Details

Time bar (total: 4.4s)

sample35.0ms

Algorithm
intervals
Results
9.0ms196×body80valid
7.0ms25×body1280valid
7.0ms36×body640valid
2.0ms13×body320valid
1.0ms6×body160valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1244
2484
3714
4794
5794

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize7.0ms

Local error

Found 3 expressions with local error:

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

series154.0ms

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

simplify46.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0326487
11643420
25001420

prune209.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (/ (sin y) y) z)
0.1b
(/ (sin y) y)
2.5b
(* 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×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)
14.0ms
(* x (/ (/ (sin y) y) z))

series132.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ (/ (sin y) y) z)
25.0ms
(/ (sin y) y)
69.0ms
(* x (/ (/ (sin y) y) z))

simplify68.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
06051176
128621100
250011100

prune420.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

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:
4.0ms
(/ (sin y) y)
9.0ms
(/ z (/ (sin y) y))
11.0ms
(/ x (/ z (/ (sin y) y)))

series176.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ (sin y) y)
70.0ms
(/ z (/ (sin y) y))
81.0ms
(/ x (/ z (/ (sin y) y)))

simplify54.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
011102950
150012830

prune883.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
1.3b
(/ 1 (/ z (* x (/ (sin y) y))))
2.7b
(/ z (* x (/ (sin y) y)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
54×add-exp-log
44×add-sqr-sqrt
39×add-cube-cbrt *-un-lft-identity
34×add-cbrt-cube
26×div-exp
14×cbrt-undiv
13×associate-*r*
12×associate-/r*
10×prod-exp
9×associate-/l*
8×div-inv
7×pow1
6×associate-*r/ associate-/r/ cbrt-unprod
4×rec-exp 1-exp add-log-exp
3×frac-2neg associate-*l* clear-num
2×unswap-sqr
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
4 → 147
Calls
4 calls:
6.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
8.0ms
(/ 1 (/ z (* x (/ (sin y) y))))
6.0ms
(/ z (* x (/ (sin y) y)))

series247.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* x (/ (sin y) y))
24.0ms
(/ (sin y) y)
70.0ms
(/ 1 (/ z (* x (/ (sin y) y))))
98.0ms
(/ z (* x (/ (sin y) y)))

simplify88.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
05081006
12791859
25002818

prune353.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes175.0ms

Accuracy

65.7% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 2.9b

bsearch70.0ms

Steps
ItersRangePoint
10
4.78543668174494e+90
1.0373295748430644e+104
3.7079327528267037e+92
7
-7.962500063408967e+55
-1.2789128298244494e+54
-6.935889317180773e+55

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0218
1218

end0.0ms

sample1.1s

Algorithm
intervals
Results
314.0ms1036×body1280valid
265.0ms5807×body80valid
205.0ms1031×body640valid
78.0ms564×body320valid
24.0ms247×body160valid