Details

sample83.0ms

Algorithm

intervals

Results

28.0ms	47×	body	1280	valid
20.0ms	218×	body	80	valid
17.0ms	42×	body	640	valid
6.0ms	20×	body	320	valid
1.0ms	3×	body	160	valid

simplify4.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

4.0ms

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

rewrite21.0ms

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

21.0ms

(* (exp re) (sin im))

series79.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

79.0ms

(* (exp re) (sin im))

simplify568.0ms

Counts

13 → 22

Calls

13 calls:

Slowest

327.0ms	(* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im)))
181.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
7.0ms	(+ re (log (sin im)))
7.0ms	(* (sin im) (exp re))
7.0ms	(* (sin im) (exp re))

prune200.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin im))
0.6b	(cbrt (sin im))
0.6b	(cbrt (sin im))
0.5b	(* (cbrt (sin im)) (cbrt (sin im)))

rewrite24.0ms

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

19.0ms	(* (cbrt (sin im)) (cbrt (sin im)))
1.0ms	(cbrt (sin im))
1.0ms	(cbrt (sin im))
1.0ms	(cbrt (sin im))

series643.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

179.0ms	(* (cbrt (sin im)) (cbrt (sin im)))
162.0ms	(cbrt (sin im))
160.0ms	(cbrt (sin im))
140.0ms	(cbrt (sin im))

simplify1.6s

Counts

65 → 89

Calls

65 calls:

Slowest

297.0ms	(- (pow im 1/3) (+ (* 1/18 (pow (pow im 7) 1/3)) (* 1/3240 (pow (pow im 13) 1/3))))
265.0ms	(- (pow im 1/3) (+ (* 1/18 (pow (pow im 7) 1/3)) (* 1/3240 (pow (pow im 13) 1/3))))
253.0ms	(- (+ (* 1/405 (pow (pow im 14) 1/3)) (pow im 2/3)) (* 1/9 (pow (pow im 8) 1/3)))
252.0ms	(- (pow im 1/3) (+ (* 1/18 (pow (pow im 7) 1/3)) (* 1/3240 (pow (pow im 13) 1/3))))
103.0ms	(* (* (cbrt (cbrt (sin im))) (cbrt (cbrt (sin im)))) (* (cbrt (cbrt (sin im))) (cbrt (cbrt (sin im)))))

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes200.0ms

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	1487×	body	1280	valid
1.2s	6965×	body	80	valid
663.0ms	1321×	body	640	valid
179.0ms	584×	body	320	valid
61.0ms	295×	body	160	valid