Details

sample192.0ms

Algorithm

intervals

Results

89.0ms	87×	body	1280	valid
39.0ms	77×	body	640	valid
29.0ms	267×	body	80	valid
13.0ms	36×	body	320	valid
5.0ms	23×	body	160	valid

simplify1.1s

Counts: 1 → 1

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 0.5 (exp im))
0.0b	(* (sin re) (fma 0.5 (exp im) (/ 0.5 (exp im))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`add-cbrt-cube`
5×	`add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
2×	`expm1-log1p-u` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `cbrt-undiv` `clear-num` `frac-2neg` `distribute-lft-in` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

2 → 53

Calls

2 calls:

Slowest

9.0ms	(* (sin re) (fma 0.5 (exp im) (/ 0.5 (exp im))))
7.0ms	(/ 0.5 (exp im))

series132.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

104.0ms	(* (sin re) (fma 0.5 (exp im) (/ 0.5 (exp im))))
28.0ms	(/ 0.5 (exp im))

simplify4.7s

Counts: 59 → 59

prune578.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (sin re) (exp im))
0.0b	(fma (exp im) (sin re) (/ (sin re) (exp im)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube`
3×	`associate-/r` `add-exp-log` `associate-/l`
2×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `fma-udef` `div-inv`

Counts

2 → 41

Calls

2 calls:

Slowest

10.0ms	(/ (sin re) (exp im))
0.0ms	(fma (exp im) (sin re) (/ (sin re) (exp im)))

series213.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

154.0ms	(fma (exp im) (sin re) (/ (sin re) (exp im)))
59.0ms	(/ (sin re) (exp im))

simplify900.0ms

Counts: 47 → 47

prune455.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im))))
0.0b	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
0.0b	(/ 0.5 (exp im))
0.0b	(/ 0.5 (exp im))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
58×	`times-frac`
48×	`*-un-lft-identity` `add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`add-exp-log`
13×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
7×	`cbrt-div`
6×	`frac-times` `cbrt-undiv` `associate-/r` `div-exp` `associate-l/` `div-inv` `associate-/l*`
4×	`expm1-log1p-u` `prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`clear-num` `frac-2neg`
1×	`cbrt-prod` `pow2` `pow-plus` `pow1/3` `pow3` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up` `rem-cbrt-cube`

Counts

4 → 150

Calls

4 calls:

Slowest

96.0ms	(cbrt (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im))))
30.0ms	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
5.0ms	(/ 0.5 (exp im))
5.0ms	(/ 0.5 (exp im))

series125.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

53.0ms	(cbrt (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im))))
27.0ms	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
26.0ms	(/ 0.5 (exp im))
19.0ms	(/ 0.5 (exp im))

simplify1.6s

Counts: 162 → 162

prune2.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes118.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample9.2s

Algorithm

intervals

Results

4.3s	2975×	body	1280	valid
1.9s	2426×	body	640	valid
1.5s	8488×	body	80	valid
1.0s	1242×	body	320	valid
188.0ms	653×	body	160	valid