Details

sample199.0ms

Algorithm

intervals

Results

54.0ms

345×

body

valid

simplify16.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	10
1	10
0	7

prune43.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize494.0ms

Local error

Found 1 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 11

Calls

1 calls:

35.0ms

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

series117.0ms

Counts

1 → 3

Calls

1 calls:

117.0ms

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

simplify11.0s

Counts

14 → 14

Iterations

Iter	Nodes
done	5012
4	3367
3	1213
2	398
1	103
0	32

prune359.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
1.1b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.1b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.1b	(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite276.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

89.0ms	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
10.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
17.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
154.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

series2.1s

Counts

4 → 12

Calls

4 calls:

1.3s	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
214.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
403.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
228.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify6.0s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
3	2401
2	876
1	332
0	126

prune1.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize170.0ms

Local error

Found 4 expressions with local error:

1.1b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.1b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.1b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.1b	(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

11.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
10.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
10.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
27.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

series1.1s

Counts

4 → 12

Calls

4 calls:

324.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
217.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
286.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
300.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify6.9s

Counts

64 → 64

Iterations

Iter	Nodes
done	5002
4	3503
3	1079
2	452
1	180
0	67

prune946.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize184.0ms

Local error

Found 4 expressions with local error:

1.1b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.1b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.1b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.1b	(cbrt (* (* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re)))) (cbrt (+ (* x.re y.im) (* x.im y.re)))))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

86×	`cbrt-div`
30×	`flip3-+` `flip-+`
28×	`frac-times`
14×	`associate-*l/`
10×	`cbrt-prod`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
1×	`pow3` `rem-cbrt-cube`

Counts

4 → 75

Calls

4 calls:

10.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
10.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
10.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
145.0ms	(cbrt (* (* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re)))) (cbrt (+ (* x.re y.im) (* x.im y.re)))))

series940.0ms

Counts

4 → 12

Calls

4 calls:

277.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
217.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
209.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
217.0ms	(cbrt (* (* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re)))) (cbrt (+ (* x.re y.im) (* x.im y.re)))))

simplify7.2s

Counts

87 → 87

Iterations

Iter	Nodes
done	5016
4	3610
3	1229
2	588
1	311
0	161

prune1.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes1.4s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end11.0ms

sample2.8s

Algorithm

intervals

Results

1.7s

10423×

body

valid