Details

sample71.0ms

Algorithm

intervals

Results

21.0ms	257×	body	80	valid
16.0ms	232×	body	80	nan

simplify34.8s

Counts

1 → 1

Iterations

Useful iterations: 4 (199.0ms)

Iter	Nodes	Cost
0	10	12
1	21	12
2	63	12
3	203	12
4	476	11
5	1030	11
6	1721	11
7	2404	11
8	2731	11
9	2785	11
10	3029	11
11	3277	11
12	3518	11
13	3822	11
14	4176	11
15	4222	11
16	4242	11
done	4242	11

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt`
7×	`add-log-exp`
6×	`log-prod`
5×	`pow1` `associate-+l+`
4×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
3×	`distribute-rgt-in` `fma-def` `distribute-lft-in` `prod-diff`
2×	`expm1-log1p-u` `flip3-+` `associate-*l/` `sum-log` `flip-+` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `sub-neg` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 54

Calls

2 calls:

25.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
23.0ms	(* (+ y 0.5) (log y))

series367.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
320.0ms	(* (+ y 0.5) (log y))

simplify3.3s

Counts

60 → 60

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	120	712
1	313	673
2	975	601
3	3844	577
done	5000	577

prune236.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`log-prod`
15×	`prod-diff`
12×	`associate--l+`
11×	`associate--r+`
10×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1`
5×	`add-exp-log` `add-cbrt-cube`
4×	`fma-neg` `diff-log` `associate-r` `associate-l`
3×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u`
2×	`flip3--` `associate-*l/` `flip--`
1×	`flip3-+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `distribute-lft-out--` `associate--r-` `difference-of-squares` `unswap-sqr`

Counts

3 → 95

Calls

3 calls:

75.0ms	(- x (- (* (+ y 0.5) (log y)) y))
42.0ms	(* (+ y 0.5) (log y))
27.0ms	(- (* (+ y 0.5) (log y)) y)

series1.2s

Counts

3 → 9

Calls

3 calls:

60.0ms	(- x (- (* (+ y 0.5) (log y)) y))
432.0ms	(* (+ y 0.5) (log y))
729.0ms	(- (* (+ y 0.5) (log y)) y)

simplify1.9s

Counts

104 → 104

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	189	1786
1	463	1385
2	1407	1256
done	5001	1155

prune356.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* (log 1) (+ y 0.5)) (fma (log y) (+ y 0.5) (- y))))
0.1b	(fma (log y) (+ y 0.5) (- y))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`add-cube-cbrt` `prod-diff`
7×	`add-log-exp`
3×	`fma-neg`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `diff-log` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `sum-log` `flip--` `fma-udef` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 40

Calls

2 calls:

47.0ms	(- x (+ (* (log 1) (+ y 0.5)) (fma (log y) (+ y 0.5) (- y))))
1.0ms	(fma (log y) (+ y 0.5) (- y))

series555.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(- x (+ (* (log 1) (+ y 0.5)) (fma (log y) (+ y 0.5) (- y))))
494.0ms	(fma (log y) (+ y 0.5) (- y))

simplify3.7s

Counts

46 → 46

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	107	1713
1	260	1101
2	821	740
3	3363	547
done	5000	546

prune201.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite647.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`prod-diff` `add-log-exp`
12×	`pow1` `log-prod`
10×	`associate-r` `associate-l`
9×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `associate--l+`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate--r+`
6×	`flip3--` `sqrt-prod` `log-pow` `flip--`
4×	`expm1-log1p-u` `sub-neg` `fma-neg` `frac-sub` `log1p-expm1-u`
2×	`sqrt-pow1` `flip3-+` `pow1/2` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`
1×	`associate--l-` `distribute-lft-out--` `associate--r-` `difference-of-squares`

Counts

4 → 135

Calls

4 calls:

535.0ms	(- (- x (* (+ y 0.5) (log (sqrt y)))) (- (* (log (sqrt y)) (+ y 0.5)) y))
43.0ms	(* (log (sqrt y)) (+ y 0.5))
33.0ms	(* (+ y 0.5) (log (sqrt y)))
28.0ms	(- (* (log (sqrt y)) (+ y 0.5)) y)

series711.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(- (- x (* (+ y 0.5) (log (sqrt y)))) (- (* (log (sqrt y)) (+ y 0.5)) y))
130.0ms	(* (log (sqrt y)) (+ y 0.5))
137.0ms	(* (+ y 0.5) (log (sqrt y)))
250.0ms	(- (* (log (sqrt y)) (+ y 0.5)) y)

simplify2.6s

Counts

147 → 147

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	275	3365
1	751	2800
2	2726	2397
done	5001	2135

prune563.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes132.0ms

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: 1 (2.0ms)

Iter	Nodes	Cost
0	14	19
1	19	18
done	19	18

end0.0ms

sample1.9s

Algorithm

intervals

Results

617.0ms	8028×	body	80	valid
593.0ms	8082×	body	80	nan
0.0ms	1×	body	640	valid