Details

sample203.0ms

Algorithm

intervals

Results

78.0ms	103×	body	1280	valid
60.0ms	78×	body	640	valid
30.0ms	279×	body	80	valid
11.0ms	36×	body	320	valid
4.0ms	14×	body	160	valid

simplify4.1s

Counts

1 → 1

Iterations

Iter	Nodes
16	1977
15	1977
14	1975
13	1738
12	1274
11	1077
10	1023
9	981
8	946
7	828
6	608
5	468
4	198
3	86
2	57
1	23
0	10

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 1 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

42.0ms

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

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

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

simplify1.8s

Counts

27 → 27

Iterations

Iter	Nodes
3	4534
2	908
1	222
0	72

prune331.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

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))

rewrite46.0ms

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:

17.0ms	(+ (* (cos re) (exp im)) (/ (cos re) (exp im)))
19.0ms	(* (cos re) (exp im))
9.0ms	(/ (cos re) (exp im))

series177.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(+ (* (cos re) (exp im)) (/ (cos re) (exp im)))
33.0ms	(* (cos re) (exp im))
45.0ms	(/ (cos re) (exp im))

simplify642.0ms

Counts

69 → 69

Iterations

Iter	Nodes
3	2118
2	639
1	238
0	101

prune724.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-sqr-sqrt`
76×	`times-frac`
55×	`*-un-lft-identity`
49×	`add-cube-cbrt`
47×	`sqrt-prod`
28×	`add-exp-log`
22×	`associate-r` `associate-l`
18×	`add-cbrt-cube`
15×	`unswap-sqr`
9×	`div-exp`
8×	`pow1` `sqrt-pow1` `prod-exp`
6×	`exp-prod` `associate-/r*`
5×	`cbrt-undiv`
4×	`cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`div-inv` `associate-/l*`
2×	`rem-sqrt-square` `rec-exp` `pow1/2` `1-exp`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 158

Calls

4 calls:

10.0ms	(/ (cos re) (sqrt (exp im)))
2.0ms	(sqrt (exp im))
2.0ms	(sqrt (exp im))
48.0ms	(* (/ 1 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))))

series160.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(/ (cos re) (sqrt (exp im)))
22.0ms	(sqrt (exp im))
18.0ms	(sqrt (exp im))
43.0ms	(* (/ 1 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))))

simplify1.6s

Counts

170 → 170

Iterations

Iter	Nodes
3	3133
2	1347
1	479
0	181

prune2.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes244.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	13
1	13
0	10

end0.0ms

sample8.6s

Algorithm

intervals

Results

4.2s	2998×	body	1280	valid
2.1s	2447×	body	640	valid
1.3s	8607×	body	80	valid
527.0ms	1248×	body	320	valid
180.0ms	580×	body	160	valid