Details

Time bar (total: 3.7s)

sample46.0ms

Algorithm
intervals
Results
14.0ms187×body80valid
10.0ms32×body1280valid
7.0ms33×body640valid
3.0ms20×body320valid
1.0ms9×body160valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 2.8b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
2.7b
(/ (* 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:
7.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
6.0ms
(/ (* x (/ (sin y) y)) z)

series152.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(* x (/ (sin y) y))
26.0ms
(/ (sin y) y)
70.0ms
(/ (* x (/ (sin y) y)) z)

simplify47.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0326487
11643420
25002420

prune171.0ms

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 3 expressions with local error:

0.1b
(* x (* (sin y) (/ 1 y)))
0.2b
(* (sin y) (/ 1 y))
2.7b
(/ (* x (* (sin y) (/ 1 y))) z)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
31×add-cbrt-cube
22×prod-exp
21×add-sqr-sqrt
15×*-un-lft-identity
14×add-cube-cbrt times-frac associate-*r*
12×div-exp cbrt-unprod
10×pow1
7×cbrt-undiv associate-*r/
6×associate-*l*
4×pow-prod-down
3×rec-exp 1-exp associate-/r* un-div-inv add-log-exp unswap-sqr
2×*-commutative div-inv associate-/l/
1×frac-2neg clear-num associate-/l*
Counts
3 → 89
Calls
3 calls:
8.0ms
(* x (* (sin y) (/ 1 y)))
7.0ms
(* (sin y) (/ 1 y))
9.0ms
(/ (* x (* (sin y) (/ 1 y))) z)

series150.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(* x (* (sin y) (/ 1 y)))
25.0ms
(* (sin y) (/ 1 y))
68.0ms
(/ (* x (* (sin y) (/ 1 y))) z)

simplify54.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0415565
12095432
25002410

prune139.0ms

Filtered
98 candidates to 61 candidates (62.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New97198
Fresh358
Picked011
Done000
Total1007107

Merged error: 0b

Counts
107 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(* x (/ (sin y) y))
2.8b
(* (* x (/ (sin y) y)) (/ 1 z))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
31×add-sqr-sqrt add-cbrt-cube
28×times-frac
26×add-cube-cbrt *-un-lft-identity associate-*r*
22×prod-exp
12×div-exp cbrt-unprod
10×pow1
7×cbrt-undiv
4×associate-*r/ associate-*l* pow-prod-down
3×rec-exp 1-exp associate-/r* div-inv associate-/l* add-log-exp
2×*-commutative unswap-sqr
1×frac-times frac-2neg associate-*l/ clear-num un-div-inv
Counts
3 → 105
Calls
3 calls:
4.0ms
(/ (sin y) y)
7.0ms
(* x (/ (sin y) y))
10.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

series154.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ (sin y) y)
57.0ms
(* x (/ (sin y) y))
72.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

simplify66.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0480667
12656552
25001539

prune192.0ms

Filtered
114 candidates to 72 candidates (63.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1140114
Fresh055
Picked011
Done011
Total1147121

Merged error: 0b

Counts
121 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ z (/ (sin y) y))
0.1b
(/ (sin y) y)
3.2b
(/ x (/ z (/ (sin y) y)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
480×times-frac
238×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
60×associate-/r*
23×div-inv
19×add-exp-log add-cbrt-cube
10×cbrt-undiv div-exp
9×associate-/l*
6×associate-/r/
3×pow1 frac-2neg clear-num add-log-exp
Counts
3 → 293
Calls
3 calls:
6.0ms
(/ z (/ (sin y) y))
4.0ms
(/ (sin y) y)
12.0ms
(/ x (/ z (/ (sin y) y)))

series205.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(/ z (/ (sin y) y))
27.0ms
(/ (sin y) y)
97.0ms
(/ x (/ z (/ (sin y) y)))

simplify59.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
011102950
150012830

prune635.0ms

Filtered
302 candidates to 259 candidates (85.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New3011302
Fresh314
Picked011
Done022
Total3045309

Merged error: 0b

Counts
309 → 5

regimes171.0ms

Accuracy

90% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.8b

bsearch75.0ms

Steps
ItersRangePoint
6
1.0394710987719883e+20
4.879392936676561e+20
1.3370545613482387e+20
8
-3.600788287802158e+84
-6.70343471697742e+80
-1.8902076800124093e+81

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02714
12714

end0.0ms

sample1.2s

Algorithm
intervals
Results
343.0ms1049×body1280valid
296.0ms5792×body80valid
243.0ms1042×body640valid
88.0ms569×body320valid
31.0ms284×body160valid

Profiling

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