Details

sample34.0ms

Algorithm

intervals

Results

13.0ms

339×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	124
1	10	124
done	10	124

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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-+`

Counts

1 → 11

Calls

1 calls:

6.0ms

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

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify3.2s

Counts

14 → 14

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	32	3038
1	101	2667
2	338	2667
3	926	2667
4	2518	2667
done	5001	2667

prune86.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

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))))
1.8b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.8b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.8b	(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite65.0ms

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` `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 → 87

Calls

4 calls:

48.0ms	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
4.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
4.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
4.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

series678.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
172.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
170.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
131.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify2.3s

Counts

99 → 99

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	126	40079
1	332	36023
2	891	35616
3	2481	34936
done	5000	34696

prune681.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize99.0ms

Local error

Found 4 expressions with local error:

1.8b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.8b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.8b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.8b	(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

8.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
7.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
7.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
8.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

series670.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
172.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
156.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
181.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify2.6s

Counts

64 → 64

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	67	24884
1	180	23036
2	452	22712
3	1069	22072
4	3515	21472
done	5002	21108

prune611.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (+ (* x.im y.re) (* x.re y.im)) (+ (* x.im y.re) (* x.re y.im)))
0.3b	(* (cbrt (* (+ (* x.im y.re) (* x.re y.im)) (+ (* x.im y.re) (* x.re y.im)))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
1.8b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
29.1b	(cbrt (* (+ (* x.im y.re) (* x.re y.im)) (+ (* x.im y.re) (* x.re y.im))))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-div`
40×	`flip3-+` `flip-+`
36×	`frac-times`
20×	`add-sqr-sqrt`
18×	`associate-*l/`
13×	`pow1`
12×	`cbrt-prod` `-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` `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` `pow-sqr` `pow-prod-up`

Counts

4 → 117

Calls

4 calls:

63.0ms	(* (+ (* x.im y.re) (* x.re y.im)) (+ (* x.im y.re) (* x.re y.im)))
58.0ms	(* (cbrt (* (+ (* x.im y.re) (* x.re y.im)) (+ (* x.im y.re) (* x.re y.im)))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
8.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
25.0ms	(cbrt (* (+ (* x.im y.re) (* x.re y.im)) (+ (* x.im y.re) (* x.re y.im))))

series568.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* (+ (* x.im y.re) (* x.re y.im)) (+ (* x.im y.re) (* x.re y.im)))
61.0ms	(* (cbrt (* (+ (* x.im y.re) (* x.re y.im)) (+ (* x.im y.re) (* x.re y.im)))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
198.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
208.0ms	(cbrt (* (+ (* x.im y.re) (* x.re y.im)) (+ (* x.im y.re) (* x.re y.im))))

simplify2.6s

Counts

129 → 129

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	245	73666
1	657	59080
2	2171	58675
done	5002	57433

prune911.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes415.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	124
1	10	124
done	10	124

end0.0ms

sample901.0ms

Algorithm

intervals

Results

474.0ms

10424×

body

valid