Details

Time bar (total: 4.8s)

sample39.0ms

Algorithm
intervals
Results
18.0ms390×body80valid
5.0ms144×body80nan

simplify110.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0247
1535
21065
32695
49045
539765
650015

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ 1.0 (* 10.0 k)) (* k k))
0.0b
(* a (pow k m))
2.2b
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
14×add-sqr-sqrt
10×add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
8×add-log-exp
7×associate-*r*
6×prod-exp
4×unpow-prod-down div-exp
3×pow1 expm1-log1p-u fma-def times-frac associate-*l* associate-/r* sum-log log1p-expm1-u 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 → 72
Calls
3 calls:
5.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
5.0ms
(* a (pow k m))
9.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series205.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
66.0ms
(* a (pow k m))
120.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify57.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0419575
12040495
25002476

prune265.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ 1.0 (* 10.0 k)) (* k k))
0.0b
(/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m))
2.2b
(/ a (/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
180×times-frac
102×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
48×unpow-prod-down
32×associate-/r*
18×add-exp-log
16×sqr-pow
10×div-exp add-cbrt-cube
8×add-log-exp
6×div-inv associate-/l*
4×cbrt-undiv
3×pow1 expm1-log1p-u fma-def sum-log log1p-expm1-u
2×pow-to-exp frac-2neg flip3-+ pow-exp clear-num flip-+ associate-/l/
1×+-commutative associate-+l+ associate-/r/
Counts
3 → 189
Calls
3 calls:
5.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
9.0ms
(/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m))
10.0ms
(/ a (/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m)))

series211.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
72.0ms
(/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m))
121.0ms
(/ a (/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m)))

simplify115.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
08482597
140832407
250022378

prune644.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(fma 10.0 k 1.0)
0.2b
(/ (pow k m) (fma k k (fma 10.0 k 1.0)))
2.2b
(* a (/ (pow k m) (fma k k (fma 10.0 k 1.0))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
44×add-sqr-sqrt
34×add-cube-cbrt *-un-lft-identity
25×associate-*r*
22×unpow-prod-down
18×add-exp-log
10×add-cbrt-cube
8×sqr-pow
7×associate-/l*
6×div-exp
5×pow1
4×prod-exp unswap-sqr
3×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u add-log-exp
2×cbrt-undiv pow-to-exp pow-exp cbrt-unprod div-inv
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative fma-udef
Counts
3 → 107
Calls
3 calls:
1.0ms
(fma 10.0 k 1.0)
11.0ms
(/ (pow k m) (fma k k (fma 10.0 k 1.0)))
10.0ms
(* a (/ (pow k m) (fma k k (fma 10.0 k 1.0))))

series231.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(fma 10.0 k 1.0)
77.0ms
(/ (pow k m) (fma k k (fma 10.0 k 1.0)))
122.0ms
(* a (/ (pow k m) (fma k k (fma 10.0 k 1.0))))

simplify62.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0484924
12186869
25002865

prune374.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

5.8b
(/ a (* (cbrt (+ (+ 1.0 (* 10.0 k)) (* k k))) (cbrt (+ (+ 1.0 (* 10.0 k)) (* k k)))))
17.8b
(cbrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
17.8b
(cbrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
17.8b
(cbrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ flip-+
8×associate-/r/
7×add-cbrt-cube
4×pow1 expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv associate-*r/ div-exp associate-*l/
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 76
Calls
4 calls:
13.0ms
(/ a (* (cbrt (+ (+ 1.0 (* 10.0 k)) (* k k))) (cbrt (+ (+ 1.0 (* 10.0 k)) (* k k)))))
4.0ms
(cbrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
4.0ms
(cbrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
4.0ms
(cbrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

series553.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(/ a (* (cbrt (+ (+ 1.0 (* 10.0 k)) (* k k))) (cbrt (+ (+ 1.0 (* 10.0 k)) (* k k)))))
112.0ms
(cbrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
112.0ms
(cbrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
120.0ms
(cbrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify141.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03871085
11299990
24786952
35001952

prune383.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes101.0ms

Accuracy

98.6% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 2.3b

bsearch38.0ms

Steps
ItersRangePoint
4
7.317339237634592e+150
1.4340110496867217e+151
8.317260679289482e+150

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04332
14932
24932

end0.0ms

sample1.1s

Algorithm
intervals
Results
553.0ms11972×body80valid
152.0ms4238×body80nan