Details

Time bar (total: 14.8s)

sample46.0ms

Algorithm
intervals
Results
12.0ms36×body1280valid
10.0ms197×body80valid
7.0ms29×body640valid
3.0ms16×body320valid
1.0ms10×body160valid

simplify39.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1128
2248
3488
4718
5798
done798

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

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:
15.0ms
(* x (/ (sin y) y))
9.0ms
(/ (sin y) y)
15.0ms
(/ (* x (/ (sin y) y)) z)

series190.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(* x (/ (sin y) y))
37.0ms
(/ (sin y) y)
84.0ms
(/ (* x (/ (sin y) y)) z)

simplify830.0ms

Counts
98 → 98
Iterations

Useful iterations: done (828.0ms)

IterNodesCost
0145935
1352902
21725800
done5001797

prune326.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite74.0ms

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:
19.0ms
(/ z (/ (sin y) y))
14.0ms
(/ (sin y) y)
21.0ms
(/ x (/ z (/ (sin y) y)))

series235.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(/ z (/ (sin y) y))
33.0ms
(/ (sin y) y)
108.0ms
(/ x (/ z (/ (sin y) y)))

simplify968.0ms

Counts
308 → 308
Iterations

Useful iterations: done (951.0ms)

IterNodesCost
04975179
114034900
done50014643

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ z (/ (sin y) y))
0.1b
(/ (sin y) y)
2.0b
(/ x (pow (/ z (/ (sin y) y)) 1))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
492×times-frac
246×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
176×unpow-prod-down
64×associate-/r*
23×div-inv
22×add-exp-log
12×div-exp add-cbrt-cube
9×associate-/l*
5×cbrt-undiv associate-/r/
4×sqr-pow
3×pow1 expm1-log1p-u frac-2neg pow-exp clear-num log1p-expm1-u add-log-exp
1×pow-to-exp
Counts
3 → 314
Calls
3 calls:
25.0ms
(/ z (/ (sin y) y))
18.0ms
(/ (sin y) y)
59.0ms
(/ x (pow (/ z (/ (sin y) y)) 1))

series211.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(/ z (/ (sin y) y))
27.0ms
(/ (sin y) y)
100.0ms
(/ x (pow (/ z (/ (sin y) y)) 1))

simplify961.0ms

Counts
323 → 323
Iterations

Useful iterations: done (948.0ms)

IterNodesCost
06116160
114315173
done50004936

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (* (sin y) (/ 1 y)))
0.3b
(* (sin y) (/ 1 y))
2.5b
(/ (* x (* (sin y) (/ 1 y))) z)

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
31×add-cbrt-cube
22×prod-exp
21×add-sqr-sqrt
15×*-un-lft-identity
14×add-cube-cbrt times-frac associate-*r*
12×div-exp cbrt-unprod
10×pow1
7×cbrt-undiv associate-*r/
6×associate-*l*
4×pow-prod-down
3×expm1-log1p-u rec-exp 1-exp associate-/r* un-div-inv log1p-expm1-u add-log-exp unswap-sqr
2×*-commutative div-inv associate-/l/
1×frac-2neg clear-num associate-/l*
Counts
3 → 95
Calls
3 calls:
34.0ms
(* x (* (sin y) (/ 1 y)))
27.0ms
(* (sin y) (/ 1 y))
55.0ms
(/ (* x (* (sin y) (/ 1 y))) z)

series230.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(* x (* (sin y) (/ 1 y)))
44.0ms
(* (sin y) (/ 1 y))
98.0ms
(/ (* x (* (sin y) (/ 1 y))) z)

simplify5.0s

Counts
104 → 104
Iterations

Useful iterations: done (5.0s)

IterNodesCost
01641168
14381075
23664772
done5000743

prune289.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes219.0ms

Accuracy

42.1% (1.7b remaining)

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

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01729
12227
done2227

end0.0ms

sample2.5s

Algorithm
intervals
Results
769.0ms1060×body640valid
585.0ms1021×body1280valid
495.0ms5797×body80valid
132.0ms562×body320valid
82.0ms302×body160valid