Details

sample34.0ms

Algorithm

intervals

Results

11.0ms	237×	body	80	nan
9.0ms	257×	body	80	valid
0.0ms	1×	body	320	valid

simplify34.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	12
1	21	12
2	60	12
3	163	12
4	491	12
5	993	12
6	1564	12
7	2390	12
8	2816	12
9	3313	12
10	3819	12
11	3920	12
12	4040	12
13	4185	12
14	4339	12
15	4343	12
done	4343	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (+ y 0.5) (log y)))
0.0b	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.1b	(* (+ y 0.5) (log y))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

3.0ms	(- x (* (+ y 0.5) (log y)))
53.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
8.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
11.0ms	(* (+ y 0.5) (log y))

series370.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- x (* (+ y 0.5) (log y)))
53.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
42.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
237.0ms	(* (+ y 0.5) (log y))

simplify528.0ms

Counts

93 → 93

Iterations

Useful iterations: done (526.0ms)

Iter	Nodes	Cost
0	172	1294
1	452	1175
2	1472	1094
done	5002	1063

prune224.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ y 0.5) (log (cbrt y)))
0.3b	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
18×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cube-cbrt`
13×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `flip3-+` `associate-*l/` `add-cbrt-cube` `flip-+` `add-log-exp`
5×	`associate-r`
4×	`associate-r/` `associate-l*` `frac-add`
3×	`pow1/3`
2×	`associate-+l+` `log-pow`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

13.0ms	(* (+ y 0.5) (log (cbrt y)))
12.0ms	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.6s

Counts

4 → 12

Calls

4 calls:

436.0ms	(* (+ y 0.5) (log (cbrt y)))
777.0ms	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
180.0ms	(cbrt y)
177.0ms	(cbrt y)

simplify731.0ms

Counts

98 → 98

Iterations

Useful iterations: 2 (162.0ms)

Iter	Nodes	Cost
0	167	1466
1	476	1335
2	1972	1088
done	5001	1088

prune356.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ y 0.5) 1/3)
0.3b	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (* (+ y 0.5) 1/3) (log y)))
0.3b	(* (* (+ y 0.5) 1/3) (log y))
0.6b	(cbrt y)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `-un-lft-identity` `associate-l/`
12×	`pow1` `add-cube-cbrt` `log-prod`
11×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-r` `flip-+`
6×	`associate-+r+` `add-log-exp`
5×	`associate-l`
4×	`associate-*r/` `pow-prod-down` `frac-add` `prod-exp` `cbrt-unprod`
3×	`cbrt-prod`
2×	`associate-+l+` `*-commutative`
1×	`+-commutative` `pow1/3` `sum-log` `log-pow` `distribute-lft-out` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

12.0ms	(* (+ y 0.5) 1/3)
12.0ms	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (* (+ y 0.5) 1/3) (log y)))
14.0ms	(* (* (+ y 0.5) 1/3) (log y))
1.0ms	(cbrt y)

series1.8s

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (+ y 0.5) 1/3)
1.2s	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (* (+ y 0.5) 1/3) (log y)))
280.0ms	(* (* (+ y 0.5) 1/3) (log y))
189.0ms	(cbrt y)

simplify41.0ms

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	200	1486