Details

sample110.0ms

Algorithm

intervals

Results

36.0ms	49×	body	1280	valid
25.0ms	51×	body	640	valid
24.0ms	227×	body	80	valid
7.0ms	21×	body	320	valid
3.0ms	14×	body	160	valid

simplify8.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

7.0ms

(* (exp re) (sin 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) (sin im))

rewrite57.0ms

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

57.0ms

(* (exp re) (sin im))

series74.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

74.0ms

(* (exp re) (sin im))

simplify1.1s

Counts

24 → 24

Calls

24 calls:

Slowest

397.0ms	(* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im)))
233.0ms	(* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (* (exp re) (sin im)))
205.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
33.0ms	(exp (* (exp re) (sin im)))
20.0ms	(* (exp re) (* (cbrt (sin im)) (cbrt (sin im))))

prune204.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt (* (exp re) (sin im)))
0.3b	(sqrt (* (exp re) (sin im)))
0.2b	(* (sqrt (* (exp re) (sin im))) (sqrt (* (exp re) (sin im))))
0.0b	(* (exp re) (sin im))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
14×	`add-sqr-sqrt`
12×	`pow1/2`
10×	`*-un-lft-identity` `pow-prod-up` `add-cube-cbrt`
8×	`add-cbrt-cube`
7×	`associate-r` `associate-l` `add-exp-log`
6×	`pow-sqr` `sqrt-prod`
4×	`expm1-log1p-u` `swap-sqr` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod`

Counts

4 → 101

Calls

4 calls:

Slowest

99.0ms	(* (sqrt (* (exp re) (sin im))) (sqrt (* (exp re) (sin im))))
24.0ms	(* (exp re) (sin im))
17.0ms	(sqrt (* (exp re) (sin im)))
16.0ms	(sqrt (* (exp re) (sin im)))

series278.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

80.0ms	(sqrt (* (exp re) (sin im)))
79.0ms	(sqrt (* (exp re) (sin im)))
67.0ms	(* (exp re) (sin im))
52.0ms	(* (sqrt (* (exp re) (sin im))) (sqrt (* (exp re) (sin im))))

simplify3.3s

Counts

115 → 113

Calls

115 calls:

Slowest

458.0ms	(* (* (* (sqrt (* (exp re) (sin im))) (sqrt (* (exp re) (sin im)))) (sqrt (* (exp re) (sin im)))) (* (* (sqrt (* (exp re) (sin im))) (sqrt (* (exp re) (sin im)))) (sqrt (* (exp re) (sin im)))))
403.0ms	(* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im)))
344.0ms	(* (* (* (sqrt (* (exp re) (sin im))) (sqrt (* (exp re) (sin im)))) (* (sqrt (* (exp re) (sin im))) (sqrt (* (exp re) (sin im))))) (* (sqrt (* (exp re) (sin im))) (sqrt (* (exp re) (sin im)))))
223.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
214.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes160.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.1s	1532×	body	1280	valid
841.0ms	6940×	body	80	valid
715.0ms	1270×	body	640	valid
577.0ms	607×	body	320	valid
109.0ms	318×	body	160	valid