Details

Time bar (total: 6.9s)

sample1.0s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 1.144409%

Guaranteed chance to sample good point: 85.549347%

Results
9.0ms171×body80valid
8.0ms26×body1280valid
7.0ms30×body640valid
5.0msbody640invalid
2.0ms15×body320valid
1.0ms14×body160valid
1.0ms12×body80invalid
0.0msbody320invalid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1244
2484
3714
4794
5794

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.8b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(* x (/ (sin y) y))
1.8b
(/ (* 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*
cbrt-undiv div-exp associate-/r*
pow1
prod-exp cbrt-unprod associate-/l*
associate-*l* div-inv add-log-exp
frac-2neg associate-*r/ clear-num unswap-sqr
pow-prod-down *-commutative associate-/l/
Counts
3 → 83
Calls
3 calls:
4.0ms
(/ (sin y) y)
7.0ms
(* x (/ (sin y) y))
7.0ms
(/ (* x (/ (sin y) y)) z)

series29.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ (sin y) y)
10.0ms
(* x (/ (sin y) y))
15.0ms
(/ (* x (/ (sin y) y)) z)

simplify52.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0326487
11643420
25002420

prune111.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New85792
Fresh000
Picked101
Done000
Total86793

Merged error: 0.0b

Counts
93 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ y (sin y))
0.1b
(/ 1 (/ y (sin y)))
0.1b
(* x (/ 1 (/ y (sin y))))
1.8b
(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite43.0ms

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
pow1 associate-/l*
rec-exp 1-exp cbrt-unprod
unswap-sqr
add-log-exp
frac-2neg associate-*l* clear-num
associate-*r/ associate-/r/ un-div-inv associate-/l/
pow-flip pow-prod-down *-commutative inv-pow
Counts
4 → 207
Calls
4 calls:
3.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))
14.0ms
(* x (/ 1 (/ y (sin y))))
12.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

series33.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ y (sin y))
4.0ms
(/ 1 (/ y (sin y)))
9.0ms
(* x (/ 1 (/ y (sin y))))
14.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

simplify94.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
07091443
136911225
250031088

prune163.0ms

Filtered
130 candidates to 219 candidates (-68.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2172219
Fresh246
Picked011
Done000
Total2197226

Merged error: 0b

Counts
226 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(* x (/ (sin y) y))
2.0b
(* (* x (/ (sin y) y)) (/ 1 z))

rewrite23.0ms

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
cbrt-undiv
associate-*r/ associate-*l* pow-prod-down
rec-exp 1-exp associate-/r* div-inv associate-/l* add-log-exp
*-commutative unswap-sqr
frac-times frac-2neg associate-*l/ clear-num un-div-inv
Counts
3 → 105
Calls
3 calls:
4.0ms
(/ (sin y) y)
6.0ms
(* x (/ (sin y) y))
9.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

series27.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ (sin y) y)
10.0ms
(* x (/ (sin y) y))
14.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

simplify73.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0480667
12656552
25001539

prune94.0ms

Filtered
72 candidates to 114 candidates (-58.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1131114
Fresh145
Picked011
Done011
Total1147121

Merged error: 0b

Counts
121 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.7b
(/ 1 (/ (/ z x) (/ (sin y) y)))
1.7b
(/ (/ z x) (/ (sin y) y))

rewrite129.0ms

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*
associate-/r/
rec-exp 1-exp
pow1
frac-2neg clear-num add-log-exp
pow-flip associate-/l/ inv-pow
Counts
3 → 974
Calls
3 calls:
3.0ms
(/ (sin y) y)
35.0ms
(/ 1 (/ (/ z x) (/ (sin y) y)))
10.0ms
(/ (/ z x) (/ (sin y) y))

series44.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ (sin y) y)
13.0ms
(/ 1 (/ (/ z x) (/ (sin y) y)))
27.0ms
(/ (/ z x) (/ (sin y) y))

simplify189.0ms

Algorithm
egg-herbie
Counts
983 → 983
Iterations

Useful iterations: 1 (70.0ms)

IterNodesCost
0367913387
1500212901

prune792.0ms

Filtered
667 candidates to 983 candidates (-47.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New9830983
Fresh044
Picked011
Done022
Total9837990

Merged error: 0b

Counts
990 → 7

regimes350.0ms

Accuracy

85.6% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02716
12716

end0.0ms

sample3.6s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 1.144409%

Guaranteed chance to sample good point: 85.549347%

Results
324.0ms993×body1280valid
280.0ms5179×body80valid
244.0ms1013×body640valid
89.0ms549×body320valid
30.0ms266×body160valid
25.0ms468×body80invalid
10.0ms47×body640invalid
8.0ms49×body320invalid
4.0ms37×body160invalid
3.0msbody1280invalid

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