Details

sample249.0ms

Algorithm

intervals

Results

128.0ms	102×	body	1280	valid
53.0ms	101×	body	640	valid
32.0ms	250×	body	80	valid
14.0ms	40×	body	320	valid
3.0ms	13×	body	160	valid

simplify901.0ms

Counts: 1 → 1

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
4×	`associate-r` `add-log-exp`
3×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`flip3-+` `associate-*r/` `flip-+` `insert-posit16` `distribute-lft-out`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `associate-l` `*-commutative`

Counts

2 → 37

Calls

2 calls:

Slowest

84.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
24.0ms	(+ (exp (- im)) (exp im))

series124.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

75.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
49.0ms	(+ (exp (- im)) (exp im))

simplify2.1s

Counts: 43 → 43

prune477.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-cbrt-cube`
5×	`pow1` `add-exp-log` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-l` `insert-posit16` `associate-/l`
2×	`div-inv`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 60

Calls

3 calls:

Slowest

20.0ms	(+ (/ (cos re) (exp im)) (* (cos re) (exp im)))
11.0ms	(* (cos re) (exp im))
9.0ms	(/ (cos re) (exp im))

series183.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

88.0ms	(+ (/ (cos re) (exp im)) (* (cos re) (exp im)))
48.0ms	(* (cos re) (exp im))
46.0ms	(/ (cos re) (exp im))

simplify950.0ms

Counts: 69 → 69

prune658.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
19×	`times-frac`
16×	`add-cbrt-cube` `associate-r`
12×	`add-exp-log`
11×	`pow1`
6×	`add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-l` `pow-prod-down` `insert-posit16`
3×	`associate-/r` `associate-/l`
2×	`cbrt-undiv` `div-exp` `*-commutative` `div-inv` `unswap-sqr`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `associate-*r/` `flip-+`

Counts

4 → 92

Calls

4 calls:

Slowest

40.0ms	(* (* 0.5 (cos re)) (exp im))
19.0ms	(+ (* (cos re) (/ 0.5 (exp im))) (* (* 0.5 (cos re)) (exp im)))
14.0ms	(* (cos re) (/ 0.5 (exp im)))
5.0ms	(/ 0.5 (exp im))

series214.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

103.0ms	(+ (* (cos re) (/ 0.5 (exp im))) (* (* 0.5 (cos re)) (exp im)))
50.0ms	(* (* 0.5 (cos re)) (exp im))
41.0ms	(* (cos re) (/ 0.5 (exp im)))
19.0ms	(/ 0.5 (exp im))

simplify1.8s

Counts: 104 → 104

prune1.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ 1 (sqrt (exp im))) (/ 0.5 (sqrt (exp im))))
0.0b	(sqrt (exp im))
0.0b	(sqrt (exp im))
0.0b	(* (cos re) (* (/ 1 (sqrt (exp im))) (/ 0.5 (sqrt (exp im)))))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-sqr-sqrt`
58×	`times-frac` `add-exp-log`
41×	`*-un-lft-identity`
35×	`add-cube-cbrt` `sqrt-prod`
34×	`add-cbrt-cube`
25×	`associate-l` `prod-exp`
23×	`associate-r`
16×	`div-exp`
15×	`unswap-sqr`
13×	`pow1` `cbrt-unprod`
8×	`cbrt-undiv` `sqrt-pow1`
6×	`exp-prod`
5×	`associate-*r/`
4×	`rec-exp` `1-exp` `pow-prod-down` `insert-posit16` `add-log-exp`
2×	`frac-times` `rem-sqrt-square` `pow1/2` `associate-l/` `-commutative` `div-inv`

Counts

4 → 150

Calls

4 calls:

Slowest

69.0ms	(* (cos re) (* (/ 1 (sqrt (exp im))) (/ 0.5 (sqrt (exp im)))))
39.0ms	(* (/ 1 (sqrt (exp im))) (/ 0.5 (sqrt (exp im))))
2.0ms	(sqrt (exp im))
2.0ms	(sqrt (exp im))

series115.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

61.0ms	(* (cos re) (* (/ 1 (sqrt (exp im))) (/ 0.5 (sqrt (exp im)))))
21.0ms	(* (/ 1 (sqrt (exp im))) (/ 0.5 (sqrt (exp im))))
17.0ms	(sqrt (exp im))
16.0ms	(sqrt (exp im))

simplify2.8s

Counts: 162 → 162

prune1.8s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes307.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample7.6s

Algorithm

intervals

Results

3.2s	3001×	body	1280	valid
2.1s	2483×	body	640	valid
1.3s	8410×	body	80	valid
529.0ms	1273×	body	320	valid
153.0ms	589×	body	160	valid