Details

sample66.0ms

Algorithm

intervals

Results

26.0ms	705×	body	80	nan
11.0ms	256×	body	80	valid

simplify815.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	48	11
3	112	11
4	210	11
5	306	11
6	456	11
7	619	11
8	677	11
9	688	11
done	688	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (log y)) y)
0.0b	(+ (- (- (* x (log y)) y) z) (log t))
0.2b	(* x (log y))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

4.0ms	(- (* x (log y)) y)
73.0ms	(+ (- (- (* x (log y)) y) z) (log t))
4.0ms	(* x (log y))

series141.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- (* x (log y)) y)
43.0ms	(+ (- (- (* x (log y)) y) z) (log t))
40.0ms	(* x (log y))

simplify1.9s

Counts

83 → 83

Iterations

Useful iterations: 3 (355.0ms)

Iter	Nodes	Cost
0	148	857
1	333	828
2	948	764
3	3362	730
done	5000	730

prune212.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (- (* x (log y)) (+ z y)) (* 2 (log (cbrt t)))) (log (cbrt t)))
0.2b	(* x (log y))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

162.0ms	(+ (+ (- (* x (log y)) (+ z y)) (* 2 (log (cbrt t)))) (log (cbrt t)))
4.0ms	(* x (log y))
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series477.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ (+ (- (* x (log y)) (+ z y)) (* 2 (log (cbrt t)))) (log (cbrt t)))
36.0ms	(* x (log y))
190.0ms	(cbrt t)
176.0ms	(cbrt t)

simplify444.0ms

Counts

83 → 83

Iterations

Useful iterations: done (442.0ms)

Iter	Nodes	Cost
0	145	949
1	333	858
2	1152	738
done	5000	720

prune292.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.3b	(* (* 2 (log (cbrt y))) x)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1` `cbrt-prod` `log-prod`
11×	`add-exp-log` `add-cbrt-cube`
8×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 72

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
8.0ms	(* (* 2 (log (cbrt y))) x)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series567.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* x (log (cbrt y)))
126.0ms	(* (* 2 (log (cbrt y))) x)
174.0ms	(cbrt y)
178.0ms	(cbrt y)

simplify2.6s

Counts

84 → 84

Iterations

Useful iterations: 3 (501.0ms)

Iter	Nodes	Cost
0	110	670
1	230	634
2	961	527
3	4027	518
done	5000	518

prune296.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2 (log (cbrt y))) x)
0.3b	(* x (log (pow (/ 1 y) -1/3)))
0.6b	(cbrt y)
5.1b	(pow (/ 1 y) -1/3)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

39×	`unpow-prod-down`
34×	`add-sqr-sqrt` `log-prod`
32×	`add-cube-cbrt` `*-un-lft-identity`
27×	`times-frac`
17×	`distribute-rgt-in` `distribute-lft-in`
16×	`add-exp-log`
13×	`pow1`
11×	`add-cbrt-cube`
7×	`associate-r`
4×	`associate-l` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`cbrt-prod` `pow-unpow` `pow-pow` `div-inv` `sqr-pow`
2×	`div-exp` `*-commutative`
1×	`pow-to-exp` `rec-exp` `pow-flip` `pow1/3` `1-exp` `log-pow` `inv-pow` `unswap-sqr`

Counts

4 → 114

Calls

4 calls:

8.0ms	(* (* 2 (log (cbrt y))) x)
11.0ms	(* x (log (pow (/ 1 y) -1/3)))
1.0ms	(cbrt y)
4.0ms	(pow (/ 1 y) -1/3)

series567.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* (* 2 (log (cbrt y))) x)
84.0ms	(* x (log (pow (/ 1 y) -1/3)))
185.0ms	(cbrt y)
174.0ms	(pow (/ 1 y) -1/3)

simplify1.4s

Counts

126 → 126

Iterations

Useful iterations: 2 (178.0ms)

Iter	Nodes	Cost
0	239	1512
1	488	1330
2	1841	1044
done	5001	1044

prune341.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes159.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	20	23
1	27	23
done	27	23

end0.0ms

sample2.0s

Algorithm

intervals

Results

807.0ms	24033×	body	80	nan
332.0ms	8032×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid