Details

sample50.0ms

Algorithm

intervals

Results

11.0ms	257×	body	80	valid
11.0ms	266×	body	80	nan

simplify1.6s

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	489	12
5	1153	12
6	1912	12
7	3049	12
8	3739	12
9	4292	12
10	4939	12
done	5000	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

localize17.0ms

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)
8.0ms	(* (+ y 0.5) (log y))

series52.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
12.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
23.0ms	(* (+ y 0.5) (log y))

simplify443.0ms

Counts

72 → 72

Iterations

Useful iterations: done (441.0ms)

Iter	Nodes	Cost
0	159	1062
1	415	981
2	1287	876
done	5000	844

prune121.0ms

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

localize12.0ms

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))

series84.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(- (+ x (- y (* (+ y 0.5) (log y)))) z)
41.0ms	(- y (* (+ y 0.5) (log y)))
23.0ms	(* (+ y 0.5) (log y))

simplify427.0ms

Counts

74 → 74

Iterations

Useful iterations: done (424.0ms)

Iter	Nodes	Cost
0	161	1048
1	413	965
2	1335	845
done	5000	825

prune108.0ms

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

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

12.0ms	(- (- y (* (log (sqrt y)) (+ y 0.5))) (* (+ y 0.5) (log (sqrt y))))
3.0ms	(- y (* (log (sqrt y)) (+ y 0.5)))
8.0ms	(* (+ y 0.5) (log (sqrt y)))
8.0ms	(* (log (sqrt y)) (+ y 0.5))

series44.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify684.0ms

Counts

120 → 120

Iterations

Useful iterations: done (680.0ms)

Iter	Nodes	Cost
0	242	2289
1	676	2139
2	2591	1837
done	5001	1827

prune185.0ms

Filtered

88 candidates to 120 candidates (-36.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	119	8	127

Merged error: 0b

Counts

127 → 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)

rewrite30.0ms

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:

9.0ms	(* (+ y 0.5) (log (cbrt y)))
15.0ms	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series245.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* (+ y 0.5) (log (cbrt y)))
124.0ms	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
25.0ms	(cbrt y)
25.0ms	(cbrt y)

simplify794.0ms

Counts

98 → 98

Iterations

Useful iterations: 2 (162.0ms)

Iter	Nodes	Cost
0	186	1544
1	522	1410
2	1868	1137
done	5001	1137

prune136.0ms

Filtered

79 candidates to 98 candidates (-24.1%)

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

regimes364.0ms

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

370.0ms	8036×	body	80	valid
313.0ms	7856×	body	80	nan

Details

sample50.0ms

simplify1.6s

prune3.0ms

localize17.0ms

rewrite24.0ms

series52.0ms

simplify443.0ms

prune121.0ms

localize12.0ms

rewrite21.0ms

series84.0ms

simplify427.0ms

prune108.0ms

localize13.0ms

rewrite35.0ms

series44.0ms

simplify684.0ms

prune185.0ms

localize15.0ms

rewrite30.0ms

series245.0ms

simplify794.0ms

prune136.0ms

regimes364.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling