Details

Time bar (total: 9.2s)

sample29.0ms

Algorithm
intervals
Results
6.0ms168×body80valid
6.0ms25×body1280valid
5.0ms34×body640valid
2.0ms19×body320valid
1.0ms10×body160valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
056
186
2116
3156
4166
done166

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 59
Calls
2 calls:
7.0ms
(* x (/ (sin y) y))
3.0ms
(/ (sin y) y)

series83.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(* x (/ (sin y) y))
26.0ms
(/ (sin y) y)

simplify457.0ms

Counts
65 → 65
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
098571
1217545
2946493
done5001493

prune140.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
156×times-frac
103×add-sqr-sqrt
91×*-un-lft-identity
89×add-cube-cbrt
44×associate-*r*
35×add-exp-log
19×add-cbrt-cube
16×associate-/r*
15×div-exp
10×div-inv
7×cbrt-undiv prod-exp
6×pow1 associate-/l*
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/r/
1×pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
3 → 176
Calls
3 calls:
20.0ms
(* x (/ 1 (/ y (sin y))))
2.0ms
(/ y (sin y))
5.0ms
(/ 1 (/ y (sin y)))

series109.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(* x (/ 1 (/ y (sin y))))
23.0ms
(/ y (sin y))
30.0ms
(/ 1 (/ y (sin y)))

simplify1.5s

Counts
185 → 185
Iterations

Useful iterations: 2 (232.0ms)

IterNodesCost
02382193
15801848
222261493
done50001493

prune328.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
854×times-frac
426×add-sqr-sqrt
397×*-un-lft-identity
391×add-cube-cbrt
174×associate-*r*
105×add-exp-log
66×div-exp
57×div-inv
35×add-cbrt-cube
17×cbrt-undiv rec-exp 1-exp prod-exp
16×associate-/r* associate-/l*
10×unswap-sqr
6×pow1
5×cbrt-unprod
3×associate-*l* add-log-exp
2×frac-2neg clear-num associate-/r/
1×pow-flip associate-*r/ pow-prod-down *-commutative associate-/l/ inv-pow
Counts
3 → 477
Calls
3 calls:
5.0ms
(/ 1 (sin y))
57.0ms
(* x (/ (/ 1 y) (/ 1 (sin y))))
14.0ms
(/ (/ 1 y) (/ 1 (sin y)))

series96.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(/ 1 (sin y))
58.0ms
(* x (/ (/ 1 y) (/ 1 (sin y))))
25.0ms
(/ (/ 1 y) (/ 1 (sin y)))

simplify867.0ms

Counts
486 → 486
Iterations

Useful iterations: done (854.0ms)

IterNodesCost
06038246
118106489
done50004963

prune641.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
0.3b
(cbrt (/ y (sin y)))
0.3b
(cbrt (/ y (sin y)))
0.3b
(cbrt (/ y (sin y)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
19.0ms
(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
4.0ms
(cbrt (/ y (sin y)))
2.0ms
(cbrt (/ y (sin y)))
2.0ms
(cbrt (/ y (sin y)))

series605.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
143.0ms
(cbrt (/ y (sin y)))
138.0ms
(cbrt (/ y (sin y)))
141.0ms
(cbrt (/ y (sin y)))

simplify2.7s

Counts
156 → 156
Iterations

Useful iterations: 3 (521.0ms)

IterNodesCost
01692215
12872084
210092004
346041900
done50001900

prune469.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes97.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1108
done108

end0.0ms

sample840.0ms

Algorithm
intervals
Results
240.0ms963×body1280valid
198.0ms5218×body80valid
153.0ms972×body640valid
66.0ms551×body320valid
24.0ms296×body160valid