Details

Time bar (total: 3.9s)

sample39.0ms

Algorithm
intervals
Results
11.0ms41×body1280valid
8.0ms43×body640valid
7.0ms172×body80valid
2.0ms13×body320valid
1.0ms10×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: 2.9b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.2b
(/ (sin y) y)
2.9b
(/ (* x (/ (sin y) y)) z)

rewrite20.0ms

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×expm1-log1p-u associate-*l* log1p-expm1-u div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 89
Calls
3 calls:
7.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
7.0ms
(/ (* x (/ (sin y) y)) z)

series140.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(* x (/ (sin y) y))
24.0ms
(/ (sin y) y)
67.0ms
(/ (* x (/ (sin y) y)) z)

simplify49.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0333511
11655443
25001443

prune186.0ms

Filtered
98 candidates to 72 candidates (73.5%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New871198
Fresh000
Picked101
Done000
Total881199

Merged error: 0.0b

Counts
99 → 11

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

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×expm1-log1p-u associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
2×frac-2neg clear-num
1×associate-*r/ pow-prod-down *-commutative associate-/l/
Counts
3 → 168
Calls
3 calls:
6.0ms
(/ (/ (sin y) y) z)
4.0ms
(/ (sin y) y)
14.0ms
(* x (/ (/ (sin y) y) z))

series124.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ (/ (sin y) y) z)
24.0ms
(/ (sin y) y)
66.0ms
(* x (/ (/ (sin y) y) z))

simplify71.0ms

Algorithm
egg-herbie
Counts
177 → 177
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
06161200
128811122
250021122

prune341.0ms

Filtered
177 candidates to 142 candidates (80.2%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1752177
Fresh3710
Picked011
Done000
Total17810188

Merged error: 0b

Counts
188 → 10

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ z (/ (sin y) y))
0.2b
(/ (sin y) y)
2.8b
(/ x (/ z (/ (sin y) y)))

rewrite42.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
3 → 299
Calls
3 calls:
6.0ms
(/ z (/ (sin y) y))
4.0ms
(/ (sin y) y)
15.0ms
(/ x (/ z (/ (sin y) y)))

series169.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(/ z (/ (sin y) y))
24.0ms
(/ (sin y) y)
80.0ms
(/ x (/ z (/ (sin y) y)))

simplify59.0ms

Algorithm
egg-herbie
Counts
308 → 308
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
011172974
150012852

prune676.0ms

Filtered
308 candidates to 265 candidates (86.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3053308
Fresh538
Picked101
Done011
Total3117318

Merged error: 0b

Counts
318 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (/ 1 (/ y (sin y))))
0.2b
(/ y (sin y))
0.3b
(/ 1 (/ y (sin y)))
2.9b
(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite48.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 215
Calls
4 calls:
15.0ms
(* x (/ 1 (/ y (sin y))))
3.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))
11.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

series171.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* x (/ 1 (/ y (sin y))))
22.0ms
(/ y (sin y))
30.0ms
(/ 1 (/ y (sin y)))
64.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

simplify88.0ms

Algorithm
egg-herbie
Counts
227 → 227
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
07201479
137141260
250021123

prune323.0ms

Filtered
227 candidates to 139 candidates (61.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2270227
Fresh055
Picked011
Done011
Total2277234

Merged error: 0b

Counts
234 → 7

regimes129.0ms

Accuracy

90.2% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.6b

bsearch100.0ms

Steps
ItersRangePoint
10
1.923934098216373e-18
0.06406876111163662
4.936958352665599e-18
9
-2.129605142238758e-61
-1.09146159441297e-67
-1.970857708228195e-61

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0259
1259

end0.0ms

sample1.0s

Algorithm
intervals
Results
259.0ms923×body1280valid
255.0ms5957×body80valid
198.0ms1012×body640valid
74.0ms560×body320valid
30.0ms287×body160valid