Details

Time bar (total: 13.4s)

sample110.0ms

Algorithm
intervals
Results
31.0ms193×body80valid
27.0ms36×body640valid
23.0ms23×body1280valid
9.0ms17×body320valid
2.0msbody160valid

simplify106.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize25.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(* x (/ (sin y) y))
2.3b
(/ (* x (/ (sin y) y)) z)

rewrite45.0ms

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*
cbrt-undiv associate-/r* div-exp
pow1
prod-exp cbrt-unprod associate-/l*
associate-*l* insert-posit16 div-inv add-log-exp
clear-num frac-2neg associate-*r/ unswap-sqr
pow-prod-down *-commutative associate-/l/
Counts
3 → 86
Calls
3 calls:
8.0ms
(/ (sin y) y)
14.0ms
(* x (/ (sin y) y))
22.0ms
(/ (* x (/ (sin y) y)) z)

series230.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ (sin y) y)
93.0ms
(* x (/ (sin y) y))
101.0ms
(/ (* x (/ (sin y) y)) z)

simplify1.6s

Counts
95 → 95
Iterations
IterNodes
done5000
21178
1342
0142

prune356.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite45.0ms

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
associate-/l*
associate-/r/
pow1 clear-num frac-2neg insert-posit16 add-log-exp
Counts
3 → 296
Calls
3 calls:
19.0ms
(/ (sin y) y)
6.0ms
(/ z (/ (sin y) y))
7.0ms
(/ x (/ z (/ (sin y) y)))

series276.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ (sin y) y)
101.0ms
(/ z (/ (sin y) y))
130.0ms
(/ x (/ z (/ (sin y) y)))

simplify1.4s

Counts
305 → 305
Iterations
IterNodes
done5001
11345
0494

prune1.6s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
48×times-frac
40×add-exp-log
30×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
28×add-cbrt-cube
21×div-exp
13×cbrt-undiv
12×associate-/r*
associate-/l*
prod-exp
div-inv
associate-/r/
associate-*r/
1-exp cbrt-unprod
pow1 clear-num frac-2neg insert-posit16 add-log-exp
Counts
3 → 112
Calls
3 calls:
16.0ms
(/ (sin y) y)
9.0ms
(/ z (* 1 (/ (sin y) y)))
10.0ms
(/ x (/ z (* 1 (/ (sin y) y))))

series283.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ (sin y) y)
93.0ms
(/ z (* 1 (/ (sin y) y)))
146.0ms
(/ x (/ z (* 1 (/ (sin y) y))))

simplify1.6s

Counts
121 → 121
Iterations
IterNodes
done5002
21588
1490
0207

prune508.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

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*
cbrt-undiv div-exp associate-/l*
pow1
associate-/r* prod-exp cbrt-unprod
associate-*l* insert-posit16 div-inv add-log-exp
clear-num frac-2neg associate-*r/ unswap-sqr
pow-prod-down associate-/r/ *-commutative
Counts
3 → 86
Calls
3 calls:
4.0ms
(/ y (sin y))
11.0ms
(* z (/ y (sin y)))
14.0ms
(/ x (* z (/ y (sin y))))

series271.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ y (sin y))
108.0ms
(* z (/ y (sin y)))
119.0ms
(/ x (* z (/ y (sin y))))

simplify1.0s

Counts
95 → 95
Iterations
IterNodes
done5001
21070
1331
0142

prune408.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes198.0ms

Accuracy

49.5% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.7b

bsearch66.0ms

Steps
ItersRangePoint
7
-1.0655363365485027e+18
-6.599107358080548e+16
-1.2889274271188022e+17

simplify2.0ms

Iterations
IterNodes
done15
115
013

end0.0ms

sample3.2s

Algorithm
intervals
Results
997.0ms1046×body640valid
838.0ms5916×body80valid
766.0ms914×body1280valid
237.0ms578×body320valid
71.0ms277×body160valid