Details

Time bar (total: 4.2s)

sample37.0ms

Algorithm
intervals
Results
16.0ms369×body80valid
5.0ms142×body80nan

simplify109.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0247
1487
2966
32566
48916
539636
650026

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.5b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (* 10.0 k))
0.0b
(* a (pow k m))
2.5b
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
13×add-sqr-sqrt
10×add-cbrt-cube
8×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×prod-exp
5×add-log-exp
4×unpow-prod-down div-exp
3×pow1 times-frac associate-*l* associate-/r* unswap-sqr
2×cbrt-undiv pow-to-exp flip3-+ pow-exp associate-/r/ cbrt-unprod flip-+ sqr-pow
1×+-commutative frac-2neg clear-num sum-log *-commutative div-inv associate-/l*
Counts
3 → 61
Calls
3 calls:
2.0ms
(+ 1.0 (* 10.0 k))
5.0ms
(* a (pow k m))
8.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series209.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(+ 1.0 (* 10.0 k))
62.0ms
(* a (pow k m))
116.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify58.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0422500
12032446
25003443

prune184.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 2.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* a (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
0.0b
(/ (/ (* a (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
15.5b
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
15.5b
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
120×times-frac
72×sqrt-prod
59×add-sqr-sqrt
57×add-cube-cbrt *-un-lft-identity
30×add-exp-log
22×sqrt-div
18×associate-/r/ add-cbrt-cube
13×div-exp associate-/l*
12×associate-/r*
11×flip3-+ flip-+
9×div-inv
7×cbrt-undiv
6×pow1 prod-exp
4×add-log-exp
2×pow-to-exp rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 pow-exp clear-num cbrt-unprod
1×associate-/l/
Counts
4 → 172
Calls
4 calls:
9.0ms
(/ (* a (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
16.0ms
(/ (/ (* a (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
4.0ms
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
4.0ms
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

series388.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(/ (* a (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
118.0ms
(/ (/ (* a (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
53.0ms
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
52.0ms
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify92.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07563435
132823085
250013085

prune479.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 2.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* a (pow k m))
0.0b
(+ 1.0 (* 10.0 k))
0.2b
(/ 1 (/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (* a (pow k m))))
2.4b
(/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (* a (pow k m)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
57×add-exp-log
36×times-frac
30×add-sqr-sqrt
26×div-exp
25×add-cube-cbrt *-un-lft-identity
20×add-cbrt-cube
15×prod-exp
8×associate-/r*
7×cbrt-undiv associate-*r*
6×div-inv associate-/l* add-log-exp
5×pow1 pow-to-exp rec-exp 1-exp pow-exp
4×unpow-prod-down
3×associate-*l* cbrt-unprod unswap-sqr
2×frac-2neg flip3-+ clear-num flip-+ associate-/l/ sqr-pow
1×+-commutative pow-flip sum-log associate-/r/ *-commutative inv-pow
Counts
4 → 123
Calls
4 calls:
5.0ms
(* a (pow k m))
3.0ms
(+ 1.0 (* 10.0 k))
9.0ms
(/ 1 (/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (* a (pow k m))))
10.0ms
(/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (* a (pow k m)))

series308.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* a (pow k m))
31.0ms
(+ 1.0 (* 10.0 k))
110.0ms
(/ 1 (/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (* a (pow k m))))
104.0ms
(/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (* a (pow k m)))

simplify82.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
06541327
134091177
250011137

prune268.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 2.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (+ (- (* 10.0 (/ k a)) (* 1.0 (/ (* m (log k)) a))) (/ 1.0 a)))
0.3b
(* m (log k))
0.3b
(* 10.0 (/ k a))
0.4b
(/ (* m (log k)) a)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
34×add-sqr-sqrt
27×add-cube-cbrt
25×times-frac
20×add-exp-log
18×add-cbrt-cube
17×associate-*r*
10×pow1
7×associate-/r*
6×log-prod associate-*l* associate-/r/
5×associate-*r/ div-exp
4×cbrt-undiv frac-add prod-exp cbrt-unprod distribute-lft-out associate-/l* add-log-exp
3×distribute-rgt-in distribute-lft-in div-inv unswap-sqr
2×frac-2neg pow-prod-down clear-num *-commutative
1×rec-exp flip3-- pow-flip flip3-+ 1-exp log-pow frac-sub flip-- flip-+ inv-pow sub-div
Counts
4 → 119
Calls
4 calls:
12.0ms
(/ 1 (+ (- (* 10.0 (/ k a)) (* 1.0 (/ (* m (log k)) a))) (/ 1.0 a)))
8.0ms
(* m (log k))
6.0ms
(* 10.0 (/ k a))
5.0ms
(/ (* m (log k)) a)

series291.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(/ 1 (+ (- (* 10.0 (/ k a)) (* 1.0 (/ (* m (log k)) a))) (/ 1.0 a)))
36.0ms
(* m (log k))
25.0ms
(* 10.0 (/ k a))
58.0ms
(/ (* m (log k)) a)

simplify67.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05631004
12480902
25001879

prune268.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 2.5b

regimes114.0ms

Accuracy

0% (0.0b remaining)

Error of 2.1b against oracle of 2.1b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0167
1167

end0.0ms

sample1.0s

Algorithm
intervals
Results
520.0ms11799×body80valid
160.0ms4268×body80nan