Details

sample118.0ms

Algorithm

intervals

Results

38.0ms	82×	body	1280	valid
29.0ms	269×	body	80	valid
21.0ms	77×	body	640	valid
8.0ms	41×	body	320	valid
2.0ms	17×	body	160	valid

simplify64.0ms

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)))

rewrite175.0ms

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:

42.0ms	(+ (exp (- 0.0 im)) (exp im))
132.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series101.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ (exp (- 0.0 im)) (exp im))
76.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify38.0ms

Counts: 41 → 41

prune111.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp (* -1 im)) (exp im))
0.0b	(* (+ (exp (* -1 im)) (exp im)) (sin re))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

12.0ms	(+ (exp (* -1 im)) (exp im))
47.0ms	(* (+ (exp (* -1 im)) (exp im)) (sin re))

series90.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (exp (* -1 im)) (exp im))
63.0ms	(* (+ (exp (* -1 im)) (exp im)) (sin re))

simplify88.0ms

Counts: 39 → 39

prune99.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (* -1 im)) (exp im))
0.0b	(* (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (sin re))
0.0b	(cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))
0.0b	(pow (+ (exp (* -1 im)) (exp im)) 3)

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
29×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
17×	`associate-l`
15×	`add-cube-cbrt`
13×	`unpow-prod-down` `cube-prod`
7×	`pow1` `add-exp-log` `distribute-lft-out`
6×	`cube-div` `add-cbrt-cube` `add-log-exp`
5×	`unswap-sqr`
4×	`cbrt-div` `flip3-+` `flip-+` `sqr-pow`
3×	`cube-mult` `pow-unpow` `unpow3` `associate-r`
2×	`associate-*l/`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 102

Calls

4 calls:

11.0ms	(+ (exp (* -1 im)) (exp im))
80.0ms	(* (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (sin re))
17.0ms	(cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))
18.0ms	(pow (+ (exp (* -1 im)) (exp im)) 3)

series167.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (exp (* -1 im)) (exp im))
62.0ms	(* (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)) (sin re))
27.0ms	(cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))
51.0ms	(pow (+ (exp (* -1 im)) (exp im)) 3)

simplify52.0ms

Counts: 114 → 114

prune268.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (* -1 im)) (exp im))
0.0b	(* (+ (exp (* -1 im)) (exp im)) (sin re))
0.4b	(pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3)
17.2b	(cbrt (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`cbrt-prod` `add-cube-cbrt`
6×	`associate-*l/` `add-log-exp`
4×	`cube-div` `flip3-+` `associate-l` `flip-+`
3×	`pow-unpow` `associate-r`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `distribute-lft-out` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow1/3` `sum-log` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

11.0ms	(+ (exp (* -1 im)) (exp im))
44.0ms	(* (+ (exp (* -1 im)) (exp im)) (sin re))
19.0ms	(pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3)
7.0ms	(cbrt (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3))

series237.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (exp (* -1 im)) (exp im))
66.0ms	(* (+ (exp (* -1 im)) (exp im)) (sin re))
81.0ms	(pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3)
66.0ms	(cbrt (pow (* (+ (exp (* -1 im)) (exp im)) (sin re)) 3))

simplify44.0ms

Counts: 88 → 88

prune240.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.0s	2985×	body	1280	valid
1.1s	2468×	body	640	valid
772.0ms	8540×	body	80	valid
559.0ms	1268×	body	320	valid
83.0ms	607×	body	160	valid