Details

Time bar (total: 11.4s)

sample260.0ms

Algorithm
intervals
Results
100.0ms60×body2560valid
53.0ms67×body1280valid
42.0ms19×body320valid
19.0ms35×body640valid
10.0ms70×body80valid
6.0msbody5120valid
1.0msbody160valid

simplify3.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02327
14227
29827
322127
439127
560827
682627
798227
8107227
9121627
10122827
done122827

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.3b

localize33.0ms

Local error

Found 4 expressions with local error:

1.5b
(* (* (+ (* a 2.0) 1.0) b) t)
3.2b
(* (* (+ (* y 2.0) 1.0) z) t)
32.5b
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
35.2b
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
associate-*l/
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
add-log-exp
flip3-+ associate-*l* *-commutative flip-+
Counts
4 → 54
Calls
4 calls:
83.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
56.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
9.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
8.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series266.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
77.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
71.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
58.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify1.3s

Counts
66 → 66
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0138888
1365878
21549714
done5000706

prune656.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 39.7b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (* y 2.0) 1.0) z)
0.1b
(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
3.2b
(* (* (+ (* y 2.0) 1.0) z) t)
35.2b
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
add-cube-cbrt *-un-lft-identity associate-*r*
associate-*l*
associate-*l/
pow-prod-down prod-exp cbrt-unprod
add-log-exp
*-commutative
flip3-+ flip-+ unswap-sqr
Counts
4 → 65
Calls
4 calls:
46.0ms
(* (+ (* y 2.0) 1.0) z)
8.0ms
(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
73.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
9.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series277.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (+ (* y 2.0) 1.0) z)
89.0ms
(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
64.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
68.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify2.9s

Counts
77 → 77
Iterations

Useful iterations: 2 (250.0ms)

IterNodesCost
01181057
12811046
21065870
34303870
done5000870

prune342.0ms

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 38.2b

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune120.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 38.2b

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (cos (/ (pow (* (* z t) (+ (* y 2.0) 1.0)) 1) 16.0)))
2.4b
(* (* z t) (+ (* y 2.0) 1.0))
35.2b
(cos (/ (pow (* (* z t) (+ (* y 2.0) 1.0)) 1) 16.0))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity associate-*r*
associate-*l* pow-prod-down prod-exp cbrt-unprod
add-log-exp
associate-*r/ *-commutative
distribute-rgt-in distribute-lft-in flip3-+ flip-+ unswap-sqr
Counts
3 → 47
Calls
3 calls:
8.0ms
(* x (cos (/ (pow (* (* z t) (+ (* y 2.0) 1.0)) 1) 16.0)))
38.0ms
(* (* z t) (+ (* y 2.0) 1.0))
6.0ms
(cos (/ (pow (* (* z t) (+ (* y 2.0) 1.0)) 1) 16.0))

series424.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(* x (cos (/ (pow (* (* z t) (+ (* y 2.0) 1.0)) 1) 16.0)))
317.0ms
(* (* z t) (+ (* y 2.0) 1.0))
30.0ms
(cos (/ (pow (* (* z t) (+ (* y 2.0) 1.0)) 1) 16.0))

simplify1.2s

Counts
56 → 56
Iterations

Useful iterations: 2 (162.0ms)

IterNodesCost
0102918
1278836
21153702
done5001702

prune164.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 37.9b

regimes22.0ms