Details

sample110.0ms

Algorithm

intervals

Results

50.0ms	808×	body	80	nan
16.0ms	257×	body	80	valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	304
1	20	304
2	48	304
3	114	304
4	480	304
5	2128	304
done	5000	304

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite258.0ms

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-cbrt-cube` `add-exp-log`
5×	`sub-neg`
4×	`associate-r` `distribute-lft-out`
3×	`associate-+r+` `sum-log` `associate-l` `log-pow` `distribute-lft-out--`
2×	`flip3--` `flip--`
1×	`associate--l-` `+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

44.0ms	(- (- (* x (log y)) y) z)
181.0ms	(+ (- (- (* x (log y)) y) z) (log t))
14.0ms	(- (* x (log y)) y)
15.0ms	(* x (log y))

series251.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (- (* x (log y)) y) z)
68.0ms	(+ (- (- (* x (log y)) y) z) (log t))
74.0ms	(- (* x (log y)) y)
68.0ms	(* x (log y))

simplify1.7s

Counts

110 → 110

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	167	29786
1	391	28026
2	1466	27473
done	5001	26713

prune819.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite774.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
24×	`log-prod`
20×	`pow1`
18×	`distribute-lft-out`
16×	`add-sqr-sqrt` `log-pow`
14×	`add-cube-cbrt`
11×	`add-log-exp`
9×	`sqrt-prod`
8×	`add-exp-log`
7×	`sum-log`
6×	`associate-+r+` `add-cbrt-cube`
4×	`associate-r` `distribute-lft-out--`
3×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `associate-l`
2×	`sqrt-pow1` `pow1/2` `rem-log-exp` `associate-+l-`
1×	`+-commutative` `associate-+l+` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

1.0ms	(log (sqrt t))
2.0ms	(log (sqrt t))
755.0ms	(+ (+ (- (- (* x (log y)) y) z) (log (sqrt t))) (log (sqrt t)))
13.0ms	(* x (log y))

series370.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(log (sqrt t))
92.0ms	(log (sqrt t))
106.0ms	(+ (+ (- (- (* x (log y)) y) z) (log (sqrt t))) (log (sqrt t)))
65.0ms	(* x (log y))

simplify1.4s

Counts

103 → 103

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	156	31530
1	361	28338
2	1404	27140
done	5002	26639

prune569.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize73.0ms

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)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
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:

16.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
7.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

291.0ms	(* (cbrt y) (cbrt y))
253.0ms	(cbrt y)
296.0ms	(cbrt y)
252.0ms	(cbrt y)

simplify1.3s

Counts

85 → 85

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	61	17134
1	138	14621
2	727	14346
done	5000	13666

prune641.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (pow y 2/3)) x)
0.3b	(* (log (cbrt y)) x)
0.6b	(cbrt y)
6.0b	(pow y 2/3)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`pow1`
9×	`associate-l` `add-exp-log`
8×	`add-cbrt-cube`
6×	`associate-r`
4×	`add-log-exp`
3×	`cbrt-prod` `pow-unpow` `unpow-prod-down` `log-pow`
2×	`pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 67

Calls

4 calls:

6.0ms	(* (log (pow y 2/3)) x)
6.0ms	(* (log (cbrt y)) x)
1.0ms	(cbrt y)
2.0ms	(pow y 2/3)

series896.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(* (log (pow y 2/3)) x)
165.0ms	(* (log (cbrt y)) x)
268.0ms	(cbrt y)
295.0ms	(pow y 2/3)

simplify913.0ms

Counts

79 → 79

Iterations

Useful iterations: done (901.0ms)

Iter	Nodes	Cost
0	118	22901
1	270	15981
2	1176	15375
done	5001	14835

prune586.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes905.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	12	384
1	15	384
done	15	384

end0.0ms

sample3.7s

Algorithm

intervals

Results

2.0s	23596×	body	80	nan
600.0ms	8031×	body	80	valid
0.0ms	1×	body	640	valid