Details

sample29.0ms

Algorithm

intervals

Results

9.0ms	259×	body	80	valid
7.0ms	260×	body	80	nan

simplify11.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	12
1	21	12
2	60	12
3	163	12
4	484	12
5	874	12
6	1423	12
7	1994	12
8	2166	12
9	2268	12
10	2463	12
11	2556	12
12	2651	12
13	2783	12
14	2898	12
15	2902	12
done	2902	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (+ y 0.5) (log y)))
0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.2b	(* (+ y 0.5) (log y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

3.0ms	(- x (* (+ y 0.5) (log y)))
9.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
10.0ms	(* (+ y 0.5) (log y))

series316.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- x (* (+ y 0.5) (log y)))
46.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
234.0ms	(* (+ y 0.5) (log y))

simplify2.3s

Counts

71 → 71

Iterations

Useful iterations: 3 (968.0ms)

Iter	Nodes	Cost
0	137	917
1	357	830
2	1068	753
3	4527	728
done	5000	728

prune160.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ y 0.5) (log (cbrt y)))
0.3b	(- (- x (* (* 2 (log (cbrt y))) (+ y 0.5))) (* (+ y 0.5) (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

12.0ms	(* (+ y 0.5) (log (cbrt y)))
14.0ms	(- (- x (* (* 2 (log (cbrt y))) (+ y 0.5))) (* (+ y 0.5) (log (cbrt y))))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series890.0ms

Counts

4 → 12

Calls

4 calls:

435.0ms	(* (+ y 0.5) (log (cbrt y)))
84.0ms	(- (- x (* (* 2 (log (cbrt y))) (+ y 0.5))) (* (+ y 0.5) (log (cbrt y))))
182.0ms	(cbrt y)
189.0ms	(cbrt y)

simplify724.0ms

Counts

101 → 101

Iterations

Useful iterations: 2 (202.0ms)

Iter	Nodes	Cost
0	184	1745
1	517	1624
2	2001	1297
done	5001	1297

prune333.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (cbrt y))
0.1b	(+ (- x (* (log (cbrt y)) (+ 1.5 (* 3 y)))) y)
0.4b	(* (log (cbrt y)) (+ 1.5 (* 3 y)))
0.6b	(cbrt y)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

1.0ms	(log (cbrt y))
12.0ms	(+ (- x (* (log (cbrt y)) (+ 1.5 (* 3 y)))) y)
8.0ms	(* (log (cbrt y)) (+ 1.5 (* 3 y)))
1.0ms	(cbrt y)

series996.0ms

Counts

4 → 12

Calls

4 calls:

255.0ms	(log (cbrt y))
91.0ms	(+ (- x (* (log (cbrt y)) (+ 1.5 (* 3 y)))) y)
468.0ms	(* (log (cbrt y)) (+ 1.5 (* 3 y)))
182.0ms	(cbrt y)

simplify3.1s

Counts

79 → 79

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	126	927
1	332	883
2	1078	783
3	4830	715
done	5000	715

prune220.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt (cbrt y))
6.1b	(pow y 2/3)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `pow1/3`
1×	`pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 53

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt (cbrt y))
1.0ms	(pow y 2/3)

series764.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt y)
178.0ms	(cbrt y)
235.0ms	(cbrt (cbrt y))
169.0ms	(pow y 2/3)

simplify996.0ms

Counts

65 → 65

Iterations

Useful iterations: 4 (337.0ms)

Iter	Nodes	Cost
0	75	356
1	144	315
2	277	288
3	628	274
4	2013	270
done	5000	270

prune262.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes136.0ms

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	10	12
1	13	12
done	13	12

end0.0ms

sample820.0ms

Algorithm

intervals

Results

284.0ms	8038×	body	80	valid
216.0ms	7991×	body	80	nan
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid