Details

sample285.0ms

Algorithm

intervals

Results

115.0ms	108×	body	1280	valid
63.0ms	91×	body	640	valid
62.0ms	275×	body	80	valid
18.0ms	38×	body	320	valid
6.0ms	19×	body	160	valid

simplify10.3s

Counts

1 → 1

Iterations

Iter	Nodes
10	2917
9	1550
8	1125
7	809
6	614
5	462
4	196
3	84
2	55
1	23
0	10

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite69.0ms

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:

22.0ms	(+ (* (cos re) (exp im)) (/ (cos re) (exp im)))
27.0ms	(* (cos re) (exp im))
19.0ms	(/ (cos re) (exp im))

series174.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(+ (* (cos re) (exp im)) (/ (cos re) (exp im)))
34.0ms	(* (cos re) (exp im))
39.0ms	(/ (cos re) (exp im))

simplify2.2s

Counts

69 → 69

Iterations

Iter	Nodes
3	2010
2	643
1	236
0	101

prune577.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite81.0ms

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:

15.0ms	(+ (exp (- im)) (exp im))
65.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series99.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (exp (- im)) (exp im))
72.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify2.4s

Counts

43 → 43

Iterations

Iter	Nodes
3	4997
2	1016
1	256
0	87

prune437.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

111×	`add-sqr-sqrt`
94×	`times-frac`
69×	`*-un-lft-identity`
63×	`add-cube-cbrt`
53×	`sqrt-prod`
33×	`add-exp-log`
25×	`associate-r` `associate-l`
22×	`add-cbrt-cube`
16×	`unswap-sqr`
12×	`associate-/r*`
11×	`div-exp`
10×	`pow1`
9×	`prod-exp`
6×	`cbrt-undiv` `pow-flip` `associate-/l*`
5×	`cbrt-unprod`
4×	`sqrt-pow1` `insert-posit16` `div-inv` `add-log-exp`
3×	`rec-exp` `exp-prod` `1-exp`
2×	`clear-num` `frac-2neg` `pow-prod-down` `*-commutative`
1×	`frac-times` `pow1/2` `associate-l/` `associate-r/` `inv-pow`

Counts

4 → 192

Calls

4 calls:

21.0ms	(* (cos re) (exp im))
17.0ms	(/ (cos re) (sqrt (exp im)))
13.0ms	(/ 1 (sqrt (exp im)))
47.0ms	(* (/ 1 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))))

series170.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (cos re) (exp im))
47.0ms	(/ (cos re) (sqrt (exp im)))
25.0ms	(/ 1 (sqrt (exp im)))
59.0ms	(* (/ 1 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))))

simplify14.0s

Counts

204 → 204

Iterations

Iter	Nodes
3	4078
2	1478
1	591
0	223

prune2.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1` `add-cbrt-cube`
10×	`add-exp-log`
9×	`times-frac` `sqrt-prod`
8×	`sqrt-pow1`
6×	`exp-prod` `associate-r`
4×	`insert-posit16` `add-log-exp`
3×	`associate-/r` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l`
2×	`rem-sqrt-square` `pow1/2`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `associate-l` `*-commutative` `div-inv`

Counts

4 → 84

Calls

4 calls:

2.0ms	(sqrt (exp im))
2.0ms	(sqrt (exp im))
10.0ms	(/ (cos re) (exp im))
59.0ms	(* (* (cos re) (sqrt (exp im))) (sqrt (exp im)))

series102.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(sqrt (exp im))
22.0ms	(sqrt (exp im))
30.0ms	(/ (cos re) (exp im))
34.0ms	(* (* (cos re) (sqrt (exp im))) (sqrt (exp im)))

simplify1.4s

Counts

96 → 96

Iterations

Iter	Nodes
3	2470
2	797
1	239
0	107

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes95.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	17
1	17
0	13

end0.0ms

sample8.1s

Algorithm

intervals

Results

3.4s	2965×	body	1280	valid
1.7s	2576×	body	640	valid
1.5s	8710×	body	80	valid
605.0ms	598×	body	160	valid
520.0ms	1176×	body	320	valid