Details

Time bar (total: 2.8s)

sample46.0ms

Algorithm
intervals
Results
14.0ms34×body1280valid
9.0ms197×body80valid
4.0ms21×body640valid
3.0ms21×body320valid
1.0ms9×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0678
1678

prune9.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
2.2b
(/ (* x (/ (sin y) y)) z)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×times-frac
21×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
13×associate-*r*
6×cbrt-undiv div-exp associate-/r*
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×associate-*l* div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 83
Calls
3 calls:
6.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
6.0ms
(/ (* x (/ (sin y) y)) z)

series30.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
13.0ms
(/ (* x (/ (sin y) y)) z)

simplify56.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05459739

prune105.0ms

Filtered
66 candidates to 92 candidates (-39.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New84892
Fresh101
Picked101
Done000
Total86894

Merged error: 0.0b

Counts
94 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (/ 1 (/ y (sin y))))
0.1b
(/ y (sin y))
0.1b
(/ 1 (/ y (sin y)))
2.2b
(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
159×times-frac
106×add-sqr-sqrt
94×*-un-lft-identity
92×add-cube-cbrt
64×add-exp-log
44×associate-*r*
34×add-cbrt-cube
30×div-exp
19×associate-/r*
14×cbrt-undiv prod-exp
11×div-inv
7×pow1 associate-/l*
6×rec-exp 1-exp cbrt-unprod
5×unswap-sqr
4×add-log-exp
3×frac-2neg associate-*l* clear-num
2×associate-*r/ associate-/r/ un-div-inv associate-/l/
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
4 → 207
Calls
4 calls:
14.0ms
(* x (/ 1 (/ y (sin y))))
3.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))
10.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

series36.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* x (/ 1 (/ y (sin y))))
5.0ms
(/ y (sin y))
4.0ms
(/ 1 (/ y (sin y)))
17.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

simplify79.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
053661967

prune178.0ms

Filtered
140 candidates to 219 candidates (-56.4%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2181219
Fresh167
Picked101
Done000
Total2207227

Merged error: 0.0b

Counts
227 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ y (sin y))
0.1b
(/ x (/ y (sin y)))
2.2b
(/ (/ x (/ y (sin y))) z)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
480×times-frac
238×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
50×associate-/l*
23×div-inv
19×add-exp-log associate-/r* add-cbrt-cube
10×cbrt-undiv div-exp
5×associate-/r/
3×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
3 → 293
Calls
3 calls:
6.0ms
(/ y (sin y))
5.0ms
(/ x (/ y (sin y)))
12.0ms
(/ (/ x (/ y (sin y))) z)

series29.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ y (sin y))
10.0ms
(/ x (/ y (sin y)))
14.0ms
(/ (/ x (/ y (sin y))) z)

simplify81.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
050604547

prune249.0ms

Filtered
261 candidates to 302 candidates (-15.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3011302
Fresh156
Picked011
Done000
Total3027309

Merged error: 0b

Counts
309 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (cbrt x) (* z (cbrt (/ y (sin y)))))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×add-exp-log
6×times-frac add-cbrt-cube associate-/l*
4×pow1 add-log-exp
3×pow1/3
2×cbrt-undiv div-exp
1×cbrt-div frac-2neg associate-*r/ prod-exp clear-num associate-/r* associate-/r/ cbrt-unprod div-inv
Counts
4 → 61
Calls
4 calls:
6.0ms
(/ (cbrt x) (* z (cbrt (/ y (sin y)))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series93.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ (cbrt x) (* z (cbrt (/ y (sin y)))))
20.0ms
(cbrt x)
21.0ms
(cbrt x)
22.0ms
(cbrt x)

simplify44.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05007518

prune60.0ms

Filtered
55 candidates to 73 candidates (-32.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New73073
Fresh055
Picked011
Done011
Total73780

Merged error: 0b

Counts
80 → 7

regimes289.0ms

Accuracy

0% (1.9b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01628
11628

end0.0ms

sample1.2s

Algorithm
intervals
Results
295.0ms975×body1280valid
281.0ms5851×body80valid
214.0ms1043×body640valid
81.0ms545×body320valid
29.0ms294×body160valid

Profiling

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