Details

sample65.0ms

Algorithm

intervals

Results

43.0ms

446×

body

valid

simplify3.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	1929
4	533
3	180
2	66
1	24
0	11

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (- (* x.re x.im)) (* 3 x.im) (pow x.re 3))

series74.0ms

Counts

1 → 3

Calls

1 calls:

74.0ms

(fma (- (* x.re x.im)) (* 3 x.im) (pow x.re 3))

simplify630.0ms

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
3	939
2	174
1	54
0	23

prune83.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`*-commutative`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `flip-+`

Counts

3 → 57

Calls

3 calls:

64.0ms	(+ (* (* x.im (* x.re x.im)) -3) (pow x.re 3))
24.0ms	(* x.im (* x.re x.im))
70.0ms	(* (* x.im (* x.re x.im)) -3)

series160.0ms

Counts

3 → 9

Calls

3 calls:

114.0ms	(+ (* (* x.im (* x.re x.im)) -3) (pow x.re 3))
22.0ms	(* x.im (* x.re x.im))
23.0ms	(* (* x.im (* x.re x.im)) -3)

simplify1.1s

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
2	1417
1	252
0	90

prune346.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`*-commutative`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `flip-+`

Counts

3 → 57

Calls

3 calls:

43.0ms	(+ (* x.im (* (* x.re x.im) -3)) (pow x.re 3))
46.0ms	(* x.im (* (* x.re x.im) -3))
20.0ms	(* (* x.re x.im) -3)

series179.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(+ (* x.im (* (* x.re x.im) -3)) (pow x.re 3))
39.0ms	(* x.im (* (* x.re x.im) -3))
34.0ms	(* (* x.re x.im) -3)

simplify1.2s

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
2	1541
1	264
0	92

prune355.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x.im (pow (* (* -3 x.im) x.re) 1)) (pow x.re 3))
0.2b	(* x.im (pow (* (* -3 x.im) x.re) 1))
0.2b	(* (* -3 x.im) x.re)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log`
11×	`prod-exp`
10×	`add-cbrt-cube`
9×	`add-sqr-sqrt` `pow1`
8×	`associate-r`
6×	`*-un-lft-identity` `add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-l` `pow-prod-down` `cbrt-unprod`
3×	`expm1-log1p-u` `pow-exp` `log1p-expm1-u`
2×	`*-commutative` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `unpow-prod-down` `fma-def` `flip3-+` `flip-+`

Counts

3 → 61

Calls

3 calls:

29.0ms	(+ (* x.im (pow (* (* -3 x.im) x.re) 1)) (pow x.re 3))
16.0ms	(* x.im (pow (* (* -3 x.im) x.re) 1))
14.0ms	(* (* -3 x.im) x.re)

series193.0ms

Counts

3 → 9

Calls

3 calls:

133.0ms	(+ (* x.im (pow (* (* -3 x.im) x.re) 1)) (pow x.re 3))
26.0ms	(* x.im (pow (* (* -3 x.im) x.re) 1))
34.0ms	(* (* -3 x.im) x.re)

simplify1.4s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	1810
1	301
0	110

prune343.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes96.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	13
1	13
0	9

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.6s

14238×

body

valid