Details

sample63.0ms

Algorithm

intervals

Results

40.0ms

457×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

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

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.9b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 3 (* x.re x.re)) (* x.im x.im))
0.2b	(* 3 (* x.re x.re))
8.3b	(* x.im (- (* 3 (* x.re x.re)) (* x.im x.im)))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt`
6×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-rgt-in` `expm1-log1p-u` `sub-neg` `distribute-lft-in` `prod-diff` `log1p-expm1-u`
2×	`flip3--` `associate-r/` `-commutative` `flip--` `unswap-sqr`
1×	`fma-neg` `diff-log`

Counts

3 → 65

Calls

3 calls:

15.0ms	(- (* 3 (* x.re x.re)) (* x.im x.im))
15.0ms	(* 3 (* x.re x.re))
82.0ms	(* x.im (- (* 3 (* x.re x.re)) (* x.im x.im)))

series172.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(- (* 3 (* x.re x.re)) (* x.im x.im))
27.0ms	(* 3 (* x.re x.re))
85.0ms	(* x.im (- (* 3 (* x.re x.re)) (* x.im x.im)))

simplify1.8s

Counts

74 → 74

Iterations

Iter	Nodes
done	5001
2	1898
1	304
0	102

prune415.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite162.0ms

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-r*` `add-cube-cbrt`
6×	`add-log-exp`
5×	`associate-l` `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:

58.0ms	(- (* (* (* x.im 3) x.re) x.re) (* x.im (* x.im x.im)))
13.0ms	(* x.im (* x.im x.im))
54.0ms	(* (* (* x.im 3) x.re) x.re)
34.0ms	(* (* x.im 3) x.re)

series205.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(- (* (* (* x.im 3) x.re) x.re) (* x.im (* x.im x.im)))
53.0ms	(* x.im (* x.im x.im))
43.0ms	(* (* (* x.im 3) x.re) x.re)
26.0ms	(* (* x.im 3) x.re)

simplify2.7s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	2559
1	341
0	120

prune433.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite126.0ms

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

Counts

3 → 70

Calls

3 calls:

54.0ms	(- (* (* (* x.im 3) x.re) x.re) (pow x.im 3))
53.0ms	(* (* (* x.im 3) x.re) x.re)
17.0ms	(* (* x.im 3) x.re)

series169.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(- (* (* (* x.im 3) x.re) x.re) (pow x.im 3))
64.0ms	(* (* (* x.im 3) x.re) x.re)
34.0ms	(* (* x.im 3) x.re)

simplify2.2s

Counts

79 → 79

Iterations

Iter	Nodes
done	5001
2	2609
1	396
0	143

prune457.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize13.0ms

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	(* 3 (* x.im x.re))

rewrite147.0ms

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:

59.0ms	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
65.0ms	(* (* 3 (* x.im x.re)) x.re)
22.0ms	(* 3 (* x.im x.re))

series130.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
42.0ms	(* (* 3 (* x.im x.re)) x.re)
25.0ms	(* 3 (* x.im x.re))

simplify3.1s

Counts

79 → 79

Iterations

Iter	Nodes
done	5001
2	2363
1	384
0	143

prune362.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes182.0ms

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

sample1.7s

Algorithm

intervals

Results

1.3s

14391×

body

valid