Details

Time bar (total: 13.6s)

sample51.0ms

Algorithm
intervals
Results
32.0ms729×body80valid

simplify2.1s

Counts
1 → 1
Iterations
IterNodes
done5001
72733
6751
5308
4183
384
239
118
07

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y x))
7.8b
(/ (* (cosh x) (/ y x)) z)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
17×add-cbrt-cube add-exp-log
13×*-un-lft-identity times-frac associate-*r* add-cube-cbrt
5×pow1 cbrt-undiv cosh-def div-exp
4×prod-exp cbrt-unprod
3×associate-/r* associate-*l* insert-posit16 add-log-exp associate-/l/
2×frac-times associate-*l/ associate-*r/ div-inv unswap-sqr
1×clear-num frac-2neg pow-prod-down *-commutative associate-/l*
Counts
3 → 71
Calls
3 calls:
2.0ms
(cosh x)
19.0ms
(* (cosh x) (/ y x))
23.0ms
(/ (* (cosh x) (/ y x)) z)

series301.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(cosh x)
91.0ms
(* (cosh x) (/ y x))
137.0ms
(/ (* (cosh x) (/ y x)) z)

simplify1.4s

Counts
80 → 80
Iterations
IterNodes
done5001
21403
1379
0153

prune384.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) y)
7.0b
(/ (* (cosh x) y) (* z x))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
17×add-cbrt-cube add-exp-log
7×add-sqr-sqrt
5×pow1 *-un-lft-identity prod-exp add-cube-cbrt cbrt-unprod
4×cbrt-undiv div-exp
3×cosh-def associate-*r* associate-*l* insert-posit16 add-log-exp
2×associate-*l/
1×clear-num associate-/r* frac-2neg times-frac pow-prod-down *-commutative div-inv associate-/l* unswap-sqr associate-/l/
Counts
3 → 52
Calls
3 calls:
2.0ms
(cosh x)
12.0ms
(* (cosh x) y)
23.0ms
(/ (* (cosh x) y) (* z x))

series347.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(cosh x)
98.0ms
(* (cosh x) y)
186.0ms
(/ (* (cosh x) y) (* z x))

simplify1.0s

Counts
61 → 61
Iterations
IterNodes
done5179
21310
1302
0116

prune284.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) y)
0.2b
(/ 1 (/ (* z x) (* (cosh x) y)))
7.0b
(/ (* z x) (* (cosh x) y))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
62×add-exp-log
36×add-cbrt-cube
26×div-exp
23×times-frac
19×add-sqr-sqrt
17×*-un-lft-identity prod-exp add-cube-cbrt
13×cbrt-undiv
9×cbrt-unprod
7×pow1 cosh-def associate-/r*
6×associate-*l/ associate-/r/ div-inv
5×rec-exp 1-exp
4×insert-posit16 associate-/l* add-log-exp
3×associate-*r* associate-*l*
2×clear-num frac-2neg
1×pow-prod-down *-commutative pow-flip inv-pow unswap-sqr
Counts
4 → 113
Calls
4 calls:
2.0ms
(cosh x)
7.0ms
(* (cosh x) y)
15.0ms
(/ 1 (/ (* z x) (* (cosh x) y)))
12.0ms
(/ (* z x) (* (cosh x) y))

series515.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(cosh x)
103.0ms
(* (cosh x) y)
193.0ms
(/ 1 (/ (* z x) (* (cosh x) y)))
164.0ms
(/ (* z x) (* (cosh x) y))

simplify1.4s

Counts
125 → 125
Iterations
IterNodes
done5236
22166
1506
0199

prune474.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (cosh x))
0.0b
(cosh x)
0.2b
(/ (/ 1 z) x)
7.3b
(* (/ (/ 1 z) x) (* y (cosh x)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
85×add-sqr-sqrt
83×*-un-lft-identity add-cube-cbrt
50×add-exp-log
46×associate-*l*
32×add-cbrt-cube
18×div-exp
16×prod-exp
13×associate-/l*
11×pow1
10×cbrt-unprod
9×cbrt-undiv div-inv
4×cosh-def associate-*r* pow-prod-down associate-*r/ insert-posit16 add-log-exp
3×rec-exp associate-/r* 1-exp
2×*-commutative
1×frac-times clear-num frac-2neg associate-*l/ unswap-sqr associate-/l/
Counts
4 → 176
Calls
4 calls:
13.0ms
(* y (cosh x))
3.0ms
(cosh x)
15.0ms
(/ (/ 1 z) x)
51.0ms
(* (/ (/ 1 z) x) (* y (cosh x)))

series358.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* y (cosh x))
60.0ms
(cosh x)
11.0ms
(/ (/ 1 z) x)
223.0ms
(* (/ (/ 1 z) x) (* y (cosh x)))

simplify1.5s

Counts
188 → 188
Iterations
IterNodes
done5001
22552
1787
0280

prune632.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes244.0ms

Accuracy

92.5% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 6.8b

bsearch150.0ms

Steps
ItersRangePoint
9
9.02500824207313e+49
3.4070732292277083e+56
4.1988639493302256e+51
6
-3.804234113585076e+64
-6.369596787908093e+63
-6.434118062892472e+63

simplify8.0ms

Iterations
IterNodes
done33
133
026

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.6s22341×body80valid