Details

Time bar (total: 1.4s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1225
2265
3295
4305
5305

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

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-exp-log add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg flip3-+ div-exp clear-num flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
6.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify143.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 3 (139.0ms)

IterNodesCost
0214293
1824273
24306265
35001264

prune71.0ms

Filtered
38 candidates to 28 candidates (73.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New36238
Fresh000
Picked011
Done000
Total36339

Merged error: 0b

Counts
39 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
92×*-un-lft-identity
60×add-sqr-sqrt add-cube-cbrt
19×associate-/r*
16×distribute-lft-out
15×add-exp-log
9×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×pow-flip flip3-+ associate-/r/ flip-+ inv-pow
Counts
2 → 125
Calls
2 calls:
9.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
10.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

series111.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
49.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify58.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04521205
121191085
25001966

prune151.0ms

Filtered
131 candidates to 68 candidates (51.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1301131
Fresh101
Picked011
Done101
Total1322134

Merged error: 0b

Counts
134 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1 (fma (/ x 2.0) y 1.0))
7.8b
(* (/ 1 (fma (/ x 2.0) y 1.0)) y)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×times-frac
19×*-un-lft-identity
18×add-cube-cbrt
15×add-exp-log
13×associate-*l*
9×add-cbrt-cube
5×pow1
4×div-exp prod-exp
3×associate-*r* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u rec-exp 1-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp
1×pow-flip frac-2neg pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
2 → 70
Calls
2 calls:
3.0ms
(/ 1 (fma (/ x 2.0) y 1.0))
6.0ms
(* (/ 1 (fma (/ x 2.0) y 1.0)) y)

series106.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ 1 (fma (/ x 2.0) y 1.0))
59.0ms
(* (/ 1 (fma (/ x 2.0) y 1.0)) y)

simplify42.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0308481
11369423
25001394

prune114.0ms

Filtered
76 candidates to 50 candidates (65.8%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New76076
Fresh000
Picked011
Done011
Total76278

Merged error: 0b

Counts
78 → 2

regimes24.0ms

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
0135
1135

end0.0ms

sample405.0ms

Algorithm
intervals
Results
268.0ms7999×body80valid
0.0ms1×body2560valid

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