Details

sample122.0ms

Algorithm

intervals

Results

62.0ms	712×	body	80	nan
26.0ms	255×	body	80	valid
1.0ms	1×	body	1280	valid

simplify3.3s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
21×	`log-prod`
20×	`associate--l+` `add-log-exp`
19×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `distribute-lft-out--`
10×	`pow1` `associate-+l+`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`distribute-lft-out`
7×	`diff-log`
6×	`sum-log` `associate-l`
5×	`add-cbrt-cube` `add-exp-log` `log-pow`
4×	`associate-r`
3×	`associate-+r+` `sub-neg` `insert-posit16`
2×	`associate-+l-` `difference-of-squares` `unswap-sqr`
1×	`associate--l-` `+-commutative` `flip3-+` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `flip--`

Counts

3 → 89

Calls

3 calls:

1.0s	(+ (- (- (* x (log y)) y) z) (log t))
55.0ms	(- (* x (log y)) y)
9.0ms	(* x (log y))

series184.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(+ (- (- (* x (log y)) y) z) (log t))
70.0ms	(- (* x (log y)) y)
48.0ms	(* x (log y))

simplify3.1s

Counts

98 → 98

Iterations

Iter	Nodes
done	5009
3	4356
2	1017
1	359
0	161

prune463.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.9s

Algorithm

rewrite-expression-head

Rules

101×	`*-un-lft-identity`
60×	`add-log-exp`
42×	`log-prod` `distribute-lft-out`
38×	`associate-+l+`
34×	`associate--l+`
32×	`sum-log` `distribute-lft-out--`
28×	`pow1`
27×	`add-sqr-sqrt`
22×	`log-pow`
20×	`add-cube-cbrt`
19×	`diff-log`
18×	`associate-+r+`
12×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-l`
9×	`sqrt-prod`
6×	`add-cbrt-cube` `add-exp-log` `associate-+l-`
5×	`sub-neg`
4×	`associate-r` `insert-posit16`
3×	`+-commutative`
2×	`associate--l-` `flip3-+` `flip-+` `difference-of-squares` `unswap-sqr`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--`

Counts

4 → 161

Calls

4 calls:

44.0ms	(- (* x (log y)) y)
959.0ms	(+ (- (- (* x (log y)) y) z) (log (sqrt t)))
3.9s	(+ (+ (- (- (* x (log y)) y) z) (log (sqrt t))) (log (sqrt t)))
8.0ms	(* x (log y))

series306.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(- (* x (log y)) y)
74.0ms	(+ (- (- (* x (log y)) y) z) (log (sqrt t)))
83.0ms	(+ (+ (- (- (* x (log y)) y) z) (log (sqrt t))) (log (sqrt t)))
64.0ms	(* x (log y))

simplify1.6s

Counts

173 → 173

Iterations

Iter	Nodes
done	5000
2	1634
1	525
0	231

prune804.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

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)

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
23×	`associate-l`
22×	`associate-r`
21×	`distribute-lft-out`
18×	`add-sqr-sqrt`
13×	`pow1` `add-cube-cbrt`
10×	`log-pow`
8×	`distribute-rgt-out`
6×	`cbrt-prod` `add-cbrt-cube` `add-exp-log` `add-log-exp`
5×	`pow1/3`
4×	`associate-+l+` `insert-posit16`
3×	`+-commutative` `*-commutative`
2×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft1-in` `count-2` `distribute-rgt1-in`
1×	`sum-log` `flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

9.0ms	(* (log (cbrt y)) x)
173.0ms	(+ (* (log (cbrt y)) (+ x x)) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series954.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(* (log (cbrt y)) x)
166.0ms	(+ (* (log (cbrt y)) (+ x x)) (* (log (cbrt y)) x))
283.0ms	(cbrt y)
314.0ms	(cbrt y)

simplify1.5s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
2	930
1	288
0	110

prune635.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (cbrt y)) x)
0.3b	(+ (* (log (pow y 1/3)) (+ x x)) (* (log (cbrt y)) x))
0.6b	(cbrt y)
5.1b	(pow y 1/3)

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
21×	`associate-l`
14×	`pow1`
12×	`associate-r` `log-pow`
11×	`add-sqr-sqrt` `distribute-lft-out`
9×	`add-cube-cbrt`
7×	`add-exp-log`
6×	`distribute-rgt-out` `add-cbrt-cube` `add-log-exp`
4×	`pow-unpow` `associate-+l+` `pow1/3` `insert-posit16`
3×	`cbrt-prod` `+-commutative` `unpow-prod-down`
2×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft1-in` `count-2` `distribute-rgt1-in`
1×	`pow-to-exp` `sum-log` `pow-pow` `flip3-+` `unpow1/3` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr` `sqr-pow`

Counts

4 → 85

Calls

4 calls:

9.0ms	(* (log (cbrt y)) x)
211.0ms	(+ (* (log (pow y 1/3)) (+ x x)) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
8.0ms	(pow y 1/3)

series918.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(* (log (cbrt y)) x)
237.0ms	(+ (* (log (pow y 1/3)) (+ x x)) (* (log (cbrt y)) x))
287.0ms	(cbrt y)
237.0ms	(pow y 1/3)

simplify3.0s

Counts

97 → 97

Iterations

Iter	Nodes
done	5002
3	3619
2	1025
1	361
0	137

prune564.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes551.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	21
1	21
0	17

end0.0ms

sample5.6s

Algorithm

intervals

Results

3.2s	23960×	body	80	nan
1.1s	8019×	body	80	valid
1.0ms	1×	body	1280	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid