k) m) (+ (* k (+ 10.0 k)) 1.0)))

simplify78.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
0598925
12991846
25002818

prune502.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 2.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* k (+ 10.0 k))
0.0b
(* (pow k m) a)
2.2b
(/ (* (pow k m) a) (+ (* k (+ 10.0 k)) 1.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
17×add-sqr-sqrt
12×*-un-lft-identity add-cbrt-cube
10×add-cube-cbrt associate-*l*
7×associate-*r* prod-exp
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:
6.0ms
(* k (+ 10.0 k))
5.0ms
(* (pow k m) a)
10.0ms
(/ (* (pow k m) a) (+ (* k (+ 10.0 k)) 1.0))

series249.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(* k (+ 10.0 k))
96.0ms
(* (pow k m) a)
105.0ms
(/ (* (pow k m) a) (+ (* k (+ 10.0 k)) 1.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0439492
12038440
25002436

prune183.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 2.1b

regimes60.0ms

Accuracy

-71.2% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01712
11712

end0.0ms

sample1.2s

Algorithm
intervals
Results
534.0ms11874×body80valid
347.0ms4213×body80nan