Details

sample194.0ms

Algorithm

intervals

Results

65.0ms	84×	body	1280	valid
42.0ms	81×	body	640	valid
31.0ms	293×	body	80	valid
17.0ms	50×	body	320	valid
4.0ms	20×	body	160	valid

simplify1.3s

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite206.0ms

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:

204.0ms

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

series109.0ms

Counts

1 → 3

Calls

1 calls:

109.0ms

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

simplify650.0ms

Counts: 26 → 26

prune93.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize26.0ms

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))

rewrite225.0ms

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:

74.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
120.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
29.0ms	(* (* 0.5 (sin re)) (exp im))

series262.0ms

Counts

3 → 9

Calls

3 calls:

147.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
52.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
62.0ms	(* (* 0.5 (sin re)) (exp im))

simplify970.0ms

Counts: 60 → 60

prune185.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (+ (exp (- 0.0 im)) (exp im)))
0.0b	(log (* 0.5 (sin re)))
0.3b	(+ (log (* 0.5 (sin re))) (log (+ (exp (- 0.0 im)) (exp im))))
1.5b	(exp (+ (log (* 0.5 (sin re))) (log (+ (exp (- 0.0 im)) (exp im)))))

rewrite283.0ms

Algorithm

rewrite-expression-head

Rules

26×	`pow1`
21×	`*-un-lft-identity`
17×	`log-pow`
14×	`distribute-lft-out`
10×	`log-prod`
9×	`exp-prod`
8×	`add-exp-log`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`log-div`
5×	`pow-prod-down` `add-log-exp`
4×	`associate-+r-` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+`
3×	`rem-log-exp`
2×	`exp-diff` `sum-log` `rem-exp-log`
1×	`+-commutative` `associate-+l+` `exp-sum` `prod-exp`

Counts

4 → 72

Calls

4 calls:

67.0ms	(log (+ (exp (- 0.0 im)) (exp im)))
15.0ms	(log (* 0.5 (sin re)))
92.0ms	(+ (log (* 0.5 (sin re))) (log (+ (exp (- 0.0 im)) (exp im))))
104.0ms	(exp (+ (log (* 0.5 (sin re))) (log (+ (exp (- 0.0 im)) (exp im)))))

series601.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(log (+ (exp (- 0.0 im)) (exp im)))
162.0ms	(log (* 0.5 (sin re)))
155.0ms	(+ (log (* 0.5 (sin re))) (log (+ (exp (- 0.0 im)) (exp im))))
183.0ms	(exp (+ (log (* 0.5 (sin re))) (log (+ (exp (- 0.0 im)) (exp im)))))

simplify1.8s

Counts: 84 → 84

prune313.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes150.0ms

Accuracy

161.3% (-0.0b remaining)

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

bsearch0.0ms

simplify972.0ms

end0.0ms

sample6.6s

Algorithm

intervals

Results

2.3s	2937×	body	1280	valid
2.0s	2402×	body	640	valid
977.0ms	8509×	body	80	valid
420.0ms	1258×	body	320	valid
241.0ms	660×	body	160	valid