Details

sample119.0ms

Algorithm

intervals

Results

43.0ms	814×	body	80	nan
21.0ms	299×	body	80	valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	21
1	38	21
2	97	21
3	363	21
4	1199	21
5	2905	21
6	4474	21
done	5001	21

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.0b	(+ (+ (* x (log y)) z) t)
0.2b	(* (- b 0.5) (log c))
0.2b	(* x (log y))

rewrite328.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

293.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
16.0ms	(+ (+ (* x (log y)) z) t)
12.0ms	(* (- b 0.5) (log c))
4.0ms	(* x (log y))

series372.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
42.0ms	(+ (+ (* x (log y)) z) t)
59.0ms	(* (- b 0.5) (log c))
39.0ms	(* x (log y))

simplify748.0ms

Counts

105 → 105

Iterations

Useful iterations: done (745.0ms)

Iter	Nodes	Cost
0	240	1648
1	619	1560
2	2427	1453
done	5000	1451

prune417.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt c)) (- b 0.5))
0.2b	(* x (log y))
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

11.0ms	(* (log (cbrt c)) (- b 0.5))
4.0ms	(* x (log y))
0.0ms	(cbrt c)
1.0ms	(cbrt c)

series547.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(* (log (cbrt c)) (- b 0.5))
37.0ms	(* x (log y))
171.0ms	(cbrt c)
172.0ms	(cbrt c)

simplify1.6s

Counts

87 → 87

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	141	665
1	282	620
2	943	551
3	3351	540
done	5000	538

prune402.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (pow c 1/3)) (- b 0.5))
0.2b	(* x (log y))
0.6b	(cbrt c)
4.9b	(pow c 1/3)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
13×	`add-cube-cbrt`
10×	`pow1`
9×	`add-exp-log` `associate-r`
8×	`add-cbrt-cube`
7×	`associate-l`
6×	`log-prod`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`add-log-exp`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow`
2×	`sub-neg` `associate-r/` `pow-prod-down` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow-to-exp` `flip3--` `pow-pow` `unpow1/3` `pow1/3` `pow-exp` `flip--` `distribute-lft-out--` `difference-of-squares` `sqr-pow`

Counts

4 → 81

Calls

4 calls:

14.0ms	(* (log (pow c 1/3)) (- b 0.5))
4.0ms	(* x (log y))
1.0ms	(cbrt c)
1.0ms	(pow c 1/3)

series538.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(* (log (pow c 1/3)) (- b 0.5))
42.0ms	(* x (log y))
175.0ms	(cbrt c)
171.0ms	(pow c 1/3)

simplify569.0ms

Counts

93 → 93

Iterations

Useful iterations: done (566.0ms)

Iter	Nodes	Cost
0	172	750
1	353	650
2	1237	583
done	5000	559

prune477.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt c)
0.6b	(cbrt c)
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

0.0ms	(cbrt c)
0.0ms	(cbrt c)
0.0ms	(cbrt c)
1.0ms	(cbrt c)

series884.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt c)
173.0ms	(cbrt c)
170.0ms	(cbrt c)
372.0ms	(cbrt c)

simplify1.9s

Counts

56 → 56

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	24	260
1	42	244
2	86	220
3	198	208
4	603	208
5	3223	208
done	5001	208

prune325.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes689.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	41
1	41	41
done	41	41

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.5s	27925×	body	80	nan
582.0ms	9147×	body	80	valid
1.0ms	1×	body	1280	valid
0.0ms	2×	body	320	valid