Details

Time bar (total: 10.3s)

sample63.0ms

Algorithm
intervals
Results
32.0ms730×body80valid

simplify711.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.2b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y x))
9.6b
(/ (* (cosh x) (/ y x)) z)

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
17×add-exp-log add-cbrt-cube
13×add-cube-cbrt *-un-lft-identity times-frac associate-*r*
5×pow1 cbrt-undiv cosh-def div-exp
4×prod-exp cbrt-unprod
3×associate-*l* associate-/r* associate-/l/ add-log-exp
2×frac-times associate-*r/ associate-*l/ div-inv unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
3 → 68
Calls
3 calls:
3.0ms
(cosh x)
30.0ms
(* (cosh x) (/ y x))
27.0ms
(/ (* (cosh x) (/ y x)) z)

series320.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(cosh x)
103.0ms
(* (cosh x) (/ y x))
165.0ms
(/ (* (cosh x) (/ y x)) z)

simplify676.0ms

Counts
77 → 77

prune284.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y (* x z)))
7.5b
(/ y (* x z))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×times-frac
5×pow1 prod-exp cbrt-unprod
4×cbrt-undiv div-exp
3×cosh-def associate-*l* associate-/l* add-log-exp
2×div-inv
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative unswap-sqr
Counts
3 → 58
Calls
3 calls:
1.0ms
(cosh x)
23.0ms
(* (cosh x) (/ y (* x z)))
8.0ms
(/ y (* x z))

series275.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(cosh x)
181.0ms
(* (cosh x) (/ y (* x z)))
39.0ms
(/ y (* x z))

simplify605.0ms

Counts
67 → 67

prune238.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (* (/ 1 x) (/ y z)))
7.7b
(* (/ 1 x) (/ y z))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
57×add-exp-log
35×add-sqr-sqrt
33×add-cbrt-cube
25×times-frac prod-exp
20×*-un-lft-identity
18×add-cube-cbrt
16×div-exp associate-*l*
14×associate-*r*
13×cbrt-unprod
10×pow1
8×cbrt-undiv
6×frac-times associate-*r/ unswap-sqr
5×cosh-def
4×rec-exp 1-exp pow-prod-down associate-*l/
3×add-log-exp
2×*-commutative div-inv
Counts
3 → 99
Calls
3 calls:
3.0ms
(cosh x)
74.0ms
(* (cosh x) (* (/ 1 x) (/ y z)))
51.0ms
(* (/ 1 x) (/ y z))

series243.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(cosh x)
159.0ms
(* (cosh x) (* (/ 1 x) (/ y z)))
29.0ms
(* (/ 1 x) (/ y z))

simplify998.0ms

Counts
108 → 108

prune322.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (* (/ 1 1) (/ (/ y z) x)))
7.6b
(/ (/ y z) x)

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
91×add-exp-log
75×times-frac
46×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
43×prod-exp
37×add-cbrt-cube
36×div-exp
15×1-exp
13×cbrt-unprod associate-/l*
12×cbrt-undiv
8×pow1
6×rec-exp
5×frac-times cosh-def associate-*r/ div-inv
3×associate-*l* pow-prod-down associate-*l/ associate-/r* add-log-exp
1×frac-2neg associate-*r* clear-num *-commutative associate-/l/
Counts
3 → 128
Calls
3 calls:
1.0ms
(cosh x)
95.0ms
(* (cosh x) (* (/ 1 1) (/ (/ y z) x)))
29.0ms
(/ (/ y z) x)

series277.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(cosh x)
171.0ms
(* (cosh x) (* (/ 1 1) (/ (/ y z) x)))
31.0ms
(/ (/ y z) x)

simplify1.1s

Counts
137 → 137

prune384.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes151.0ms

Accuracy

-1.2% (6.9b remaining)

Error of 7.0b against oracle of 0.1b and baseline of 6.9b

bsearch131.0ms

Steps
ItersRangePoint
6
9.332781299051781e-05
0.00038687692640540744
0.000273177232586214
8
-7.591856052842685e-24
-7.232019057282941e-28
-2.4014304081022685e-24

simplify726.0ms

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.4s22015×body80valid