Details

Time bar (total: 1.9s)

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1225
2255
3265
4265

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
7.6b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
16×add-sqr-sqrt
13×times-frac
11×add-cube-cbrt
4×add-exp-log associate-/r* add-cbrt-cube distribute-lft-out add-log-exp
3×associate-/l*
2×pow1 associate-/r/ difference-of-squares
1×cbrt-undiv sub-neg flip3-- frac-2neg flip3-+ diff-log div-exp clear-num flip-- flip-+ div-inv distribute-lft-out--
Counts
2 → 48
Calls
2 calls:
9.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
6.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series99.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
63.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify154.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0268432
1956411
24742403
35001403

prune94.0ms

Filtered
54 candidates to 40 candidates (74.1%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New50454
Fresh000
Picked101
Done000
Total51455

Merged error: 0b

Counts
55 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))
0.6b
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
7.0b
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
28×add-sqr-sqrt
26×times-frac
21×add-cube-cbrt
18×associate-*r*
16×add-exp-log
10×add-cbrt-cube
7×distribute-lft-out
6×pow1
5×add-log-exp
4×div-exp prod-exp associate-/r* associate-/r/
3×associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ div-inv
1×sub-neg flip3-- pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative flip-- inv-pow
Counts
3 → 90
Calls
3 calls:
2.0ms
(- x (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))
6.0ms
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
13.0ms
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

series150.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(- x (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))
49.0ms
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
64.0ms
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

simplify53.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0406739
11857657
25001618

prune127.0ms

Filtered
99 candidates to 60 candidates (60.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New99099
Fresh033
Picked011
Done000
Total994103

Merged error: 0b

Counts
103 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
0.2b
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.5b
(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
98×*-un-lft-identity
75×add-sqr-sqrt
61×add-cube-cbrt
19×associate-/r*
16×add-exp-log distribute-lft-out
10×add-cbrt-cube
8×div-exp
7×div-inv associate-/l*
5×add-log-exp difference-of-squares
4×pow1 cbrt-undiv
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ distribute-lft-out--
1×sub-neg flip3-- pow-flip flip3-+ diff-log associate-/r/ flip-- flip-+ inv-pow
Counts
3 → 140
Calls
3 calls:
17.0ms
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
8.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

series149.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
61.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
54.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify58.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05191417
122961207
250021198

prune169.0ms

Filtered
149 candidates to 76 candidates (51.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1481149
Fresh112
Picked101
Done011
Total1503153

Merged error: 0b

Counts
153 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y)))))
0.0b
(+ (* 0.5 x) (* 1.0 (/ 1 y)))
0.2b
(/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×*-un-lft-identity
11×add-cube-cbrt times-frac
7×add-exp-log add-log-exp
5×add-cbrt-cube
4×pow1
3×associate-/r* associate-/l* difference-of-squares
2×flip3-+ div-exp associate-/r/ flip-+ div-inv distribute-lft-out--
1×cbrt-undiv +-commutative sub-neg rec-exp flip3-- pow-flip frac-2neg diff-log 1-exp clear-num sum-log flip-- inv-pow
Counts
3 → 61
Calls
3 calls:
8.0ms
(- x (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y)))))
4.0ms
(+ (* 0.5 x) (* 1.0 (/ 1 y)))
5.0ms
(/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))

series125.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(- x (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y)))))
36.0ms
(+ (* 0.5 x) (* 1.0 (/ 1 y)))
54.0ms
(/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))

simplify43.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0309609
11221551
25001547

prune92.0ms

Filtered
70 candidates to 44 candidates (62.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New70070
Fresh011
Picked011
Done011
Total70373

Merged error: 0b

Counts
73 → 3

regimes31.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0166
1166

end0.0ms

sample380.0ms

Algorithm
intervals
Results
255.0ms8000×body80valid