Details

Time bar (total: 2.0s)

analyze49.0ms

Algorithm
search

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

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 2 expressions with local error:

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

rewrite11.0ms

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:
4.0ms
(/ (* x y) 2.0)
6.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series15.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ (* x y) 2.0)
12.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify35.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0299361
11304334
25002330

prune81.0ms

Filtered
43 candidates to 60 candidates (-39.5%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New57360
Fresh000
Picked101
Done000
Total58361

Merged error: 0b

Counts
61 → 3

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)

rewrite27.0ms

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:
4.0ms
(/ (* x y) 2.0)
8.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

series21.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(/ (* x y) 2.0)
10.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify65.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05341267
126361136
250021049

prune119.0ms

Filtered
77 candidates to 151 candidates (-96.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1510151
Fresh022
Picked011
Done000
Total1513154

Merged error: 0b

Counts
154 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
0.4b
(/ y (sqrt 2.0))
0.5b
(/ x (sqrt 2.0))
7.9b
(/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
98×add-sqr-sqrt
93×times-frac
68×add-cube-cbrt *-un-lft-identity
48×sqrt-prod
22×add-exp-log associate-*r* associate-*l* add-cbrt-cube
15×associate-/r*
9×associate-/l* unswap-sqr
7×cbrt-undiv div-exp
6×pow1
5×div-inv
4×prod-exp cbrt-unprod add-log-exp
3×frac-2neg clear-num
2×associate-/r/
1×frac-times flip3-+ associate-*r/ pow-prod-down associate-*l/ *-commutative flip-+
Counts
4 → 180
Calls
4 calls:
18.0ms
(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
4.0ms
(/ y (sqrt 2.0))
4.0ms
(/ x (sqrt 2.0))
4.0ms
(/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))

series54.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
5.0ms
(/ y (sqrt 2.0))
5.0ms
(/ x (sqrt 2.0))
31.0ms
(/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))

simplify72.0ms

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06151422
128771324
250021274

prune282.0ms

Filtered
127 candidates to 192 candidates (-51.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1920192
Fresh011
Picked011
Done011
Total1923195

Merged error: 0b

Counts
195 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

1.7b
(* (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))))
8.1b
(cbrt (+ 1.0 (/ (* x y) 2.0)))
8.1b
(cbrt (+ 1.0 (/ (* x y) 2.0)))
8.1b
(cbrt (+ 1.0 (/ (* x y) 2.0)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
44×add-sqr-sqrt
38×*-un-lft-identity
36×times-frac
27×cbrt-prod associate-*r*
23×add-cube-cbrt
20×cbrt-div prod-exp
18×add-cbrt-cube
15×div-exp associate-*l*
10×flip3-+ associate-/r/ flip-+
9×unswap-sqr
8×cbrt-unprod
7×cbrt-undiv
6×pow1 distribute-lft-out
5×frac-times
4×rec-exp 1-exp add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 125
Calls
4 calls:
27.0ms
(* (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))))
4.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
4.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
4.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))

series149.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))))
43.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
41.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
55.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))

simplify85.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
07242243
132921969
250011791

prune305.0ms

Filtered
95 candidates to 137 candidates (-44.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1370137
Fresh000
Picked011
Done022
Total1373140

Merged error: 0b

Counts
140 → 3

regimes72.0ms

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
0156
1156

end0.0ms

analyze45.0ms

Algorithm
search

sample392.0ms

Algorithm
intervals
Results
264.0ms7998×body80valid
0.0ms2×body160valid

Profiling

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