Details

Time bar (total: 1.3s)

analyze23.0ms

Algorithm
search

sample12.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
193
293

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (+ x y) (- x y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
distribute-lft-out
associate-/r* distribute-lft-out-- difference-of-squares
associate-/l*
add-exp-log add-cbrt-cube
associate-/r/ associate-/l/
pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 45
Calls
1 calls:
7.0ms
(/ (+ x y) (- x y))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(/ (+ x y) (- x y))

simplify40.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0169288
1510274
21421270
35001270

prune48.0ms

Filtered
32 candidates to 48 candidates (-50.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New45348
Fresh000
Picked101
Done000
Total46349

Merged error: 0b

Counts
49 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (/ (- x y) (+ x y)))
0.0b
(/ (- x y) (+ x y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
174×*-un-lft-identity
122×add-sqr-sqrt
80×add-cube-cbrt
30×associate-/r*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
15×add-exp-log
11×associate-/r/
add-cbrt-cube
div-exp associate-/l*
div-inv
flip3-+ flip-+
cbrt-undiv
pow1
rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 174
Calls
2 calls:
13.0ms
(/ 1 (/ (- x y) (+ x y)))
7.0ms
(/ (- x y) (+ x y))

series16.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ 1 (/ (- x y) (+ x y)))
8.0ms
(/ (- x y) (+ x y))

simplify53.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04861462
121981311
250011167

prune85.0ms

Filtered
78 candidates to 180 candidates (-130.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1800180
Fresh022
Picked011
Done000
Total1803183

Merged error: 0b

Counts
183 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (exp (/ (+ x y) (- x y))))
0.0b
(exp (/ (+ x y) (- x y)))
0.0b
(/ (+ x y) (- x y))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
93×*-un-lft-identity
61×add-sqr-sqrt
60×times-frac
52×exp-prod
35×add-cube-cbrt
27×log-pow
16×distribute-lft-out
13×distribute-lft-out-- difference-of-squares
associate-/r/
add-exp-log associate-/r* add-cbrt-cube
pow1 associate-/l* add-log-exp
log-prod flip3-- flip-- div-inv
associate-/l/
cbrt-undiv frac-2neg flip3-+ div-exp rem-log-exp clear-num flip-+ rem-exp-log
Counts
3 → 117
Calls
3 calls:
9.0ms
(log (exp (/ (+ x y) (- x y))))
8.0ms
(exp (/ (+ x y) (- x y)))
7.0ms
(/ (+ x y) (- x y))

series29.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(log (exp (/ (+ x y) (- x y))))
12.0ms
(exp (/ (+ x y) (- x y)))
8.0ms
(/ (+ x y) (- x y))

simplify49.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
0235660
1607623
21640614
35002611

prune106.0ms

Filtered
84 candidates to 126 candidates (-50.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1260126
Fresh011
Picked011
Done011
Total1263129

Merged error: 0b

Counts
129 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x y) (- x y))
0.0b
(pow (/ (+ x y) (- x y)) 3)
0.0b
(cbrt (pow (/ (+ x y) (- x y)) 3))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
100×times-frac
98×add-sqr-sqrt
58×cbrt-prod
56×add-cube-cbrt
52×unpow-prod-down cube-prod
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
10×associate-/r/
add-exp-log add-cbrt-cube
flip3-- associate-/r* flip-- div-inv
pow1 associate-/l*
pow-unpow add-log-exp
cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
pow-to-exp cbrt-div pow-pow frac-2neg flip3-+ pow1/3 clear-num rem-cbrt-cube flip-+
Counts
3 → 185
Calls
3 calls:
7.0ms
(/ (+ x y) (- x y))
11.0ms
(pow (/ (+ x y) (- x y)) 3)
10.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))

series33.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(/ (+ x y) (- x y))
13.0ms
(pow (/ (+ x y) (- x y)) 3)
12.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))

simplify62.0ms

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04821409
121281316
250011298

prune132.0ms

Filtered
86 candidates to 194 candidates (-125.6%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1940194
Fresh000
Picked011
Done022
Total1943197

Merged error: 0b

Counts
197 → 3

regimes163.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

analyze25.0ms

Algorithm
search

sample284.0ms

Algorithm
intervals
Results
172.0ms8000×body80valid

Profiling

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