Details

sample111.0ms

Algorithm

intervals

Results

56.0ms	808×	body	80	nan
15.0ms	257×	body	80	valid

simplify1.8s

Counts

1 → 1

Iterations

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

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize50.0ms

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))

rewrite294.0ms

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:

71.0ms	(- (- (* x (log y)) y) z)
188.0ms	(+ (- (- (* x (log y)) y) z) (log t))
15.0ms	(- (* x (log y)) y)
15.0ms	(* x (log y))

series274.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (- (* x (log y)) y) z)
69.0ms	(+ (- (- (* x (log y)) y) z) (log t))
93.0ms	(- (* x (log y)) y)
52.0ms	(* x (log y))

simplify1.0s

Counts

110 → 110

Iterations

Iter	Nodes
done	5001
2	1466
1	391
0	167

prune717.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite306.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

2.0ms	(log (sqrt t))
275.0ms	(+ (- (+ (log (sqrt t)) (* (log y) x)) (+ y z)) (log (sqrt t)))
16.0ms	(+ (log (sqrt t)) (* (log y) x))
11.0ms	(* (log y) x)

series553.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(log (sqrt t))
213.0ms	(+ (- (+ (log (sqrt t)) (* (log y) x)) (+ y z)) (log (sqrt t)))
169.0ms	(+ (log (sqrt t)) (* (log y) x))
75.0ms	(* (log y) x)

simplify889.0ms

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	1878
1	431
0	169

prune759.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

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)

rewrite14.0ms

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:

11.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.0s

Counts

4 → 12

Calls

4 calls:

300.0ms	(* (cbrt y) (cbrt y))
233.0ms	(cbrt y)
243.0ms	(cbrt y)
237.0ms	(cbrt y)

simplify1.1s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune605.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize112.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`pow-unpow` `unpow-prod-down`
7×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`cbrt-prod` `pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`
1×	`pow1/3`

Counts

4 → 62

Calls

4 calls:

1.0ms	(cbrt y)
3.0ms	(pow y 2/3)
4.0ms	(pow y 2/3)
4.0ms	(pow y 2/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

289.0ms	(cbrt y)
293.0ms	(pow y 2/3)
266.0ms	(pow y 2/3)
265.0ms	(pow y 2/3)

simplify1.9s

Counts

74 → 74

Iterations

Iter	Nodes
done	5001
3	2535
2	504
1	136
0	57

prune515.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes543.0ms

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	16
1	16
0	12

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.2s	23596×	body	80	nan
636.0ms	8031×	body	80	valid
0.0ms	1×	body	640	valid