Details

sample155.0ms

Algorithm

intervals

Results

69.0ms	154×	body	1280	valid
35.0ms	127×	body	640	valid
11.0ms	57×	body	320	valid
10.0ms	162×	body	80	valid
3.0ms	27×	body	160	valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	18	11
2	39	11
3	75	11
4	110	11
5	261	11
6	394	11
7	566	11
8	1081	11
9	1586	11
10	1622	11
11	1743	11
12	1762	11
done	1762	11

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: 45.5b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
6.8b	(- (exp (neg im)) (exp im))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube`
5×	`associate-r`
4×	`add-log-exp`
3×	`add-cube-cbrt` `sub-neg` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

2 → 40

Calls

2 calls:

14.0ms	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
6.0ms	(- (exp (neg im)) (exp im))

series22.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
6.0ms	(- (exp (neg im)) (exp im))

simplify2.1s

Counts

46 → 46

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	92	614
1	240	596
2	864	504
3	3366	502
done	5000	502

prune80.0ms

Filtered

29 candidates to 46 candidates (-58.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	43	3	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	3	47

Merged error: 0.1b

Counts

47 → 3

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b	(* 1/60 (pow im 5))
0.1b	(* (* 0.5 (sin re)) (- (* -2 im) (+ (* 1/3 (pow im 3)) (* 1/60 (pow im 5)))))
0.1b	(* 1/3 (pow im 3))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
22×	`associate-r`
18×	`add-exp-log`
12×	`add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`prod-exp`
8×	`pow1` `unpow-prod-down`
7×	`associate-l` `unswap-sqr`
5×	`cbrt-unprod`
4×	`cube-prod` `sqr-pow`
3×	`pow-prod-down` `*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `pow-to-exp` `sub-neg` `distribute-lft-in` `associate-*r/` `pow-exp`
1×	`cube-mult` `flip3--` `unpow3` `flip--`

Counts

3 → 80

Calls

3 calls:

6.0ms	(* 1/60 (pow im 5))
12.0ms	(* (* 0.5 (sin re)) (- (* -2 im) (+ (* 1/3 (pow im 3)) (* 1/60 (pow im 5)))))
7.0ms	(* 1/3 (pow im 3))

series47.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* 1/60 (pow im 5))
38.0ms	(* (* 0.5 (sin re)) (- (* -2 im) (+ (* 1/3 (pow im 3)) (* 1/60 (pow im 5)))))
4.0ms	(* 1/3 (pow im 3))

simplify853.0ms

Counts

89 → 89

Iterations

Useful iterations: 2 (227.0ms)

Iter	Nodes	Cost
0	165	1201
1	424	1128
2	1432	982
done	5000	982

prune182.0ms

Filtered

54 candidates to 89 candidates (-64.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	82	7	89
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	83	9	92

Merged error: 0.0b

Counts

92 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow im 5) -1/60)
0.1b	(* (* -2 im) (* 0.5 (sin re)))
0.1b	(* (* 0.5 (sin re)) (+ (* (pow im 5) -1/60) (* -1/3 (pow im 3))))
0.1b	(* -1/3 (pow im 3))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
25×	`add-cbrt-cube`
24×	`add-sqr-sqrt`
21×	`pow1`
19×	`associate-r`
17×	`prod-exp`
13×	`cbrt-unprod`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
11×	`pow-prod-down`
8×	`unpow-prod-down`
7×	`unswap-sqr`
4×	`cube-prod` `*-commutative` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `associate-*r/` `pow-exp`
1×	`distribute-rgt-in` `cube-mult` `distribute-lft-in` `flip3-+` `unpow3` `flip-+`

Counts

4 → 100

Calls

4 calls:

6.0ms	(* (pow im 5) -1/60)
7.0ms	(* (* -2 im) (* 0.5 (sin re)))
10.0ms	(* (* 0.5 (sin re)) (+ (* (pow im 5) -1/60) (* -1/3 (pow im 3))))
7.0ms	(* -1/3 (pow im 3))

series74.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (pow im 5) -1/60)
9.0ms	(* (* -2 im) (* 0.5 (sin re)))
56.0ms	(* (* 0.5 (sin re)) (+ (* (pow im 5) -1/60) (* -1/3 (pow im 3))))
4.0ms	(* -1/3 (pow im 3))

simplify1.1s

Counts

112 → 112

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	195	1334
1	537	1219
2	2130	1049
done	5001	1045

prune211.0ms

Filtered

68 candidates to 112 candidates (-64.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	112	9	121

Merged error: 0.0b

Counts

121 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* -2 im) (* 0.5 (sin re)))) (cbrt (* (* -2 im) (* 0.5 (sin re)))))
12.4b	(cbrt (* (* -2 im) (* 0.5 (sin re))))
12.4b	(cbrt (* (* -2 im) (* 0.5 (sin re))))
12.4b	(cbrt (* (* -2 im) (* 0.5 (sin re))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

9.0ms	(* (cbrt (* (* -2 im) (* 0.5 (sin re)))) (cbrt (* (* -2 im) (* 0.5 (sin re)))))
7.0ms	(cbrt (* (* -2 im) (* 0.5 (sin re))))
6.0ms	(cbrt (* (* -2 im) (* 0.5 (sin re))))
6.0ms	(cbrt (* (* -2 im) (* 0.5 (sin re))))

series139.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (cbrt (* (* -2 im) (* 0.5 (sin re)))) (cbrt (* (* -2 im) (* 0.5 (sin re)))))
31.0ms	(cbrt (* (* -2 im) (* 0.5 (sin re))))
33.0ms	(cbrt (* (* -2 im) (* 0.5 (sin re))))
30.0ms	(cbrt (* (* -2 im) (* 0.5 (sin re))))

simplify1.3s

Counts

70 → 70

Iterations

Useful iterations: 3 (378.0ms)

Iter	Nodes	Cost
0	104	1232
1	230	1121
2	679	967
3	2542	808
done	5000	808

prune231.0ms

Filtered

56 candidates to 70 candidates (-25.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	70	9	79

Merged error: 0.0b

Counts

79 → 9

regimes369.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	25
1	27	25
done	27	25

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.2s	4760×	body	1280	valid
1.1s	3837×	body	640	valid
352.0ms	1856×	body	320	valid
274.0ms	4547×	body	80	valid
139.0ms	1025×	body	160	valid

Details

sample155.0ms

simplify3.3s

prune3.0ms

localize10.0ms

rewrite22.0ms

series22.0ms

simplify2.1s

prune80.0ms

localize15.0ms

rewrite27.0ms

series47.0ms

simplify853.0ms

prune182.0ms

localize17.0ms

rewrite33.0ms

series74.0ms

simplify1.1s

prune211.0ms

localize23.0ms

rewrite29.0ms

series139.0ms

simplify1.3s

prune231.0ms

regimes369.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample4.6s

Profiling