Details

Time bar (total: 3.7s)

sample38.0ms

Algorithm
intervals
Results
17.0ms388×body80valid
5.0ms130×body80nan

simplify102.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0247
1535
21065
32695
49045
539765
650015

prune12.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.2b

Counts
2 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
12×add-exp-log
7×add-cbrt-cube add-log-exp
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×div-exp
3×fma-def times-frac prod-exp associate-/r* sum-log
2×pow1 cbrt-undiv expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u
1×+-commutative pow-to-exp associate-+l+ frac-2neg pow-exp clear-num cbrt-unprod div-inv associate-/l*
Counts
2 → 45
Calls
2 calls:
5.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
8.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series135.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
117.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify44.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0363456
11675385
25001363

prune137.0ms

Filtered
51 candidates to 39 candidates (76.5%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New47451
Fresh011
Picked101
Done000
Total48553

Merged error: 0.0b

Counts
53 → 5

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
12×add-exp-log
8×*-un-lft-identity
7×add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt times-frac div-exp associate-/r*
3×prod-exp
2×pow1 cbrt-undiv expm1-log1p-u associate-/r/ log1p-expm1-u distribute-lft-out add-log-exp
1×pow-to-exp frac-2neg flip3-+ pow-exp clear-num cbrt-unprod flip-+ fma-udef div-inv associate-/l*
Counts
2 → 39
Calls
2 calls:
1.0ms
(fma 10.0 k (* k k))
7.0ms
(/ (* a (pow k m)) (+ 1.0 (fma 10.0 k (* k k))))

series183.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(fma 10.0 k (* k k))
123.0ms
(/ (* a (pow k m)) (+ 1.0 (fma 10.0 k (* k k))))

simplify43.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0311357
11372317
25001312

prune103.0ms

Filtered
45 candidates to 32 candidates (71.1%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New43245
Fresh134
Picked101
Done000
Total45550

Merged error: 0.0b

Counts
50 → 5

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 10.0 k (* k k))
0.3b
(/ (pow k m) (+ 1.0 (fma 10.0 k (* k k))))
1.9b
(* a (/ (pow k m) (+ 1.0 (fma 10.0 k (* k k)))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
68×*-un-lft-identity
59×times-frac
48×add-sqr-sqrt
38×add-cube-cbrt
34×associate-*r*
28×unpow-prod-down
18×add-exp-log
15×distribute-lft-out
10×add-cbrt-cube sqr-pow
7×associate-/l*
6×div-exp
5×pow1
4×prod-exp associate-/r* associate-/r/ unswap-sqr
3×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
2×cbrt-undiv pow-to-exp flip3-+ pow-exp cbrt-unprod flip-+ div-inv
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative fma-udef
Counts
3 → 126
Calls
3 calls:
1.0ms
(fma 10.0 k (* k k))
7.0ms
(/ (pow k m) (+ 1.0 (fma 10.0 k (* k k))))
14.0ms
(* a (/ (pow k m) (+ 1.0 (fma 10.0 k (* k k)))))

series259.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(fma 10.0 k (* k k))
75.0ms
(/ (pow k m) (+ 1.0 (fma 10.0 k (* k k))))
123.0ms
(* a (/ (pow k m) (+ 1.0 (fma 10.0 k (* k k)))))

simplify71.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05261175
123921113
250011104

prune304.0ms

Filtered
135 candidates to 94 candidates (69.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1341135
Fresh134
Picked011
Done000
Total1355140

Merged error: 0.0b

Counts
140 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma k k (fma k 10.0 1.0))
0.1b
(fma k 10.0 1.0)
0.3b
(/ (pow k m) (/ (fma k k (fma k 10.0 1.0)) a))
3.6b
(/ (fma k k (fma k 10.0 1.0)) a)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
172×times-frac
96×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
42×unpow-prod-down
19×add-exp-log
16×associate-/r*
14×sqr-pow
11×add-cbrt-cube
10×div-exp div-inv associate-/l*
4×pow1 cbrt-undiv expm1-log1p-u log1p-expm1-u add-log-exp
2×pow-to-exp frac-2neg pow-exp clear-num fma-udef
1×associate-/r/
Counts
4 → 181
Calls
4 calls:
1.0ms
(fma k k (fma k 10.0 1.0))
1.0ms
(fma k 10.0 1.0)
8.0ms
(/ (pow k m) (/ (fma k k (fma k 10.0 1.0)) a))
3.0ms
(/ (fma k k (fma k 10.0 1.0)) a)

series422.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(fma k k (fma k 10.0 1.0))
238.0ms
(fma k 10.0 1.0)
114.0ms
(/ (pow k m) (/ (fma k k (fma k 10.0 1.0)) a))
47.0ms
(/ (fma k k (fma k 10.0 1.0)) a)

simplify95.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
07151922
132801854
250021852

prune447.0ms

Filtered
193 candidates to 148 candidates (76.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1930193
Fresh033
Picked011
Done011
Total1935198

Merged error: 0.0b

Counts
198 → 5

regimes84.0ms

Accuracy

98.2% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.9b

bsearch15.0ms

Steps
ItersRangePoint
2
1.1390306262974716e+60
1.2573898009304202e+60
1.15382552312659e+60

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04533
15133
25133

end0.0ms

sample1.0s

Algorithm
intervals
Results
545.0ms11818×body80valid
147.0ms4081×body80nan