Details

Time bar (total: 1.6s)

analyze24.0ms

Algorithm
search

sample12.0ms

Algorithm
intervals
Results
5.0ms256×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
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×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 (12.0ms)

IterNodesCost
0169288
1510274
21421270
35001270

prune56.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New42648
Fresh000
Picked101
Done000
Total43649

Merged error: 0b

Counts
49 → 6

localize10.0ms

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))

rewrite31.0ms

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
6×associate-/r/
5×add-exp-log associate-/r* add-cbrt-cube
4×pow1 associate-/l* add-log-exp
3×log-prod flip3-- flip-- div-inv
2×associate-/l/
1×cbrt-undiv frac-2neg flip3-+ div-exp rem-log-exp clear-num flip-+ rem-exp-log
Counts
3 → 117
Calls
3 calls:
10.0ms
(log (exp (/ (+ x y) (- x y))))
8.0ms
(exp (/ (+ x y) (- x y)))
7.0ms
(/ (+ x y) (- x y))

series28.0ms

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))

simplify46.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
0235660
1607623
21640614
35002611

prune118.0ms

Filtered
82 candidates to 126 candidates (-53.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1242126
Fresh235
Picked101
Done000
Total1275132

Merged error: 0b

Counts
132 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite39.0ms

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/
8×add-exp-log add-cbrt-cube
5×flip3-- associate-/r* flip-- div-inv
4×pow1 associate-/l*
3×pow-unpow add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg flip3-+ pow1/3 clear-num rem-cbrt-cube flip-+
Counts
3 → 185
Calls
3 calls:
11.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))
7.0ms
(/ (+ x y) (- x y))
12.0ms
(pow (/ (+ x y) (- x y)) 3)

series32.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))
8.0ms
(/ (+ x y) (- x y))
13.0ms
(pow (/ (+ x y) (- x y)) 3)

simplify66.0ms

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04821409
121281316
250011298

prune126.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1940194
Fresh044
Picked011
Done000
Total1945199

Merged error: 0b

Counts
199 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (/ (+ x y) (- x y)))
0.0b
(/ (+ x y) (- x y))
0.0b
(/ (+ x y) (- x y))
0.5b
(* (sqrt (exp (/ (+ x y) (- x y)))) (sqrt (exp (/ (+ x y) (- x y)))))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
612×*-un-lft-identity
330×exp-prod
320×times-frac
312×sqrt-pow1
240×add-sqr-sqrt
128×add-cube-cbrt
105×distribute-lft-out
90×distribute-lft-out--
59×pow-prod-down
53×pow-prod-up
51×pow-sqr
50×difference-of-squares
19×pow1
18×sqrt-prod associate-/r/
10×add-exp-log associate-/r* add-cbrt-cube
9×flip3-- flip-- div-inv
8×pow1/2 swap-sqr associate-/l*
6×associate-*r* associate-*l*
5×add-log-exp
4×associate-/l/ unswap-sqr
2×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod rem-exp-log
Counts
4 → 325
Calls
4 calls:
9.0ms
(exp (/ (+ x y) (- x y)))
8.0ms
(/ (+ x y) (- x y))
8.0ms
(/ (+ x y) (- x y))
67.0ms
(* (sqrt (exp (/ (+ x y) (- x y)))) (sqrt (exp (/ (+ x y) (- x y)))))

series40.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(exp (/ (+ x y) (- x y)))
8.0ms
(/ (+ x y) (- x y))
8.0ms
(/ (+ x y) (- x y))
12.0ms
(* (sqrt (exp (/ (+ x y) (- x y)))) (sqrt (exp (/ (+ x y) (- x y)))))

simplify74.0ms

Algorithm
egg-herbie
Counts
337 → 337
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
04802082
119451974
250011637

prune215.0ms

Filtered
144 candidates to 337 candidates (-134.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New3370337
Fresh033
Picked011
Done011
Total3375342

Merged error: 0b

Counts
342 → 5

regimes124.0ms

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
095
195

end0.0ms

analyze23.0ms

Algorithm
search

sample291.0ms

Algorithm
intervals
Results
173.0ms8000×body80valid

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