Details

sample198.0ms

Algorithm

intervals

Results

86.0ms	1964×	body	80	nan
15.0ms	259×	body	80	valid

simplify4.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	59	16
3	147	16
4	326	16
5	681	16
6	1213	16
7	1750	16
8	2073	16
9	2076	16
done	2076	16

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (- a 0.5) (log t))
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.5b	(+ (log (+ x y)) (log z))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

19×	`log-prod` `*-un-lft-identity`
15×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
10×	`pow1` `add-log-exp`
9×	`associate-+r+`
7×	`associate-+l+`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/`
5×	`add-exp-log` `flip3--` `associate-l` `sum-log` `log-pow` `add-cbrt-cube` `flip--` `distribute-lft-out`
4×	`associate-r` `frac-add`
3×	`associate-+l-` `flip3-+` `flip-+`
2×	`+-commutative` `log-div` `diff-log`
1×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 80

Calls

3 calls:

24.0ms	(* (- a 0.5) (log t))
184.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
12.0ms	(+ (log (+ x y)) (log z))

series334.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(* (- a 0.5) (log t))
204.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
71.0ms	(+ (log (+ x y)) (log z))

simplify826.0ms

Counts

89 → 89

Iterations

Useful iterations: done (824.0ms)

Iter	Nodes	Cost
0	224	1499
1	585	1424
2	2051	1323
done	5001	1321

prune312.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- a 0.5) (log t))
0.1b	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
0.4b	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
0.4b	(+ (log (+ x y)) (log (sqrt z)))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
28×	`log-prod`
24×	`pow1`
23×	`distribute-lft-out`
19×	`add-sqr-sqrt`
18×	`associate-+r+` `log-pow`
15×	`add-cube-cbrt` `add-log-exp`
11×	`sum-log`
8×	`associate-+l+`
7×	`associate-+l-`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `associate-*l/` `sqrt-prod` `add-cbrt-cube`
5×	`flip3--` `flip3-+` `associate-l` `flip--` `flip-+`
4×	`log-div` `associate-r` `frac-add`
3×	`+-commutative` `diff-log`
1×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 115

Calls

4 calls:

23.0ms	(* (- a 0.5) (log t))
972.0ms	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
53.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
17.0ms	(+ (log (+ x y)) (log (sqrt z)))

series652.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (- a 0.5) (log t))
287.0ms	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
163.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
141.0ms	(+ (log (+ x y)) (log (sqrt z)))

simplify1.0s

Counts

127 → 127

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	280	2418
1	759	2160
2	2609	1959
done	5000	1950

prune446.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (cbrt (pow (+ (log (+ x y)) (* 2 (log (sqrt z)))) 3)) t) (* (- a 0.5) (log t)))
0.5b	(cbrt (pow (+ (log (+ x y)) (* 2 (log (sqrt z)))) 3))
0.5b	(+ (log (+ x y)) (* 2 (log (sqrt z))))
0.7b	(pow (+ (log (+ x y)) (* 2 (log (sqrt z)))) 3)

rewrite311.0ms

Algorithm

rewrite-expression-head

Rules

22×	`log-prod`
19×	`*-un-lft-identity`
18×	`associate-+r+`
17×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`cbrt-prod`
10×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in`
6×	`unpow-prod-down` `associate-+l+` `cube-prod` `sqrt-prod`
5×	`pow1` `add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
4×	`cube-div` `flip3--` `associate-*l/` `frac-add` `flip--`
3×	`associate-+l-` `pow-unpow` `sum-log`
2×	`+-commutative` `cube-mult` `log-div` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `pow-exp` `rem-cbrt-cube` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 102

Calls

4 calls:

277.0ms	(+ (- (cbrt (pow (+ (log (+ x y)) (* 2 (log (sqrt z)))) 3)) t) (* (- a 0.5) (log t)))
8.0ms	(cbrt (pow (+ (log (+ x y)) (* 2 (log (sqrt z)))) 3))
13.0ms	(+ (log (+ x y)) (* 2 (log (sqrt z))))
10.0ms	(pow (+ (log (+ x y)) (* 2 (log (sqrt z)))) 3)

series1.1s

Counts

4 → 12

Calls

4 calls:

295.0ms	(+ (- (cbrt (pow (+ (log (+ x y)) (* 2 (log (sqrt z)))) 3)) t) (* (- a 0.5) (log t)))
164.0ms	(cbrt (pow (+ (log (+ x y)) (* 2 (log (sqrt z)))) 3))
166.0ms	(+ (log (+ x y)) (* 2 (log (sqrt z))))
519.0ms	(pow (+ (log (+ x y)) (* 2 (log (sqrt z)))) 3)

simplify1.9s

Counts

114 → 114

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	486	3463
1	1404	3021
2	4840	2713
done	5001	2695

prune545.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (+ (- (+ (log (+ x y)) (* 2 (log (sqrt z)))) t) (* (- a 0.5) (* 2 (log (cbrt t))))) (* (- a 0.5) (log (cbrt t))))
0.5b	(+ (log (+ x y)) (* 2 (log (sqrt z))))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite526.0ms

Algorithm

rewrite-expression-head

Rules

28×	`log-prod`
24×	`associate-+r+`
20×	`associate-*l/` `frac-add`
18×	`add-log-exp`
17×	`*-un-lft-identity`
15×	`add-sqr-sqrt` `add-cube-cbrt`
14×	`flip3--` `flip--`
12×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in`
9×	`sum-log`
6×	`sqrt-prod`
5×	`associate-+l+` `flip3-+` `flip-+`
4×	`pow1` `add-exp-log` `associate-+l-` `add-cbrt-cube`
2×	`+-commutative` `log-div` `pow1/3` `diff-log`
1×	`distribute-lft-out`

Counts

4 → 91

Calls

4 calls:

507.0ms	(+ (+ (- (+ (log (+ x y)) (* 2 (log (sqrt z)))) t) (* (- a 0.5) (* 2 (log (cbrt t))))) (* (- a 0.5) (log (cbrt t))))
13.0ms	(+ (log (+ x y)) (* 2 (log (sqrt z))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.1s

Counts

4 → 12

Calls

4 calls:

461.0ms	(+ (+ (- (+ (log (+ x y)) (* 2 (log (sqrt z)))) t) (* (- a 0.5) (* 2 (log (cbrt t))))) (* (- a 0.5) (log (cbrt t))))
307.0ms	(+ (log (+ x y)) (* 2 (log (sqrt z))))
192.0ms	(cbrt t)
181.0ms	(cbrt t)

simplify1.7s

Counts

103 → 103

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	324	3706
1	1056	3444
2	4500	3211
done	5000	3171

prune511.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes393.0ms

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	22
1	26	22
done	26	22

end0.0ms

sample1.6s

Algorithm

intervals

Results

721.0ms	16416×	body	80	nan
124.0ms	2246×	body	80	valid