Details

sample34.0ms

Algorithm

intervals

Results

17.0ms

361×

body

valid

simplify4.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	26	13
2	89	13
3	277	13
4	717	13
5	1212	13
6	1404	13
7	1419	13
done	1419	13

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize31.0ms

Local error

Found 3 expressions with local error:

0.3b	(- (* x y) (* (* z 9.0) t))
0.3b	(* (* z 9.0) t)
5.9b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-r` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-l` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 54

Calls

3 calls:

8.0ms	(- (* x y) (* (* z 9.0) t))
20.0ms	(* (* z 9.0) t)
40.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series228.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(- (* x y) (* (* z 9.0) t))
33.0ms	(* (* z 9.0) t)
123.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.4s

Counts

63 → 63

Iterations

Useful iterations: 2 (272.0ms)

Iter	Nodes	Cost
0	116	858
1	324	827
2	1253	711
done	5001	711

prune271.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.7b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.2b	(* 4.5 (/ (* t z) a))
5.4b	(/ (* x y) a)
5.5b	(/ (* t z) a)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
13×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`associate-r`
6×	`pow1` `cbrt-undiv` `div-exp` `prod-exp` `associate-/r*` `cbrt-unprod` `add-log-exp`
5×	`associate-*r/`
3×	`associate-l` `div-inv`
2×	`frac-2neg` `clear-num` `associate-/l*`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `sub-div` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

21.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
22.0ms	(* 4.5 (/ (* t z) a))
16.0ms	(/ (* x y) a)
10.0ms	(/ (* t z) a)

series249.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
40.0ms	(* 4.5 (/ (* t z) a))
25.0ms	(/ (* x y) a)
27.0ms	(/ (* t z) a)

simplify1.3s

Counts

95 → 95

Iterations

Useful iterations: 2 (209.0ms)

Iter	Nodes	Cost
0	144	1055
1	375	1008
2	1413	874
done	5000	874

prune413.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.5b

localize26.0ms

Local error

Found 3 expressions with local error:

0.2b	(* z (* 9.0 t))
0.3b	(- (* x y) (* z (* 9.0 t)))
5.9b	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-l` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-r` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 54

Calls

3 calls:

34.0ms	(* z (* 9.0 t))
19.0ms	(- (* x y) (* z (* 9.0 t)))
25.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series203.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(* z (* 9.0 t))
68.0ms	(- (* x y) (* z (* 9.0 t)))
108.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify1.4s

Counts

63 → 63

Iterations

Useful iterations: 2 (224.0ms)

Iter	Nodes	Cost
0	114	855
1	316	826
2	1232	710
done	5000	710

prune286.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.5b

localize26.0ms

Local error

Found 3 expressions with local error:

0.2b	(* z (* 9.0 t))
0.3b	(- (* x y) (* z (* 9.0 t)))
5.9b	(* (- (* x y) (* z (* 9.0 t))) (/ 1 (* a 2.0)))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
17×	`add-cbrt-cube`
13×	`prod-exp`
10×	`pow1`
9×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-cube-cbrt` `*-un-lft-identity` `cbrt-unprod`
6×	`associate-l`
5×	`add-log-exp`
4×	`div-exp` `pow-prod-down`
3×	`flip3--` `times-frac` `flip--`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-l/` `-commutative`
1×	`sub-neg` `diff-log` `associate-*r/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

3 → 66

Calls

3 calls:

35.0ms	(* z (* 9.0 t))
19.0ms	(- (* x y) (* z (* 9.0 t)))
109.0ms	(* (- (* x y) (* z (* 9.0 t))) (/ 1 (* a 2.0)))

series213.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* z (* 9.0 t))
89.0ms	(- (* x y) (* z (* 9.0 t)))
96.0ms	(* (- (* x y) (* z (* 9.0 t))) (/ 1 (* a 2.0)))

simplify1.2s

Counts

75 → 75

Iterations

Useful iterations: 2 (307.0ms)

Iter	Nodes	Cost
0	142	1144
1	366	1037
2	1344	881
done	5001	881

prune294.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.5b

Details

sample34.0ms

simplify4.3s

prune5.0ms

localize31.0ms

rewrite70.0ms

series228.0ms

simplify1.4s

prune271.0ms

localize29.0ms

rewrite72.0ms

series249.0ms

simplify1.3s

prune413.0ms

localize26.0ms

rewrite80.0ms

series203.0ms

simplify1.4s

prune286.0ms

localize26.0ms

rewrite167.0ms

series213.0ms

simplify1.2s

prune294.0ms

regimes6.0ms