Details

Time bar (total: 14.5s)

sample76.0ms

Algorithm
intervals
Results
19.0ms42×body640valid
18.0ms187×body80valid
16.0ms26×body1280valid
6.0ms18×body320valid
2.0ms8×body160valid

simplify87.0ms

Counts
1 → 1
Iterations
IterNodes
done78
678
576
465
340
222
112
07

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize26.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
2.1b
(/ (* x (/ (sin y) y)) z)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×times-frac
21×*-un-lft-identity add-cube-cbrt
19×add-cbrt-cube add-exp-log
13×associate-*r*
6×cbrt-undiv associate-/r* div-exp
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×expm1-log1p-u associate-*l* insert-posit16 log1p-expm1-u div-inv add-log-exp
2×clear-num frac-2neg associate-*r/ unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 92
Calls
3 calls:
14.0ms
(* x (/ (sin y) y))
9.0ms
(/ (sin y) y)
25.0ms
(/ (* x (/ (sin y) y)) z)

series226.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(* x (/ (sin y) y))
55.0ms
(/ (sin y) y)
93.0ms
(/ (* x (/ (sin y) y)) z)

simplify1.7s

Counts
101 → 101
Iterations
IterNodes
done5000
21190
1347
0148

prune442.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
0.3b
(/ 1 (/ z (* x (/ (sin y) y))))
2.1b
(/ z (* x (/ (sin y) y)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
54×add-exp-log
44×add-sqr-sqrt
39×*-un-lft-identity add-cube-cbrt
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×expm1-log1p-u rec-exp 1-exp insert-posit16 log1p-expm1-u add-log-exp
3×clear-num frac-2neg associate-*l*
2×unswap-sqr
1×pow-prod-down *-commutative pow-flip inv-pow
Counts
4 → 159
Calls
4 calls:
17.0ms
(* x (/ (sin y) y))
12.0ms
(/ (sin y) y)
28.0ms
(/ 1 (/ z (* x (/ (sin y) y))))
11.0ms
(/ z (* x (/ (sin y) y)))

series340.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(* x (/ (sin y) y))
31.0ms
(/ (sin y) y)
91.0ms
(/ 1 (/ z (* x (/ (sin y) y))))
137.0ms
(/ z (* x (/ (sin y) y)))

simplify1.9s

Counts
171 → 171
Iterations
IterNodes
done5004
21891
1536
0232

prune594.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
153×times-frac
98×add-sqr-sqrt
89×*-un-lft-identity add-cube-cbrt
43×associate-*r*
19×add-cbrt-cube add-exp-log
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 insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×clear-num frac-2neg
1×pow-prod-down associate-*r/ *-commutative associate-/l/
Counts
3 → 171
Calls
3 calls:
14.0ms
(/ (/ (sin y) y) z)
16.0ms
(/ (sin y) y)
32.0ms
(* x (/ (/ (sin y) y) z))

series195.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(/ (/ (sin y) y) z)
42.0ms
(/ (sin y) y)
87.0ms
(* x (/ (/ (sin y) y) z))

simplify1.6s

Counts
180 → 180
Iterations
IterNodes
done5007
22085
1640
0257

prune852.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
480×times-frac
238×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
60×associate-/r*
23×div-inv
19×add-cbrt-cube add-exp-log
10×cbrt-undiv div-exp
9×associate-/l*
6×associate-/r/
3×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
Counts
3 → 302
Calls
3 calls:
11.0ms
(/ z (/ (sin y) y))
8.0ms
(/ (sin y) y)
26.0ms
(/ x (/ z (/ (sin y) y)))

series220.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(/ z (/ (sin y) y))
34.0ms
(/ (sin y) y)
109.0ms
(/ x (/ z (/ (sin y) y)))

simplify1.5s

Counts
311 → 311
Iterations
IterNodes
done5000
11340
0500

prune1.5s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes576.0ms

Accuracy

90.8% (0.3b remaining)

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

bsearch1.0ms

simplify3.0ms

Iterations
IterNodes
done25
125
019

end0.0ms

sample2.3s

Algorithm
intervals
Results
998.0ms5988×body80valid
479.0ms933×body1280valid
350.0ms974×body640valid
122.0ms537×body320valid
78.0ms311×body160valid