Details

sample97.0ms

Algorithm

intervals

Results

41.0ms	221×	body	80	valid
24.0ms	39×	body	1280	valid
13.0ms	40×	body	640	valid
7.0ms	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))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

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

16.0ms

(* (exp re) (cos im))

series46.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

46.0ms

(* (exp re) (cos im))

simplify777.0ms

Counts

13 → 24

Calls

13 calls:

Slowest

669.0ms	(* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im)))
57.0ms	(+ re (+ (* 1/2 (pow re 2)) 1))
8.0ms	(* (exp re) (cos im))
7.0ms	(+ re (log (cos im)))
6.0ms	(* (cos im) (exp re))

prune239.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize38.0ms

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)))

rewrite28.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `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 → 85

Calls

4 calls:

Slowest

20.0ms	(* (cbrt (cos im)) (cbrt (cos im)))
2.0ms	(cbrt (cos im))
2.0ms	(cbrt (cos im))
2.0ms	(cbrt (cos im))

series659.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

232.0ms	(* (cbrt (cos im)) (cbrt (cos im)))
153.0ms	(cbrt (cos im))
140.0ms	(cbrt (cos im))
134.0ms	(cbrt (cos im))

simplify1.2s

Counts

65 → 97

Calls

65 calls:

Slowest

258.0ms	(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
198.0ms	(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
163.0ms	(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
152.0ms	(- 1 (+ (* 1/3 (pow im 2)) (* 1/405 (pow im 6))))
58.0ms	(* (* (cbrt (cbrt (cos im))) (cbrt (cbrt (cos im)))) (* (cbrt (cbrt (cos im))) (cbrt (cbrt (cos im)))))

prune909.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize48.0ms

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×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

Slowest

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

series578.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

159.0ms	(cbrt (cos im))
157.0ms	(cbrt (cos im))
137.0ms	(cbrt (cos im))
125.0ms	(cbrt (cos im))

simplify835.0ms

Counts

24 → 68

Calls

24 calls:

Slowest

209.0ms	(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
164.0ms	(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
162.0ms	(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
159.0ms	(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
15.0ms	(pow (cos im) 1/3)

prune891.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes213.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.2s	1527×	body	1280	valid
1.1s	6930×	body	80	valid
634.0ms	1275×	body	640	valid
220.0ms	663×	body	320	valid
60.0ms	290×	body	160	valid