Details

Time bar (total: 6.6s)

sample36.0ms

Algorithm
intervals
Results
16.0ms377×body80valid
5.0ms138×body80nan

simplify106.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0247
1487
2966
32566
48916
539636
650026

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize9.0ms

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))
2.7b
(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

rewrite56.0ms

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:
10.0ms
(* k (+ 10.0 k))
12.0ms
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
30.0ms
(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

series211.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(* k (+ 10.0 k))
66.0ms
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
101.0ms
(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

simplify68.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06081105
125231041
250011035

prune347.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 2.7b

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)))
2.7b
(* (/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
16.1b
(sqrt (+ (* k (+ 10.0 k)) 1.0))
16.1b
(sqrt (+ (* k (+ 10.0 k)) 1.0))

rewrite263.0ms

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:
41.0ms
(/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
138.0ms
(* (/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
8.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))
8.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))

series263.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
101.0ms
(* (/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
50.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))
46.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))

simplify137.0ms

Algorithm
egg-herbie
Counts
733 → 733
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
0175413233
1500211898

prune1.8s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 2.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (* (/ 1 (sqrt (+ (* k (+ 10.0 k)) 1.0))) a))
0.1b
(* (/ 1 (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
16.1b
(sqrt (+ (* k (+ 10.0 k)) 1.0))
16.1b
(sqrt (+ (* k (+ 10.0 k)) 1.0))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
83×add-exp-log
72×associate-*l*
64×times-frac
61×add-sqr-sqrt
49×*-un-lft-identity
47×add-cube-cbrt
40×prod-exp
38×sqrt-prod
30×add-cbrt-cube
25×div-exp
18×unpow-prod-down
13×pow1
12×cbrt-unprod
8×sqrt-div
6×cbrt-undiv sqr-pow
5×pow-to-exp rec-exp 1-exp pow-exp unswap-sqr
4×flip3-+ associate-*r* pow-prod-down associate-*l/ associate-/r/ flip-+ add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 *-commutative div-inv
1×frac-times associate-*r/
Counts
4 → 166
Calls
4 calls:
66.0ms
(* (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (* (/ 1 (sqrt (+ (* k (+ 10.0 k)) 1.0))) a))
33.0ms
(* (/ 1 (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
8.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))
8.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))

series360.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(* (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (* (/ 1 (sqrt (+ (* k (+ 10.0 k)) 1.0))) a))
156.0ms
(* (/ 1 (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
52.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))
47.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))

simplify89.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
08252080
135821859
250011839

prune531.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 2.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (/ 1 (sqrt (+ (* k (+ 10.0 k)) 1.0))))
2.7b
(* (* (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (/ 1 (sqrt (+ (* k (+ 10.0 k)) 1.0)))) a)
16.1b
(sqrt (+ (* k (+ 10.0 k)) 1.0))
16.1b
(sqrt (+ (* k (+ 10.0 k)) 1.0))

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
153×add-sqr-sqrt
118×times-frac
110×add-exp-log
65×sqrt-prod
61×*-un-lft-identity
49×associate-*l* prod-exp
47×add-cube-cbrt
40×div-exp
35×unswap-sqr
34×add-cbrt-cube
28×unpow-prod-down
27×associate-*r*
16×sqr-pow
13×pow1 cbrt-unprod
8×cbrt-undiv pow-to-exp rec-exp sqrt-div 1-exp pow-exp
6×associate-*l/
4×flip3-+ pow-prod-down associate-/r/ flip-+ add-log-exp
2×frac-times rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ un-div-inv *-commutative div-inv
Counts
4 → 210
Calls
4 calls:
76.0ms
(* (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (/ 1 (sqrt (+ (* k (+ 10.0 k)) 1.0))))
78.0ms
(* (* (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (/ 1 (sqrt (+ (* k (+ 10.0 k)) 1.0)))) a)
8.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))
8.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))

series270.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (/ 1 (sqrt (+ (* k (+ 10.0 k)) 1.0))))
109.0ms
(* (* (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (/ 1 (sqrt (+ (* k (+ 10.0 k)) 1.0)))) a)
46.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))
52.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))

simplify116.0ms

Algorithm
egg-herbie
Counts
222 → 222
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
09563508
142853131
250022877

prune516.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 2.7b

regimes79.0ms

Accuracy

0% (0.0b 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
0156
1156

end0.0ms

sample1.0s

Algorithm
intervals
Results
516.0ms11901×body80valid
153.0ms4227×body80nan