Details

sample48.0ms

Algorithm

intervals

Results

24.0ms

341×

body

valid

simplify107.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	8	9
1	15	7
2	34	7
3	71	7
4	97	7
5	103	7
done	103	7

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.4b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- x z))
6.1b	(* (* y (- x z)) t)

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
8×	`associate-r`
7×	`*-un-lft-identity`
5×	`add-cube-cbrt`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `associate-l/` `-commutative` `flip--` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 46

Calls

2 calls:

24.0ms	(* y (- x z))
50.0ms	(* (* y (- x z)) t)

series109.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* y (- x z))
59.0ms	(* (* y (- x z)) t)

simplify3.1s

Counts

52 → 52

Iterations

Useful iterations: 2 (139.0ms)

Iter	Nodes	Cost
0	81	452
1	192	428
2	681	366
3	3642	366
done	5000	366

prune134.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x z) t)
5.3b	(* y (* (- x z) t))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
8×	`associate-l`
7×	`*-un-lft-identity`
5×	`add-cube-cbrt`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
2×	`flip3--` `associate-r/` `-commutative` `flip--` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 42

Calls

2 calls:

22.0ms	(* (- x z) t)
48.0ms	(* y (* (- x z) t))

series104.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* (- x z) t)
70.0ms	(* y (* (- x z) t))

simplify2.8s

Counts

48 → 48

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	77	417
1	182	403
2	680	337
3	3374	337
done	5002	337

prune142.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
2.5b	(* (cbrt y) (* (- x z) t))
3.0b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t)))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1` `add-exp-log`
18×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
6×	`associate-*r/`
4×	`associate-*l/` `add-log-exp`
2×	`flip3--` `pow1/3` `associate-r` `*-commutative` `flip--`

Counts

4 → 75

Calls

4 calls:

2.0ms	(cbrt y)
2.0ms	(cbrt y)
56.0ms	(* (cbrt y) (* (- x z) t))
123.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t)))

series890.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(cbrt y)
256.0ms	(cbrt y)
286.0ms	(* (cbrt y) (* (- x z) t))
127.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t)))

simplify1.3s

Counts

87 → 87

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	113	1029
1	299	986
2	1194	693
done	5001	589

prune335.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt y))
0.6b	(cbrt (cbrt y))
2.5b	(* (cbrt y) (* (- x z) t))
3.0b	(* (* (cbrt y) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)))) (* (cbrt y) (* (- x z) t)))

rewrite690.0ms

Algorithm

rewrite-expression-head

Rules

63×	`pow1` `add-exp-log`
45×	`pow-prod-down` `prod-exp` `cbrt-unprod`
32×	`add-cbrt-cube`
21×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
6×	`associate-*r/`
4×	`associate-*l/` `add-log-exp`
2×	`flip3--` `pow1/3` `associate-r` `*-commutative` `flip--`

Counts

4 → 99

Calls

4 calls:

3.0ms	(cbrt (cbrt y))
3.0ms	(cbrt (cbrt y))
69.0ms	(* (cbrt y) (* (- x z) t))
604.0ms	(* (* (cbrt y) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)))) (* (cbrt y) (* (- x z) t)))

series1.3s

Counts

4 → 12

Calls

4 calls:

426.0ms	(cbrt (cbrt y))
431.0ms	(cbrt (cbrt y))
304.0ms	(* (cbrt y) (* (- x z) t))
134.0ms	(* (* (cbrt y) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)))) (* (cbrt y) (* (- x z) t)))

simplify1.6s

Counts

111 → 111

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	155	2089
1	417	2017
2	1834	1234
done	5000	813

prune364.0ms

Pruning

13 alts after pruning (9 fresh and 4 done)

Merged error: 0.0b

Details

sample48.0ms

simplify107.0ms

prune10.0ms

localize18.0ms

rewrite77.0ms

series109.0ms

simplify3.1s

prune134.0ms

localize12.0ms

rewrite71.0ms

series104.0ms

simplify2.8s

prune142.0ms

localize15.0ms

rewrite189.0ms

series890.0ms

simplify1.3s

prune335.0ms

localize47.0ms

rewrite690.0ms

series1.3s

simplify1.6s

prune364.0ms

regimes403.0ms

bsearch2.0ms