Details

sample158.0ms

Algorithm

intervals

Results

57.0ms	777×	body	80	nan
21.0ms	257×	body	80	valid

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
13	4748
12	4393
11	3967
10	3593
9	3111
8	2448
7	1668
6	1152
5	611
4	289
3	106
2	46
1	20
0	10

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 3 expressions with local error:

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

rewrite294.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

77.0ms	(- (- (* x (log y)) y) z)
204.0ms	(+ (- (- (* x (log y)) y) z) (log t))
8.0ms	(* x (log y))

series177.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(- (- (* x (log y)) y) z)
68.0ms	(+ (- (- (* x (log y)) y) z) (log t))
62.0ms	(* x (log y))

simplify1.4s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
2	1125
1	342
0	150

prune591.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite973.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

155.0ms	(- (- (+ (* (log (sqrt y)) x) (* (log (sqrt y)) x)) y) z)
800.0ms	(+ (- (- (+ (* (log (sqrt y)) x) (* (log (sqrt y)) x)) y) z) (log t))
8.0ms	(* (log (sqrt y)) x)
8.0ms	(* (log (sqrt y)) x)

series539.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(- (- (+ (* (log (sqrt y)) x) (* (log (sqrt y)) x)) y) z)
156.0ms	(+ (- (- (+ (* (log (sqrt y)) x) (* (log (sqrt y)) x)) y) z) (log t))
135.0ms	(* (log (sqrt y)) x)
120.0ms	(* (log (sqrt y)) x)

simplify2.5s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
3	4944
2	1105
1	346
0	142

prune674.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (cbrt y)) x)
0.3b	(+ (* (log (cbrt y)) (+ x x)) (* (log (cbrt y)) x))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

11.0ms	(* (log (cbrt y)) x)
19.0ms	(+ (* (log (cbrt y)) (+ x x)) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series763.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(* (log (cbrt y)) x)
140.0ms	(+ (* (log (cbrt y)) (+ x x)) (* (log (cbrt y)) x))
236.0ms	(cbrt y)
237.0ms	(cbrt y)

simplify4.3s

Counts

68 → 68

Iterations

Iter	Nodes
done	5003
3	4507
2	840
1	232
0	89

prune542.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize116.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

275.0ms	(cbrt y)
284.0ms	(cbrt y)
242.0ms	(cbrt y)
305.0ms	(cbrt y)

simplify2.5s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
5	1290
4	441
3	189
2	94
1	44
0	24

prune552.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes859.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	12

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.4s	24360×	body	80	nan
684.0ms	8033×	body	80	valid
1.0ms	2×	body	1280	valid