Details

sample68.0ms

Algorithm

intervals

Results

54.0ms

428×

body

valid

simplify4.0s

Counts: 1 → 1

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.3b

localize25.0ms

Local error

Found 4 expressions with local error:

6.3b	(* (- (* x.re x.re) (* x.im x.im)) x.im)
0.2b	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
0.1b	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.0b	(- (* x.re x.re) (* x.im x.im))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `associate-*l/`
8×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
7×	`associate-l`
6×	`associate-r`
4×	`expm1-log1p-u` `flip3-+` `flip3--` `frac-add` `flip-+` `insert-posit16` `log1p-expm1-u` `flip--`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `sum-log` `sub-neg` `fma-def` `fma-neg` `diff-log` `prod-diff`

Counts

4 → 84

Calls

4 calls:

Slowest

32.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
27.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)
25.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
8.0ms	(- (* x.re x.re) (* x.im x.im))

series245.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

95.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
86.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)
40.0ms	(- (* x.re x.re) (* x.im x.im))
24.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)

simplify631.0ms

Counts: 96 → 96

prune790.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x.im (+ x.re x.im)) (- x.re x.im))
0.2b	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
0.1b	(+ (* (* x.im (+ x.re x.im)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.0b	(+ (* x.re x.im) (* x.im x.re))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

36×	`prod-diff`
35×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
31×	`add-cube-cbrt`
24×	`associate-l/` `associate-r/`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
20×	`flip3-+` `flip-+`
16×	`frac-add`
12×	`frac-times`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`flip3--` `flip--`
8×	`associate-r` `add-log-exp`
4×	`expm1-log1p-u` `sub-neg` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
2×	`+-commutative` `sum-log` `fma-def` `*-commutative`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 144

Calls

4 calls:

Slowest

51.0ms	(+ (* (* x.im (+ x.re x.im)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
34.0ms	(* (* x.im (+ x.re x.im)) (- x.re x.im))
29.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
13.0ms	(+ (* x.re x.im) (* x.im x.re))

series228.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

82.0ms	(+ (* (* x.im (+ x.re x.im)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
73.0ms	(* (* x.im (+ x.re x.im)) (- x.re x.im))
41.0ms	(+ (* x.re x.im) (* x.im x.re))
31.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)

simplify1.6s

Counts: 156 → 156

prune1.7s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.2b	(fma (* x.im (+ x.re x.im)) (- x.re x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.2b	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
0.0b	(+ (* x.re x.im) (* x.im x.re))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`expm1-log1p-u` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u`
2×	`flip3-+` `associate-*l/` `flip-+`
1×	`+-commutative` `sum-log` `fma-def` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

3 → 49

Calls

3 calls:

Slowest

47.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
16.0ms	(+ (* x.re x.im) (* x.im x.re))
1.0ms	(fma (* x.im (+ x.re x.im)) (- x.re x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series168.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

110.0ms	(fma (* x.im (+ x.re x.im)) (- x.re x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
30.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
28.0ms	(+ (* x.re x.im) (* x.im x.re))

simplify696.0ms

Counts: 58 → 58

prune575.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* x.im 3) x.re)
0.1b	(* x.im (* x.im x.im))
0.1b	(* (* (* x.im 3) x.re) x.re)

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1`
22×	`add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `associate-r`
6×	`*-un-lft-identity` `add-cube-cbrt`
5×	`associate-l` `pow-prod-up`
3×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `pow-plus` `cube-unmult` `pow-sqr` `unswap-sqr`

Counts

3 → 72

Calls

3 calls:

Slowest

50.0ms	(* (* (* x.im 3) x.re) x.re)
21.0ms	(* (* x.im 3) x.re)
14.0ms	(* x.im (* x.im x.im))

series133.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

54.0ms	(* x.im (* x.im x.im))
49.0ms	(* (* (* x.im 3) x.re) x.re)
29.0ms	(* (* x.im 3) x.re)

simplify1.3s

Counts: 81 → 81

prune768.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes101.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch1.0ms

end0.0ms

sample3.0s

Algorithm

intervals

Results

2.6s

14527×

body

valid