Details

sample102.0ms

Algorithm

intervals

Results

81.0ms

469×

body

valid

simplify4.7s

Counts: 1 → 1

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.6b

localize60.0ms

Local error

Found 4 expressions with local error:

7.7b	(* (- (* x.re x.re) (* x.im x.im)) x.im)
0.2b	(+ (* (- (* x.re x.re) (* x.im x.im)) 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))

rewrite123.0ms

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`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `frac-add` `insert-posit16` `log1p-expm1-u`
3×	`flip3--` `flip--`
2×	`+-commutative` `sum-log` `fma-def` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`difference-of-squares`

Counts

4 → 81

Calls

4 calls:

Slowest

41.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)
39.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
27.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
15.0ms	(+ (* x.re x.im) (* x.im x.re))

series284.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

123.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
81.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)
41.0ms	(+ (* x.re x.im) (* x.im x.re))
39.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)

simplify581.0ms

Counts: 93 → 93

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

42×	`associate-*l/`
20×	`flip3-+` `flip-+`
16×	`frac-add`
12×	`frac-times`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt` `*-un-lft-identity` `flip3--` `flip--`
8×	`add-log-exp`
7×	`associate-l` `add-cube-cbrt`
6×	`associate-*r/`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
2×	`+-commutative` `sum-log` `fma-def` `*-commutative`
1×	`distribute-lft-out` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

Slowest

62.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.im))
55.0ms	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
29.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
16.0ms	(+ (* x.re x.im) (* x.im x.re))

series271.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

108.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.im))
93.0ms	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
39.0ms	(+ (* x.re x.im) (* x.im x.re))
30.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)

simplify1.3s

Counts: 111 → 111

prune1.6s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

Slowest

40.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
24.0ms	(* (- x.re x.im) x.im)
15.0ms	(+ (* x.re x.im) (* x.im x.re))
1.0ms	(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series268.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

137.0ms	(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
50.0ms	(* (- x.re x.im) x.im)
42.0ms	(+ (* x.re x.im) (* x.im x.re))
40.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)

simplify1.4s

Counts: 86 → 86

prune1.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x.re)
0.6b	(cbrt x.re)
0.6b	(cbrt x.re)
0.5b	(* (cbrt x.re) (cbrt x.re))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

Slowest

17.0ms	(* (cbrt x.re) (cbrt x.re))
2.0ms	(cbrt x.re)
2.0ms	(cbrt x.re)
1.0ms	(cbrt x.re)

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

340.0ms	(cbrt x.re)
316.0ms	(cbrt x.re)
298.0ms	(* (cbrt x.re) (cbrt x.re))
276.0ms	(cbrt x.re)

simplify1.7s

Counts: 97 → 97

prune1.4s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes247.0ms

Accuracy

0% (0.2b remaining)

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

bsearch3.0ms

end0.0ms

sample3.1s

Algorithm

intervals

Results

2.7s

14452×

body

valid