Details

sample65.0ms

Algorithm

intervals

Results

46.0ms

473×

body

valid

simplify6.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4454
6	1781
5	723
4	268
3	110
2	50
1	23
0	11

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.9b

localize26.0ms

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))
0.2b	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
6.0b	(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite129.0ms

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` `insert-posit16` `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 → 81

Calls

4 calls:

12.0ms	(+ (* x.re x.im) (* x.im x.re))
33.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
34.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
47.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)

series274.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (* x.re x.im) (* x.im x.re))
103.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
46.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
95.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify2.9s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1801
1	430
0	147

prune460.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
23×	`add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-l`
8×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-log-exp`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-r` `*-commutative`
1×	`pow2` `sub-neg` `pow-plus` `flip3--` `fma-neg` `diff-log` `cube-unmult` `prod-diff` `pow-sqr` `flip--` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

89.0ms	(- (* 3 (* x.re (* x.re x.im))) (* x.im (* x.im x.im)))
23.0ms	(* x.im (* x.im x.im))
85.0ms	(* 3 (* x.re (* x.re x.im)))
34.0ms	(* x.re (* x.re x.im))

series265.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(- (* 3 (* x.re (* x.re x.im))) (* x.im (* x.im x.im)))
65.0ms	(* x.im (* x.im x.im))
38.0ms	(* 3 (* x.re (* x.re x.im)))
33.0ms	(* x.re (* x.re x.im))

simplify1.6s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	1179
1	306
0	121

prune406.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite189.0ms

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`
6×	`associate-l`
5×	`add-log-exp`
3×	`expm1-log1p-u` `unpow-prod-down` `cube-prod` `insert-posit16` `log1p-expm1-u`
2×	`associate-r` `*-commutative`
1×	`cube-mult` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `flip--` `sqr-pow`

Counts

3 → 73

Calls

3 calls:

86.0ms	(- (* 3 (* x.re (* x.re x.im))) (pow x.im 3))
65.0ms	(* 3 (* x.re (* x.re x.im)))
34.0ms	(* x.re (* x.re x.im))

series182.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(- (* 3 (* x.re (* x.re x.im))) (pow x.im 3))
30.0ms	(* 3 (* x.re (* x.re x.im)))
33.0ms	(* x.re (* x.re x.im))

simplify1.5s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
2	1259
1	338
0	143

prune297.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite196.0ms

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`
6×	`associate-l`
5×	`add-log-exp`
3×	`expm1-log1p-u` `unpow-prod-down` `cube-prod` `insert-posit16` `log1p-expm1-u`
2×	`associate-r` `*-commutative`
1×	`cube-mult` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `flip--` `sqr-pow`

Counts

3 → 73

Calls

3 calls:

80.0ms	(- (* x.re (* 3 (* x.re x.im))) (pow x.im 3))
78.0ms	(* x.re (* 3 (* x.re x.im)))
35.0ms	(* 3 (* x.re x.im))

series165.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(- (* x.re (* 3 (* x.re x.im))) (pow x.im 3))
34.0ms	(* x.re (* 3 (* x.re x.im)))
21.0ms	(* 3 (* x.re x.im))

simplify1.4s

Counts

82 → 82

Iterations

Iter	Nodes
done	5012
2	1329
1	342
0	146

prune384.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes112.0ms

Accuracy

0% (0.2b 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

sample2.1s

Algorithm

intervals

Results

1.8s

14233×

body

valid