Details

sample83.0ms

Algorithm

intervals

Results

68.0ms

496×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
6	2754
5	1086
4	382
3	146
2	55
1	24
0	11

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 3 (* x.im x.im))
9.1b	(* (- (* x.re x.re) (* 3 (* x.im x.im))) x.re)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
6×	`associate-l`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `associate-l/` `-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`flip3--` `flip--`

Counts

2 → 45

Calls

2 calls:

20.0ms	(* 3 (* x.im x.im))
29.0ms	(* (- (* x.re x.re) (* 3 (* x.im x.im))) x.re)

series124.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* 3 (* x.im x.im))
74.0ms	(* (- (* x.re x.re) (* 3 (* x.im x.im))) x.re)

simplify2.0s

Counts

51 → 51

Iterations

Iter	Nodes
3	3429
2	760
1	214
0	81

prune359.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 8.9b

localize19.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* 3 x.im) x.im)
9.1b	(* (- (* x.re x.re) (* (* 3 x.im) x.im)) x.re)

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`add-sqr-sqrt`
6×	`associate-r`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `associate-l/` `-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

2 → 44

Calls

2 calls:

28.0ms	(* (* 3 x.im) x.im)
49.0ms	(* (- (* x.re x.re) (* (* 3 x.im) x.im)) x.re)

series126.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* (* 3 x.im) x.im)
87.0ms	(* (- (* x.re x.re) (* (* 3 x.im) x.im)) x.re)

simplify2.5s

Counts

50 → 50

Iterations

Iter	Nodes
3	2791
2	748
1	205
0	82

prune333.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 8.9b

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.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.1b	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
9.0b	(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite120.0ms

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`
4×	`expm1-log1p-u` `flip3-+` `flip3--` `frac-sub` `flip-+` `insert-posit16` `log1p-expm1-u` `flip--`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sum-log` `sub-neg` `fma-def` `fma-neg` `diff-log` `prod-diff` `difference-of-squares`

Counts

4 → 83

Calls

4 calls:

16.0ms	(+ (* x.re x.im) (* x.im x.re))
54.0ms	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
21.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
27.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.re)

series216.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (* x.re x.im) (* x.im x.re))
95.0ms	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
32.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
58.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify11.4s

Counts

95 → 95

Iterations

Iter	Nodes
3	8327
2	1913
1	434
0	153

prune741.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

localize45.0ms

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

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

42×	`associate-*l/`
19×	`flip3-+` `flip-+`
16×	`frac-sub`
12×	`frac-times`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`flip3--` `flip--`
9×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-log-exp`
7×	`associate-l` `add-cube-cbrt`
6×	`associate-*r/`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
2×	`*-commutative`
1×	`+-commutative` `sum-log` `sub-neg` `fma-def` `fma-neg` `diff-log` `prod-diff` `distribute-lft-out` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

14.0ms	(+ (* x.re x.im) (* x.im x.re))
87.0ms	(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
25.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
59.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.re))

series229.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (* x.re x.im) (* x.im x.re))
93.0ms	(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
46.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
65.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify1.2s

Counts

113 → 113

Iterations

Iter	Nodes
2	4502
1	772
0	215

prune792.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.0b

regimes159.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	16
1	16
0	11

end0.0ms

sample2.7s

Algorithm

intervals

Results

2.0s

14422×

body

valid