Details

Time bar (total: 3.9s)

sample521.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 93.847656%

Results
9.0ms31×body1280valid
9.0ms178×body80valid
7.0ms34×body640valid
3.0ms18×body320valid
1.0ms10×body160valid

simplify8.0ms

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: 2.7b

Counts
2 → 1

localize7.0ms

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)

rewrite17.0ms

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))
3.0ms
(/ (sin y) y)
6.0ms
(/ (* x (/ (sin y) y)) z)

series32.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
17.0ms
(/ (* x (/ (sin y) y)) z)

simplify42.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0326487
11643420
25002420

prune129.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New83992
Fresh000
Picked101
Done000
Total84993

Merged error: 0.0b

Counts
93 → 9

localize14.0ms

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

rewrite76.0ms

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:
25.0ms
(* x (/ 1 (/ y (sin y))))
6.0ms
(/ y (sin y))
10.0ms
(/ 1 (/ y (sin y)))
17.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

series56.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* x (/ 1 (/ y (sin y))))
9.0ms
(/ y (sin y))
7.0ms
(/ 1 (/ y (sin y)))
24.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

simplify81.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
07091443
136911225
250031088

prune168.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New2163219
Fresh268
Picked101
Done000
Total2199228

Merged error: 0b

Counts
228 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
153×times-frac
98×add-sqr-sqrt
89×add-cube-cbrt *-un-lft-identity
43×associate-*r*
19×add-exp-log add-cbrt-cube
16×associate-/l*
10×div-inv
7×cbrt-undiv div-exp
6×associate-/r*
5×pow1
3×associate-*l* prod-exp cbrt-unprod add-log-exp unswap-sqr
2×frac-2neg clear-num
1×associate-*r/ pow-prod-down *-commutative associate-/l/
Counts
3 → 162
Calls
3 calls:
6.0ms
(/ (/ (sin y) y) z)
4.0ms
(/ (sin y) y)
15.0ms
(* x (/ (/ (sin y) y) z))

series25.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/ (/ (sin y) y) z)
4.0ms
(/ (sin y) y)
14.0ms
(* x (/ (/ (sin y) y) z))

simplify81.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
06051176
128621100
250011100

prune153.0ms

Filtered
135 candidates to 171 candidates (-26.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1692171
Fresh268
Picked101
Done000
Total1728180

Merged error: 0b

Counts
180 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
31×add-cbrt-cube
25×add-sqr-sqrt
20×associate-*r*
18×prod-exp
17×*-un-lft-identity times-frac
16×add-cube-cbrt div-exp
10×cbrt-unprod
9×cbrt-undiv
7×pow1
6×associate-*l*
4×unswap-sqr
3×rec-exp 1-exp associate-*r/ associate-/r* div-inv add-log-exp
2×pow-prod-down un-div-inv *-commutative associate-/l/
1×frac-2neg clear-num associate-/l*
Counts
3 → 94
Calls
3 calls:
6.0ms
(/ (* (sin y) (/ 1 y)) z)
7.0ms
(* (sin y) (/ 1 y))
8.0ms
(* x (/ (* (sin y) (/ 1 y)) z))

series27.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ (* (sin y) (/ 1 y)) z)
4.0ms
(* (sin y) (/ 1 y))
14.0ms
(* x (/ (* (sin y) (/ 1 y)) z))

simplify52.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0445603
12181481
25001449

prune77.0ms

Filtered
66 candidates to 103 candidates (-56.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1030103
Fresh077
Picked011
Done000
Total1038111

Merged error: 0b

Counts
111 → 8

regimes392.0ms

Accuracy

90.9% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.0b

bsearch56.0ms

Steps
ItersRangePoint
10
7.610591338215133e-81
1.3573568797742545e-70
1.3453054567575802e-70
6
-2.2621910398989373e-07
-2.8829713329803328e-08
-2.2345965659923898e-07

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02914
12914

end0.0ms

sample1.8s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 93.847656%

Results
326.0ms1035×body1280valid
302.0ms5741×body80valid
227.0ms1029×body640valid
100.0ms589×body320valid
32.0ms304×body160valid

Profiling

Loading profile data...