Details

sample42.0ms

Algorithm

intervals

Results

26.0ms

437×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	1519
4	433
3	149
2	61
1	23
0	11

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.7b

localize22.0ms

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.im x.re)) x.re)
0.2b	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
6.2b	(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `associate-*l/`
8×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
7×	`associate-l`
6×	`associate-r`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `frac-add` `log1p-expm1-u`
3×	`flip3--` `flip--`
2×	`+-commutative` `sum-log` `fma-def` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`difference-of-squares`

Counts

4 → 77

Calls

4 calls:

6.0ms	(+ (* x.re x.im) (* x.im x.re))
30.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
32.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
33.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)

series196.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (* x.re x.im) (* x.im x.re))
23.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
86.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
64.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify2.4s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
2	2667
1	439
0	143

prune475.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 3 (* (* x.im x.re) x.re)) (* x.im (* x.im x.im)))
0.1b	(* x.im (* x.im x.im))
0.1b	(* (* x.im x.re) x.re)
0.2b	(* 3 (* (* x.im x.re) x.re))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
23×	`add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt`
7×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
6×	`add-log-exp`
5×	`associate-r` `pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`*-commutative`
1×	`pow2` `sub-neg` `pow-plus` `flip3--` `fma-neg` `diff-log` `cube-unmult` `prod-diff` `pow-sqr` `flip--` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

55.0ms	(- (* 3 (* (* x.im x.re) x.re)) (* x.im (* x.im x.im)))
27.0ms	(* x.im (* x.im x.im))
18.0ms	(* (* x.im x.re) x.re)
50.0ms	(* 3 (* (* x.im x.re) x.re))

series217.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(- (* 3 (* (* x.im x.re) x.re)) (* x.im (* x.im x.im)))
60.0ms	(* x.im (* x.im x.im))
47.0ms	(* (* x.im x.re) x.re)
35.0ms	(* 3 (* (* x.im x.re) x.re))

simplify2.1s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	2102
1	330
0	119

prune443.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
0.1b	(* (* x.im x.re) x.re)
0.2b	(* 3 (* (* x.im x.re) x.re))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`prod-diff`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
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:

51.0ms	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
26.0ms	(* (* x.im x.re) x.re)
49.0ms	(* 3 (* (* x.im x.re) x.re))

series168.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
45.0ms	(* (* x.im x.re) x.re)
55.0ms	(* 3 (* (* x.im x.re) x.re))

simplify2.8s

Counts

79 → 79

Iterations

Iter	Nodes
done	5002
2	2334
1	387
0	142

prune422.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
0.1b	(* (* 3 (* x.im x.re)) x.re)
0.2b	(* 3 (* x.im x.re))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`prod-diff`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
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:

48.0ms	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
64.0ms	(* (* 3 (* x.im x.re)) x.re)
22.0ms	(* 3 (* x.im x.re))

series157.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
50.0ms	(* (* 3 (* x.im x.re)) x.re)
35.0ms	(* 3 (* x.im x.re))

simplify2.8s

Counts

79 → 79

Iterations

Iter	Nodes
done	5001
2	2363
1	384
0	143

prune380.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes117.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.6s

14354×

body

valid