Details

sample32.0ms

Algorithm

intervals

Results

12.0ms

323×

body

valid

simplify30.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

16.0ms

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

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

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

simplify1.2s

Counts: 15 → 15

prune44.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* y.re x.re) (* y.im x.im))
0.3b	(pow (- (* y.re x.re) (* y.im x.im)) 3)
35.2b	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) 3))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3--` `flip--`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 60

Calls

3 calls:

16.0ms	(- (* y.re x.re) (* y.im x.im))
21.0ms	(pow (- (* y.re x.re) (* y.im x.im)) 3)
19.0ms	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) 3))

series314.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- (* y.re x.re) (* y.im x.im))
192.0ms	(pow (- (* y.re x.re) (* y.im x.im)) 3)
63.0ms	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) 3))

simplify621.0ms

Counts: 69 → 69

prune225.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (- (* y.re x.re) (* y.im x.im)) (- (* y.re x.re) (* y.im x.im)))
0.3b	(* (cbrt (- (* y.re x.re) (* y.im x.im))) (cbrt (* (- (* y.re x.re) (* y.im x.im)) (- (* y.re x.re) (* y.im x.im)))))
2.1b	(cbrt (- (* y.re x.re) (* y.im x.im)))
27.7b	(cbrt (* (- (* y.re x.re) (* y.im x.im)) (- (* y.re x.re) (* y.im x.im))))

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 120

Calls

4 calls:

58.0ms	(* (- (* y.re x.re) (* y.im x.im)) (- (* y.re x.re) (* y.im x.im)))
144.0ms	(* (cbrt (- (* y.re x.re) (* y.im x.im))) (cbrt (* (- (* y.re x.re) (* y.im x.im)) (- (* y.re x.re) (* y.im x.im)))))
6.0ms	(cbrt (- (* y.re x.re) (* y.im x.im)))
29.0ms	(cbrt (* (- (* y.re x.re) (* y.im x.im)) (- (* y.re x.re) (* y.im x.im))))

series521.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* (- (* y.re x.re) (* y.im x.im)) (- (* y.re x.re) (* y.im x.im)))
66.0ms	(* (cbrt (- (* y.re x.re) (* y.im x.im))) (cbrt (* (- (* y.re x.re) (* y.im x.im)) (- (* y.re x.re) (* y.im x.im)))))
166.0ms	(cbrt (- (* y.re x.re) (* y.im x.im)))
182.0ms	(cbrt (* (- (* y.re x.re) (* y.im x.im)) (- (* y.re x.re) (* y.im x.im))))

simplify907.0ms

Counts: 132 → 132

prune444.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* y.re x.re) (* y.im x.im))
0.7b	(pow (cbrt (- (* y.re x.re) (* y.im x.im))) 3)
2.1b	(cbrt (- (* y.re x.re) (* y.im x.im)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `cbrt-div`
3×	`pow-unpow` `flip3--` `add-cbrt-cube` `flip--`
2×	`cube-div` `pow-pow` `pow1/3`
1×	`cube-mult` `pow-to-exp` `sub-neg` `diff-log` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`

Counts

3 → 57

Calls

3 calls:

9.0ms	(- (* y.re x.re) (* y.im x.im))
13.0ms	(pow (cbrt (- (* y.re x.re) (* y.im x.im))) 3)
12.0ms	(cbrt (- (* y.re x.re) (* y.im x.im)))

series378.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (* y.re x.re) (* y.im x.im))
180.0ms	(pow (cbrt (- (* y.re x.re) (* y.im x.im))) 3)
147.0ms	(cbrt (- (* y.re x.re) (* y.im x.im)))

simplify526.0ms

Counts: 66 → 66

prune168.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes287.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify18.0ms

end0.0ms

sample1.6s

Algorithm

intervals

Results

475.0ms

10348×

body

valid