Details

sample30.0ms

Algorithm

intervals

Results

9.0ms	257×	body	80	valid
7.0ms	271×	body	80	nan

simplify13.6s

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	484	12
5	869	12
6	1416	12
7	1997	12
8	2172	12
9	2274	12
10	2558	12
11	2650	12
12	2747	12
13	2888	12
14	3034	12
15	3038	12
done	3038	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

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)
0.2b	(* (+ y 0.5) (log y))

rewrite80.0ms

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)))
55.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
10.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
10.0ms	(* (+ y 0.5) (log y))

series372.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- x (* (+ y 0.5) (log y)))
50.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
44.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
237.0ms	(* (+ y 0.5) (log y))

simplify595.0ms

Counts

93 → 93

Iterations

Useful iterations: done (593.0ms)

Iter	Nodes	Cost
0	172	1294
1	439	1175
2	1336	1094
done	5000	1063

prune233.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- x 0) (* (log y) (+ y 0.5)))
0.0b	(- (+ (- (- x 0) (* (log y) (+ y 0.5))) y) z)
0.1b	(+ (- (- x 0) (* (log y) (+ y 0.5))) y)
0.2b	(* (log y) (+ y 0.5))

rewrite415.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

18.0ms	(- (- x 0) (* (log y) (+ y 0.5)))
324.0ms	(- (+ (- (- x 0) (* (log y) (+ y 0.5))) y) z)
58.0ms	(+ (- (- x 0) (* (log y) (+ y 0.5))) y)
12.0ms	(* (log y) (+ y 0.5))

series387.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (- x 0) (* (log y) (+ y 0.5)))
51.0ms	(- (+ (- (- x 0) (* (log y) (+ y 0.5))) y) z)
49.0ms	(+ (- (- x 0) (* (log y) (+ y 0.5))) y)
245.0ms	(* (log y) (+ y 0.5))

simplify828.0ms

Counts

97 → 97

Iterations

Useful iterations: 2 (271.0ms)

Iter	Nodes	Cost
0	196	1597
1	543	1274
2	1807	1197
done	5001	1197

prune255.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

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:

12.0ms	(* (+ 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:

439.0ms	(* (+ y 0.5) (log (cbrt y)))
796.0ms	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
185.0ms	(cbrt y)
187.0ms	(cbrt y)

simplify908.0ms

Counts

98 → 98

Iterations

Useful iterations: 2 (211.0ms)

Iter	Nodes	Cost
0	167	1466
1	474	1335
2	1794	1088
done	5000	1088

prune362.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (- (log y)) -1/3) (+ y 0.5))
0.2b	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (* (- (log y)) -1/3) (+ y 0.5)))
0.4b	(* (- (log y)) -1/3)
0.6b	(cbrt y)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

14.0ms	(* (* (- (log y)) -1/3) (+ y 0.5))
12.0ms	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (* (- (log y)) -1/3) (+ y 0.5)))
6.0ms	(* (- (log y)) -1/3)
1.0ms	(cbrt y)

series2.0s

Counts

4 → 12

Calls

4 calls:

449.0ms	(* (* (- (log y)) -1/3) (+ y 0.5))
1.3s	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (* (- (log y)) -1/3) (+ y 0.5)))
143.0ms	(* (- (log y)) -1/3)
193.0ms	(cbrt y)

simplify1.2s

Counts

97 → 97

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	200	1418
1	586	1269
2	2509	1053
done	5000	990

prune331.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes128.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	15	12
done	15	12

end0.0ms

sample843.0ms

Algorithm

intervals

Results

278.0ms	8028×	body	80	valid
232.0ms	8221×	body	80	nan
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid