Details

Time bar (total: 14.4s)

sample40.0ms

Algorithm
intervals
Results
20.0ms351×body80valid

simplify713.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1159
2269
3469
4859
51149
61299
71429
81759
92329
102619
112989
123299
133399
done3399

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
8.5b
(/ (* y (- z t)) a)

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
19.0ms
(+ x (/ (* y (- z t)) a))
41.0ms
(* y (- z t))
34.0ms
(/ (* y (- z t)) a)

series209.0ms

Counts
3 → 9
Calls
3 calls:
98.0ms
(+ x (/ (* y (- z t)) a))
42.0ms
(* y (- z t))
70.0ms
(/ (* y (- z t)) a)

simplify3.0s

Counts
70 → 70
Iterations

Useful iterations: 2 (164.0ms)

IterNodesCost
0116722
1297679
2909589
34421589
done5001589

prune233.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
6.2b
(/ y (/ a (- z t)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
105×*-un-lft-identity
103×add-sqr-sqrt
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip-- add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 151
Calls
3 calls:
42.0ms
(+ x (/ y (/ a (- z t))))
12.0ms
(/ a (- z t))
25.0ms
(/ y (/ a (- z t)))

series220.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(+ x (/ y (/ a (- z t))))
58.0ms
(/ a (- z t))
91.0ms
(/ y (/ a (- z t)))

simplify1.5s

Counts
160 → 160
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02452291
15342136
217992056
done50002026

prune607.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y a) (- z t)))
6.4b
(* (/ y a) (- z t))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
2×frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
8.0ms
(+ x (* (/ y a) (- z t)))
65.0ms
(* (/ y a) (- z t))

series147.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(+ x (* (/ y a) (- z t)))
73.0ms
(* (/ y a) (- z t))

simplify3.8s

Counts
63 → 63
Iterations

Useful iterations: 2 (244.0ms)

IterNodesCost
0123723
1321691
21033619
34023619
done5000619

prune190.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z t) a)))
0.0b
(/ (- z t) a)
5.9b
(* y (/ (- z t) a))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls
3 calls:
14.0ms
(+ x (* y (/ (- z t) a)))
32.0ms
(/ (- z t) a)
55.0ms
(* y (/ (- z t) a))

series209.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(+ x (* y (/ (- z t) a)))
40.0ms
(/ (- z t) a)
87.0ms
(* y (/ (- z t) a))

simplify2.8s

Counts
96 → 96
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
01391051
1341980
2991914
33797890
done5000890

prune374.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes3.0ms