Details

Time bar (total: 3.2s)

sample16.0ms

Algorithm
intervals
Results
9.0ms256×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

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* x y) 2.0)
7.9b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
15×times-frac
13×add-sqr-sqrt add-cube-cbrt
9×add-exp-log add-cbrt-cube
7×associate-/r*
4×distribute-lft-out associate-/l*
3×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/r/ div-inv add-log-exp
1×flip3-+ prod-exp cbrt-unprod flip-+
Counts
2 → 54
Calls
2 calls:
3.0ms
(/ (* x y) 2.0)
9.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series83.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (* x y) 2.0)
64.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify36.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0299361
11304334
25001330

prune115.0ms

Filtered
60 candidates to 43 candidates (71.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* x y) 2.0)
0.2b
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
7.7b
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
30×add-sqr-sqrt
29×times-frac
23×add-cube-cbrt
21×add-exp-log
18×associate-*r*
15×add-cbrt-cube
7×associate-/r* distribute-lft-out
6×pow1 div-exp
5×prod-exp
4×cbrt-undiv associate-/r/ associate-/l*
3×associate-*l* cbrt-unprod div-inv add-log-exp unswap-sqr
2×rec-exp frac-2neg flip3-+ 1-exp clear-num flip-+
1×pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
3 → 99
Calls
3 calls:
3.0ms
(/ (* x y) 2.0)
9.0ms
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
22.0ms
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

series137.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(/ (* x y) 2.0)
50.0ms
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
65.0ms
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

simplify57.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0442686
12226602
25001564

prune181.0ms

Filtered
108 candidates to 64 candidates (59.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* x y) 2.0)
0.1b
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.8b
(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
111×times-frac
95×*-un-lft-identity
63×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
21×add-exp-log
16×distribute-lft-out
15×add-cbrt-cube
10×div-exp
8×associate-/l*
7×div-inv
6×cbrt-undiv
4×pow1
3×frac-2neg clear-num add-log-exp
2×rec-exp 1-exp associate-/l/
1×pow-flip flip3-+ prod-exp associate-/r/ cbrt-unprod flip-+ inv-pow
Counts
3 → 142
Calls
3 calls:
3.0ms
(/ (* x y) 2.0)
12.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
15.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

series137.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(/ (* x y) 2.0)
62.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
55.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify65.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05341269
126361138
250021051

prune222.0ms

Filtered
151 candidates to 79 candidates (52.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

1.6b
(* y (* (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0))))))
8.0b
(cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0))))
8.0b
(cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0))))
8.0b
(cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
54×cbrt-prod
47×*-un-lft-identity
36×times-frac
30×add-sqr-sqrt
29×add-cube-cbrt
9×pow1 add-exp-log distribute-lft-out
7×cbrt-div add-cbrt-cube
6×associate-/r/
4×associate-*r/ add-log-exp
3×flip3-+ pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod flip-+ div-inv
1×frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 103
Calls
4 calls:
41.0ms
(* y (* (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0))))))
5.0ms
(cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0))))
5.0ms
(cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0))))
5.0ms
(cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0))))

series1.3s

Counts
4 → 12
Calls
4 calls:
429.0ms
(* y (* (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0)))) (cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0))))))
274.0ms
(cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0))))
274.0ms
(cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0))))
275.0ms
(cbrt (/ 1 (+ 1.0 (/ (* x y) 2.0))))

simplify57.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04651524
115221432
250011370

prune327.0ms

Filtered
115 candidates to 80 candidates (69.6%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes30.0ms

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
0166
1166

end0.0ms

sample331.0ms

Algorithm
intervals
Results
204.0ms7998×body80valid
0.0ms1×body2560valid
0.0ms1×body160valid