Details

Time bar (total: 5.8s)

sample41.0ms

Algorithm
intervals
Results
10.0ms32×body1280valid
9.0ms188×body80valid
8.0ms27×body640valid
3.0ms19×body320valid
1.0ms14×body160valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0124
1244
2484
3714
4794
5794

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.6b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.2b
(/ (sin y) y)
2.6b
(/ (* x (/ (sin y) y)) z)

rewrite19.0ms

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)

series142.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(* x (/ (sin y) y))
24.0ms
(/ (sin y) y)
67.0ms
(/ (* x (/ (sin y) y)) z)

simplify48.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0326487
11643420
25002420

prune172.0ms

Filtered
92 candidates to 66 candidates (71.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New83992
Fresh000
Picked101
Done000
Total84993

Merged error: 0b

Counts
93 → 9

localize9.0ms

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)))
2.6b
(/ (* 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)

series163.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* x (/ 1 (/ y (sin y))))
21.0ms
(/ y (sin y))
27.0ms
(/ 1 (/ y (sin y)))
67.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

simplify92.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
07091443
136911225
250031088

prune324.0ms

Filtered
219 candidates to 130 candidates (59.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2163219
Fresh358
Picked011
Done000
Total2199228

Merged error: 0b

Counts
228 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (sin y) y)
0.5b
(/ 1 (/ (/ z x) (/ (sin y) y)))
1.5b
(/ (/ z x) (/ (sin y) y))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
2564×times-frac
1114×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
190×associate-/r*
139×div-inv
61×add-exp-log
43×div-exp
35×add-cbrt-cube
22×cbrt-undiv
19×associate-/l*
6×associate-/r/
5×rec-exp 1-exp
4×pow1
3×frac-2neg clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 974
Calls
3 calls:
7.0ms
(/ (sin y) y)
33.0ms
(/ 1 (/ (/ z x) (/ (sin y) y)))
11.0ms
(/ (/ z x) (/ (sin y) y))

series187.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ (sin y) y)
66.0ms
(/ 1 (/ (/ z x) (/ (sin y) y)))
97.0ms
(/ (/ z x) (/ (sin y) y))

simplify193.0ms

Algorithm
egg-herbie
Counts
983 → 983
Iterations

Useful iterations: 1 (66.0ms)

IterNodesCost
0370513389
1500112903

prune1.9s

Filtered
983 candidates to 669 candidates (68.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New9821983
Fresh257
Picked011
Done011
Total9848992

Merged error: 0b

Counts
992 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ x (/ y (sin y)))
0.1b
(/ y (sin y))
2.6b
(/ (/ x (/ y (sin y))) z)

rewrite42.0ms

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
(/ x (/ y (sin y)))
3.0ms
(/ y (sin y))
16.0ms
(/ (/ x (/ y (sin y))) z)

series212.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(/ x (/ y (sin y)))
37.0ms
(/ y (sin y))
90.0ms
(/ (/ x (/ y (sin y))) z)

simplify57.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011622917
150022805

prune627.0ms

Filtered
302 candidates to 259 candidates (85.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New3020302
Fresh055
Picked011
Done022
Total3028310

Merged error: 0b

Counts
310 → 8

regimes176.0ms

Accuracy

72.1% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 3.2b

bsearch55.0ms

Steps
ItersRangePoint
3
5.349976108716951e-193
7.090688654261665e-193
6.98189412016512e-193
8
-0.007710139315013249
-3.895343399462064e-06
-6.0383395689400104e-05

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02413
12413

end0.0ms

sample1.1s

Algorithm
intervals
Results
308.0ms988×body1280valid
288.0ms5844×body80valid
213.0ms1009×body640valid
82.0ms559×body320valid
32.0ms315×body160valid

Profiling

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