Details

Time bar (total: 19.5s)

sample77.0ms

Algorithm
intervals
Results
45.0ms750×body80valid

simplify8.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1188
2418
31028
42208
53688
65748
711868
834108
done50008

prune4.0ms

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)

rewrite75.0ms

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
cbrt-undiv div-exp
pow1 cosh-def prod-exp cbrt-unprod
associate-*l* associate-/r* associate-/l/
frac-times associate-*r/ associate-*l/ div-inv add-log-exp unswap-sqr
frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
2 → 60
Calls
2 calls:
41.0ms
(* (cosh x) (/ y x))
29.0ms
(/ (* (cosh x) (/ y x)) z)

series326.0ms

Counts
2 → 6
Calls
2 calls:
130.0ms
(* (cosh x) (/ y x))
196.0ms
(/ (* (cosh x) (/ y x)) z)

simplify2.1s

Counts
66 → 66
Iterations

Useful iterations: 2 (257.0ms)

IterNodesCost
0137707
1331670
21289570
done5000570

prune248.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 1/2 (/ (* x y) z))
5.4b
(/ (* x y) z)
7.6b
(/ y (* x z))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log add-cbrt-cube
12×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
times-frac
associate-*r*
cbrt-undiv div-exp prod-exp cbrt-unprod
pow1
associate-/r* associate-/l*
associate-*l* div-inv add-log-exp
frac-2neg clear-num
associate-*r/ pow-prod-down *-commutative unswap-sqr
Counts
3 → 69
Calls
3 calls:
30.0ms
(* 1/2 (/ (* x y) z))
11.0ms
(/ (* x y) z)
9.0ms
(/ y (* x z))

series92.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(* 1/2 (/ (* x y) z))
23.0ms
(/ (* x y) z)
37.0ms
(/ y (* x z))

simplify3.9s

Counts
78 → 78
Iterations

Useful iterations: 3 (2.2s)

IterNodesCost
0111675
1273641
2976539
34872538
done5000538

prune193.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 1/2 (/ (* x y) z))
5.4b
(/ (* x y) z)
6.0b
(* (/ 1 x) (/ y z))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
39×add-exp-log
31×times-frac
29×add-cbrt-cube
24×*-un-lft-identity
22×add-cube-cbrt
20×associate-*r*
16×associate-*l*
13×prod-exp
12×div-exp
cbrt-unprod
cbrt-undiv
pow1 unswap-sqr
div-inv
associate-/r* add-log-exp
rec-exp 1-exp associate-*r/ pow-prod-down *-commutative
frac-times frac-2neg associate-*l/ clear-num associate-/l*
Counts
3 → 104
Calls
3 calls:
31.0ms
(* 1/2 (/ (* x y) z))
11.0ms
(/ (* x y) z)
31.0ms
(* (/ 1 x) (/ y z))

series101.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(* 1/2 (/ (* x y) z))
32.0ms
(/ (* x y) z)
22.0ms
(* (/ 1 x) (/ y z))

simplify2.0s

Counts
113 → 113
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01771123
1473982
21569810
done5000809

prune289.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 1/2 (/ (* x y) z))
5.4b
(/ (* x y) z)
5.9b
(/ (/ y z) x)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
81×times-frac
52×add-sqr-sqrt
50×add-cube-cbrt *-un-lft-identity
22×add-exp-log add-cbrt-cube
14×associate-/l*
cbrt-undiv div-exp associate-*r* div-inv
associate-/r*
pow1 prod-exp cbrt-unprod
associate-*l* add-log-exp
frac-2neg clear-num
associate-*r/ pow-prod-down *-commutative associate-/l/ unswap-sqr
Counts
3 → 118
Calls
3 calls:
26.0ms
(* 1/2 (/ (* x y) z))
11.0ms
(/ (* x y) z)
15.0ms
(/ (/ y z) x)

series101.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(* 1/2 (/ (* x y) z))
36.0ms
(/ (* x y) z)
28.0ms
(/ (/ y z) x)

simplify1.5s

Counts
127 → 127
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02081352
14891270
213991168
done50001167

prune389.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes2.0ms