Details

sample211.0ms

Algorithm

intervals

Results

66.0ms	862×	body	80	nan
25.0ms	295×	body	80	valid
0.0ms	1×	body	160	valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	21
1	38	21
2	97	21
3	363	21
4	1202	21
5	2958	21
6	4505	21
done	5000	21

prune6.0ms

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

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.0b	(+ (* x (log y)) z)
0.1b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

22.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
6.0ms	(+ (* x (log y)) z)
8.0ms	(* (- b 0.5) (log c))
5.0ms	(* x (log y))

series111.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
13.0ms	(+ (* x (log y)) z)
11.0ms	(* (- b 0.5) (log c))
8.0ms	(* x (log y))

simplify606.0ms

Counts

108 → 108

Iterations

Useful iterations: done (603.0ms)

Iter	Nodes	Cost
0	253	1673
1	668	1584
2	2268	1450
done	5000	1434

prune188.0ms

Filtered

81 candidates to 108 candidates (-33.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	102	6	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	6	109

Merged error: 0.0b

Counts

109 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5))) (* (- b 0.5) (log (sqrt c))))
0.1b	(* (- b 0.5) (log (sqrt c)))
0.1b	(* (log (sqrt c)) (- b 0.5))
0.3b	(* x (log y))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 131

Calls

4 calls:

23.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5))) (* (- b 0.5) (log (sqrt c))))
9.0ms	(* (- b 0.5) (log (sqrt c)))
8.0ms	(* (log (sqrt c)) (- b 0.5))
5.0ms	(* x (log y))

series128.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5))) (* (- b 0.5) (log (sqrt c))))
8.0ms	(* (- b 0.5) (log (sqrt c)))
10.0ms	(* (log (sqrt c)) (- b 0.5))
12.0ms	(* x (log y))

simplify1.0s

Counts

143 → 143

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	342	3750
1	1017	3545
2	4182	3213
done	5000	3212

prune255.0ms

Filtered

104 candidates to 143 candidates (-37.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	141	2	143
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	142	7	149

Merged error: 0.0b

Counts

149 → 7

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (sqrt c))
0.2b	(sqrt (sqrt c))
0.3b	(+ (log (sqrt c)) (log (sqrt (sqrt c))))
0.3b	(* x (log y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

32×	`sqrt-prod`
26×	`pow1`
25×	`log-pow`
23×	`add-sqr-sqrt` `*-un-lft-identity`
21×	`log-prod` `sqrt-pow1`
17×	`add-cube-cbrt`
13×	`pow1/2`
9×	`associate-+r+`
8×	`distribute-rgt-out`
6×	`add-exp-log` `associate-+l+` `add-cbrt-cube` `distribute-lft-out`
4×	`rem-sqrt-square` `associate-r` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
2×	`distribute-rgt1-in`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

2.0ms	(sqrt (sqrt c))
2.0ms	(sqrt (sqrt c))
10.0ms	(+ (log (sqrt c)) (log (sqrt (sqrt c))))
5.0ms	(* x (log y))

series54.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(sqrt (sqrt c))
18.0ms	(sqrt (sqrt c))
12.0ms	(+ (log (sqrt c)) (log (sqrt (sqrt c))))
8.0ms	(* x (log y))

simplify674.0ms

Counts

117 → 117

Iterations

Useful iterations: done (671.0ms)

Iter	Nodes	Cost
0	191	973
1	393	870
2	873	763
3	2419	712
done	5000	708

prune176.0ms

Filtered

70 candidates to 117 candidates (-67.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	117	7	124

Merged error: 0.0b

Counts

124 → 7

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* 1/2 (* (log c) (- b 0.5)))) (* (- b 0.5) (log (sqrt c))))
0.1b	(* (- b 0.5) (log (sqrt c)))
0.1b	(* (log c) (- b 0.5))
0.3b	(* x (log y))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 129

Calls

4 calls:

22.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* 1/2 (* (log c) (- b 0.5)))) (* (- b 0.5) (log (sqrt c))))
9.0ms	(* (- b 0.5) (log (sqrt c)))
8.0ms	(* (log c) (- b 0.5))
6.0ms	(* x (log y))

series180.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* 1/2 (* (log c) (- b 0.5)))) (* (- b 0.5) (log (sqrt c))))
14.0ms	(* (- b 0.5) (log (sqrt c)))
17.0ms	(* (log c) (- b 0.5))
8.0ms	(* x (log y))

simplify1.2s

Counts

141 → 141

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	380	3804
1	1146	3606
2	4700	3312
done	5000	3302

prune221.0ms

Filtered

105 candidates to 141 candidates (-34.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	141	7	148

Merged error: 0.0b

Counts

148 → 7

regimes1.5s

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: 0 (1.0ms)

Iter	Nodes	Cost
0	26	36
1	37	36
done	37	36

end0.0ms

sample6.7s

Algorithm

intervals

Results

2.2s	27762×	body	80	nan
1.0s	9186×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Details

sample211.0ms

simplify1.5s

prune6.0ms

localize20.0ms

rewrite45.0ms

series111.0ms

simplify606.0ms

prune188.0ms

localize22.0ms

rewrite51.0ms

series128.0ms

simplify1.0s

prune255.0ms

localize33.0ms

rewrite24.0ms

series54.0ms

simplify674.0ms

prune176.0ms

localize30.0ms

rewrite50.0ms

series180.0ms

simplify1.2s

prune221.0ms

regimes1.5s

bsearch0.0ms

simplify3.0ms

end0.0ms

sample6.7s

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