Details

Time bar (total: 17.3s)

sample81.0ms

Algorithm
intervals
Results
48.0ms750×body80valid

simplify7.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
078
1188
2418
31028
42248
53778
65928
712288
834768
done50008

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
8.7b
(/ (* (cosh x) (/ y x)) z)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*r*
12×add-cube-cbrt *-un-lft-identity
5×cbrt-undiv div-exp
4×pow1 cosh-def prod-exp cbrt-unprod
3×associate-*l* associate-/r* associate-/l/
2×expm1-log1p-u frac-times associate-*r/ associate-*l/ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
2 → 64
Calls
2 calls:
16.0ms
(* (cosh x) (/ y x))
27.0ms
(/ (* (cosh x) (/ y x)) z)

series270.0ms

Counts
2 → 6
Calls
2 calls:
111.0ms
(* (cosh x) (/ y x))
159.0ms
(/ (* (cosh x) (/ y x)) z)

simplify1.9s

Counts
70 → 70
Iterations

Useful iterations: 2 (234.0ms)

IterNodesCost
0141739
1338701
21303600
done5000600

prune213.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ (cosh x) (/ x (/ y z)))
5.7b
(/ x (/ y z))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
471×times-frac
229×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
57×associate-/r*
22×div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
6×associate-/r/ associate-/l*
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×cosh-def associate-/l/
Counts
2 → 271
Calls
2 calls:
41.0ms
(/ (cosh x) (/ x (/ y z)))
23.0ms
(/ x (/ y z))

series211.0ms

Counts
2 → 6
Calls
2 calls:
187.0ms
(/ (cosh x) (/ x (/ y z)))
25.0ms
(/ x (/ y z))

simplify2.6s

Counts
277 → 277
Iterations

Useful iterations: 2 (963.0ms)

IterNodesCost
04914840
110724447
243954295
done50014295

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ (/ y z) x))
5.9b
(/ (/ y z) x)

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
89×add-sqr-sqrt
80×add-cube-cbrt *-un-lft-identity
43×associate-*r*
16×add-exp-log add-cbrt-cube
13×associate-/l*
9×div-inv
6×cbrt-undiv div-exp
4×pow1
3×associate-*l* prod-exp associate-/r* cbrt-unprod unswap-sqr
2×expm1-log1p-u cosh-def log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 141
Calls
2 calls:
48.0ms
(* (cosh x) (/ (/ y z) x))
12.0ms
(/ (/ y z) x)

series187.0ms

Counts
2 → 6
Calls
2 calls:
148.0ms
(* (cosh x) (/ (/ y z) x))
39.0ms
(/ (/ y z) x)

simplify1.9s

Counts
147 → 147
Iterations

Useful iterations: 2 (482.0ms)

IterNodesCost
02471781
15891662
220811554
done50001554

prune557.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (sqrt (cosh x)) (/ y z))
0.0b
(/ (sqrt (cosh x)) x)
5.9b
(* (/ (sqrt (cosh x)) x) (* (sqrt (cosh x)) (/ y z)))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
47×times-frac
40×add-cube-cbrt *-un-lft-identity
31×add-exp-log add-cbrt-cube
28×associate-*l*
26×sqrt-prod
14×associate-*r*
12×prod-exp cbrt-unprod
10×pow1
7×cbrt-undiv cosh-def sqrt-div div-exp
6×frac-times associate-*r/ associate-/l*
4×pow-prod-down associate-*l/ unswap-sqr
3×expm1-log1p-u associate-/r* log1p-expm1-u div-inv add-log-exp
2×*-commutative
1×frac-2neg clear-num associate-/l/
Counts
3 → 137
Calls
3 calls:
18.0ms
(* (sqrt (cosh x)) (/ y z))
7.0ms
(/ (sqrt (cosh x)) x)
77.0ms
(* (/ (sqrt (cosh x)) x) (* (sqrt (cosh x)) (/ y z)))

series231.0ms

Calls
1 calls:
179.0ms
(* (/ (sqrt (cosh x)) x) (* (sqrt (cosh x)) (/ y z)))