Details

Time bar (total: 8.2s)

sample37.0ms

Algorithm
intervals
Results
17.0ms382×body80valid
5.0ms144×body80nan

simplify106.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0247
1487
2966
32566
48916
539636
650026

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.6b

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

rewrite33.0ms

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

series229.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(* k (+ 10.0 k))
74.0ms
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
106.0ms
(* (/ (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

prune354.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 2.6b

localize15.0ms

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)

rewrite62.0ms

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:
1.0ms
(cbrt k)
1.0ms
(cbrt k)
1.0ms
(cbrt k)
36.0ms
(* (/ (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:
170.0ms
(cbrt k)
169.0ms
(cbrt k)
180.0ms
(cbrt k)
534.0ms
(* (/ (pow (* (cbrt k) (cbrt k)) m) (/ (+ (* k (+ 10.0 k)) 1.0) (pow (cbrt k) m))) a)

simplify122.0ms

Algorithm
egg-herbie
Counts
269 → 269
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
011613539
140163416
250013392

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize19.0ms

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
94×times-frac
70×add-exp-log
47×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
36×unpow-prod-down
35×div-exp
34×associate-/r*
27×cbrt-prod
20×prod-exp
16×add-cbrt-cube
13×pow-exp
9×pow-to-exp
6×cbrt-undiv sqr-pow
4×pow1 add-log-exp
3×pow1/3 div-inv
2×cbrt-unprod
1×frac-2neg clear-num associate-/r/ associate-/l*
Counts
4 → 137
Calls
4 calls:
1.0ms
(cbrt k)
1.0ms
(cbrt k)
1.0ms
(cbrt k)
16.0ms
(/ (* (pow (* (cbrt k) (cbrt k)) m) a) (/ (+ (* k (+ 10.0 k)) 1.0) (pow (cbrt k) m)))

series902.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt k)
180.0ms
(cbrt k)
180.0ms
(cbrt k)
360.0ms
(/ (* (pow (* (cbrt k) (cbrt k)) m) a) (/ (+ (* k (+ 10.0 k)) 1.0) (pow (cbrt k) m)))

simplify115.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
08011991
139181850
250021823

prune496.0ms

Pruning

4 alts after pruning (3 fresh and 1 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))

rewrite163.0ms

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:
27.0ms
(/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
65.0ms
(* (/ (/ (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))

series284.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
106.0ms
(* (/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
47.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))
60.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))

simplify153.0ms

Algorithm
egg-herbie
Counts
733 → 733
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
0175413231
1500211898

prune1.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

regimes83.0ms

Accuracy

97.9% (0.0b remaining)

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

bsearch61.0ms

Steps
ItersRangePoint
7
1.0902178287953228e+105
1.0131609551329546e+107
1.8838862069065277e+106

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05446
15446

end0.0ms

sample935.0ms

Algorithm
intervals
Results
468.0ms11941×body80valid
138.0ms4277×body80nan