Details

Time bar (total: 4.4s)

sample55.0ms

Algorithm
intervals
Results
31.0ms381×body80valid
8.0ms134×body80nan

simplify106.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0247
1487
2966
32566
48916
539636
650026

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.9b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* k (+ 10.0 k)) 1.0)
0.0b
(* k (+ 10.0 k))
0.4b
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
1.5b
(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
45×times-frac
39×*-un-lft-identity
37×add-cube-cbrt
30×associate-*l*
22×unpow-prod-down
21×add-exp-log
13×add-cbrt-cube
8×pow1 sqr-pow
7×associate-*r* associate-/l*
6×div-exp add-log-exp
5×prod-exp unswap-sqr
4×flip3-+ associate-/r/ flip-+
3×associate-/r* cbrt-unprod
2×cbrt-undiv distribute-rgt-in pow-to-exp associate-+l+ distribute-lft-in associate-*r/ pow-prod-down pow-exp *-commutative div-inv
1×+-commutative frac-2neg associate-*l/ clear-num sum-log distribute-lft-out
Counts
4 → 133
Calls
4 calls:
5.0ms
(+ (* k (+ 10.0 k)) 1.0)
11.0ms
(* k (+ 10.0 k))
11.0ms
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
28.0ms
(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

series226.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(+ (* k (+ 10.0 k)) 1.0)
43.0ms
(* k (+ 10.0 k))
63.0ms
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
101.0ms
(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

simplify70.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06181187
125871116
250011109

prune384.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.9b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* k 10.0) (+ (pow k 2) 1.0))
0.4b
(/ (pow k m) (+ (* k 10.0) (+ (pow k 2) 1.0)))
1.5b
(* (/ (pow k m) (+ (* k 10.0) (+ (pow k 2) 1.0))) a)

rewrite129.0ms

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×add-log-exp sqr-pow
7×associate-/l*
6×div-exp
5×pow1
4×prod-exp associate-/r/ unswap-sqr
3×flip3-+ associate-*r* associate-/r* sum-log flip-+
2×cbrt-undiv pow-to-exp pow-exp cbrt-unprod div-inv
1×+-commutative associate-+r+ frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 110
Calls
3 calls:
17.0ms
(+ (* k 10.0) (+ (pow k 2) 1.0))
34.0ms
(/ (pow k m) (+ (* k 10.0) (+ (pow k 2) 1.0)))
73.0ms
(* (/ (pow k m) (+ (* k 10.0) (+ (pow k 2) 1.0))) a)

series183.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(+ (* k 10.0) (+ (pow k 2) 1.0))
65.0ms
(/ (pow k m) (+ (* k 10.0) (+ (pow k 2) 1.0)))
99.0ms
(* (/ (pow k m) (+ (* k 10.0) (+ (pow k 2) 1.0))) a)

simplify61.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05551263
121711162
250011147

prune360.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.9b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log
10×add-cbrt-cube
9×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
5×pow1 add-log-exp
4×div-exp associate-*r* prod-exp
3×flip3-+ times-frac associate-*l* associate-/r* flip-+
2×cbrt-undiv distribute-rgt-in associate-+r+ distribute-lft-in associate-*r/ associate-/r/ cbrt-unprod
1×+-commutative pow-to-exp frac-2neg pow-prod-down pow-exp clear-num sum-log *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 61
Calls
3 calls:
9.0ms
(* k (+ k 10.0))
2.0ms
(+ 1.0 (* k (+ k 10.0)))
8.0ms
(/ (* a (pow k m)) (+ 1.0 (* k (+ k 10.0))))

series174.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(* k (+ k 10.0))
18.0ms
(+ 1.0 (* k (+ k 10.0)))
112.0ms
(/ (* a (pow k m)) (+ 1.0 (* k (+ k 10.0))))

simplify53.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0420458
12000408
25002405

prune171.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* k (+ k 10.0))
0.0b
(+ 1.0 (* k (+ k 10.0)))
0.1b
(/ 1 (/ (+ 1.0 (* k (+ k 10.0))) (* a (pow k m))))
1.9b
(/ (+ 1.0 (* k (+ k 10.0))) (* a (pow k m)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
54×add-exp-log
36×times-frac
26×add-sqr-sqrt *-un-lft-identity div-exp
24×add-cube-cbrt
20×add-cbrt-cube
13×prod-exp
8×associate-/r*
7×pow1 cbrt-undiv
6×div-inv associate-/l* add-log-exp
5×rec-exp 1-exp
4×pow-to-exp associate-*r* pow-exp
3×flip3-+ associate-*l* cbrt-unprod flip-+
2×distribute-rgt-in associate-+r+ frac-2neg distribute-lft-in associate-*r/ clear-num associate-/l/
1×+-commutative pow-flip pow-prod-down sum-log associate-/r/ *-commutative distribute-lft-out inv-pow unswap-sqr
Counts
4 → 123
Calls
4 calls:
9.0ms
(* k (+ k 10.0))
3.0ms
(+ 1.0 (* k (+ k 10.0)))
12.0ms
(/ 1 (/ (+ 1.0 (* k (+ k 10.0))) (* a (pow k m))))
10.0ms
(/ (+ 1.0 (* k (+ k 10.0))) (* a (pow k m)))

series270.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* k (+ k 10.0))
18.0ms
(+ 1.0 (* k (+ k 10.0)))
103.0ms
(/ 1 (/ (+ 1.0 (* k (+ k 10.0))) (* a (pow k m))))
103.0ms
(/ (+ 1.0 (* k (+ k 10.0))) (* a (pow k m)))

simplify80.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
06501192
132541060
250011020

prune277.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.9b

regimes67.0ms

Accuracy

0% (0.1b remaining)

Error of 1.8b against oracle of 1.8b and baseline of 1.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177
1177

end0.0ms

sample1.5s

Algorithm
intervals
Results
923.0ms11950×body80valid
247.0ms4351×body80nan