Details

Time bar (total: 7.7s)

sample34.0ms

Algorithm
intervals
Results
9.0ms32×body1280valid
8.0ms198×body80valid
5.0ms27×body640valid
3.0ms22×body320valid
1.0ms6×body160valid

simplify32.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
078
1128
2238
3488
4678
5768
done768

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

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:
7.0ms
(* x (/ (sin y) y))
3.0ms
(/ (sin y) y)
5.0ms
(/ (* x (/ (sin y) y)) z)

series142.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(* x (/ (sin y) y))
24.0ms
(/ (sin y) y)
66.0ms
(/ (* x (/ (sin y) y)) z)

simplify523.0ms

Counts
98 → 98
Iterations

Useful iterations: 2 (120.0ms)

IterNodesCost
0145935
1332898
21074782
done5001782

prune212.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

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-/l*
5×pow1
4×prod-exp associate-/r* cbrt-unprod
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 associate-/r/ *-commutative
Counts
3 → 89
Calls
3 calls:
7.0ms
(* z (/ y (sin y)))
2.0ms
(/ y (sin y))
5.0ms
(/ x (* z (/ y (sin y))))

series160.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(* z (/ y (sin y)))
21.0ms
(/ y (sin y))
76.0ms
(/ x (* z (/ y (sin y))))

simplify1.7s

Counts
98 → 98
Iterations

Useful iterations: 3 (651.0ms)

IterNodesCost
0145935
1325901
21025784
34830781
done5000781

prune196.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ y (sin y))
2.0b
(/ (/ x z) (/ y (sin y)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
430×times-frac
206×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
30×div-inv
16×add-exp-log associate-/r* add-cbrt-cube associate-/l*
9×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/r/ associate-/l/
Counts
2 → 246
Calls
2 calls:
2.0ms
(/ y (sin y))
11.0ms
(/ (/ x z) (/ y (sin y)))

series104.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ y (sin y))
80.0ms
(/ (/ x z) (/ y (sin y)))

simplify1.6s

Counts
252 → 252
Iterations

Useful iterations: 2 (851.0ms)

IterNodesCost
04594745
113204436
247824276
done50004276

prune631.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
54×add-exp-log
34×add-cbrt-cube
30×add-sqr-sqrt
24×*-un-lft-identity
23×add-cube-cbrt times-frac
22×prod-exp
14×div-exp associate-*r*
12×pow1 cbrt-unprod
8×cbrt-undiv
7×associate-*r/
6×associate-*l* associate-/l*
4×expm1-log1p-u rec-exp 1-exp pow-prod-down associate-/r* log1p-expm1-u add-log-exp
3×un-div-inv div-inv unswap-sqr
2×frac-2neg clear-num associate-/r/ *-commutative
1×pow-flip inv-pow
Counts
4 → 128
Calls
4 calls:
2.0ms
(/ 1 (sin y))
12.0ms
(* z (* y (/ 1 (sin y))))
8.0ms
(* y (/ 1 (sin y)))
12.0ms
(/ x (* z (* y (/ 1 (sin y)))))

series172.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ 1 (sin y))
60.0ms
(* z (* y (/ 1 (sin y))))
24.0ms
(* y (/ 1 (sin y)))
72.0ms
(/ x (* z (* y (/ 1 (sin y)))))

simplify585.0ms

Counts
140 → 140
Iterations

Useful iterations: 2 (170.0ms)

IterNodesCost
01861438
14431131
21241941
done5000941

prune236.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes183.0ms

Accuracy

49% (1.4b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.9b

bsearch1.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01527
11727
done1727

end0.0ms

sample1.0s

Algorithm
intervals
Results
284.0ms998×body1280valid
246.0ms5900×body80valid
190.0ms988×body640valid
87.0ms599×body320valid
27.0ms299×body160valid