Details

sample134.0ms

Algorithm

intervals

Results

50.0ms	85×	body	1280	valid
27.0ms	78×	body	640	valid
19.0ms	256×	body	80	valid
8.0ms	32×	body	320	valid
4.0ms	23×	body	160	valid

simplify1.1s

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite314.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

85.0ms	(+ (exp (- 0.0 im)) (exp im))
227.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series142.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (exp (- 0.0 im)) (exp im))
107.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify620.0ms

Counts: 41 → 41

prune189.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite269.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-cbrt-cube`
9×	`add-exp-log`
8×	`associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-l` `exp-sum` `*-commutative`
1×	`+-commutative` `sub-neg` `flip3-+` `exp-diff` `associate-*r/` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 51

Calls

3 calls:

124.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
103.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
41.0ms	(* (* 0.5 (sin re)) (exp im))

series251.0ms

Counts

3 → 9

Calls

3 calls:

134.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
60.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
57.0ms	(* (* 0.5 (sin re)) (exp im))

simplify788.0ms

Counts: 60 → 60

prune258.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im))))
0.0b	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
0.0b	(* (* 0.5 (sin re)) (sqrt (exp im)))
0.0b	(* (* (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im)))

rewrite448.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-cbrt-cube`
21×	`add-exp-log`
17×	`associate-r`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-prod` `add-log-exp`
3×	`associate-l` `*-commutative`
2×	`exp-sum`
1×	`+-commutative` `sub-neg` `flip3-+` `exp-diff` `associate-*r/` `sum-log` `flip-+`

Counts

4 → 77

Calls

4 calls:

104.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im))))
127.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
56.0ms	(* (* 0.5 (sin re)) (sqrt (exp im)))
157.0ms	(* (* (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im)))

series391.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im))))
89.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
89.0ms	(* (* 0.5 (sin re)) (sqrt (exp im)))
59.0ms	(* (* (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im)))

simplify987.0ms

Counts: 89 → 89

prune339.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (sqrt (exp im)))
0.0b	(* (* 0.5 (sin re)) (sqrt (sqrt (exp im))))
0.0b	(* (* (* (* 0.5 (sin re)) (sqrt (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (sqrt (exp im)))
0.0b	(* (* (* 0.5 (sin re)) (sqrt (sqrt (exp im)))) (sqrt (sqrt (exp im))))

rewrite827.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1`
32×	`add-exp-log` `add-cbrt-cube`
31×	`sqrt-prod`
24×	`associate-r`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
17×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1`
4×	`add-log-exp`
3×	`exp-prod` `associate-l` `*-commutative`
2×	`rem-sqrt-square` `pow1/2`

Counts

4 → 100

Calls

4 calls:

8.0ms	(sqrt (sqrt (exp im)))
58.0ms	(* (* 0.5 (sin re)) (sqrt (sqrt (exp im))))
575.0ms	(* (* (* (* 0.5 (sin re)) (sqrt (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (sqrt (exp im)))
178.0ms	(* (* (* 0.5 (sin re)) (sqrt (sqrt (exp im)))) (sqrt (sqrt (exp im))))

series437.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(sqrt (sqrt (exp im)))
98.0ms	(* (* 0.5 (sin re)) (sqrt (sqrt (exp im))))
74.0ms	(* (* (* (* 0.5 (sin re)) (sqrt (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (sqrt (exp im)))
105.0ms	(* (* (* 0.5 (sin re)) (sqrt (sqrt (exp im)))) (sqrt (sqrt (exp im))))

simplify861.0ms

Counts: 112 → 112

prune473.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes157.0ms

Accuracy

68.9% (0.0b remaining)

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

bsearch0.0ms

simplify1.9s

end0.0ms

sample7.0s

Algorithm

intervals

Results

2.5s	3040×	body	1280	valid
1.4s	8457×	body	80	valid
1.4s	2454×	body	640	valid
961.0ms	1180×	body	320	valid
132.0ms	629×	body	160	valid