Details

Time bar (total: 4.3s)

sample36.0ms

Algorithm
intervals
Results
15.0ms400×body80valid
5.0ms152×body80nan

simplify104.0ms

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: 1.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* k (+ 10.0 k)) 1.0)
0.0b
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
1.4b
(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
44×add-sqr-sqrt
34×add-cube-cbrt *-un-lft-identity
27×associate-*l*
22×unpow-prod-down
18×add-exp-log
10×add-cbrt-cube
8×sqr-pow
7×associate-/l*
6×div-exp
5×pow1 add-log-exp
4×prod-exp associate-/r/ unswap-sqr
3×flip3-+ associate-*r* associate-/r* flip-+
2×cbrt-undiv pow-to-exp associate-+l+ pow-exp cbrt-unprod div-inv
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num sum-log *-commutative
Counts
3 → 110
Calls
3 calls:
5.0ms
(+ (* k (+ 10.0 k)) 1.0)
11.0ms
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
30.0ms
(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

series187.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(+ (* k (+ 10.0 k)) 1.0)
66.0ms
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
102.0ms
(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

simplify59.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05361107
120811040
250011033

prune312.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* k (+ 10.0 k)) 1.0)
0.0b
(* (pow k m) a)
1.4b
(/ (* (pow k m) a) (+ (* k (+ 10.0 k)) 1.0))

rewrite22.0ms

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-*l*
6×prod-exp
5×add-log-exp
4×unpow-prod-down div-exp
3×pow1 times-frac associate-*r* associate-/r* unswap-sqr
2×cbrt-undiv pow-to-exp associate-+l+ flip3-+ pow-exp associate-/r/ cbrt-unprod flip-+ sqr-pow
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in clear-num sum-log *-commutative div-inv associate-/l*
Counts
3 → 63
Calls
3 calls:
5.0ms
(+ (* k (+ 10.0 k)) 1.0)
5.0ms
(* (pow k m) a)
11.0ms
(/ (* (pow k m) a) (+ (* k (+ 10.0 k)) 1.0))

series211.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(+ (* k (+ 10.0 k)) 1.0)
92.0ms
(* (pow k m) a)
100.0ms
(/ (* (pow k m) a) (+ (* k (+ 10.0 k)) 1.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0381494
11669439
25001435

prune166.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (pow k m) a)
0.0b
(/ (/ (* (pow k m) a) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
14.0b
(sqrt (+ (* k (+ 10.0 k)) 1.0))
14.0b
(sqrt (+ (* k (+ 10.0 k)) 1.0))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
66×sqrt-prod
63×add-sqr-sqrt
56×add-cube-cbrt *-un-lft-identity
25×add-exp-log
20×sqrt-div
16×associate-/r/
15×add-cbrt-cube
12×associate-/l*
10×flip3-+ flip-+
9×div-exp
8×div-inv
7×associate-*l*
6×pow1 prod-exp associate-/r*
5×cbrt-undiv
4×unpow-prod-down add-log-exp
3×associate-*r* unswap-sqr
2×pow-to-exp rem-sqrt-square sqrt-pow1 pow1/2 pow-exp cbrt-unprod sqr-pow
1×frac-2neg clear-num *-commutative associate-/l/
Counts
4 → 166
Calls
4 calls:
5.0ms
(* (pow k m) a)
29.0ms
(/ (/ (* (pow k m) a) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
7.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))
7.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))

series293.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(* (pow k m) a)
101.0ms
(/ (/ (* (pow k m) a) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
47.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))
51.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))

simplify94.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
07282716
132842437
250022437

prune433.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a) 3)
0.0b
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
1.4b
(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)
13.2b
(cbrt (pow (* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a) 3))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
45×times-frac
37×add-cube-cbrt *-un-lft-identity
30×add-exp-log
27×associate-*l*
24×unpow-prod-down
17×add-cbrt-cube
10×sqr-pow
9×pow1 div-exp
8×cbrt-prod pow-exp prod-exp
7×associate-/l*
4×pow-to-exp associate-/r/ cbrt-unprod add-log-exp unswap-sqr
3×cbrt-undiv pow-unpow associate-*r* associate-*l/ associate-/r* rem-cube-cbrt
2×cube-div cube-mult pow-pow flip3-+ unpow3 cube-prod pow-prod-down flip-+ div-inv
1×cbrt-div frac-2neg pow1/3 clear-num *-commutative rem-cbrt-cube
Counts
4 → 142
Calls
4 calls:
9.0ms
(pow (* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a) 3)
10.0ms
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
30.0ms
(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)
1.0ms
(cbrt (pow (* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a) 3))

series441.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(pow (* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a) 3)
68.0ms
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
102.0ms
(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)
122.0ms
(cbrt (pow (* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a) 3))

simplify88.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
07331509
132851473
250011471

prune473.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 1.4b

regimes53.0ms

Accuracy

0% (0.0b remaining)

Error of 2.2b against oracle of 2.1b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1156

end0.0ms

sample1.0s

Algorithm
intervals
Results
497.0ms11931×body80valid
146.0ms4177×body80nan