Details

sample223.0ms

Algorithm

intervals

Results

98.0ms	88×	body	1280	valid
45.0ms	75×	body	640	valid
33.0ms	256×	body	80	valid
19.0ms	43×	body	320	valid
6.0ms	20×	body	160	valid

simplify1.0s

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize30.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (sin re) (fma 0.5 (exp im) (/ 0.5 (exp im))))
0.0b	(/ 0.5 (exp im))
0.0b	(fma 0.5 (exp im) (/ 0.5 (exp im)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`pow1`
3×	`expm1-log1p-u` `associate-/r` `associate-r` `associate-l` `fma-udef` `insert-posit16` `log1p-expm1-u` `associate-/l` `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

3 → 64

Calls

3 calls:

Slowest

18.0ms	(* (sin re) (fma 0.5 (exp im) (/ 0.5 (exp im))))
9.0ms	(/ 0.5 (exp im))
0.0ms	(fma 0.5 (exp im) (/ 0.5 (exp im)))

series185.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

124.0ms	(* (sin re) (fma 0.5 (exp im) (/ 0.5 (exp im))))
46.0ms	(fma 0.5 (exp im) (/ 0.5 (exp im)))
14.0ms	(/ 0.5 (exp im))

simplify897.0ms

Counts: 73 → 73

prune888.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize43.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))
0.2b	(* (sin re) (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))))
0.0b	(/ (sqrt 0.5) (exp im))
0.0b	(fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 127

Calls

4 calls:

Slowest

38.0ms	(* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))
18.0ms	(* (sin re) (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))))
12.0ms	(/ (sqrt 0.5) (exp im))
0.0ms	(fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))

series477.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

209.0ms	(* (sin re) (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))))
118.0ms	(fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))
100.0ms	(* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))
50.0ms	(/ (sqrt 0.5) (exp im))

simplify1.9s

Counts: 139 → 139

prune1.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sin re) (fma 0.5 (exp im) (/ 0.5 (exp im))))
0.2b	(log1p (* (sin re) (fma 0.5 (exp im) (/ 0.5 (exp im)))))
0.1b	(expm1 (log1p (* (sin re) (fma 0.5 (exp im) (/ 0.5 (exp im))))))
0.0b	(/ 0.5 (exp im))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

Slowest

8.0ms	(* (sin re) (fma 0.5 (exp im) (/ 0.5 (exp im))))
5.0ms	(/ 0.5 (exp im))
0.0ms	(log1p (* (sin re) (fma 0.5 (exp im) (/ 0.5 (exp im)))))
0.0ms	(expm1 (log1p (* (sin re) (fma 0.5 (exp im) (/ 0.5 (exp im))))))

series432.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

172.0ms	(log1p (* (sin re) (fma 0.5 (exp im) (/ 0.5 (exp im)))))
152.0ms	(expm1 (log1p (* (sin re) (fma 0.5 (exp im) (/ 0.5 (exp im))))))
91.0ms	(* (sin re) (fma 0.5 (exp im) (/ 0.5 (exp im))))
16.0ms	(/ 0.5 (exp im))

simplify908.0ms

Counts: 89 → 89

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.2b

regimes144.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample9.0s

Algorithm

intervals

Results

3.6s	3032×	body	1280	valid
1.8s	8596×	body	80	valid
1.8s	2485×	body	640	valid
776.0ms	1287×	body	320	valid
612.0ms	555×	body	160	valid