Details

sample80.0ms

Algorithm

intervals

Results

28.0ms	59×	body	1280	valid
13.0ms	44×	body	640	valid
9.0ms	121×	body	80	valid
6.0ms	256×	pre	80	true
4.0ms	19×	body	320	valid
2.0ms	13×	body	160	valid

simplify27.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	9	11
1	14	11
2	18	11
3	21	11
4	22	11
done	22	11

prune5.0ms

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

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sin v)
0.0b	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
0.1b	(* e (sin v))
0.1b	(* e (cos v))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1`
6×	`associate-r` `associate-l`
4×	`add-log-exp`
3×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 66

Calls

4 calls:

2.0ms	(sin v)
6.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
4.0ms	(* e (sin v))
6.0ms	(* e (cos v))

series50.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(sin v)
22.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
9.0ms	(* e (sin v))
17.0ms	(* e (cos v))

simplify1.1s

Counts

78 → 78

Iterations

Useful iterations: 3 (501.0ms)

Iter	Nodes	Cost
0	127	770
1	329	747
2	1087	661
3	4063	646
done	5000	646

prune122.0ms

Filtered

61 candidates to 78 candidates (-27.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	71	7	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	71	8	79

Merged error: 0.0b

Counts

79 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sin v)
0.1b	(/ (+ 1.0 (* e (cos v))) (sin v))
0.1b	(* e (cos v))
0.2b	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
58×	`add-sqr-sqrt`
56×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
13×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 124

Calls

4 calls:

2.0ms	(sin v)
6.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
5.0ms	(* e (cos v))
8.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series53.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(sin v)
17.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
11.0ms	(* e (cos v))
22.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify481.0ms

Counts

136 → 136

Iterations

Useful iterations: done (476.0ms)

Iter	Nodes	Cost
0	231	2298
1	547	2216
2	1823	2083
done	5000	2071

prune182.0ms

Filtered

111 candidates to 136 candidates (-22.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	134	2	136
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	136	8	144

Merged error: 0b

Counts

144 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.3b	(* (sqrt e) (sin v))
0.3b	(* (sqrt e) (* (sqrt e) (sin v)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
15×	`associate-l`
13×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
8×	`prod-exp` `cbrt-unprod`
7×	`associate-r` `sqrt-prod`
5×	`pow-prod-down`
4×	`add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/r` `-commutative` `unswap-sqr`
2×	`associate-/r/`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 86

Calls

4 calls:

11.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
5.0ms	(* e (cos v))
6.0ms	(* (sqrt e) (sin v))
8.0ms	(* (sqrt e) (* (sqrt e) (sin v)))

series67.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
8.0ms	(* e (cos v))
14.0ms	(* (sqrt e) (sin v))
11.0ms	(* (sqrt e) (* (sqrt e) (sin v)))

simplify597.0ms

Counts

98 → 98

Iterations

Useful iterations: done (594.0ms)

Iter	Nodes	Cost
0	198	1359
1	572	1150
2	2510	1002
done	5000	974

prune112.0ms

Filtered

68 candidates to 98 candidates (-44.1%)

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

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (sin v))
0.1b	(* e (cos v))
0.2b	(/ (+ 1.0 (* e (cos v))) (* e (sin v)))
0.9b	(/ 1 (/ (+ 1.0 (* e (cos v))) (* e (sin v))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
34×	`add-exp-log`
30×	`add-sqr-sqrt`
26×	`add-cube-cbrt` `*-un-lft-identity`
22×	`add-cbrt-cube`
14×	`div-exp`
9×	`pow1`
8×	`associate-/r*`
7×	`cbrt-undiv`
6×	`associate-r` `associate-l` `prod-exp` `div-inv` `associate-/l*`
4×	`cbrt-unprod` `add-log-exp`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `pow-prod-down` `clear-num` `*-commutative` `associate-/l/` `unswap-sqr`
1×	`pow-flip` `flip3-+` `associate-/r/` `flip-+` `inv-pow`

Counts

4 → 115

Calls

4 calls:

5.0ms	(* e (sin v))
5.0ms	(* e (cos v))
10.0ms	(/ (+ 1.0 (* e (cos v))) (* e (sin v)))
8.0ms	(/ 1 (/ (+ 1.0 (* e (cos v))) (* e (sin v))))

series59.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* e (sin v))
7.0ms	(* e (cos v))
22.0ms	(/ (+ 1.0 (* e (cos v))) (* e (sin v)))
22.0ms	(/ 1 (/ (+ 1.0 (* e (cos v))) (* e (sin v))))

simplify757.0ms

Counts

127 → 127

Iterations

Useful iterations: done (753.0ms)

Iter	Nodes	Cost
0	198	1903
1	495	1799
2	1707	1565
done	5000	1515

prune115.0ms

Filtered

83 candidates to 127 candidates (-53.0%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	127	8	135

Merged error: 0b

Counts

135 → 8

regimes178.0ms

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	9	11
1	12	11
done	12	11

end0.0ms

sample2.0s

Algorithm

intervals

Results

697.0ms	1535×	body	1280	valid
354.0ms	1228×	body	640	valid
307.0ms	4304×	body	80	valid
155.0ms	8000×	pre	80	true
137.0ms	641×	body	320	valid
42.0ms	292×	body	160	valid

Details

sample80.0ms

simplify27.0ms

prune5.0ms

localize12.0ms

rewrite22.0ms

series50.0ms

simplify1.1s

prune122.0ms

localize10.0ms

rewrite26.0ms

series53.0ms

simplify481.0ms

prune182.0ms

localize13.0ms

rewrite32.0ms

series67.0ms

simplify597.0ms

prune112.0ms

localize12.0ms

rewrite31.0ms

series59.0ms

simplify757.0ms

prune115.0ms

regimes178.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.0s

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