Details

sample189.0ms

Algorithm

intervals

Results

75.0ms	102×	body	1280	valid
55.0ms	78×	body	640	valid
25.0ms	255×	body	80	valid
11.0ms	32×	body	320	valid
5.0ms	21×	body	160	valid

simplify1.1s

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

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

11.0ms	(* (cos re) (fma (exp im) 0.5 (/ 0.5 (exp im))))
11.0ms	(/ 0.5 (exp im))

series131.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

112.0ms	(* (cos re) (fma (exp im) 0.5 (/ 0.5 (exp im))))
19.0ms	(/ 0.5 (exp im))

simplify495.0ms

Counts: 71 → 59

prune629.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (fma (exp im) 0.5 (/ 0.5 (exp im)))) (cbrt (fma (exp im) 0.5 (/ 0.5 (exp im)))))
0.0b	(* (* (cos re) (* (cbrt (fma (exp im) 0.5 (/ 0.5 (exp im)))) (cbrt (fma (exp im) 0.5 (/ 0.5 (exp im)))))) (cbrt (fma (exp im) 0.5 (/ 0.5 (exp im)))))
0.0b	(* (cos re) (* (cbrt (fma (exp im) 0.5 (/ 0.5 (exp im)))) (cbrt (fma (exp im) 0.5 (/ 0.5 (exp im))))))
0.0b	(cbrt (fma (exp im) 0.5 (/ 0.5 (exp im))))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt` `pow1`
22×	`cbrt-prod`
20×	`add-exp-log`
16×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-r`
11×	`add-cbrt-cube` `pow-prod-down`
10×	`associate-l` `prod-exp` `cbrt-unprod`
7×	`pow1/3`
6×	`swap-sqr`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 106

Calls

4 calls:

Slowest

96.0ms	(* (* (cos re) (* (cbrt (fma (exp im) 0.5 (/ 0.5 (exp im)))) (cbrt (fma (exp im) 0.5 (/ 0.5 (exp im)))))) (cbrt (fma (exp im) 0.5 (/ 0.5 (exp im)))))
22.0ms	(* (cos re) (* (cbrt (fma (exp im) 0.5 (/ 0.5 (exp im)))) (cbrt (fma (exp im) 0.5 (/ 0.5 (exp im))))))
16.0ms	(* (cbrt (fma (exp im) 0.5 (/ 0.5 (exp im)))) (cbrt (fma (exp im) 0.5 (/ 0.5 (exp im)))))
1.0ms	(cbrt (fma (exp im) 0.5 (/ 0.5 (exp im))))

series780.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

240.0ms	(cbrt (fma (exp im) 0.5 (/ 0.5 (exp im))))
226.0ms	(* (cbrt (fma (exp im) 0.5 (/ 0.5 (exp im)))) (cbrt (fma (exp im) 0.5 (/ 0.5 (exp im)))))
215.0ms	(* (cos re) (* (cbrt (fma (exp im) 0.5 (/ 0.5 (exp im)))) (cbrt (fma (exp im) 0.5 (/ 0.5 (exp im))))))
99.0ms	(* (* (cos re) (* (cbrt (fma (exp im) 0.5 (/ 0.5 (exp im)))) (cbrt (fma (exp im) 0.5 (/ 0.5 (exp im)))))) (cbrt (fma (exp im) 0.5 (/ 0.5 (exp im)))))

simplify484.0ms

Counts: 127 → 118

prune1.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes123.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample8.6s

Algorithm

intervals

Results

3.4s	3078×	body	1280	valid
1.8s	8512×	body	80	valid
1.7s	2459×	body	640	valid
1.1s	1191×	body	320	valid
202.0ms	647×	body	160	valid