Details

sample59.0ms

Algorithm

intervals

Results

16.0ms	35×	body	1280	valid
16.0ms	233×	body	80	valid
14.0ms	47×	body	640	valid
3.0ms	14×	body	320	valid
1.0ms	7×	body	160	valid

simplify4.0ms

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

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite30.0ms

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`

Calls

1 calls:

Slowest

30.0ms

(* (exp re) (sin im))

series60.0ms

Calls

1 calls:

Slowest

60.0ms

(* (exp re) (sin im))

simplify566.0ms

Calls

13 calls:

Slowest

311.0ms	(* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im)))
197.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
8.0ms	(* (sqrt (exp re)) (sqrt (sin im)))
7.0ms	(* (sqrt (exp re)) (sqrt (sin im)))
7.0ms	(+ re (log (sin im)))

prune214.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

2.5b	(log (exp (* (exp re) (sin im))))
0.0b	(exp (* (exp re) (sin im)))
0.0b	(* (exp re) (sin im))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
5×	`add-cbrt-cube`
4×	`add-exp-log`
3×	`expm1-log1p-u` `log-prod` `associate-r` `associate-l` `log-pow` `insert-posit16` `log1p-expm1-u`
2×	`exp-prod` `exp-to-pow`
1×	`rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `rem-exp-log`

Calls

3 calls:

Slowest

26.0ms	(* (exp re) (sin im))
12.0ms	(exp (* (exp re) (sin im)))
4.0ms	(log (exp (* (exp re) (sin im))))

series198.0ms

Calls

3 calls:

Slowest

71.0ms	(log (exp (* (exp re) (sin im))))
67.0ms	(* (exp re) (sin im))
60.0ms	(exp (* (exp re) (sin im)))

simplify1.1s

Calls

28 calls:

Slowest

364.0ms	(* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im)))
217.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
188.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
112.0ms	(log (* (cbrt (exp (* (exp re) (sin im)))) (cbrt (exp (* (exp re) (sin im))))))
75.0ms	(log (sqrt (exp (* (exp re) (sin im)))))

prune674.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

3.6b	(fma (fma 1/2 (* re re) re) im im)
0.0b	(fma 1/2 (* re re) re)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Calls

2 calls:

Slowest

1.0ms	(fma (fma 1/2 (* re re) re) im im)
0.0ms	(fma 1/2 (* re re) re)

series133.0ms

Calls

2 calls:

Slowest

95.0ms	(fma 1/2 (* re re) re)
37.0ms	(fma (fma 1/2 (* re re) re) im im)

simplify759.0ms

Calls

6 calls:

Slowest

248.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
208.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
194.0ms	(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
39.0ms	(+ re (* 1/2 (pow re 2)))
39.0ms	(+ re (* 1/2 (pow re 2)))

prune227.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes170.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.3s	7044×	body	80	valid
1.2s	1474×	body	1280	valid
705.0ms	1234×	body	640	valid
235.0ms	603×	body	320	valid
106.0ms	316×	body	160	valid