Details

Time bar (total: 5.5s)

sample39.0ms

Algorithm
intervals
Results
19.0ms372×body80valid
5.0ms139×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: 1.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* a (pow k m))
0.0b
(+ (+ 1.0 (* 10.0 k)) (* k k))
1.9b
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
13×add-sqr-sqrt
10×add-cbrt-cube
8×add-cube-cbrt *-un-lft-identity add-log-exp
7×associate-*r*
6×prod-exp
4×unpow-prod-down div-exp
3×pow1 times-frac associate-*l* associate-/r* sum-log unswap-sqr
2×cbrt-undiv pow-to-exp flip3-+ pow-exp associate-/r/ cbrt-unprod flip-+ sqr-pow
1×+-commutative associate-+l+ frac-2neg clear-num *-commutative div-inv associate-/l*
Counts
3 → 63
Calls
3 calls:
6.0ms
(* a (pow k m))
10.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
14.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series195.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(* a (pow k m))
18.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
117.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify53.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0405548
11965482
25001475

prune179.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* a (pow k m))
0.0b
(* k (+ 10.0 k))
1.9b
(/ (* a (pow k m)) (+ 1.0 (* k (+ 10.0 k))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
17×add-sqr-sqrt
12×*-un-lft-identity add-cbrt-cube
11×associate-*r*
10×add-cube-cbrt
7×prod-exp
6×associate-*l*
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:
5.0ms
(* a (pow k m))
14.0ms
(* k (+ 10.0 k))
6.0ms
(/ (* a (pow k m)) (+ 1.0 (* k (+ 10.0 k))))

series215.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(* a (pow k m))
41.0ms
(* k (+ 10.0 k))
114.0ms
(/ (* a (pow k m)) (+ 1.0 (* k (+ 10.0 k))))

simplify58.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0446493
12226441
25001440

prune194.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* a (pow k (/ m 2))) (pow k (/ m 2)))
0.0b
(* a (pow k (/ m 2)))
0.0b
(* k (+ 10.0 k))
1.9b
(/ (* (* a (pow k (/ m 2))) (pow k (/ m 2))) (+ 1.0 (* k (+ 10.0 k))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
77×add-exp-log
46×prod-exp
22×add-cbrt-cube
20×add-sqr-sqrt
18×associate-*r*
15×pow-to-exp *-un-lft-identity pow-exp
13×add-cube-cbrt div-exp
8×cbrt-unprod
7×unpow-prod-down associate-*l*
6×pow1
4×add-log-exp unswap-sqr
3×cbrt-undiv times-frac associate-/r* *-commutative sqr-pow
2×flip3-+ associate-*r/ associate-/r/ flip-+
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num div-inv distribute-lft-out associate-/l*
Counts
4 → 113
Calls
4 calls:
11.0ms
(* (* a (pow k (/ m 2))) (pow k (/ m 2)))
6.0ms
(* a (pow k (/ m 2)))
13.0ms
(* k (+ 10.0 k))
13.0ms
(/ (* (* a (pow k (/ m 2))) (pow k (/ m 2))) (+ 1.0 (* k (+ 10.0 k))))

series320.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(* (* a (pow k (/ m 2))) (pow k (/ m 2)))
66.0ms
(* a (pow k (/ m 2)))
46.0ms
(* k (+ 10.0 k))
135.0ms
(/ (* (* a (pow k (/ m 2))) (pow k (/ m 2))) (+ 1.0 (* k (+ 10.0 k))))

simplify87.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
05781023
13128849
25003841

prune276.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ (/ (* a (pow k (* 2 (/ m 2)))) (cbrt (+ 1.0 (* k (+ 10.0 k))))) (cbrt (+ 1.0 (* k (+ 10.0 k))))) (cbrt (+ 1.0 (* k (+ 10.0 k)))))
15.2b
(cbrt (+ 1.0 (* k (+ 10.0 k))))
15.2b
(cbrt (+ 1.0 (* k (+ 10.0 k))))
15.2b
(cbrt (+ 1.0 (* k (+ 10.0 k))))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
1224×times-frac
624×cbrt-prod
466×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
106×cbrt-div
100×associate-/r/
78×associate-/l*
53×flip3-+ flip-+
50×div-inv
27×add-exp-log
15×div-exp
9×cbrt-undiv add-cbrt-cube
6×associate-/r*
4×pow1 add-log-exp
3×pow1/3 prod-exp
1×pow-to-exp frac-2neg pow-exp clear-num cbrt-unprod associate-/l/
Counts
4 → 614
Calls
4 calls:
45.0ms
(/ (/ (/ (* a (pow k (* 2 (/ m 2)))) (cbrt (+ 1.0 (* k (+ 10.0 k))))) (cbrt (+ 1.0 (* k (+ 10.0 k))))) (cbrt (+ 1.0 (* k (+ 10.0 k)))))
2.0ms
(cbrt (+ 1.0 (* k (+ 10.0 k))))
2.0ms
(cbrt (+ 1.0 (* k (+ 10.0 k))))
2.0ms
(cbrt (+ 1.0 (* k (+ 10.0 k))))

series440.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(/ (/ (/ (* a (pow k (* 2 (/ m 2)))) (cbrt (+ 1.0 (* k (+ 10.0 k))))) (cbrt (+ 1.0 (* k (+ 10.0 k))))) (cbrt (+ 1.0 (* k (+ 10.0 k)))))
112.0ms
(cbrt (+ 1.0 (* k (+ 10.0 k))))
105.0ms
(cbrt (+ 1.0 (* k (+ 10.0 k))))
108.0ms
(cbrt (+ 1.0 (* k (+ 10.0 k))))

simplify206.0ms

Algorithm
egg-herbie
Counts
626 → 626
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
0224821364
1500221026

prune1.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.9b

regimes58.0ms

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
01910
11910

end0.0ms

sample1.1s

Algorithm
intervals
Results
545.0ms11803×body80valid
157.0ms4310×body80nan