Details

sample131.0ms

Algorithm

intervals

Results

46.0ms	52×	body	1280	valid
22.0ms	200×	body	80	valid
20.0ms	37×	body	640	valid
19.0ms	10×	body	160	valid
13.0ms	36×	body	320	valid

simplify4.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

4.0ms

(* (exp re) (cos im))

prune5.0ms

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))

rewrite13.0ms

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

13.0ms

(* (exp re) (cos im))

series52.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

52.0ms

(* (exp re) (cos im))

simplify445.0ms

Counts

13 → 22

Calls

13 calls:

Slowest

313.0ms	(* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im)))
76.0ms	(+ re (+ (* 1/2 (pow re 2)) 1))
11.0ms	(* (sqrt (exp re)) (sqrt (cos im)))
10.0ms	(* (sqrt (exp re)) (sqrt (cos im)))
7.0ms	(* (cos im) (exp re))

prune192.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-l`
11×	`add-sqr-sqrt`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

2 → 45

Calls

2 calls:

Slowest

32.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
14.0ms	(* (sqrt (exp re)) (cos im))

series119.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

62.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
57.0ms	(* (sqrt (exp re)) (cos im))

simplify1.2s

Counts

33 → 51

Calls

33 calls:

Slowest

328.0ms	(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (cos im)) (* (sqrt (exp re)) (cos im))) (* (sqrt (exp re)) (cos im))))
274.0ms	(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (cos im) (cos im)) (cos im)))
217.0ms	(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (cos im) (cos im)) (cos im))))
84.0ms	(+ re (+ (* 1/2 (pow re 2)) 1))
54.0ms	(+ (* 1/2 re) (+ (* 1/8 (pow re 2)) 1))

prune464.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

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)))

rewrite22.0ms

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

17.0ms	(* (cbrt (cos im)) (cbrt (cos im)))
1.0ms	(cbrt (cos im))
1.0ms	(cbrt (cos im))
1.0ms	(cbrt (cos im))

series659.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

258.0ms	(* (cbrt (cos im)) (cbrt (cos im)))
148.0ms	(cbrt (cos im))
127.0ms	(cbrt (cos im))
126.0ms	(cbrt (cos im))

simplify1.3s

Counts

65 → 89

Calls

65 calls:

Slowest

394.0ms	(- 1 (+ (* 1/3 (pow im 2)) (* 1/405 (pow im 6))))
163.0ms	(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
159.0ms	(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
158.0ms	(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
72.0ms	(* (* (cbrt (cbrt (cos im))) (cbrt (cbrt (cos im)))) (* (cbrt (cbrt (cos im))) (cbrt (cbrt (cos im)))))

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes164.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.3s	1525×	body	1280	valid
1.2s	6843×	body	80	valid
642.0ms	1238×	body	640	valid
200.0ms	641×	body	320	valid
57.0ms	293×	body	160	valid