Details

sample27.0ms

Algorithm

intervals

Results

8.0ms	257×	body	80	valid
6.0ms	260×	body	80	nan

simplify72.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	25	8
3	41	8
4	50	8
5	58	8
6	79	8
7	113	8
8	132	8
done	132	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

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:

19.0ms	(- (- (* x (log y)) z) y)
4.0ms	(- (* x (log y)) z)
4.0ms	(* x (log y))

series132.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(- (- (* x (log y)) z) y)
54.0ms	(- (* x (log y)) z)
43.0ms	(* x (log y))

simplify891.0ms

Counts

76 → 76

Iterations

Useful iterations: 3 (315.0ms)

Iter	Nodes	Cost
0	126	705
1	249	666
2	642	629
3	1714	596
done	5000	596

prune166.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
18×	`cbrt-prod` `add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
9.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series593.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* x (log (cbrt y)))
132.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
179.0ms	(cbrt y)
187.0ms	(cbrt y)

simplify2.8s

Counts

89 → 89

Iterations

Useful iterations: 3 (635.0ms)

Iter	Nodes	Cost
0	119	909
1	256	837
2	795	675
3	3912	588
done	5000	588

prune258.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (+ (* 2/3 (log y)) (log (cbrt (sqrt y)))))
0.4b	(* 2/3 (log y))
0.6b	(cbrt (sqrt y))
0.6b	(cbrt (sqrt y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

13.0ms	(* x (+ (* 2/3 (log y)) (log (cbrt (sqrt y)))))
4.0ms	(* 2/3 (log y))
1.0ms	(cbrt (sqrt y))
1.0ms	(cbrt (sqrt y))

series629.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(* x (+ (* 2/3 (log y)) (log (cbrt (sqrt y)))))
149.0ms	(* 2/3 (log y))
152.0ms	(cbrt (sqrt y))
154.0ms	(cbrt (sqrt y))

simplify2.5s

Counts

87 → 87

Iterations

Useful iterations: 3 (958.0ms)

Iter	Nodes	Cost
0	154	849
1	351	797
2	1126	708
3	4497	684
done	5001	684

prune292.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* 3 x) (log (* (cbrt (- y)) (cbrt -1)))) z)
0.0b	(log (* (cbrt (- y)) (cbrt -1)))
0.4b	(* (* 3 x) (log (* (cbrt (- y)) (cbrt -1))))
0.6b	(cbrt (- y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1`
12×	`add-exp-log`
10×	`cbrt-prod`
9×	`add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`pow-prod-down`
6×	`associate-r` `log-pow` `add-log-exp`
5×	`log-prod` `pow1/3`
4×	`prod-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `cbrt-unprod`
2×	`distribute-rgt-in` `distribute-lft-in` `rem-log-exp` `associate--l+`
1×	`neg-mul-1` `sub-neg` `flip3--` `diff-log` `associate-l` `*-commutative` `flip--`

Counts

4 → 68

Calls

4 calls:

12.0ms	(- (* (* 3 x) (log (* (cbrt (- y)) (cbrt -1)))) z)
4.0ms	(log (* (cbrt (- y)) (cbrt -1)))
15.0ms	(* (* 3 x) (log (* (cbrt (- y)) (cbrt -1))))
1.0ms	(cbrt (- y))

series987.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(- (* (* 3 x) (log (* (cbrt (- y)) (cbrt -1)))) z)
360.0ms	(log (* (cbrt (- y)) (cbrt -1)))
181.0ms	(* (* 3 x) (log (* (cbrt (- y)) (cbrt -1))))
196.0ms	(cbrt (- y))

simplify2.8s

Counts

80 → 80

Iterations

Useful iterations: 3 (698.0ms)

Iter	Nodes	Cost
0	121	953
1	259	889
2	862	788
3	4469	771
done	5000	771

prune197.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes89.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample747.0ms

Algorithm

intervals

Results

243.0ms	8034×	body	80	valid
177.0ms	7990×	body	80	nan