Details

Time bar (total: 3.0s)

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 3 expressions with local error:

0.0b
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
0.0b
(/ (* x y) 2.0)
8.1b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
85×*-un-lft-identity
62×add-sqr-sqrt
57×add-cube-cbrt
54×prod-diff
52×times-frac
13×distribute-lft-out
10×add-exp-log add-cbrt-cube
8×associate-/r/
7×associate-/r*
5×div-inv add-log-exp
4×flip3-+ flip-+ associate-/l*
3×pow1 cbrt-undiv expm1-log1p-u fma-neg div-exp log1p-expm1-u
2×frac-2neg clear-num difference-of-squares
1×sub-neg flip3-- diff-log prod-exp flip-- cbrt-unprod distribute-lft-out--
Counts
3 → 132
Calls
3 calls:
11.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
4.0ms
(/ (* x y) 2.0)
6.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series120.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
19.0ms
(/ (* x y) 2.0)
65.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify78.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06662632
126251869
250021712

prune179.0ms

Filtered
141 candidates to 76 candidates (53.9%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1365141
Fresh000
Picked101
Done000
Total1375142

Merged error: 0b

Counts
142 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (+ 1.0 (/ x (/ 2.0 y)))))
0.2b
(/ x (/ 2.0 y))
8.1b
(/ y (+ 1.0 (/ x (/ 2.0 y))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
125×*-un-lft-identity
124×times-frac
102×add-sqr-sqrt
97×add-cube-cbrt
54×prod-diff
17×associate-/r*
13×distribute-lft-out
10×add-exp-log add-cbrt-cube
9×associate-/r/ div-inv
6×associate-/l*
5×add-log-exp
4×cbrt-undiv flip3-+ div-exp flip-+
3×pow1 expm1-log1p-u fma-neg log1p-expm1-u
2×frac-2neg clear-num difference-of-squares
1×sub-neg flip3-- diff-log flip-- distribute-lft-out--
Counts
3 → 181
Calls
3 calls:
19.0ms
(- x (/ y (+ 1.0 (/ x (/ 2.0 y)))))
6.0ms
(/ x (/ 2.0 y))
18.0ms
(/ y (+ 1.0 (/ x (/ 2.0 y))))

series120.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(- x (/ y (+ 1.0 (/ x (/ 2.0 y)))))
19.0ms
(/ x (/ 2.0 y))
66.0ms
(/ y (+ 1.0 (/ x (/ 2.0 y))))

simplify110.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
08712998
137332200
250032045

prune265.0ms

Filtered
190 candidates to 120 candidates (63.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1891190
Fresh134
Picked011
Done000
Total1905195

Merged error: 0b

Counts
195 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 1 (/ (fma (/ x 2.0) y 1.0) y)))
0.1b
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
8.0b
(/ (fma (/ x 2.0) y 1.0) y)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
288×times-frac
217×add-sqr-sqrt
208×*-un-lft-identity
203×add-cube-cbrt
132×prod-diff
19×div-inv
16×add-exp-log associate-/r*
10×add-cbrt-cube
8×div-exp
6×associate-/l*
5×add-log-exp difference-of-squares
4×pow1 cbrt-undiv associate-/r/
3×expm1-log1p-u fma-neg log1p-expm1-u
2×rec-exp frac-2neg 1-exp clear-num distribute-lft-out--
1×sub-neg flip3-- pow-flip diff-log flip-- inv-pow
Counts
3 → 263
Calls
3 calls:
20.0ms
(- x (/ 1 (/ (fma (/ x 2.0) y 1.0) y)))
6.0ms
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
3.0ms
(/ (fma (/ x 2.0) y 1.0) y)

series147.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(- x (/ 1 (/ (fma (/ x 2.0) y 1.0) y)))
62.0ms
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
48.0ms
(/ (fma (/ x 2.0) y 1.0) y)

simplify86.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
012996937
150014721

prune265.0ms

Filtered
272 candidates to 106 candidates (39.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2720272
Fresh033
Picked011
Done011
Total2725277

Merged error: 0b

Counts
277 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
3.2b
(/ (cbrt y) (+ 1.0 (/ (* x y) 2.0)))
4.9b
(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ 1.0 (/ (* x y) 2.0))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
64×*-un-lft-identity
50×times-frac
43×add-sqr-sqrt
38×add-cube-cbrt
34×cbrt-prod
30×associate-*r*
18×add-exp-log
13×distribute-lft-out
11×add-cbrt-cube
9×pow1
6×prod-exp cbrt-unprod associate-/l*
4×expm1-log1p-u associate-/r* associate-/r/ log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp pow-prod-down unswap-sqr
2×flip3-+ pow1/3 flip-+ div-inv
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
4 → 131
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
7.0ms
(/ (cbrt y) (+ 1.0 (/ (* x y) 2.0)))
19.0ms
(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ 1.0 (/ (* x y) 2.0))))

series642.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt y)
180.0ms
(cbrt y)
199.0ms
(/ (cbrt y) (+ 1.0 (/ (* x y) 2.0)))
84.0ms
(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ 1.0 (/ (* x y) 2.0))))

simplify78.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06071275
130001109
250011060

prune301.0ms

Filtered
143 candidates to 110 candidates (76.9%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1430143
Fresh022
Picked011
Done022
Total1435148

Merged error: 0b

Counts
148 → 5

regimes39.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

sample399.0ms

Algorithm
intervals
Results
263.0ms7998×body80valid
0.0ms1×body2560valid
0.0ms1×body640valid