Details

sample49.0ms

Algorithm

intervals

Results

28.0ms

360×

body

valid

simplify12.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	18
2	18
1	11
0	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`add-sqr-sqrt` `pow1` `sub-neg` `*-un-lft-identity` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--`

Counts

1 → 13

Calls

1 calls:

14.0ms

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

series80.0ms

Counts

1 → 3

Calls

1 calls:

80.0ms

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

simplify2.7s

Counts

16 → 16

Iterations

Iter	Nodes
5	5654
4	1747
3	743
2	264
1	93
0	34

prune124.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
1.2b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.2b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.2b	(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 91

Calls

4 calls:

42.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
5.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
5.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
5.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

series663.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
163.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
166.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
143.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify746.0ms

Counts

103 → 103

Iterations

Iter	Nodes
3	2254
2	860
1	333
0	132

prune909.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x.re y.re) (* x.im y.im))
0.0b	(- (* x.re y.re) (* x.im y.im))
0.3b	(* (+ (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im)))
24.8b	(/ (* (+ (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt`
8×	`frac-times` `*-un-lft-identity` `flip3-+` `add-cube-cbrt` `flip-+` `add-log-exp` `associate-/l/`
7×	`flip3--` `flip--`
6×	`pow1`
4×	`associate-l/` `associate-r/` `insert-posit16`
3×	`associate-/r` `sub-neg` `times-frac` `associate-r` `associate-l*`
2×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `diff-log` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

8.0ms	(+ (* x.re y.re) (* x.im y.im))
7.0ms	(- (* x.re y.re) (* x.im y.im))
72.0ms	(* (+ (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im)))
69.0ms	(/ (* (+ (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

series319.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ (* x.re y.re) (* x.im y.im))
53.0ms	(- (* x.re y.re) (* x.im y.im))
164.0ms	(* (+ (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im)))
59.0ms	(/ (* (+ (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

simplify2.0m

Counts

100 → 100

Iterations

Iter	Nodes
3	12752
2	1920
1	386
0	124

prune827.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x.im y.im) (* x.re y.re))
0.0b	(* (+ (* x.im y.im) (* x.re y.re)) (/ (- (* x.re y.re) (* x.im y.im)) (+ (* x.im y.im) (* x.re y.re))))
0.0b	(- (* x.re y.re) (* x.im y.im))
0.5b	(/ (- (* x.re y.re) (* x.im y.im)) (+ (* x.im y.im) (* x.re y.re)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `add-cube-cbrt`
19×	`times-frac`
15×	`associate-r`
11×	`add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
6×	`pow1`
5×	`flip3-+` `flip-+`
4×	`associate-/r/` `insert-posit16`
3×	`associate-/r` `associate-l` `associate-/l`
2×	`frac-times` `cbrt-undiv` `flip3--` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `flip--` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-sub` `pow-prod-down` `associate-r/` `-commutative`

Counts

4 → 97

Calls

4 calls:

7.0ms	(+ (* x.im y.im) (* x.re y.re))
55.0ms	(* (+ (* x.im y.im) (* x.re y.re)) (/ (- (* x.re y.re) (* x.im y.im)) (+ (* x.im y.im) (* x.re y.re))))
15.0ms	(- (* x.re y.re) (* x.im y.im))
34.0ms	(/ (- (* x.re y.re) (* x.im y.im)) (+ (* x.im y.im) (* x.re y.re)))

series205.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(+ (* x.im y.im) (* x.re y.re))
57.0ms	(* (+ (* x.im y.im) (* x.re y.re)) (/ (- (* x.re y.re) (* x.im y.im)) (+ (* x.im y.im) (* x.re y.re))))
41.0ms	(- (* x.re y.re) (* x.im y.im))
48.0ms	(/ (- (* x.re y.re) (* x.im y.im)) (+ (* x.im y.im) (* x.re y.re)))

simplify14.4s

Counts

109 → 109

Iterations

Iter	Nodes
3	7470
2	1694
1	387
0	132

prune890.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes436.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	9
1	9
0	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

779.0ms

10523×

body

valid