Details

Time bar (total: 3.4s)

sample156.0ms

Algorithm
intervals
Results
61.0ms52×body2560valid
42.0ms74×body1280valid
14.0ms37×body640valid
8.0msbody5120valid
5.0ms21×body320valid
5.0ms63×body80valid
1.0msbody160valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02327
14227
29627
319927
435227
553927
673727
797027
8107227
9112227
10112627
done112627

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.7b

localize23.0ms

Local error

Found 4 expressions with local error:

1.4b
(* (* (+ (* y 2.0) 1.0) z) t)
2.0b
(* (* (+ (* a 2.0) 1.0) b) t)
31.5b
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
36.4b
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite37.0ms

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:
18.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
15.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
1.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
2.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series151.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
44.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
34.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
34.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify558.0ms

Counts
66 → 66
Iterations

Useful iterations: 2 (123.0ms)

IterNodesCost
0138888
1379878
21568714
done5000714

prune303.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 41.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (* a 2.0) 1.0) b)
0.1b
(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
2.0b
(* (* (+ (* a 2.0) 1.0) b) t)
31.5b
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
10×add-sqr-sqrt
associate-*r*
add-cube-cbrt *-un-lft-identity
pow-prod-down prod-exp cbrt-unprod
associate-*l/
associate-*l*
add-log-exp
*-commutative
flip3-+ flip-+
unswap-sqr
Counts
4 → 65
Calls
4 calls:
13.0ms
(* (+ (* a 2.0) 1.0) b)
6.0ms
(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
15.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
2.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series179.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (+ (* a 2.0) 1.0) b)
68.0ms
(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
39.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
32.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify542.0ms

Iterations

Useful iterations: 2 (102.0ms)

IterNodesCost
01271188
13281103
21347895