Details

sample62.0ms

Algorithm

intervals

Results

45.0ms

450×

body

valid

simplify5.0s

Counts

1 → 1

Iterations

Useful iterations: 5 (230.0ms)

Iter	Nodes	Cost
0	11	19
1	20	19
2	45	17
3	108	17
4	245	13
5	623	11
6	1346	11
7	3740	11
done	5001	11

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x.re x.im) (* x.im x.re))
0.1b	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.1b	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
6.0b	(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `associate-*l/`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
7×	`associate-l`
6×	`associate-r`
5×	`flip3-+` `flip-+`
4×	`frac-add`
3×	`flip3--` `flip--`
2×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`difference-of-squares`

Counts

4 → 67

Calls

4 calls:

11.0ms	(+ (* x.re x.im) (* x.im x.re))
46.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
28.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
44.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)

series241.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (* x.re x.im) (* x.im x.re))
98.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
36.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
73.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify1.3s

Counts

79 → 79

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	135	1507
1	399	1393
2	1698	1127
done	5001	1029

prune323.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x.re x.im) (* x.im x.re))
0.1b	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.1b	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
0.2b	(* (+ x.re x.im) (* (- x.re x.im) x.im))

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

42×	`associate-*l/`
20×	`flip3-+` `flip-+`
16×	`frac-add`
12×	`frac-times`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt` `flip3--` `*-un-lft-identity` `flip--`
8×	`add-log-exp`
7×	`add-cube-cbrt` `associate-l`
6×	`associate-*r/`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `sum-log` `*-commutative`
1×	`distribute-lft-out` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

8.0ms	(+ (* x.re x.im) (* x.im x.re))
84.0ms	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
47.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
67.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.im))

series260.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (* x.re x.im) (* x.im x.re))
104.0ms	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
38.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
87.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify3.8s

Counts

97 → 97

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	197	2664
1	702	2442
2	3667	1942
done	5000	1514

prune326.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* x.re (* x.im (+ x.re x.re)))) (cbrt (* x.re (* x.im (+ x.re x.re)))))
25.3b	(cbrt (* x.re (* x.im (+ x.re x.re))))
25.3b	(cbrt (* x.re (* x.im (+ x.re x.re))))
25.3b	(cbrt (* x.re (* x.im (+ x.re x.re))))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

80.0ms	(* (cbrt (* x.re (* x.im (+ x.re x.re)))) (cbrt (* x.re (* x.im (+ x.re x.re)))))
30.0ms	(cbrt (* x.re (* x.im (+ x.re x.re))))
27.0ms	(cbrt (* x.re (* x.im (+ x.re x.re))))
47.0ms	(cbrt (* x.re (* x.im (+ x.re x.re))))

series704.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(* (cbrt (* x.re (* x.im (+ x.re x.re)))) (cbrt (* x.re (* x.im (+ x.re x.re)))))
182.0ms	(cbrt (* x.re (* x.im (+ x.re x.re))))
160.0ms	(cbrt (* x.re (* x.im (+ x.re x.re))))
138.0ms	(cbrt (* x.re (* x.im (+ x.re x.re))))

simplify2.1s

Counts

84 → 84

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	121	1434
1	272	1200
2	687	1004
3	1878	837
done	5000	793

prune350.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x.re) (cbrt x.re))
0.6b	(cbrt x.re)
0.6b	(cbrt x.re)
0.6b	(cbrt x.re)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

20.0ms	(* (cbrt x.re) (cbrt x.re))
1.0ms	(cbrt x.re)
1.0ms	(cbrt x.re)
2.0ms	(cbrt x.re)

series1.2s

Counts

4 → 12

Calls

4 calls:

315.0ms	(* (cbrt x.re) (cbrt x.re))
261.0ms	(cbrt x.re)
321.0ms	(cbrt x.re)
261.0ms	(cbrt x.re)

simplify5.5s

Counts

85 → 85

Iterations

Useful iterations: done (5.5s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune375.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes58.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	17	19
done	17	19

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.6s

14440×

body

valid