Details

sample198.0ms

Algorithm

intervals

Results

62.0ms	862×	body	80	nan
27.0ms	295×	body	80	valid
0.0ms	1×	body	160	valid

simplify9.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	21
1	38	21
2	97	21
3	358	21
4	1166	21
5	2714	21
6	4051	21
done	5001	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

localize18.0ms

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))

rewrite37.0ms

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:

15.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
5.0ms	(+ (* x (log y)) z)
8.0ms	(* (- b 0.5) (log c))
5.0ms	(* x (log y))

series103.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
12.0ms	(+ (* x (log y)) z)
13.0ms	(* (- b 0.5) (log c))
8.0ms	(* x (log y))

simplify871.0ms

Counts

108 → 108

Iterations

Useful iterations: done (868.0ms)

Iter	Nodes	Cost
0	253	1673
1	652	1577
2	2129	1449
done	5000	1445

prune178.0ms

Filtered

79 candidates to 108 candidates (-36.7%)

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

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 139

Calls

4 calls:

22.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log (sqrt c)))) (* (- b 0.5) (log (sqrt c))))
9.0ms	(* (- b 0.5) (log (sqrt c)))
9.0ms	(* (- b 0.5) (log (sqrt c)))
5.0ms	(* x (log y))

series113.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log (sqrt c)))) (* (- b 0.5) (log (sqrt c))))
8.0ms	(* (- b 0.5) (log (sqrt c)))
10.0ms	(* (- b 0.5) (log (sqrt c)))
7.0ms	(* x (log y))

simplify1.0s

Counts

151 → 151

Iterations

Useful iterations: 2 (334.0ms)

Iter	Nodes	Cost
0	312	3902
1	945	3576
2	3663	3323
done	5001	3323

prune235.0ms

Filtered

101 candidates to 151 candidates (-49.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	149	2	151
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	151	6	157

Merged error: 0.0b

Counts

157 → 6

localize26.0ms

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))

rewrite23.0ms

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:

3.0ms	(sqrt (sqrt c))
3.0ms	(sqrt (sqrt c))
9.0ms	(+ (log (sqrt c)) (log (sqrt (sqrt c))))
5.0ms	(* x (log y))

series54.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(sqrt (sqrt c))
19.0ms	(sqrt (sqrt c))
11.0ms	(+ (log (sqrt c)) (log (sqrt (sqrt c))))
7.0ms	(* x (log y))

simplify1.2s

Counts

117 → 117

Iterations

Useful iterations: 3 (507.0ms)

Iter	Nodes	Cost
0	191	973
1	389	838
2	819	752
3	2466	705
done	5000	705

prune157.0ms

Filtered

69 candidates to 117 candidates (-69.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	117	6	123

Merged error: 0.0b

Counts

123 → 6

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log y))
0.3b	(+ (* (log (fabs (cbrt c))) (- b 0.5)) (* (log (sqrt (cbrt c))) (- b 0.5)))
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

5.0ms	(* x (log y))
10.0ms	(+ (* (log (fabs (cbrt c))) (- b 0.5)) (* (log (sqrt (cbrt c))) (- b 0.5)))
2.0ms	(cbrt c)
2.0ms	(cbrt c)

series156.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* x (log y))
100.0ms	(+ (* (log (fabs (cbrt c))) (- b 0.5)) (* (log (sqrt (cbrt c))) (- b 0.5)))
23.0ms	(cbrt c)
25.0ms	(cbrt c)

simplify661.0ms

Counts

83 → 83

Iterations

Useful iterations: done (658.0ms)

Iter	Nodes	Cost
0	202	1192
1	519	1066
2	1518	943
done	5001	886

prune130.0ms

Filtered

63 candidates to 83 candidates (-31.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	83	6	89

Merged error: 0.0b

Counts

89 → 6

regimes1.4s

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 (0.0ms)

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

end0.0ms

sample6.1s

Algorithm

intervals

Results

2.1s	27762×	body	80	nan
758.0ms	9186×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Details

sample198.0ms

simplify9.4s

prune6.0ms

localize18.0ms

rewrite37.0ms

series103.0ms

simplify871.0ms

prune178.0ms

localize20.0ms

rewrite51.0ms

series113.0ms

simplify1.0s

prune235.0ms

localize26.0ms

rewrite23.0ms

series54.0ms

simplify1.2s

prune157.0ms

localize32.0ms

rewrite20.0ms

series156.0ms

simplify661.0ms

prune130.0ms

regimes1.4s

bsearch0.0ms

simplify3.0ms

end0.0ms

sample6.1s

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