Details

Time bar (total: 15.4s)

sample52.0ms

Algorithm
intervals
Results
15.0ms181×body80valid
10.0ms30×body1280valid
8.0ms35×body640valid
3.0ms21×body320valid
1.0ms11×body160valid

simplify40.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1128
2248
3488
4718
5798
done798

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize23.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
2.4b
(/ (* x (/ (sin y) y)) z)

rewrite58.0ms

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:
22.0ms
(* x (/ (sin y) y))
9.0ms
(/ (sin y) y)
22.0ms
(/ (* x (/ (sin y) y)) z)

series237.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(* x (/ (sin y) y))
40.0ms
(/ (sin y) y)
110.0ms
(/ (* x (/ (sin y) y)) z)

simplify880.0ms

Counts
98 → 98
Iterations

Useful iterations: done (877.0ms)

IterNodesCost
0145935
1352902
21725800
done5001797

prune347.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ z (/ (sin y) y))
0.1b
(/ (sin y) y)
2.2b
(/ x (/ z (/ (sin y) y)))

rewrite69.0ms

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:
14.0ms
(/ z (/ (sin y) y))
11.0ms
(/ (sin y) y)
24.0ms
(/ x (/ z (/ (sin y) y)))

series220.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(/ z (/ (sin y) y))
34.0ms
(/ (sin y) y)
95.0ms
(/ x (/ z (/ (sin y) y)))

simplify897.0ms

Counts
308 → 308
Iterations

Useful iterations: done (883.0ms)

IterNodesCost
04975179
114034900
done50014643

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ z (* (sin y) (/ 1 y)))
0.2b
(* (sin y) (/ 1 y))
2.2b
(/ x (/ z (* (sin y) (/ 1 y))))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
53×times-frac
49×add-exp-log
38×add-sqr-sqrt
32×*-un-lft-identity
31×add-cube-cbrt add-cbrt-cube
22×div-exp
13×cbrt-undiv associate-*r*
12×prod-exp
11×associate-/r/
10×associate-/r*
7×div-inv
6×associate-*r/ un-div-inv cbrt-unprod associate-/l*
5×pow1
3×expm1-log1p-u rec-exp 1-exp associate-*l* log1p-expm1-u add-log-exp unswap-sqr
2×frac-2neg clear-num
1×pow-prod-down *-commutative
Counts
3 → 129
Calls
3 calls:
28.0ms
(/ z (* (sin y) (/ 1 y)))
20.0ms
(* (sin y) (/ 1 y))
27.0ms
(/ x (/ z (* (sin y) (/ 1 y))))

series232.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(/ z (* (sin y) (/ 1 y)))
33.0ms
(* (sin y) (/ 1 y))
119.0ms
(/ x (/ z (* (sin y) (/ 1 y))))

simplify4.5s

Counts
138 → 138
Iterations

Useful iterations: done (4.5s)

IterNodesCost
02241740
15721637
243151243
done50011237

prune424.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
2.5b
(* (/ 1 z) (* x (/ (sin y) y)))

rewrite91.0ms

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
22×prod-exp
16×associate-*l*
14×associate-*r*
12×div-exp cbrt-unprod
10×pow1
7×cbrt-undiv
4×associate-*r/ pow-prod-down
3×expm1-log1p-u rec-exp 1-exp associate-/r* log1p-expm1-u div-inv associate-/l* add-log-exp
2×*-commutative unswap-sqr
1×frac-times frac-2neg associate-*l/ clear-num
Counts
3 → 110
Calls
3 calls:
20.0ms
(* x (/ (sin y) y))
19.0ms
(/ (sin y) y)
47.0ms
(* (/ 1 z) (* x (/ (sin y) y)))

series221.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(* x (/ (sin y) y))
41.0ms
(/ (sin y) y)
93.0ms
(* (/ 1 z) (* x (/ (sin y) y)))

simplify2.2s

Counts
119 → 119
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01771288
14721219
22676979
done5000967

prune399.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes291.0ms

Accuracy

43.2% (1.6b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.9b

bsearch35.0ms

Steps
ItersRangePoint
5
4.874224743411218e-110
1.819997012692534e-109
8.643245776965943e-110

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01522
11922
done1922

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.1s5852×body80valid
601.0ms987×body1280valid
485.0ms1009×body640valid
138.0ms540×body320valid
50.0ms292×body160valid