Details

sample71.0ms

Algorithm

intervals

Results

17.0ms	257×	body	80	valid
13.0ms	255×	body	80	nan

simplify4.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	25	8
3	41	8
4	83	8
5	188	8
6	417	8
7	1183	8
8	3990	8
done	5000	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate--l+`
18×	`log-prod`
15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1`
5×	`add-exp-log` `add-cbrt-cube`
4×	`diff-log` `associate-r`
3×	`sub-neg` `associate-l`
2×	`flip3--` `flip--`
1×	`associate--l-` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

10.0ms	(- (* x (log y)) z)
49.0ms	(- (- (* x (log y)) z) y)
23.0ms	(* x (log y))

series154.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(- (* x (log y)) z)
51.0ms	(- (- (* x (log y)) z) y)
41.0ms	(* x (log y))

simplify2.8s

Counts

76 → 76

Iterations

Useful iterations: 3 (659.0ms)

Iter	Nodes	Cost
0	126	705
1	275	666
2	731	629
3	4011	596
done	5000	596

prune348.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

60×	`log-prod`
52×	`associate--l+`
34×	`add-sqr-sqrt`
30×	`distribute-rgt-in` `*-un-lft-identity` `distribute-lft-in` `sqrt-prod`
28×	`add-cube-cbrt`
18×	`add-log-exp`
16×	`associate-+r+`
12×	`pow1` `associate-+l+` `associate-r`
8×	`add-exp-log` `add-cbrt-cube`
6×	`diff-log` `associate-l` `log-pow`
4×	`sub-neg`
3×	`sum-log`
2×	`sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate--l-` `associate-+r-` `flip3--` `flip3-+` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 138

Calls

4 calls:

85.0ms	(- (- (* x (log (sqrt y))) z) y)
113.0ms	(+ (* x (log (sqrt y))) (- (- (* x (log (sqrt y))) z) y))
16.0ms	(* x (log (sqrt y)))
12.0ms	(* x (log (sqrt y)))

series362.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(- (- (* x (log (sqrt y))) z) y)
90.0ms	(+ (* x (log (sqrt y))) (- (- (* x (log (sqrt y))) z) y))
98.0ms	(* x (log (sqrt y)))
98.0ms	(* x (log (sqrt y)))

simplify889.0ms

Counts

150 → 150

Iterations

Useful iterations: done (884.0ms)

Iter	Nodes	Cost
0	182	1870
1	451	1649
2	1663	1544
done	5000	1512

prune622.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

66×	`log-prod`
51×	`distribute-rgt-in` `distribute-lft-in`
48×	`cbrt-prod`
36×	`associate-+l+`
34×	`add-sqr-sqrt`
32×	`add-cube-cbrt` `*-un-lft-identity`
30×	`sqrt-prod`
18×	`associate-+r+`
8×	`pow1`
6×	`add-exp-log` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l` `log-pow`
2×	`pow1/3`
1×	`+-commutative` `sqrt-pow1` `flip3-+` `pow1/2` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 127

Calls

4 calls:

12.0ms	(* x (log (sqrt y)))
46.0ms	(+ (* x (* 2 (log (cbrt (sqrt y))))) (* x (log (cbrt (sqrt y)))))
2.0ms	(cbrt (sqrt y))
2.0ms	(cbrt (sqrt y))

series764.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* x (log (sqrt y)))
209.0ms	(+ (* x (* 2 (log (cbrt (sqrt y))))) (* x (log (cbrt (sqrt y)))))
236.0ms	(cbrt (sqrt y))
194.0ms	(cbrt (sqrt y))

simplify1.8s

Counts

139 → 139

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	235	1814
1	598	1524
2	2619	1391
done	5000	1354

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

2.0ms	(cbrt (sqrt y))
2.0ms	(cbrt (sqrt y))
2.0ms	(cbrt (sqrt y))
2.0ms	(cbrt (sqrt y))

series875.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(cbrt (sqrt y))
188.0ms	(cbrt (sqrt y))
262.0ms	(cbrt (sqrt y))
205.0ms	(cbrt (sqrt y))

simplify738.0ms

Counts

68 → 68

Iterations

Useful iterations: done (736.0ms)

Iter	Nodes	Cost
0	41	496
1	81	456
2	211	408
3	915	396
done	5001	384

prune390.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes250.0ms

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	16	25
1	22	25
done	22	25

end0.0ms

sample2.1s

Algorithm

intervals

Results

440.0ms	8024×	body	80	valid
392.0ms	8035×	body	80	nan
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid