Details

sample44.0ms

Algorithm

intervals

Results

11.0ms	257×	body	80	valid
10.0ms	266×	body	80	nan

simplify2.0s

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	493	12
5	999	12
6	1759	12
7	3414	12
8	4796	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

localize9.0ms

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))

rewrite23.0ms

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:

8.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
6.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
7.0ms	(* (+ y 0.5) (log y))

series58.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
12.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
29.0ms	(* (+ y 0.5) (log y))

simplify441.0ms

Counts

72 → 72

Iterations

Useful iterations: done (439.0ms)

Iter	Nodes	Cost
0	159	1062
1	415	986
2	1370	880
done	5001	849

prune119.0ms

Filtered

50 candidates to 72 candidates (-44.0%)

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))

series82.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(- (+ x (- y (* (+ y 0.5) (log y)))) z)
39.0ms	(- y (* (+ y 0.5) (log y)))
23.0ms	(* (+ y 0.5) (log y))

simplify426.0ms

Counts

74 → 74

Iterations

Useful iterations: done (424.0ms)

Iter	Nodes	Cost
0	161	1048
1	413	969
2	1381	847
done	5001	829

prune102.0ms

Filtered

54 candidates to 74 candidates (-37.0%)

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))

rewrite33.0ms

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:

8.0ms	(- (- 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)))
10.0ms	(* (log (sqrt y)) (+ y 0.5))

series46.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (- 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)))
8.0ms	(* (log (sqrt y)) (+ y 0.5))

simplify694.0ms

Counts

120 → 120

Iterations

Useful iterations: done (690.0ms)

Iter	Nodes	Cost
0	242	2289
1	676	2150
2	2783	1850
done	5000	1830

prune182.0ms

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

localize18.0ms

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)

rewrite27.0ms

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)

series238.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (+ y 0.5) (log (cbrt y)))
123.0ms	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
24.0ms	(cbrt y)
24.0ms	(cbrt y)

simplify551.0ms

Counts

98 → 98

Iterations

Useful iterations: done (548.0ms)

Iter	Nodes	Cost
0	186	1544
1	522	1411
2	1954	1154
done	5000	1149

prune140.0ms

Filtered

80 candidates to 98 candidates (-22.5%)

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

regimes354.0ms

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

354.0ms	8036×	body	80	valid
303.0ms	7856×	body	80	nan

Details

sample44.0ms

simplify2.0s

prune3.0ms

localize9.0ms

rewrite23.0ms

series58.0ms

simplify441.0ms

prune119.0ms

localize12.0ms

rewrite21.0ms

series82.0ms

simplify426.0ms

prune102.0ms

localize13.0ms

rewrite33.0ms

series46.0ms

simplify694.0ms

prune182.0ms

localize18.0ms

rewrite27.0ms

series238.0ms

simplify551.0ms

prune140.0ms

regimes354.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling