Details

sample49.0ms

Algorithm

intervals

Results

29.0ms

345×

body

valid

simplify11.0ms

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x.re y.im) (* x.im y.re))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `sum-log` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16`

Counts

1 → 12

Calls

1 calls:

Slowest

12.0ms

(+ (* x.re y.im) (* x.im y.re))

series52.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

52.0ms

(+ (* x.re y.im) (* x.im y.re))

simplify1.3s

Counts: 15 → 15

prune93.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

35.0b	(cbrt (* (* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re))) (+ (* x.re y.im) (* x.im y.re))))
0.3b	(* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re)))
0.1b	(* (* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re))) (+ (* x.re y.im) (* x.im y.re)))
0.0b	(+ (* x.re y.im) (* x.im y.re))

rewrite227.0ms

Algorithm

rewrite-expression-head

Rules

61×	`flip3-+` `flip-+`
60×	`frac-times`
30×	`pow1` `associate-*l/`
26×	`cbrt-div`
18×	`associate-*r/`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow-plus` `pow-prod-up`
6×	`associate-r` `add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
3×	`pow2` `swap-sqr` `pow-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `+-commutative` `sum-log` `pow1/3` `rem-cbrt-cube`

Counts

4 → 142

Calls

4 calls:

Slowest

93.0ms	(* (* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re))) (+ (* x.re y.im) (* x.im y.re)))
64.0ms	(* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re)))
55.0ms	(cbrt (* (* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re))) (+ (* x.re y.im) (* x.im y.re))))
10.0ms	(+ (* x.re y.im) (* x.im y.re))

series366.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

189.0ms	(* (* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re))) (+ (* x.re y.im) (* x.im y.re)))
72.0ms	(* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re)))
60.0ms	(+ (* x.re y.im) (* x.im y.re))
44.0ms	(cbrt (* (* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re))) (+ (* x.re y.im) (* x.im y.re))))

simplify1.3s

Counts: 154 → 154

prune1.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

26.8b	(cbrt (* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re))))
1.3b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
0.3b	(* (cbrt (* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re)))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
0.3b	(* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re)))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-div`
40×	`flip3-+` `flip-+`
36×	`frac-times`
20×	`add-sqr-sqrt`
18×	`associate-*l/`
13×	`cbrt-prod` `pow1`
12×	`-un-lft-identity` `associate-r/` `add-cube-cbrt`
9×	`associate-r`
8×	`add-exp-log`
7×	`associate-l`
6×	`add-cbrt-cube`
5×	`unswap-sqr`
4×	`pow1/3` `insert-posit16` `add-log-exp`
3×	`swap-sqr` `pow-prod-down`
2×	`prod-exp` `*-commutative` `cbrt-unprod`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow3` `pow-sqr` `pow-prod-up`

Counts

4 → 122

Calls

4 calls:

Slowest

71.0ms	(* (cbrt (* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re)))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
43.0ms	(* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re)))
12.0ms	(cbrt (* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re))))
4.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

series434.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

180.0ms	(cbrt (* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re))))
150.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
64.0ms	(* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re)))
40.0ms	(* (cbrt (* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re)))) (cbrt (+ (* x.re y.im) (* x.im y.re))))

simplify882.0ms

Counts: 134 → 134

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes316.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.0s

Algorithm

intervals

Results

647.0ms

10453×

body

valid