Details

Time bar (total: 3.5s)

sample35.0ms

Algorithm
intervals
Results
7.0ms183×body80valid
7.0ms26×body1280valid
6.0ms33×body640valid
4.0ms29×body320valid
1.0ms11×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: 1.8b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

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

series147.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(* x (/ (sin y) y))
24.0ms
(/ (sin y) y)
68.0ms
(/ (* x (/ (sin y) y)) z)

simplify45.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0326487
11643420
25001420

prune194.0ms

Filtered
92 candidates to 66 candidates (71.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New84892
Fresh000
Picked101
Done000
Total85893

Merged error: 0b

Counts
93 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

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:
16.0ms
(* x (/ 1 (/ y (sin y))))
7.0ms
(/ 1 (/ y (sin y)))
4.0ms
(/ y (sin y))
11.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

series175.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* x (/ 1 (/ y (sin y))))
30.0ms
(/ 1 (/ y (sin y)))
22.0ms
(/ y (sin y))
70.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

simplify87.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
07091445
136911227
250031090

prune370.0ms

Filtered
219 candidates to 131 candidates (59.8%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2172219
Fresh347
Picked101
Done000
Total2216227

Merged error: 0b

Counts
227 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
33×add-exp-log
24×add-cbrt-cube
19×associate-/r*
17×div-exp
11×cbrt-undiv
7×div-inv associate-/l*
6×prod-exp
3×pow1 frac-2neg 1-exp clear-num cbrt-unprod add-log-exp
1×associate-*r/ associate-/r/ associate-/l/
Counts
3 → 126
Calls
3 calls:
6.0ms
(/ x (/ y (sin y)))
3.0ms
(/ y (sin y))
9.0ms
(/ (* 1 (/ x (/ y (sin y)))) z)

series138.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ x (/ y (sin y)))
25.0ms
(/ y (sin y))
63.0ms
(/ (* 1 (/ x (/ y (sin y)))) z)

simplify67.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0551933
12779850
25002842

prune292.0ms

Filtered
135 candidates to 101 candidates (74.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1332135
Fresh235
Picked011
Done000
Total1356141

Merged error: 0b

Counts
141 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ x (/ y (sin y)))
0.1b
(/ y (sin y))
1.9b
(* (* 1 (/ x (/ y (sin y)))) (/ 1 z))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
109×add-exp-log
93×times-frac
60×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
52×prod-exp
42×div-exp add-cbrt-cube
19×1-exp
16×associate-/r*
14×cbrt-undiv cbrt-unprod
13×associate-*r*
8×pow1
7×rec-exp div-inv
6×associate-/l*
3×associate-*r/ pow-prod-down add-log-exp
2×frac-2neg clear-num
1×frac-times associate-*l* associate-*l/ associate-/r/ un-div-inv *-commutative
Counts
3 → 161
Calls
3 calls:
6.0ms
(/ x (/ y (sin y)))
4.0ms
(/ y (sin y))
14.0ms
(* (* 1 (/ x (/ y (sin y)))) (/ 1 z))

series140.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ x (/ y (sin y)))
26.0ms
(/ y (sin y))
64.0ms
(* (* 1 (/ x (/ y (sin y)))) (/ 1 z))

simplify79.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
07651191
133601018
250021005

prune304.0ms

Filtered
170 candidates to 108 candidates (63.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1700170
Fresh044
Picked011
Done011
Total1706176

Merged error: 0b

Counts
176 → 6

regimes128.0ms

Accuracy

78.9% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.7b

bsearch46.0ms

Steps
ItersRangePoint
3
1.8250189704727073e-11
2.2008713026740717e-11
1.8954912827604628e-11
7
-1.3713005222206513e-164
-2.2425153991656442e-166
-1.3512002039165097e-164

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0259
1279
2279

end0.0ms

sample1.0s

Algorithm
intervals
Results
280.0ms987×body1280valid
245.0ms5816×body80valid
192.0ms1042×body640valid
77.0ms603×body320valid
30.0ms293×body160valid