Details

Time bar (total: 5.2s)

sample37.0ms

Algorithm
intervals
Results
17.0ms372×body80valid
5.0ms139×body80nan

simplify104.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0247
1535
21065
32695
49045
539765
650015

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.9b

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

rewrite34.0ms

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))
14.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series187.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(* a (pow k m))
18.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
111.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify55.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0419575
12040495
25002476

prune226.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log
14×add-sqr-sqrt
11×add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×prod-exp
4×pow1 expm1-log1p-u unpow-prod-down div-exp log1p-expm1-u add-log-exp
3×times-frac associate-*l* associate-/r* unswap-sqr
2×cbrt-undiv pow-to-exp pow-exp cbrt-unprod fma-udef sqr-pow
1×frac-2neg clear-num *-commutative div-inv associate-/l*
Counts
4 → 72
Calls
4 calls:
0.0ms
(fma k k (fma k 10.0 1.0))
5.0ms
(* a (pow k m))
0.0ms
(fma k 10.0 1.0)
4.0ms
(/ (* a (pow k m)) (fma k k (fma k 10.0 1.0)))

series223.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(fma k k (fma k 10.0 1.0))
59.0ms
(* a (pow k m))
30.0ms
(fma k 10.0 1.0)
112.0ms
(/ (* a (pow k m)) (fma k k (fma k 10.0 1.0)))

simplify48.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0339452
11565398
25001396

prune242.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* a (pow k (/ m 2))) (pow k (/ m 2)))
0.0b
(* a (pow k (/ m 2)))
0.1b
(fma k 10.0 1.0)
1.9b
(/ (* (* a (pow k (/ m 2))) (pow k (/ m 2))) (fma k k (fma k 10.0 1.0)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
75×add-exp-log
45×prod-exp
20×add-cbrt-cube
16×add-sqr-sqrt
15×pow-to-exp pow-exp
14×associate-*r*
13×div-exp
11×add-cube-cbrt *-un-lft-identity
7×unpow-prod-down cbrt-unprod
4×pow1 expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
3×cbrt-undiv times-frac associate-/r* unswap-sqr sqr-pow
2×*-commutative
1×frac-2neg clear-num fma-udef div-inv associate-/l*
Counts
4 → 104
Calls
4 calls:
11.0ms
(* (* a (pow k (/ m 2))) (pow k (/ m 2)))
5.0ms
(* a (pow k (/ m 2)))
0.0ms
(fma k 10.0 1.0)
11.0ms
(/ (* (* a (pow k (/ m 2))) (pow k (/ m 2))) (fma k k (fma k 10.0 1.0)))

series310.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(* (* a (pow k (/ m 2))) (pow k (/ m 2)))
64.0ms
(* a (pow k (/ m 2)))
31.0ms
(fma k 10.0 1.0)
139.0ms
(/ (* (* a (pow k (/ m 2))) (pow k (/ m 2))) (fma k k (fma k 10.0 1.0)))

simplify72.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0465939
12431776
25002768

prune301.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ (/ (* a (pow k (* 2 (/ m 2)))) (cbrt (fma k k (fma k 10.0 1.0)))) (cbrt (fma k k (fma k 10.0 1.0)))) (cbrt (fma k k (fma k 10.0 1.0))))
15.2b
(cbrt (fma k k (fma k 10.0 1.0)))
15.2b
(cbrt (fma k k (fma k 10.0 1.0)))
15.2b
(cbrt (fma k k (fma k 10.0 1.0)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
1056×times-frac
540×cbrt-prod
410×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
64×associate-/l*
50×div-inv
27×add-exp-log
15×div-exp
9×cbrt-undiv add-cbrt-cube
6×associate-/r*
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 prod-exp
1×pow-to-exp frac-2neg pow-exp clear-num cbrt-unprod associate-/l/
Counts
4 → 516
Calls
4 calls:
27.0ms
(/ (/ (/ (* a (pow k (* 2 (/ m 2)))) (cbrt (fma k k (fma k 10.0 1.0)))) (cbrt (fma k k (fma k 10.0 1.0)))) (cbrt (fma k k (fma k 10.0 1.0))))
0.0ms
(cbrt (fma k k (fma k 10.0 1.0)))
1.0ms
(cbrt (fma k k (fma k 10.0 1.0)))
1.0ms
(cbrt (fma k k (fma k 10.0 1.0)))

series440.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(/ (/ (/ (* a (pow k (* 2 (/ m 2)))) (cbrt (fma k k (fma k 10.0 1.0)))) (cbrt (fma k k (fma k 10.0 1.0)))) (cbrt (fma k k (fma k 10.0 1.0))))
107.0ms
(cbrt (fma k k (fma k 10.0 1.0)))
110.0ms
(cbrt (fma k k (fma k 10.0 1.0)))
111.0ms
(cbrt (fma k k (fma k 10.0 1.0)))

simplify169.0ms

Algorithm
egg-herbie
Counts
528 → 528
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
0186514861
1500114546

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes84.0ms

Accuracy

97.7% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.0b

bsearch55.0ms

Steps
ItersRangePoint
7
4.014737557460899e+150
2.703506994090381e+152
1.6855195864047097e+151

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04736
15336
25336

end0.0ms

sample1.1s

Algorithm
intervals
Results
550.0ms11803×body80valid
156.0ms4310×body80nan