Details

sample148.0ms

Algorithm

intervals

Results

52.0ms	808×	body	80	nan
19.0ms	257×	body	80	valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	2214
4	521
3	129
2	52
1	21
0	10

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

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))

rewrite301.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
40×	`associate--l+`
38×	`add-sqr-sqrt`
32×	`add-cube-cbrt`
27×	`log-prod` `prod-diff`
22×	`associate-+l+`
17×	`add-log-exp`
12×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1`
7×	`diff-log`
6×	`add-cbrt-cube` `add-exp-log`
5×	`sub-neg` `fma-def`
4×	`expm1-log1p-u` `fma-neg` `associate-r` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--`
3×	`associate-+r+` `sum-log` `associate-l` `log-pow`
2×	`flip3--` `flip--` `difference-of-squares`
1×	`associate--l-` `+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 142

Calls

4 calls:

54.0ms	(- (- (* x (log y)) y) z)
212.0ms	(+ (- (- (* x (log y)) y) z) (log t))
16.0ms	(- (* x (log y)) y)
14.0ms	(* x (log y))

series231.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- (- (* x (log y)) y) z)
55.0ms	(+ (- (- (* x (log y)) y) z) (log t))
69.0ms	(- (* x (log y)) y)
52.0ms	(* x (log y))

simplify2.0s

Counts

154 → 154

Iterations

Iter	Nodes
done	5000
2	2173
1	573
0	220

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

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))

rewrite803.0ms

Algorithm

rewrite-expression-head

Rules

46×	`*-un-lft-identity`
24×	`log-prod`
22×	`pow1` `distribute-lft-out`
18×	`log-pow`
17×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
11×	`add-log-exp`
9×	`sqrt-prod`
8×	`add-exp-log`
7×	`sum-log` `fma-def`
6×	`associate-+r+` `add-cbrt-cube` `distribute-lft-out--`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
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 → 106

Calls

4 calls:

2.0ms	(log (sqrt t))
2.0ms	(log (sqrt t))
777.0ms	(+ (+ (- (- (* x (log y)) y) z) (log (sqrt t))) (log (sqrt t)))
19.0ms	(* x (log y))

series293.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(log (sqrt t))
90.0ms	(log (sqrt t))
85.0ms	(+ (+ (- (- (* x (log y)) y) z) (log (sqrt t))) (log (sqrt t)))
43.0ms	(* x (log y))

simplify1.4s

Counts

118 → 118

Iterations

Iter	Nodes
done	5000
2	1468
1	378
0	162

prune738.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize58.0ms

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)

rewrite26.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

17.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

345.0ms	(* (cbrt y) (cbrt y))
289.0ms	(cbrt y)
284.0ms	(cbrt y)
312.0ms	(cbrt y)

simplify1.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	725
1	142
0	65

prune786.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize95.0ms

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)

rewrite27.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 75

Calls

4 calls:

7.0ms	(* (log (pow y 2/3)) x)
13.0ms	(* (log (cbrt y)) x)
1.0ms	(cbrt y)
4.0ms	(pow y 2/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

137.0ms	(* (log (pow y 2/3)) x)
426.0ms	(* (log (cbrt y)) x)
307.0ms	(cbrt y)
268.0ms	(pow y 2/3)

simplify1.2s

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
2	1159
1	280
0	126

prune822.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes865.0ms

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	15
1	15
0	12

end0.0ms

sample4.9s

Algorithm

intervals

Results

1.8s	23596×	body	80	nan
582.0ms	8031×	body	80	valid
1.0ms	1×	body	640	valid