Details

Time bar (total: 6.7s)

sample62.0ms

Algorithm
intervals
Results
36.0ms369×body80valid
10.0ms141×body80nan

simplify102.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0247
1535
21065
32695
49045
539765
650015

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.9b

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

rewrite31.0ms

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
(* a (pow k m))
10.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
13.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series192.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(* a (pow k m))
23.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
113.0ms
(/ (* 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

prune235.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* a (pow k m))
0.0b
(fma k 10.0 1.0)
0.6b
(/ 1 (fma k k (fma k 10.0 1.0)))
0.7b
(* (* a (pow k m)) (/ 1 (fma k k (fma k 10.0 1.0))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
57×add-exp-log
31×prod-exp
27×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
20×associate-*r* add-cbrt-cube
18×times-frac
10×div-exp
7×pow1 cbrt-unprod
5×pow-to-exp rec-exp 1-exp pow-exp
4×expm1-log1p-u unpow-prod-down associate-*l* log1p-expm1-u add-log-exp
3×cbrt-undiv associate-/r* associate-/l* unswap-sqr
2×*-commutative div-inv sqr-pow
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv fma-udef inv-pow
Counts
4 → 117
Calls
4 calls:
5.0ms
(* a (pow k m))
0.0ms
(fma k 10.0 1.0)
2.0ms
(/ 1 (fma k k (fma k 10.0 1.0)))
12.0ms
(* (* a (pow k m)) (/ 1 (fma k k (fma k 10.0 1.0))))

series249.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* a (pow k m))
30.0ms
(fma k 10.0 1.0)
38.0ms
(/ 1 (fma k k (fma k 10.0 1.0)))
119.0ms
(* (* a (pow k m)) (/ 1 (fma k k (fma k 10.0 1.0))))

simplify65.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0514805
12661698
25002671

prune300.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ (fma k k (fma k 10.0 1.0)) a) (pow k m))
0.0b
(fma k 10.0 1.0)
0.2b
(/ 1 (/ (/ (fma k k (fma k 10.0 1.0)) a) (pow k m)))
3.8b
(/ (fma k k (fma k 10.0 1.0)) a)

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
1073×times-frac
496×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
198×unpow-prod-down
105×associate-/r*
68×add-exp-log
66×sqr-pow
51×div-exp
43×div-inv
20×add-cbrt-cube
19×associate-/l*
10×cbrt-undiv
8×pow-to-exp pow-exp
7×rec-exp 1-exp
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
1×pow-flip associate-/r/ fma-udef associate-/l/ inv-pow
Counts
4 → 593
Calls
4 calls:
8.0ms
(/ (/ (fma k k (fma k 10.0 1.0)) a) (pow k m))
0.0ms
(fma k 10.0 1.0)
27.0ms
(/ 1 (/ (/ (fma k k (fma k 10.0 1.0)) a) (pow k m)))
2.0ms
(/ (fma k k (fma k 10.0 1.0)) a)

series309.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(/ (/ (fma k k (fma k 10.0 1.0)) a) (pow k m))
36.0ms
(fma k 10.0 1.0)
111.0ms
(/ 1 (/ (/ (fma k k (fma k 10.0 1.0)) a) (pow k m)))
55.0ms
(/ (fma k k (fma k 10.0 1.0)) a)

simplify126.0ms

Algorithm
egg-herbie
Counts
605 → 605
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
020648184
150017772

prune1.6s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ 1 (sqrt (fma k k (fma k 10.0 1.0)))) (sqrt (fma k k (fma k 10.0 1.0))))
0.7b
(* (* a (pow k m)) (/ (/ 1 (sqrt (fma k k (fma k 10.0 1.0)))) (sqrt (fma k k (fma k 10.0 1.0)))))
16.4b
(sqrt (fma k k (fma k 10.0 1.0)))
16.4b
(sqrt (fma k k (fma k 10.0 1.0)))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
498×times-frac
268×add-sqr-sqrt
266×add-cube-cbrt *-un-lft-identity
258×sqrt-prod
136×associate-*r*
83×add-exp-log
35×prod-exp
30×div-exp add-cbrt-cube
22×associate-/l*
15×pow1 div-inv
9×cbrt-undiv cbrt-unprod
6×sqrt-pow1 pow1/2 associate-/r* pow-div
5×pow-to-exp rec-exp pow-flip 1-exp pow-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×rem-sqrt-square
1×frac-2neg associate-*r/ associate-*l* pow-prod-down clear-num *-commutative associate-/l/ inv-pow
Counts
4 → 390
Calls
4 calls:
11.0ms
(/ (/ 1 (sqrt (fma k k (fma k 10.0 1.0)))) (sqrt (fma k k (fma k 10.0 1.0))))
45.0ms
(* (* a (pow k m)) (/ (/ 1 (sqrt (fma k k (fma k 10.0 1.0)))) (sqrt (fma k k (fma k 10.0 1.0)))))
1.0ms
(sqrt (fma k k (fma k 10.0 1.0)))
1.0ms
(sqrt (fma k k (fma k 10.0 1.0)))

series281.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(/ (/ 1 (sqrt (fma k k (fma k 10.0 1.0)))) (sqrt (fma k k (fma k 10.0 1.0))))
119.0ms
(* (* a (pow k m)) (/ (/ 1 (sqrt (fma k k (fma k 10.0 1.0)))) (sqrt (fma k k (fma k 10.0 1.0)))))
54.0ms
(sqrt (fma k k (fma k 10.0 1.0)))
62.0ms
(sqrt (fma k k (fma k 10.0 1.0)))

simplify91.0ms

Algorithm
egg-herbie
Counts
402 → 402
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
013935543
150014670

prune824.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes114.0ms

Accuracy

0% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0167
1167

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.2s11984×body80valid
311.0ms4172×body80nan