Details

sample91.0ms

Algorithm

intervals

Results

32.0ms	281×	body	80	nan
21.0ms	287×	body	80	valid
0.0ms	1×	body	640	valid

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	357
1	30	357
2	84	357
3	269	357
4	996	357
5	4010	357
done	5002	357

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- a 0.5) b)
0.0b	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite715.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

24.0ms	(* (- a 0.5) b)
493.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
187.0ms	(- (+ (+ x y) z) (* z (log t)))
8.0ms	(* z (log t))

series337.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (- a 0.5) b)
189.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
55.0ms	(- (+ (+ x y) z) (* z (log t)))
53.0ms	(* z (log t))

simplify1.7s

Counts

102 → 102

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	204	34165
1	564	29992
2	2452	29430
done	5001	29158

prune589.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite15.0ms

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:

10.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.3s

Counts

4 → 12

Calls

4 calls:

218.0ms	(* (cbrt t) (cbrt t))
241.0ms	(cbrt t)
293.0ms	(cbrt t)
551.0ms	(cbrt t)

simplify1.3s

Counts

85 → 85

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	61	17134
1	138	14621
2	727	14346
done	5000	13666

prune702.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize102.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (pow t 1/3) (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
5.2b	(pow t 1/3)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
12×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
10×	`add-exp-log`
8×	`unpow-prod-down`
7×	`associate-l`
6×	`associate-r` `unswap-sqr`
5×	`pow1` `add-cbrt-cube` `pow1/3`
4×	`add-log-exp` `sqr-pow`
3×	`pow-unpow` `prod-exp`
2×	`pow-to-exp` `unpow1/3` `pow-exp` `cbrt-unprod`
1×	`pow-pow` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 75

Calls

4 calls:

19.0ms	(* (pow t 1/3) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
3.0ms	(pow t 1/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

299.0ms	(* (pow t 1/3) (cbrt t))
296.0ms	(cbrt t)
282.0ms	(cbrt t)
242.0ms	(pow t 1/3)

simplify2.0s

Counts

87 → 87

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	93	26227
1	233	16872
2	1580	16352
done	5000	15442

prune814.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite20.0ms

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:

10.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
7.0ms	(cbrt t)
1.0ms	(cbrt t)

series938.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(* (cbrt t) (cbrt t))
210.0ms	(cbrt t)
233.0ms	(cbrt t)
245.0ms	(cbrt t)

simplify1.3s

Counts

85 → 85

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	61	17134
1	138	14621
2	727	14346
done	5000	13666

prune624.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes1.3s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	838
1	30	838
done	30	838

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.1s	9018×	body	80	nan
795.0ms	9212×	body	80	valid
1.0ms	2×	body	640	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid