Details

sample24.0ms

Algorithm

intervals

Results

12.0ms

282×

body

valid

simplify348.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	10	11
1	20	9
2	46	9
3	88	9
4	138	9
5	186	9
6	224	9
7	239	9
8	242	9
done	242	9

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.8b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(* z (- y t))
5.8b	(/ (* x 2.0) (* z (- y t)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `prod-diff`
16×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r` `prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `associate-*r/` `div-exp`
3×	`associate-l`
2×	`expm1-log1p-u` `sub-neg` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`frac-2neg` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 71

Calls

2 calls:

24.0ms	(* z (- y t))
20.0ms	(/ (* x 2.0) (* z (- y t)))

series121.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(* z (- y t))
65.0ms	(/ (* x 2.0) (* z (- y t)))

simplify998.0ms

Counts

77 → 77

Iterations

Useful iterations: done (993.0ms)

Iter	Nodes	Cost
0	145	1080
1	324	905
2	1205	699
done	5000	675

prune216.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (- y t))
0.4b	(/ 1 (* z (- y t)))
5.7b	(* (* x 2.0) (/ 1 (* z (- y t))))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-exp-log`
31×	`prod-exp` `add-cbrt-cube`
25×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
14×	`associate-r`
13×	`pow1` `cbrt-unprod`
12×	`div-exp`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`associate-*r/`
6×	`cbrt-undiv` `rec-exp` `times-frac` `1-exp`
5×	`pow-prod-down`
4×	`associate-l` `associate-/r/`
3×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`sub-neg` `pow-flip` `*-commutative` `div-inv`
1×	`frac-2neg` `clear-num` `associate-/r*` `un-div-inv` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

3 → 122

Calls

3 calls:

37.0ms	(* z (- y t))
24.0ms	(/ 1 (* z (- y t)))
80.0ms	(* (* x 2.0) (/ 1 (* z (- y t))))

series153.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(* z (- y t))
33.0ms	(/ 1 (* z (- y t)))
65.0ms	(* (* x 2.0) (/ 1 (* z (- y t))))

simplify2.7s

Counts

131 → 131

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	193	1709
1	421	1384
2	1319	1086
done	5000	1062

prune264.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- y t))
0.3b	(* (/ 1 z) (/ 1 (- y t)))
5.7b	(* (* x 2.0) (* (/ 1 z) (/ 1 (- y t))))

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

180×	`add-exp-log`
99×	`prod-exp`
67×	`add-sqr-sqrt`
58×	`add-cbrt-cube`
51×	`times-frac`
50×	`div-exp`
49×	`*-un-lft-identity`
29×	`add-cube-cbrt`
27×	`cbrt-unprod`
25×	`rec-exp` `1-exp`
22×	`associate-r`
20×	`pow1`
14×	`associate-l`
13×	`cbrt-undiv`
11×	`pow-prod-down`
9×	`unswap-sqr`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-*r/`
5×	`associate-/r*`
4×	`associate-/r/`
3×	`expm1-log1p-u` `pow-flip` `log1p-expm1-u` `div-inv` `associate-/l*` `inv-pow` `add-log-exp`
2×	`frac-times` `flip3--` `associate-l/` `un-div-inv` `-commutative` `flip--`
1×	`frac-2neg` `clear-num`

Counts

3 → 187

Calls

3 calls:

16.0ms	(/ 1 (- y t))
88.0ms	(* (/ 1 z) (/ 1 (- y t)))
89.0ms	(* (* x 2.0) (* (/ 1 z) (/ 1 (- y t))))

series165.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(/ 1 (- y t))
42.0ms	(* (/ 1 z) (/ 1 (- y t)))
59.0ms	(* (* x 2.0) (* (/ 1 z) (/ 1 (- y t))))

simplify2.9s

Counts

196 → 196

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	235	2682
1	579	2139
2	1716	1645
done	5000	1628

prune472.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* z (- y t))
5.8b	(/ (* x 2.0) (* z (- y t)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `prod-diff`
16×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r` `prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `associate-*r/` `div-exp`
3×	`associate-l`
2×	`expm1-log1p-u` `sub-neg` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`frac-2neg` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 71

Calls

2 calls:

47.0ms	(* z (- y t))
28.0ms	(/ (* x 2.0) (* z (- y t)))

series118.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(* z (- y t))
70.0ms	(/ (* x 2.0) (* z (- y t)))

simplify1.1s

Counts

77 → 77

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	145	1080
1	324	905
2	1205	699
done	5000	675

prune155.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

Details

sample24.0ms

simplify348.0ms

prune8.0ms

localize14.0ms

rewrite47.0ms

series121.0ms

simplify998.0ms

prune216.0ms

localize20.0ms

rewrite146.0ms

series153.0ms

simplify2.7s

prune264.0ms

localize11.0ms

rewrite203.0ms

series165.0ms

simplify2.9s

prune472.0ms

localize11.0ms

rewrite81.0ms

series118.0ms

simplify1.1s

prune155.0ms

regimes1.0ms