Details

sample116.0ms

Algorithm

intervals

Results

48.0ms	722×	body	80	nan
15.0ms	256×	body	80	valid

simplify900.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	48	11
3	109	11
4	192	11
5	270	11
6	380	11
7	455	11
8	506	11
9	509	11
done	509	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x (log y)) y)
0.0b	(+ (- (- (* x (log y)) y) z) (log t))
0.0b	(- (- (* x (log y)) y) z)
0.3b	(* x (log y))

rewrite295.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

10.0ms	(- (* x (log y)) y)
212.0ms	(+ (- (- (* x (log y)) y) z) (log t))
56.0ms	(- (- (* x (log y)) y) z)
13.0ms	(* x (log y))

series237.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(- (* x (log y)) y)
63.0ms	(+ (- (- (* x (log y)) y) z) (log t))
52.0ms	(- (- (* x (log y)) y) z)
57.0ms	(* x (log y))

simplify2.7s

Counts

110 → 110

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	167	1160
1	373	1097
2	943	1042
3	3336	994
done	5001	994

prune398.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (- (* x (log y)) y) z) (log (sqrt t)))
0.0b	(+ (+ (- (- (* x (log y)) y) z) (log (sqrt t))) (log (sqrt t)))
0.0b	(- (- (* x (log y)) y) z)
0.3b	(* x (log y))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

158.0ms	(+ (- (- (* x (log y)) y) z) (log (sqrt t)))
864.0ms	(+ (+ (- (- (* x (log y)) y) z) (log (sqrt t))) (log (sqrt t)))
83.0ms	(- (- (* x (log y)) y) z)
18.0ms	(* x (log y))

series265.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(+ (- (- (* x (log y)) y) z) (log (sqrt t)))
90.0ms	(+ (+ (- (- (* x (log y)) y) z) (log (sqrt t))) (log (sqrt t)))
53.0ms	(- (- (* x (log y)) y) z)
50.0ms	(* x (log y))

simplify897.0ms

Counts

127 → 127

Iterations

Useful iterations: done (891.0ms)

Iter	Nodes	Cost
0	196	1720
1	445	1589
2	1248	1467
done	5000	1412

prune456.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

12.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

328.0ms	(* (cbrt y) (cbrt y))
301.0ms	(cbrt y)
211.0ms	(cbrt y)
254.0ms	(cbrt y)

simplify4.8s

Counts

85 → 85

Iterations

Useful iterations: done (4.8s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune462.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt (pow y 2/3))
6.0b	(pow y 2/3)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 54

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt (pow y 2/3))
3.0ms	(pow y 2/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

258.0ms	(cbrt y)
303.0ms	(cbrt y)
292.0ms	(cbrt (pow y 2/3))
272.0ms	(pow y 2/3)

simplify1.5s

Counts

66 → 66

Iterations

Useful iterations: 4 (680.0ms)

Iter	Nodes	Cost
0	75	385
1	140	339
2	256	307
3	576	293
4	1762	288
done	5001	288

prune408.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes490.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	16
1	15	16
done	15	16

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.1s	24082×	body	80	nan
595.0ms	8029×	body	80	valid