Details

sample38.0ms

Algorithm

intervals

Results

17.0ms

277×

body

valid

simplify35.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	72
5	72
4	66
3	48
2	36
1	19
0	11

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.7b

localize21.0ms

Local error

Found 2 expressions with local error:

1.3b	(- (* x.im y.re) (* x.re y.im))
24.2b	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `flip-+` `div-inv`

Counts

2 → 44

Calls

2 calls:

6.0ms	(- (* x.im y.re) (* x.re y.im))
31.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

series218.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(- (* x.im y.re) (* x.re y.im))
148.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

simplify634.0ms

Counts

50 → 50

Iterations

Iter	Nodes
done	5000
2	1073
1	258
0	89

prune344.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 22.6b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (/ y.re (+ (* y.re y.re) (* y.im y.im))) x.im) (/ (* x.re y.im) (+ (* y.re y.re) (* y.im y.im))))
3.9b	(* (/ y.re (+ (* y.re y.re) (* y.im y.im))) x.im)
17.3b	(/ y.re (+ (* y.re y.re) (* y.im y.im)))
17.7b	(/ (* x.re y.im) (+ (* y.re y.re) (* y.im y.im)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
16×	`add-cbrt-cube` `add-exp-log`
15×	`associate-l`
6×	`pow1` `associate-/r*` `associate-/r/` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l*`
3×	`flip3-+` `associate-r` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+` `div-inv`
2×	`clear-num` `frac-2neg` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `sub-div`

Counts

4 → 100

Calls

4 calls:

38.0ms	(- (* (/ y.re (+ (* y.re y.re) (* y.im y.im))) x.im) (/ (* x.re y.im) (+ (* y.re y.re) (* y.im y.im))))
37.0ms	(* (/ y.re (+ (* y.re y.re) (* y.im y.im))) x.im)
19.0ms	(/ y.re (+ (* y.re y.re) (* y.im y.im)))
16.0ms	(/ (* x.re y.im) (+ (* y.re y.re) (* y.im y.im)))

series495.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(- (* (/ y.re (+ (* y.re y.re) (* y.im y.im))) x.im) (/ (* x.re y.im) (+ (* y.re y.re) (* y.im y.im))))
100.0ms	(* (/ y.re (+ (* y.re y.re) (* y.im y.im))) x.im)
72.0ms	(/ y.re (+ (* y.re y.re) (* y.im y.im)))
74.0ms	(/ (* x.re y.im) (+ (* y.re y.re) (* y.im y.im)))

simplify1.2s

Counts

112 → 112

Iterations

Iter	Nodes
done	5003
2	2321
1	457
0	163

prune860.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 20.7b

localize43.0ms

Local error

Found 4 expressions with local error:

17.3b	(/ y.re (+ (* y.re y.re) (* y.im y.im)))
29.1b	(cbrt (+ (* y.re y.re) (* y.im y.im)))
29.1b	(cbrt (+ (* y.im y.im) (* y.re y.re)))
29.1b	(cbrt (+ (* y.im y.im) (* y.re y.re)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `times-frac`
6×	`cbrt-div` `add-cbrt-cube` `add-exp-log`
4×	`pow1` `flip3-+` `flip-+` `add-log-exp`
3×	`associate-/r` `pow1/3` `associate-/l`
2×	`associate-/r/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 68

Calls

4 calls:

10.0ms	(/ y.re (+ (* y.re y.re) (* y.im y.im)))
4.0ms	(cbrt (+ (* y.re y.re) (* y.im y.im)))
4.0ms	(cbrt (+ (* y.im y.im) (* y.re y.re)))
8.0ms	(cbrt (+ (* y.im y.im) (* y.re y.re)))

series507.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(/ y.re (+ (* y.re y.re) (* y.im y.im)))
151.0ms	(cbrt (+ (* y.re y.re) (* y.im y.im)))
129.0ms	(cbrt (+ (* y.im y.im) (* y.re y.re)))
133.0ms	(cbrt (+ (* y.im y.im) (* y.re y.re)))

simplify959.0ms

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
2	1720
1	317
0	130

prune794.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 20.7b

localize54.0ms

Local error

Found 4 expressions with local error:

17.3b	(/ y.re (+ (* y.re y.re) (* y.im y.im)))
29.1b	(cbrt (+ (* y.im y.im) (* y.re y.re)))
29.1b	(cbrt (+ (* y.re y.re) (* y.im y.im)))
29.1b	(cbrt (+ (* y.re y.re) (* y.im y.im)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `times-frac`
6×	`cbrt-div` `add-cbrt-cube` `add-exp-log`
4×	`pow1` `flip3-+` `flip-+` `add-log-exp`
3×	`associate-/r` `pow1/3` `associate-/l`
2×	`associate-/r/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 68

Calls

4 calls:

19.0ms	(/ y.re (+ (* y.re y.re) (* y.im y.im)))
8.0ms	(cbrt (+ (* y.im y.im) (* y.re y.re)))
8.0ms	(cbrt (+ (* y.re y.re) (* y.im y.im)))
16.0ms	(cbrt (+ (* y.re y.re) (* y.im y.im)))

series579.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(/ y.re (+ (* y.re y.re) (* y.im y.im)))
168.0ms	(cbrt (+ (* y.im y.im) (* y.re y.re)))
138.0ms	(cbrt (+ (* y.re y.re) (* y.im y.im)))
181.0ms	(cbrt (+ (* y.re y.re) (* y.im y.im)))

simplify1.1s

Counts

80 → 80

Iterations

Iter	Nodes
done	5003
2	1714
1	317
0	130

prune754.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 20.7b

regimes547.0ms

Accuracy

42.9% (1.0b remaining)

Error of 22.4b against oracle of 21.4b and baseline of 23.2b

bsearch130.0ms

Steps

Iters	Range		Point
6	3.2290769646163133e+91	4.812395195059084e+92	3.297289885168792e+91
8	-1.2665164637226831e-155	-2.6235253916143137e-159	-3.6604818164590216e-156

simplify4.0ms

Iterations

Iter	Nodes
done	40
1	40
0	30

end0.0ms

sample1.2s

Algorithm

intervals

Results

735.0ms

8476×

body

valid