Details

sample24.0ms

Algorithm

intervals

Results

10.0ms

267×

body

valid

simplify750.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	12
1	25	12
2	64	12
3	116	12
4	173	12
5	212	12
6	247	12
7	263	12
8	303	12
9	363	12
10	483	12
11	1417	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: 21.3b

Counts

2 → 1

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
21.0b	(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
12×	`flip3-+` `flip-+`
9×	`pow1`
8×	`add-sqr-sqrt` `frac-times` `associate-/r/`
6×	`add-cube-cbrt` `swap-sqr` `distribute-lft-out`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `associate-r/` `div-exp` `associate-r` `associate-l` `associate-l/`
2×	`add-log-exp`
1×	`distribute-lft-neg-out` `pow2` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `times-frac` `pow-plus` `distribute-frac-neg` `pow-prod-down` `clear-num` `associate-/r` `pow-sqr` `-commutative` `pow-prod-up` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 70

Calls

2 calls:

10.0ms	(* (+ t1 u) (+ t1 u))
13.0ms	(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

series25.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* (+ t1 u) (+ t1 u))
20.0ms	(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

simplify508.0ms

Counts

76 → 76

Iterations

Useful iterations: 2 (123.0ms)

Iter	Nodes	Cost
0	111	1078
1	369	990
2	1751	840
done	5000	840

prune89.0ms

Filtered

43 candidates to 76 candidates (-76.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	70	6	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	6	77

Merged error: 0.0b

Counts

77 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.3b	(/ (* (neg t1) (/ v (+ t1 u))) (+ t1 u))
7.8b	(* (neg t1) (/ v (+ t1 u)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
29×	`times-frac`
25×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-r`
10×	`associate-l`
9×	`distribute-lft-out`
8×	`associate-/r*`
6×	`cbrt-undiv` `div-exp` `associate-/r/`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `flip3-+` `flip-+` `div-inv` `add-log-exp`
2×	`distribute-lft-neg-out` `frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`neg-mul-1` `distribute-frac-neg` `pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 107

Calls

3 calls:

6.0ms	(/ v (+ t1 u))
13.0ms	(/ (* (neg t1) (/ v (+ t1 u))) (+ t1 u))
13.0ms	(* (neg t1) (/ v (+ t1 u)))

series38.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/ v (+ t1 u))
19.0ms	(/ (* (neg t1) (/ v (+ t1 u))) (+ t1 u))
12.0ms	(* (neg t1) (/ v (+ t1 u)))

simplify658.0ms

Counts

116 → 116

Iterations

Useful iterations: 2 (349.0ms)

Iter	Nodes	Cost
0	136	1312
1	394	1236
2	1805	1090
done	5001	1090

prune119.0ms

Filtered

80 candidates to 116 candidates (-45.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	110	6	116
Fresh	4	1	5
Picked	0	1	1
Done	0	0	0
Total	114	8	122

Merged error: 0.0b

Counts

122 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ v (+ t1 u))
0.0b	(/ 1 (+ t1 u))
0.3b	(* (* (neg t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
7.8b	(* (neg t1) (/ v (+ t1 u)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity`
54×	`add-exp-log`
49×	`times-frac`
46×	`add-sqr-sqrt`
41×	`add-cube-cbrt`
36×	`associate-r`
34×	`add-cbrt-cube`
22×	`prod-exp`
14×	`div-exp` `distribute-lft-out`
12×	`pow1` `cbrt-unprod`
11×	`associate-l`
8×	`cbrt-undiv` `associate-/r*` `associate-/r/`
6×	`associate-/l*`
4×	`rec-exp` `flip3-+` `1-exp` `associate-*r/` `pow-prod-down` `flip-+` `div-inv` `add-log-exp`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`frac-2neg` `clear-num` `*-commutative` `unswap-sqr`
1×	`frac-times` `neg-mul-1` `pow-flip` `associate-*l/` `un-div-inv` `inv-pow`

Counts

4 → 167

Calls

4 calls:

6.0ms	(/ v (+ t1 u))
6.0ms	(/ 1 (+ t1 u))
20.0ms	(* (* (neg t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
13.0ms	(* (neg t1) (/ v (+ t1 u)))

series43.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ v (+ t1 u))
5.0ms	(/ 1 (+ t1 u))
19.0ms	(* (* (neg t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
12.0ms	(* (neg t1) (/ v (+ t1 u)))

simplify618.0ms

Counts

179 → 179

Iterations

Useful iterations: 2 (218.0ms)

Iter	Nodes	Cost
0	186	2148
1	558	1894
2	2647	1608
done	5000	1608

prune143.0ms

Filtered

109 candidates to 179 candidates (-64.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	179	8	187

Merged error: 0.0b

Counts

187 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ v (+ t1 u))
0.2b	(/ (+ t1 u) (* (neg t1) (/ v (+ t1 u))))
0.4b	(/ 1 (/ (+ t1 u) (* (neg t1) (/ v (+ t1 u)))))
7.8b	(* (neg t1) (/ v (+ t1 u)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

72×	`times-frac`
70×	`*-un-lft-identity`
54×	`add-exp-log`
49×	`add-sqr-sqrt`
44×	`add-cube-cbrt`
34×	`add-cbrt-cube`
26×	`div-exp`
18×	`associate-r`
14×	`cbrt-undiv` `associate-/r*`
13×	`distribute-lft-out`
10×	`associate-l` `prod-exp` `associate-/r/` `associate-/l*`
8×	`div-inv`
7×	`pow1`
6×	`associate-*r/` `cbrt-unprod`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `frac-2neg` `flip3-+` `clear-num` `flip-+`
2×	`associate-/l/` `unswap-sqr`
1×	`distribute-lft-neg-out` `neg-mul-1` `pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 174

Calls

4 calls:

6.0ms	(/ v (+ t1 u))
13.0ms	(/ (+ t1 u) (* (neg t1) (/ v (+ t1 u))))
14.0ms	(/ 1 (/ (+ t1 u) (* (neg t1) (/ v (+ t1 u)))))
13.0ms	(* (neg t1) (/ v (+ t1 u)))

series56.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ v (+ t1 u))
10.0ms	(/ (+ t1 u) (* (neg t1) (/ v (+ t1 u))))
27.0ms	(/ 1 (/ (+ t1 u) (* (neg t1) (/ v (+ t1 u)))))
12.0ms	(* (neg t1) (/ v (+ t1 u)))

simplify597.0ms

Counts

186 → 186

Iterations

Useful iterations: done (592.0ms)

Iter	Nodes	Cost
0	226	2713
1	605	2487
2	2546	2132
done	5001	2108

prune126.0ms

Filtered

112 candidates to 186 candidates (-66.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	184	2	186
Fresh	1	4	5
Picked	1	0	1
Done	1	1	2
Total	187	7	194

Merged error: 0.0b

Counts

194 → 7

regimes177.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	12	12
2	17	12
3	20	12
done	20	12

end0.0ms

sample629.0ms

Algorithm

intervals

Results

288.0ms

8278×

body

valid

Details

sample24.0ms

simplify750.0ms

prune3.0ms

localize15.0ms

rewrite25.0ms

series25.0ms

simplify508.0ms

prune89.0ms

localize7.0ms

rewrite36.0ms

series38.0ms

simplify658.0ms

prune119.0ms

localize9.0ms

rewrite51.0ms

series43.0ms

simplify618.0ms

prune143.0ms

localize9.0ms

rewrite53.0ms

series56.0ms

simplify597.0ms

prune126.0ms

regimes177.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample629.0ms

Profiling