Details

Time bar (total: 16.4s)

sample120.0ms

Algorithm
intervals
Results
41.0ms91×body640valid
33.0ms86×body1280valid
14.0ms245×body80valid
9.0ms51×body320valid
2.0ms20×body160valid

simplify966.0ms

Counts
1 → 1
Iterations
IterNodes
done5000
6745
5179
496
356
228
115
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ (sin y) y))
0.1b
(/ (sin y) y)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×*-un-lft-identity add-cube-cbrt
13×associate-*r*
9×add-cbrt-cube add-exp-log
4×pow1
3×associate-/r* associate-*l* associate-/l*
2×cbrt-undiv cosh-def div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 61
Calls
2 calls:
16.0ms
(* (cosh x) (/ (sin y) y))
7.0ms
(/ (sin y) y)

series123.0ms

Counts
2 → 6
Calls
2 calls:
90.0ms
(* (cosh x) (/ (sin y) y))
33.0ms
(/ (sin y) y)

simplify903.0ms

Counts
67 → 67
Iterations
IterNodes
done5000
21286
1275
0120

prune335.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (/ 1 (/ y (sin y))))
0.1b
(/ y (sin y))
0.1b
(/ 1 (/ y (sin y)))

rewrite70.0ms

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×cosh-def clear-num frac-2neg associate-/r/
1×frac-times pow-prod-down associate-*l/ associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
3 → 178
Calls
3 calls:
41.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
5.0ms
(/ y (sin y))
9.0ms
(/ 1 (/ y (sin y)))

series155.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
29.0ms
(/ y (sin y))
44.0ms
(/ 1 (/ y (sin y)))

simplify647.0ms

Counts
187 → 187
Iterations
IterNodes
done5000
1690
0259

prune930.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
0.1b
(/ 1 (sin y))
0.2b
(/ (/ 1 y) (/ 1 (sin y)))

rewrite188.0ms

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×cosh-def clear-num frac-2neg associate-/r/
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative pow-flip inv-pow associate-/l/
Counts
3 → 479
Calls
3 calls:
103.0ms
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
8.0ms
(/ 1 (sin y))
31.0ms
(/ (/ 1 y) (/ 1 (sin y)))

series179.0ms

Counts
3 → 9
Calls
3 calls:
103.0ms
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
22.0ms
(/ 1 (sin y))
54.0ms
(/ (/ 1 y) (/ 1 (sin y)))

simplify1.3s

Counts
488 → 488
Iterations
IterNodes
done5000
12217
0624

prune1.8s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×*-un-lft-identity add-cube-cbrt
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-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
2.0ms
(cbrt (/ y (sin y)))
2.0ms
(cbrt (/ y (sin y)))
2.0ms
(cbrt (/ y (sin y)))
29.0ms
(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))

series793.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(cbrt (/ y (sin y)))
161.0ms
(cbrt (/ y (sin y)))
198.0ms
(cbrt (/ y (sin y)))
236.0ms
(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))

simplify1.4s

Counts
156 → 156
Iterations
IterNodes
done5000
21331
1316
0169

prune1.0s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes306.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done7
17
06

end0.0ms

sample4.9s

Algorithm
intervals
Results
1.6s2991×body1280valid
1.1s8570×body80valid
897.0ms2396×body640valid
582.0ms1190×body320valid
129.0ms646×body160valid