Details

Time bar (total: 1.5s)

sample17.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1225
2255
3265
4265

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ 1.0 (/ (* x y) 2.0))
8.3b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
5×distribute-lft-out
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp
3×associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 45
Calls
2 calls:
8.0ms
(+ 1.0 (/ (* x y) 2.0))
15.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series30.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(+ 1.0 (/ (* x y) 2.0))
21.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify193.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0233362
1849336
24379331
35001331

prune66.0ms

Filtered
37 candidates to 51 candidates (-37.8%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New48351
Fresh000
Picked101
Done000
Total49352

Merged error: 0b

Counts
52 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (/ (* x y) 2.0))
0.4b
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
7.8b
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
38×*-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
8×distribute-lft-out
6×pow1
5×add-log-exp
4×div-exp prod-exp associate-/r* associate-/r/
3×flip3-+ associate-*l* flip-+ associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×+-commutative pow-flip frac-2neg associate-*r/ pow-prod-down clear-num sum-log un-div-inv *-commutative inv-pow
Counts
3 → 90
Calls
3 calls:
4.0ms
(+ 1.0 (/ (* x y) 2.0))
8.0ms
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
10.0ms
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

series26.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ 1.0 (/ (* x y) 2.0))
9.0ms
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
12.0ms
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

simplify47.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0376685
11712604
25002558

prune91.0ms

Filtered
57 candidates to 99 candidates (-73.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New99099
Fresh022
Picked011
Done000
Total993102

Merged error: 0b

Counts
102 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (/ (* x y) 2.0))
0.1b
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
8.3b
(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
95×*-un-lft-identity
61×add-sqr-sqrt add-cube-cbrt
19×associate-/r*
17×distribute-lft-out
16×add-exp-log
10×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp frac-2neg flip3-+ 1-exp clear-num flip-+ associate-/l/
1×+-commutative pow-flip sum-log associate-/r/ inv-pow
Counts
3 → 133
Calls
3 calls:
4.0ms
(+ 1.0 (/ (* x y) 2.0))
8.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

series26.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(+ 1.0 (/ (* x y) 2.0))
10.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify57.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04721263
121691138
250021045

prune109.0ms

Filtered
72 candidates to 142 candidates (-97.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1411142
Fresh101
Picked101
Done011
Total1432145

Merged error: 0b

Counts
145 → 2

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
5×add-exp-log
3×associate-/r* add-cbrt-cube associate-/l*
2×pow1 div-exp associate-/r/
1×cbrt-undiv rec-exp pow-flip frac-2neg flip3-+ 1-exp clear-num flip-+ div-inv inv-pow add-log-exp
Counts
1 → 33
Calls
1 calls:
5.0ms
(/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))

simplify157.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0218317
1944287
24998269
35002269

prune35.0ms

Filtered
19 candidates to 36 candidates (-89.5%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New36036
Fresh000
Picked011
Done011
Total36238

Merged error: 0b

Counts
38 → 2

regimes61.0ms

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

sample460.0ms

Algorithm
intervals
Results
264.0ms7999×body80valid
0.0ms1×body2560valid

Profiling

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