Details

Time bar (total: 14.1s)

sample69.0ms

Algorithm
intervals
Results
51.0ms686×body80valid

simplify1.3s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
8.3b
(/ (* (cosh x) (/ y x)) z)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-cbrt-cube add-exp-log
13×times-frac associate-*r*
12×*-un-lft-identity add-cube-cbrt
5×cbrt-undiv div-exp
4×pow1 cosh-def prod-exp cbrt-unprod
3×associate-/r* associate-*l* associate-/l/
2×frac-times associate-*l/ associate-*r/ insert-posit16 div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down *-commutative associate-/l*
Counts
2 → 62
Calls
2 calls:
9.0ms
(* (cosh x) (/ y x))
16.0ms
(/ (* (cosh x) (/ y x)) z)

series234.0ms

Counts
2 → 6
Calls
2 calls:
97.0ms
(* (cosh x) (/ y x))
137.0ms
(/ (* (cosh x) (/ y x)) z)

simplify1.4s

Counts
68 → 68
Iterations
IterNodes
done5000
21534
1349
0139

prune395.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) y)
5.0b
(/ (* (cosh x) y) (* z x))

rewrite34.0ms

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-*l/ insert-posit16 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 → 43
Calls
2 calls:
14.0ms
(* (cosh x) y)
19.0ms
(/ (* (cosh x) y) (* z x))

series263.0ms

Counts
2 → 6
Calls
2 calls:
97.0ms
(* (cosh x) y)
166.0ms
(/ (* (cosh x) y) (* z x))

simplify968.0ms

Counts
49 → 49
Iterations
IterNodes
done5001
21522
1279
0104

prune221.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) y)
0.0b
(/ (* (cosh x) y) z)
5.2b
(/ (/ (* (cosh x) y) z) x)

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
25×add-sqr-sqrt
23×*-un-lft-identity add-cube-cbrt
19×add-cbrt-cube add-exp-log
8×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r* div-inv
5×pow1
3×associate-*r* associate-*l* prod-exp cbrt-unprod insert-posit16 add-log-exp
2×cosh-def clear-num frac-2neg associate-*l/ associate-/l/
1×pow-prod-down *-commutative unswap-sqr
Counts
3 → 92
Calls
3 calls:
13.0ms
(* (cosh x) y)
22.0ms
(/ (* (cosh x) y) z)
11.0ms
(/ (/ (* (cosh x) y) z) x)

series344.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(* (cosh x) y)
105.0ms
(/ (* (cosh x) y) z)
156.0ms
(/ (/ (* (cosh x) y) z) x)

simplify1.4s

Counts
101 → 101
Iterations
IterNodes
done5002
22253
1440
0176

prune502.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) y)
0.0b
(/ (* (cosh x) y) z)
5.3b
(* (/ (* (cosh x) y) z) (/ 1 x))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
31×add-cbrt-cube
25×add-sqr-sqrt
18×prod-exp
17×*-un-lft-identity times-frac
16×div-exp associate-*r* add-cube-cbrt
10×associate-*l* cbrt-unprod
9×cbrt-undiv
7×pow1
4×unswap-sqr
3×rec-exp associate-/r* 1-exp associate-*l/ insert-posit16 div-inv add-log-exp
2×cosh-def pow-prod-down *-commutative
1×frac-times clear-num frac-2neg associate-*r/ un-div-inv associate-/l* associate-/l/
Counts
3 → 98
Calls
3 calls:
6.0ms
(* (cosh x) y)
22.0ms
(/ (* (cosh x) y) z)
37.0ms
(* (/ (* (cosh x) y) z) (/ 1 x))

series369.0ms

Counts
3 → 9
Calls
3 calls:
99.0ms
(* (cosh x) y)
107.0ms
(/ (* (cosh x) y) z)
163.0ms
(* (/ (* (cosh x) y) z) (/ 1 x))

simplify2.3s

Counts
107 → 107
Iterations
IterNodes
done5000
23609
1545
0189

prune442.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes180.0ms

Accuracy

95% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 6.5b

bsearch164.0ms

Steps
ItersRangePoint
8
3.380708520404637e-12
3.869069856444949e-09
6.306951740289983e-10
8
-1.4722493709618549e+53
-4.1367821655395864e+50
-4.198394949665206e+50

simplify2.0ms

Iterations
IterNodes
done20
120
015

end0.0ms

sample3.3s

Algorithm
intervals
Results
2.6s22452×body80valid