Details

sample335.0ms

Algorithm

intervals

Results

211.0ms	197×	body	1280	valid
66.0ms	111×	body	640	valid
17.0ms	147×	body	80	valid
15.0ms	35×	body	320	valid
4.0ms	18×	body	160	valid

simplify2.3s

Counts: 1 → 1

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 57.0b

localize39.0ms

Local error

Found 2 expressions with local error:

5.8b	(- (exp (- 0 im)) (exp im))
0.0b	(* (* 0.5 (cos re)) (- (exp (- 0 im)) (exp im)))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
5×	`associate-r`
4×	`add-log-exp`
3×	`sub-neg` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `associate-*r/` `insert-posit16` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

2 → 42

Calls

2 calls:

Slowest

93.0ms	(* (* 0.5 (cos re)) (- (exp (- 0 im)) (exp im)))
44.0ms	(- (exp (- 0 im)) (exp im))

series181.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

125.0ms	(* (* 0.5 (cos re)) (- (exp (- 0 im)) (exp im)))
56.0ms	(- (exp (- 0 im)) (exp im))

simplify1.2s

Counts: 48 → 48

prune561.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize51.0ms

Local error

Found 4 expressions with local error:

0.3b	(* im 1/3)
0.1b	(* (* 0.5 (cos re)) (- (+ (* im (+ (* im (* im 1/3)) 2)) (* 1/60 (pow im 5)))))
0.1b	(* im (* im 1/3))
0.1b	(* 1/60 (pow im 5))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

21×	`associate-r` `add-exp-log`
20×	`add-sqr-sqrt`
18×	`add-cbrt-cube`
16×	`pow1`
13×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l` `prod-exp`
8×	`cbrt-unprod`
7×	`pow-prod-down`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`distribute-neg-in` `associate-*r/` `distribute-neg-frac` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `neg-mul-1` `distribute-lft-in` `flip3-+` `pow-exp` `distribute-rgt-neg-out` `flip-+`

Counts

4 → 95

Calls

4 calls:

Slowest

122.0ms	(* (* 0.5 (cos re)) (- (+ (* im (+ (* im (* im 1/3)) 2)) (* 1/60 (pow im 5)))))
14.0ms	(* im (* im 1/3))
11.0ms	(* im 1/3)
10.0ms	(* 1/60 (pow im 5))

series403.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

259.0ms	(* (* 0.5 (cos re)) (- (+ (* im (+ (* im (* im 1/3)) 2)) (* 1/60 (pow im 5)))))
85.0ms	(* 1/60 (pow im 5))
29.0ms	(* im 1/3)
29.0ms	(* im (* im 1/3))

simplify715.0ms

Counts: 107 → 107

prune1.7s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize56.0ms

Local error

Found 4 expressions with local error:

0.1b	(* im (cos re))
0.1b	(* im (cos re))
0.1b	(* (* im im) (* im (cos re)))
0.1b	(* 0.16666666666666666 (* (* im im) (* im (cos re))))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

38×	`pow1` `add-cbrt-cube` `add-exp-log`
23×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`add-sqr-sqrt`
10×	`associate-l`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r`
4×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`unswap-sqr`

Counts

4 → 89

Calls

4 calls:

Slowest

104.0ms	(* 0.16666666666666666 (* (* im im) (* im (cos re))))
26.0ms	(* (* im im) (* im (cos re)))
18.0ms	(* im (cos re))
14.0ms	(* im (cos re))

series295.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

98.0ms	(* 0.16666666666666666 (* (* im im) (* im (cos re))))
85.0ms	(* (* im im) (* im (cos re)))
70.0ms	(* im (cos re))
42.0ms	(* im (cos re))

simplify2.3s

Counts: 101 → 101

prune1.5s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos re))
0.3b	(cbrt (cos re))
0.3b	(cbrt (cos re))
0.3b	(* (cbrt (cos re)) (cbrt (cos re)))

rewrite39.0ms

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

21.0ms	(* (cbrt (cos re)) (cbrt (cos re)))
11.0ms	(cbrt (cos re))
2.0ms	(cbrt (cos re))
2.0ms	(cbrt (cos re))

series667.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

224.0ms	(* (cbrt (cos re)) (cbrt (cos re)))
165.0ms	(cbrt (cos re))
164.0ms	(cbrt (cos re))
113.0ms	(cbrt (cos re))

simplify2.2s

Counts: 89 → 89

prune1.6s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

regimes821.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch14.0ms

end0.0ms

sample12.3s

Algorithm

intervals

Results

7.0s	5736×	body	1280	valid
2.9s	3541×	body	640	valid
1.0s	4414×	body	80	valid
776.0ms	1443×	body	320	valid
223.0ms	706×	body	160	valid