Details

sample135.0ms

Algorithm

intervals

Results

47.0ms	91×	body	1280	valid
32.0ms	75×	body	640	valid
19.0ms	288×	body	80	valid
10.0ms	46×	body	320	valid
3.0ms	21×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	23	11
2	57	11
3	89	11
4	119	11
5	153	11
6	217	11
7	346	11
8	382	11
9	418	11
10	474	11
done	474	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

90.0ms

(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series93.0ms

Counts

1 → 3

Calls

1 calls:

93.0ms

(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify3.7s

Counts

26 → 26

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	73	391
1	210	381
2	920	311
3	4153	308
done	5000	308

prune98.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
0.0b	(/ (* 0.5 (cos re)) (exp im))
0.0b	(* (* 0.5 (cos re)) (exp im))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

43.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
23.0ms	(/ (* 0.5 (cos re)) (exp im))
47.0ms	(* (* 0.5 (cos re)) (exp im))

series224.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
47.0ms	(/ (* 0.5 (cos re)) (exp im))
59.0ms	(* (* 0.5 (cos re)) (exp im))

simplify1.5s

Counts

60 → 60

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	103	800
1	282	721
2	1220	660
done	5001	615

prune165.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp im))
0.0b	(/ 0.5 (sqrt (exp im)))
0.0b	(* (* 0.5 (cos re)) (exp im))
0.0b	(* (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

79×	`add-sqr-sqrt`
66×	`times-frac`
48×	`add-cube-cbrt` `*-un-lft-identity`
39×	`sqrt-prod`
25×	`associate-r`
23×	`associate-l` `add-cbrt-cube`
21×	`add-exp-log`
12×	`pow1`
9×	`unswap-sqr`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-/r*`
5×	`cbrt-undiv` `div-exp`
4×	`sqrt-pow1` `pow-prod-down` `add-log-exp`
3×	`exp-prod` `div-inv` `associate-/l*`
2×	`*-commutative`
1×	`frac-times` `rem-sqrt-square` `frac-2neg` `pow1/2` `associate-r/` `associate-l/` `clear-num`

Counts

4 → 146

Calls

4 calls:

3.0ms	(sqrt (exp im))
9.0ms	(/ 0.5 (sqrt (exp im)))
34.0ms	(* (* 0.5 (cos re)) (exp im))
65.0ms	(* (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))))

series189.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(sqrt (exp im))
56.0ms	(/ 0.5 (sqrt (exp im)))
59.0ms	(* (* 0.5 (cos re)) (exp im))
53.0ms	(* (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))))

simplify1.8s

Counts

158 → 158

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	208	2050
1	549	1914
2	1772	1651
done	5000	1640

prune436.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes56.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	12	15
done	12	15

end0.0ms

sample6.4s

Algorithm

intervals

Results

2.3s	3012×	body	1280	valid
2.0s	2440×	body	640	valid
1.0s	8611×	body	80	valid
364.0ms	1198×	body	320	valid
99.0ms	577×	body	160	valid