Details

Time bar (total: 15.1s)

sample43.0ms

Algorithm
intervals
Results
21.0ms274×body80valid
0.0ms1×body640valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 3 (19.0ms)

IterNodesCost
01011
11711
23211
36010
411110
515610
620610
725110
830110
938610
1048410
1155210
1261610
1364410
done64410

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
2.5b
(fma (/ y (- a t)) (- z t) x)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 49
Calls
2 calls:
12.0ms
(/ y (- a t))
0.0ms
(fma (/ y (- a t)) (- z t) x)

series301.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ y (- a t))
268.0ms
(fma (/ y (- a t)) (- z t) x)

simplify1.9s

Counts
55 → 55
Iterations

Useful iterations: 4 (749.0ms)

IterNodesCost
092550
1167533
2348493
3761491
42276490
done5000490

prune224.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) y)
0.7b
(/ 1 (/ (- a t) y))
2.5b
(fma (/ 1 (/ (- a t) y)) (- z t) x)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
101×add-sqr-sqrt *-un-lft-identity
69×add-cube-cbrt
22×associate-/r*
16×add-exp-log distribute-lft-out-- difference-of-squares
10×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×flip3-- pow-flip div-sub associate-/r/ flip-- fma-udef inv-pow
Counts
3 → 152
Calls
3 calls:
18.0ms
(/ (- a t) y)
27.0ms
(/ 1 (/ (- a t) y))
1.0ms
(fma (/ 1 (/ (- a t) y)) (- z t) x)

series406.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (- a t) y)
105.0ms
(/ 1 (/ (- a t) y))
265.0ms
(fma (/ 1 (/ (- a t) y)) (- z t) x)

simplify2.9s

Counts
161 → 161
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
02102150
14461825
28771580
321541548
done50011548

prune448.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* (/ 1 (- a t)) y)
2.5b
(fma (* (/ 1 (- a t)) y) (- z t) x)

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
38×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*l*
16×add-exp-log
10×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-/r*
4×div-exp prod-exp associate-/r/
3×expm1-log1p-u associate-*r* log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv rec-exp flip3-- 1-exp flip-- cbrt-unprod div-inv
1×pow-flip frac-2neg pow-prod-down associate-*l/ clear-num *-commutative fma-udef inv-pow
Counts
3 → 98
Calls
3 calls:
26.0ms
(/ 1 (- a t))
61.0ms
(* (/ 1 (- a t)) y)
1.0ms
(fma (* (/ 1 (- a t)) y) (- z t) x)

series462.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(/ 1 (- a t))
80.0ms
(* (/ 1 (- a t)) y)
310.0ms
(fma (* (/ 1 (- a t)) y) (- z t) x)

simplify2.8s

Counts
107 → 107
Iterations

Useful iterations: 4 (1.5s)

IterNodesCost
01371037
1286841
2592759
31270757
43372756
done5000756

prune345.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (- z t) (/ (- a t) y)) x)
0.0b
(/ (- a t) y)
9.6b
(/ (- z t) (/ (- a t) y))

rewrite310.0ms

Algorithm
rewrite-expression-head
Rules
370×times-frac
306×*-un-lft-identity
304×add-sqr-sqrt
152×add-cube-cbrt
100×fma-def
76×distribute-lft-out-- difference-of-squares
22×associate-/r*
14×div-inv
10×add-exp-log add-cbrt-cube associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 expm1-log1p-u div-sub log1p-expm1-u
2×flip3-- frac-2neg clear-num associate-/r/ flip--
1×+-commutative associate-+l- flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 294
Calls
3 calls:
173.0ms
(+ (/ (- z t) (/ (- a t) y)) x)
44.0ms
(/ (- a t) y)
55.0ms
(/ (- z t) (/ (- a t) y))

series338.0ms

Counts
3 → 9
Calls
3 calls:
129.0ms
(+ (/ (- z t) (/ (- a t) y)) x)
38.0ms
(/ (- a t) y)
172.0ms
(/ (- z t) (/ (- a t) y))

simplify1.9s

Counts
303 → 303
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02793442
17713226
225123107
done50003105

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes2.0ms