Details

sample30.0ms

Algorithm

intervals

Results

17.0ms

465×

body

valid

simplify61.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	23	8
1	56	7
2	129	7
3	353	5
4	948	5
5	2260	5
6	5001	5
done	5001	5

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
0.2b	(* 3 (* x.im (* x.re x.re)))
6.9b	(* x.im (* x.re x.re))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`prod-diff`
9×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
5×	`add-log-exp`
3×	`expm1-log1p-u` `unpow-prod-down` `cube-prod` `log1p-expm1-u`
2×	`associate-r` `*-commutative`
1×	`cube-mult` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `flip--` `unswap-sqr` `sqr-pow`

Counts

3 → 71

Calls

3 calls:

52.0ms	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
42.0ms	(* 3 (* x.im (* x.re x.re)))
19.0ms	(* x.im (* x.re x.re))

series120.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
36.0ms	(* 3 (* x.im (* x.re x.re)))
31.0ms	(* x.im (* x.re x.re))

simplify66.0ms

Counts

80 → 80

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	341	461
1	1599	389
2	5001	386
done	5001	386

prune130.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
0.2b	(* 3 (* (* x.im x.re) x.re))
0.2b	(* (* x.im x.re) x.re)

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`prod-diff`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `unpow-prod-down` `cube-prod` `log1p-expm1-u`
2×	`*-commutative`
1×	`cube-mult` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `flip--` `sqr-pow`

Counts

3 → 70

Calls

3 calls:

54.0ms	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
47.0ms	(* 3 (* (* x.im x.re) x.re))
18.0ms	(* (* x.im x.re) x.re)

series121.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
37.0ms	(* 3 (* (* x.im x.re) x.re))
30.0ms	(* (* x.im x.re) x.re)

simplify75.0ms

Counts

79 → 79

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	353	461
1	1898	388
2	5002	386
done	5002	386

prune134.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
0.2b	(* (* 3 (* x.im x.re)) x.re)
0.3b	(* 3 (* x.im x.re))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`prod-diff`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `unpow-prod-down` `cube-prod` `log1p-expm1-u`
2×	`*-commutative`
1×	`cube-mult` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `flip--` `sqr-pow`

Counts

3 → 70

Calls

3 calls:

55.0ms	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
48.0ms	(* (* 3 (* x.im x.re)) x.re)
16.0ms	(* 3 (* x.im x.re))

series112.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
34.0ms	(* (* 3 (* x.im x.re)) x.re)
20.0ms	(* 3 (* x.im x.re))

simplify79.0ms

Counts

79 → 79

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	353	457
1	1904	388
2	5002	386
done	5002	386

prune123.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* (sqrt 3) (* (sqrt 3) (* x.im x.re))) x.re) (pow x.im 3))
0.2b	(* (* (sqrt 3) (* (sqrt 3) (* x.im x.re))) x.re)
0.3b	(* (sqrt 3) (* (sqrt 3) (* x.im x.re)))
0.3b	(* (sqrt 3) (* x.im x.re))

rewrite393.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log` `add-cbrt-cube`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`associate-l`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `prod-diff`
6×	`sqrt-prod` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`unpow-prod-down` `cube-prod` `*-commutative`
1×	`cube-mult` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `flip--` `sqr-pow`

Counts

4 → 102

Calls

4 calls:

164.0ms	(- (* (* (sqrt 3) (* (sqrt 3) (* x.im x.re))) x.re) (pow x.im 3))
153.0ms	(* (* (sqrt 3) (* (sqrt 3) (* x.im x.re))) x.re)
51.0ms	(* (sqrt 3) (* (sqrt 3) (* x.im x.re)))
22.0ms	(* (sqrt 3) (* x.im x.re))

series331.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(- (* (* (sqrt 3) (* (sqrt 3) (* x.im x.re))) x.re) (pow x.im 3))
112.0ms	(* (* (sqrt 3) (* (sqrt 3) (* x.im x.re))) x.re)
77.0ms	(* (sqrt 3) (* (sqrt 3) (* x.im x.re)))
44.0ms	(* (sqrt 3) (* x.im x.re))

simplify92.0ms

Counts

114 → 114

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	438	809
1	2306	597
2	5001	596
done	5001	596

prune189.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes52.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5
done	11	5

end0.0ms

sample849.0ms

Algorithm

intervals

Results

548.0ms

14576×

body

valid