Details

Time bar (total: 13.5s)

sample66.0ms

Algorithm
intervals
Results
32.0ms699×body80valid

simplify1.4s

Counts
1 → 1
Iterations
IterNodes
done5001
61941
5500
4222
3102
241
118
07

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (/ y (* z x)) (cosh x))
5.1b
(/ y (* z x))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube add-exp-log
9×add-sqr-sqrt
7×*-un-lft-identity associate-*l* add-cube-cbrt
6×times-frac
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp
3×associate-*r* associate-/l*
2×cosh-def div-inv add-log-exp
1×frac-times clear-num associate-/r* frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative unswap-sqr
Counts
2 → 50
Calls
2 calls:
28.0ms
(* (/ y (* z x)) (cosh x))
6.0ms
(/ y (* z x))

series245.0ms

Counts
2 → 6
Calls
2 calls:
207.0ms
(* (/ y (* z x)) (cosh x))
37.0ms
(/ y (* z x))

simplify1.2s

Counts
56 → 56
Iterations
IterNodes
done5000
21739
1284
0106

prune296.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (cosh x))
5.1b
(/ (* y (cosh x)) (* z x))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube add-exp-log
6×add-sqr-sqrt
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv *-un-lft-identity div-exp add-cube-cbrt
3×associate-*r* associate-*l*
2×cosh-def associate-*r/ add-log-exp
1×clear-num associate-/r* frac-2neg times-frac pow-prod-down *-commutative div-inv associate-/l* unswap-sqr associate-/l/
Counts
2 → 41
Calls
2 calls:
12.0ms
(* y (cosh x))
21.0ms
(/ (* y (cosh x)) (* z x))

series297.0ms

Counts
2 → 6
Calls
2 calls:
88.0ms
(* y (cosh x))
209.0ms
(/ (* y (cosh x)) (* z x))

simplify948.0ms

Counts
47 → 47
Iterations
IterNodes
done5000
21480
1280
099

prune256.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (cosh x) x)
0.2b
(/ z (/ (cosh x) x))
5.1b
(/ y (/ z (/ (cosh x) x)))

rewrite88.0ms

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
9×associate-/l*
6×associate-/r/
3×pow1 clear-num frac-2neg add-log-exp
1×cosh-def associate-/l/
Counts
3 → 294
Calls
3 calls:
16.0ms
(/ (cosh x) x)
14.0ms
(/ z (/ (cosh x) x))
30.0ms
(/ y (/ z (/ (cosh x) x)))

series462.0ms

Counts
3 → 9
Calls
3 calls:
104.0ms
(/ (cosh x) x)
172.0ms
(/ z (/ (cosh x) x))
186.0ms
(/ y (/ z (/ (cosh x) x)))

simplify925.0ms

Counts
303 → 303
Iterations
IterNodes
done5001
11432
0507

prune1.8s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (cosh x))
0.2b
(/ (/ 1 z) x)
5.7b
(* (* y (cosh x)) (/ (/ 1 z) x))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
84×add-sqr-sqrt
82×*-un-lft-identity add-cube-cbrt
49×add-exp-log
46×associate-*r*
31×add-cbrt-cube
18×div-exp
16×prod-exp
13×associate-/l*
10×pow1 cbrt-unprod
9×cbrt-undiv div-inv
4×associate-*l* pow-prod-down associate-*r/
3×rec-exp cosh-def associate-/r* 1-exp add-log-exp
2×*-commutative
1×frac-times clear-num frac-2neg associate-*l/ unswap-sqr associate-/l/
Counts
3 → 164
Calls
3 calls:
8.0ms
(* y (cosh x))
10.0ms
(/ (/ 1 z) x)
34.0ms
(* (* y (cosh x)) (/ (/ 1 z) x))

series336.0ms

Counts
3 → 9
Calls
3 calls:
96.0ms
(* y (cosh x))
19.0ms
(/ (/ 1 z) x)
221.0ms
(* (* y (cosh x)) (/ (/ 1 z) x))

simplify471.0ms

Counts
173 → 173
Iterations
IterNodes
done5001
1833
0269

prune830.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes499.0ms

Accuracy

90.7% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 7.0b

bsearch98.0ms

Steps
ItersRangePoint
5
1.2790266617330037e-96
4.5988542204754404e-96
4.489894380771519e-96
7
-2.6787974459236572e-15
-5.10986653714767e-17
-2.560829197112517e-15

simplify7.0ms

Iterations
IterNodes
done28
228
127
018

end0.0ms

sample3.1s

Algorithm
intervals
Results
2.0s22046×body80valid