Details

sample204.0ms

Algorithm

intervals

Results

72.0ms	862×	body	80	nan
24.0ms	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	1199	21
5	2940	21
6	4432	21
done	5000	21

prune13.0ms

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

localize19.0ms

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))

rewrite38.0ms

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:

16.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
6.0ms	(+ (* x (log y)) z)
8.0ms	(* (- b 0.5) (log c))
6.0ms	(* x (log y))

series103.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
12.0ms	(+ (* x (log y)) z)
10.0ms	(* (- b 0.5) (log c))
8.0ms	(* x (log y))

simplify621.0ms

Counts

108 → 108

Iterations

Useful iterations: done (610.0ms)

Iter	Nodes	Cost
0	253	1673
1	668	1577
2	2249	1437
done	5001	1433

prune182.0ms

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

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:

22.0ms	(+ (+ (+ (+ (+ (* 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))

series117.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5))) (* (- b 0.5) (log (sqrt c))))
11.0ms	(* (- b 0.5) (log (sqrt c)))
9.0ms	(* (log (sqrt c)) (- b 0.5))
8.0ms	(* x (log y))

simplify1.0s

Counts

143 → 143

Iterations

Useful iterations: 2 (321.0ms)

Iter	Nodes	Cost
0	342	3750
1	1017	3528
2	4045	3195
done	5001	3195

prune235.0ms

Filtered

98 candidates to 143 candidates (-45.9%)

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

localize27.0ms

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))

rewrite26.0ms

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

series52.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(sqrt (sqrt c))
16.0ms	(sqrt (sqrt c))
12.0ms	(+ (log (sqrt c)) (log (sqrt (sqrt c))))
8.0ms	(* x (log y))

simplify628.0ms

Counts

117 → 117

Iterations

Useful iterations: 3 (236.0ms)

Iter	Nodes	Cost
0	191	973
1	393	869
2	904	752
3	2336	707
done	5000	707

prune167.0ms

Filtered

69 candidates to 117 candidates (-69.6%)

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))

series168.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* 1/2 (* (log c) (- b 0.5)))) (* (- b 0.5) (log (sqrt c))))
7.0ms	(* (- b 0.5) (log (sqrt c)))
16.0ms	(* (log c) (- b 0.5))
8.0ms	(* x (log y))

simplify1.1s

Counts

141 → 141

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	380	3804
1	1146	3595
2	4591	3295
done	5000	3293

prune196.0ms

Filtered

100 candidates to 141 candidates (-41.0%)

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

sample6.2s

Algorithm

intervals

Results

2.1s	27762×	body	80	nan
774.0ms	9186×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Details

sample204.0ms

simplify1.5s

prune13.0ms

localize19.0ms

rewrite38.0ms

series103.0ms

simplify621.0ms

prune182.0ms

localize22.0ms

rewrite51.0ms

series117.0ms

simplify1.0s

prune235.0ms

localize27.0ms

rewrite26.0ms

series52.0ms

simplify628.0ms

prune167.0ms

localize30.0ms

rewrite50.0ms

series168.0ms

simplify1.1s

prune196.0ms

regimes1.5s

bsearch0.0ms

simplify3.0ms

end0.0ms

sample6.2s

Profiling