Details

sample62.0ms

Algorithm

intervals

Results

18.0ms	39×	body	1280	valid
15.0ms	221×	body	80	valid
13.0ms	40×	body	640	valid
6.0ms	22×	body	320	valid
1.0ms	6×	body	160	valid

simplify4.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

4.0ms

(* (exp re) (cos im))

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

1 → 19

Calls

1 calls:

Slowest

23.0ms

(* (exp re) (cos im))

series41.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

41.0ms

(* (exp re) (cos im))

simplify371.0ms

Counts

13 → 22

Calls

13 calls:

Slowest

286.0ms	(* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im)))
46.0ms	(+ re (+ (* 1/2 (pow re 2)) 1))
5.0ms	(* (sqrt (exp re)) (sqrt (cos im)))
5.0ms	(* (sqrt (exp re)) (sqrt (cos im)))
5.0ms	(* (cos im) (exp re))

prune194.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos im))
0.3b	(cbrt (cos im))
0.3b	(cbrt (cos im))
0.3b	(* (cbrt (cos im)) (cbrt (cos im)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 77

Calls

4 calls:

Slowest

10.0ms	(* (cbrt (cos im)) (cbrt (cos im)))
1.0ms	(cbrt (cos im))
1.0ms	(cbrt (cos im))
1.0ms	(cbrt (cos im))

series610.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

213.0ms	(* (cbrt (cos im)) (cbrt (cos im)))
156.0ms	(cbrt (cos im))
125.0ms	(cbrt (cos im))
115.0ms	(cbrt (cos im))

simplify1.3s

Counts

65 → 89

Calls

65 calls:

Slowest

407.0ms	(- 1 (+ (* 1/3 (pow im 2)) (* 1/405 (pow im 6))))
173.0ms	(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
132.0ms	(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
131.0ms	(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
68.0ms	(* (* (cbrt (cbrt (cos im))) (cbrt (cbrt (cos im)))) (* (cbrt (cbrt (cos im))) (cbrt (cbrt (cos im)))))

prune968.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos im))
0.3b	(cbrt (cos im))
0.3b	(cbrt (cos im))
0.3b	(cbrt (cos im))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`

Counts

4 → 48

Calls

4 calls:

Slowest

2.0ms	(cbrt (cos im))
2.0ms	(cbrt (cos im))
2.0ms	(cbrt (cos im))
2.0ms	(cbrt (cos im))

series952.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

561.0ms	(cbrt (cos im))
137.0ms	(cbrt (cos im))
129.0ms	(cbrt (cos im))
124.0ms	(cbrt (cos im))

simplify765.0ms

Counts

24 → 60

Calls

24 calls:

Slowest

178.0ms	(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
178.0ms	(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
147.0ms	(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
139.0ms	(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
11.0ms	(pow (cos im) 1/3)

prune662.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes176.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.2s	1275×	body	640	valid
1.2s	1527×	body	1280	valid
708.0ms	6930×	body	80	valid
264.0ms	663×	body	320	valid
138.0ms	290×	body	160	valid