Details

Time bar (total: 11.0s)

sample57.0ms

Algorithm
intervals
Results
28.0ms657×body80valid

simplify831.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite85.0ms

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)
29.0ms
(* (cosh x) (/ y x))
49.0ms
(/ (* (cosh x) (/ y x)) z)

series390.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(cosh x)
124.0ms
(* (cosh x) (/ y x))
187.0ms
(/ (* (cosh x) (/ y x)) z)

simplify747.0ms

Counts
77 → 77

prune266.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y (* x z)))
6.1b
(/ y (* x z))

rewrite40.0ms

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)
26.0ms
(* (cosh x) (/ y (* x z)))
11.0ms
(/ y (* x z))

series281.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(cosh x)
177.0ms
(* (cosh x) (/ y (* x z)))
42.0ms
(/ y (* x z))

simplify669.0ms

Counts
67 → 67

prune248.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) y)
0.2b
(* (* (cosh x) y) (/ 1 x))
7.5b
(/ (* (* (cosh x) y) (/ 1 x)) z)

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
60×add-exp-log
36×add-cbrt-cube
25×prod-exp
17×add-sqr-sqrt div-exp
16×associate-*r*
15×add-cube-cbrt *-un-lft-identity
13×cbrt-unprod
12×times-frac
11×pow1
9×cbrt-undiv
7×associate-*l/
6×cosh-def
4×rec-exp 1-exp associate-*l* pow-prod-down associate-/l/ add-log-exp
3×associate-/r*
2×frac-times associate-*r/ un-div-inv *-commutative div-inv
1×frac-2neg clear-num associate-/l* unswap-sqr
Counts
4 → 102
Calls
4 calls:
1.0ms
(cosh x)
11.0ms
(* (cosh x) y)
51.0ms
(* (* (cosh x) y) (/ 1 x))
42.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

series387.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(cosh x)
77.0ms
(* (cosh x) y)
114.0ms
(* (* (cosh x) y) (/ 1 x))
135.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

simplify1.2s

Counts
114 → 114

prune322.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (* (/ 1 x) (/ y z)))
8.3b
(* (/ 1 x) (/ y z))

rewrite123.0ms

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:
1.0ms
(cosh x)
72.0ms
(* (cosh x) (* (/ 1 x) (/ y z)))
45.0ms
(* (/ 1 x) (/ y z))

series233.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(cosh x)
153.0ms
(* (cosh x) (* (/ 1 x) (/ y z)))
22.0ms
(* (/ 1 x) (/ y z))

simplify908.0ms

Counts
108 → 108

prune334.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes243.0ms

Accuracy

0% (6.8b remaining)

Error of 6.8b against oracle of 0.1b and baseline of 6.8b

bsearch122.0ms

Steps
ItersRangePoint
3
37906.79036729775
51141.47312026252
42042.628727599236
10
-2.2715018018427623e+21
-19147056015.956158
-12057758525001.123

simplify586.0ms

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.7s22226×body80valid