Details

sample65.0ms

Algorithm

intervals

Results

22.0ms	223×	body	80	valid
17.0ms	37×	body	1280	valid
12.0ms	42×	body	640	valid
4.0ms	20×	body	320	valid
2.0ms	11×	body	160	valid

simplify4.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

4.0ms

(* (exp re) (cos im))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-cube-cbrt`
2×	`add-exp-log`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 21

Calls

1 calls:

Slowest

23.0ms

(* (exp re) (cos im))

series62.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

62.0ms

(* (exp re) (cos im))

simplify442.0ms

Counts

13 → 24

Calls

13 calls:

Slowest

328.0ms	(* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im)))
57.0ms	(+ re (+ (* 1/2 (pow re 2)) 1))
11.0ms	(* (sqrt (exp re)) (sqrt (cos im)))
11.0ms	(* (sqrt (exp re)) (sqrt (cos im)))
6.0ms	(* (cbrt (exp re)) (cbrt (exp re)))

prune252.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.4b	(expm1 (* (exp re) (cos im)))
0.1b	(log1p (expm1 (* (exp re) (cos im))))
0.0b	(* (exp re) (cos im))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
4×	`add-exp-log` `log1p-expm1-u`
3×	`expm1-log1p-u` `associate-r` `associate-l` `insert-posit16` `add-log-exp`
1×	`log1p-udef` `expm1-log1p` `pow-prod-down` `prod-exp` `log1p-expm1` `*-commutative` `cbrt-unprod` `expm1-udef` `unswap-sqr`

Counts

3 → 45

Calls

3 calls:

Slowest

23.0ms	(* (exp re) (cos im))
1.0ms	(expm1 (* (exp re) (cos im)))
0.0ms	(log1p (expm1 (* (exp re) (cos im))))

series216.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

88.0ms	(expm1 (* (exp re) (cos im)))
87.0ms	(log1p (expm1 (* (exp re) (cos im))))
41.0ms	(* (exp re) (cos im))

simplify1.2s

Counts

21 → 54

Calls

21 calls:

Slowest

333.0ms	(- (+ (* (pow re 2) E) (+ (* re E) E)) 1)
300.0ms	(* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im)))
166.0ms	(- (exp (* (cos im) (exp re))) 1)
159.0ms	(- (exp (* (cos im) (exp re))) 1)
69.0ms	(+ re (+ (* 1/2 (pow re 2)) 1))

prune492.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (exp re) (sqrt (cos im))) (sqrt (cos im)))
0.1b	(sqrt (cos im))
0.1b	(sqrt (cos im))
0.0b	(* (exp re) (sqrt (cos im)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
9×	`add-exp-log`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

Slowest

66.0ms	(* (* (exp re) (sqrt (cos im))) (sqrt (cos im)))
19.0ms	(* (exp re) (sqrt (cos im)))
4.0ms	(sqrt (cos im))
3.0ms	(sqrt (cos im))

series165.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

70.0ms	(* (exp re) (sqrt (cos im)))
41.0ms	(* (* (exp re) (sqrt (cos im))) (sqrt (cos im)))
29.0ms	(sqrt (cos im))
25.0ms	(sqrt (cos im))

simplify1.6s

Counts

50 → 93

Calls

50 calls:

Slowest

306.0ms	(* (* (* (exp re) (exp re)) (exp re)) (* (* (sqrt (cos im)) (sqrt (cos im))) (sqrt (cos im))))
281.0ms	(* (* (* (* (exp re) (sqrt (cos im))) (* (exp re) (sqrt (cos im)))) (* (exp re) (sqrt (cos im)))) (* (* (sqrt (cos im)) (sqrt (cos im))) (sqrt (cos im))))
243.0ms	(* (* (* (* (exp re) (exp re)) (exp re)) (* (* (sqrt (cos im)) (sqrt (cos im))) (sqrt (cos im)))) (* (* (sqrt (cos im)) (sqrt (cos im))) (sqrt (cos im))))
225.0ms	(- 1 (+ (* 1/4 (pow im 2)) (* 1/96 (pow im 4))))
139.0ms	(- 1 (+ (* 1/4 (pow im 2)) (* 1/96 (pow im 4))))

prune923.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes224.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.1s	1561×	body	1280	valid
1.1s	6778×	body	80	valid
578.0ms	1191×	body	640	valid
167.0ms	618×	body	320	valid
89.0ms	323×	body	160	valid