Details

sample80.0ms

Algorithm

intervals

Results

27.0ms	269×	body	80	nan
17.0ms	256×	body	80	valid

simplify16.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	21	12
2	61	12
3	185	12
4	431	12
5	875	12
6	1528	12
7	1853	12
8	2082	12
9	2098	12
10	2292	12
11	2327	12
12	2386	12
13	2422	12
14	2490	12
15	2494	12
done	2494	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

11.0ms	(- x (* (+ y 0.5) (log y)))
169.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
21.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
23.0ms	(* (+ y 0.5) (log y))

series497.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(- x (* (+ y 0.5) (log y)))
93.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
46.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
299.0ms	(* (+ y 0.5) (log y))

simplify1.0s

Counts

93 → 93

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	172	1294
1	445	1175
2	1419	1094
done	5000	1058

prune305.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ y 0.5) (log (cbrt y)))
0.2b	(- (- x (* (* 2 (log (cbrt y))) (+ y 0.5))) (* (+ y 0.5) (log (cbrt y))))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite111.0ms

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:

42.0ms	(* (+ y 0.5) (log (cbrt y)))
62.0ms	(- (- x (* (* 2 (log (cbrt y))) (+ y 0.5))) (* (+ y 0.5) (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

618.0ms	(* (+ y 0.5) (log (cbrt y)))
108.0ms	(- (- x (* (* 2 (log (cbrt y))) (+ y 0.5))) (* (+ y 0.5) (log (cbrt y))))
242.0ms	(cbrt y)
237.0ms	(cbrt y)

simplify1.2s

Counts

101 → 101

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	184	1745
1	535	1624
2	2156	1339
done	5000	1322

prune436.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.6b	(cbrt (cbrt y))
0.6b	(cbrt (cbrt y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt (cbrt y))
2.0ms	(cbrt (cbrt y))

series1.3s

Counts

4 → 12

Calls

4 calls:

242.0ms	(cbrt y)
285.0ms	(cbrt y)
358.0ms	(cbrt (cbrt y))
422.0ms	(cbrt (cbrt y))

simplify3.9s

Counts

62 → 62

Iterations

Useful iterations: done (3.9s)

Iter	Nodes	Cost
0	42	346
1	75	328
2	147	300
3	304	288
4	970	288
5	4752	288
done	5001	276

prune381.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite5.0ms

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:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series997.0ms

Counts

4 → 12

Calls

4 calls:

256.0ms	(cbrt y)
260.0ms	(cbrt y)
247.0ms	(cbrt y)
234.0ms	(cbrt y)

simplify2.4s

Counts

56 → 56

Iterations

Useful iterations: 3 (33.0ms)

Iter	Nodes	Cost
0	24	260
1	42	244
2	83	220
3	167	208
4	388	208
5	1317	208
done	5000	208

prune305.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes205.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	35
1	28	35
done	28	35

end0.0ms

sample2.1s

Algorithm

intervals

Results

730.0ms	8032×	body	80	valid
550.0ms	7986×	body	80	nan
1.0ms	2×	body	1280	valid