Details

sample48.0ms

Algorithm

intervals

Results

12.0ms	257×	body	80	valid
10.0ms	266×	body	80	nan

simplify12.4s

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	1424	12
7	1992	12
8	2162	12
9	2264	12
10	2461	12
11	2555	12
12	2649	12
13	2785	12
14	2903	12
15	2907	12
done	2907	12

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

9.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
6.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
7.0ms	(* (+ y 0.5) (log y))

series65.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
12.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
29.0ms	(* (+ y 0.5) (log y))

simplify747.0ms

Counts

72 → 72

Iterations

Useful iterations: done (745.0ms)

Iter	Nodes	Cost
0	159	1062
1	404	981
2	1245	876
done	5000	843

prune120.0ms

Filtered

49 candidates to 72 candidates (-46.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	64	8	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	8	73

Merged error: 0.0b

Counts

73 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

8.0ms	(- (+ x (- y (* (+ y 0.5) (log y)))) z)
4.0ms	(- y (* (+ y 0.5) (log y)))
7.0ms	(* (+ y 0.5) (log y))

series83.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(- (+ x (- y (* (+ y 0.5) (log y)))) z)
42.0ms	(- y (* (+ y 0.5) (log y)))
23.0ms	(* (+ y 0.5) (log y))

simplify761.0ms

Counts

74 → 74

Iterations

Useful iterations: done (758.0ms)

Iter	Nodes	Cost
0	161	1048
1	402	965
2	1274	845
done	5000	824

prune102.0ms

Filtered

53 candidates to 74 candidates (-39.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	75	7	82

Merged error: 0.0b

Counts

82 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

8.0ms	(- (- y (* (+ y 0.5) (log (sqrt y)))) (* (+ y 0.5) (log (sqrt y))))
4.0ms	(- y (* (+ y 0.5) (log (sqrt y))))
9.0ms	(* (+ y 0.5) (log (sqrt y)))
9.0ms	(* (+ y 0.5) (log (sqrt y)))

series43.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(- (- y (* (+ y 0.5) (log (sqrt y)))) (* (+ y 0.5) (log (sqrt y))))
13.0ms	(- y (* (+ y 0.5) (log (sqrt y))))
7.0ms	(* (+ y 0.5) (log (sqrt y)))
8.0ms	(* (+ y 0.5) (log (sqrt y)))

simplify938.0ms

Counts

140 → 140

Iterations

Useful iterations: done (934.0ms)

Iter	Nodes	Cost
0	225	2579
1	627	2327
2	2316	2064
done	5000	2054

prune185.0ms

Filtered

93 candidates to 140 candidates (-50.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	139	8	147

Merged error: 0b

Counts

147 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

8.0ms	(* (+ y 0.5) (log (cbrt y)))
12.0ms	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series237.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (+ y 0.5) (log (cbrt y)))
119.0ms	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
23.0ms	(cbrt y)
27.0ms	(cbrt y)

simplify817.0ms

Counts

98 → 98

Iterations

Useful iterations: 2 (243.0ms)

Iter	Nodes	Cost
0	186	1544
1	520	1402
2	1793	1139
done	5001	1139

prune135.0ms

Filtered

77 candidates to 98 candidates (-27.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	98	8	106

Merged error: 0b

Counts

106 → 8

regimes348.0ms

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

sample1.3s

Algorithm

intervals

Results

362.0ms	8036×	body	80	valid
317.0ms	7856×	body	80	nan

Details

sample48.0ms

simplify12.4s

prune3.0ms

localize10.0ms

rewrite24.0ms

series65.0ms

simplify747.0ms

prune120.0ms

localize9.0ms

rewrite21.0ms

series83.0ms

simplify761.0ms

prune102.0ms

localize15.0ms

rewrite35.0ms

series43.0ms

simplify938.0ms

prune185.0ms

localize15.0ms

rewrite26.0ms

series237.0ms

simplify817.0ms

prune135.0ms

regimes348.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling