Details

sample102.0ms

Algorithm

intervals

Results

83.0ms

477×

body

valid

simplify4.6s

Counts

1 → 1

Iterations

Iter	Nodes
7	4371
6	1764
5	723
4	268
3	110
2	50
1	23
0	11

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.4b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x.re (* x.re 3)) (* x.im x.im))
0.2b	(* x.re (* x.re 3))
7.4b	(* (- (* x.re (* x.re 3)) (* x.im x.im)) x.im)

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`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×	`expm1-log1p-u` `log1p-expm1-u`
2×	`flip3--` `associate-l/` `-commutative` `flip--`
1×	`sub-neg` `fma-neg` `diff-log` `prod-diff` `unswap-sqr`

Counts

3 → 58

Calls

3 calls:

31.0ms	(- (* x.re (* x.re 3)) (* x.im x.im))
23.0ms	(* x.re (* x.re 3))
82.0ms	(* (- (* x.re (* x.re 3)) (* x.im x.im)) x.im)

series199.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(- (* x.re (* x.re 3)) (* x.im x.im))
49.0ms	(* x.re (* x.re 3))
102.0ms	(* (- (* x.re (* x.re 3)) (* x.im x.im)) x.im)

simplify2.3s

Counts

67 → 67

Iterations

Iter	Nodes
3	3385
2	764
1	234
0	94

prune613.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 7.3b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* x.re x.re) 3) (* x.im x.im))
0.1b	(* (* x.re x.re) 3)
7.4b	(* (- (* (* x.re x.re) 3) (* x.im x.im)) x.im)

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

17.0ms	(- (* (* x.re x.re) 3) (* x.im x.im))
26.0ms	(* (* x.re x.re) 3)
100.0ms	(* (- (* (* x.re x.re) 3) (* x.im x.im)) x.im)

series203.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(- (* (* x.re x.re) 3) (* x.im x.im))
49.0ms	(* (* x.re x.re) 3)
87.0ms	(* (- (* (* x.re x.re) 3) (* x.im x.im)) x.im)

simplify1.6s

Counts

68 → 68

Iterations

Iter	Nodes
3	2807
2	787
1	245
0	97

prune573.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 7.3b

localize51.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt x.im)
0.7b	(cbrt x.im)
2.5b	(* (* (- (* x.re (* x.re 3)) (* x.im x.im)) (* (cbrt x.im) (cbrt x.im))) (cbrt x.im))
5.1b	(* (- (* x.re (* x.re 3)) (* x.im x.im)) (* (cbrt x.im) (cbrt x.im)))

rewrite274.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log`
11×	`add-cbrt-cube`
10×	`add-sqr-sqrt`
9×	`cbrt-prod` `*-un-lft-identity` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
7×	`associate-r`
6×	`associate-*l/`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `pow1/3` `*-commutative` `flip--`
1×	`unswap-sqr`

Counts

4 → 77

Calls

4 calls:

1.0ms	(cbrt x.im)
1.0ms	(cbrt x.im)
167.0ms	(* (* (- (* x.re (* x.re 3)) (* x.im x.im)) (* (cbrt x.im) (cbrt x.im))) (cbrt x.im))
103.0ms	(* (- (* x.re (* x.re 3)) (* x.im x.im)) (* (cbrt x.im) (cbrt x.im)))

series1.0s

Counts

4 → 12

Calls

4 calls:

293.0ms	(cbrt x.im)
287.0ms	(cbrt x.im)
127.0ms	(* (* (- (* x.re (* x.re 3)) (* x.im x.im)) (* (cbrt x.im) (cbrt x.im))) (cbrt x.im))
337.0ms	(* (- (* x.re (* x.re 3)) (* x.im x.im)) (* (cbrt x.im) (cbrt x.im)))

simplify2.7s

Counts

89 → 89

Iterations

Iter	Nodes
3	4417
2	1125
1	335
0	114

prune852.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 6.1b

localize26.0ms

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

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

66.0ms	(- (* 3 (* x.im (* x.re x.re))) (* x.im (* x.im x.im)))
15.0ms	(* x.im (* x.im x.im))
49.0ms	(* 3 (* x.im (* x.re x.re)))
16.0ms	(* x.im (* x.re x.re))

series221.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(- (* 3 (* x.im (* x.re x.re))) (* x.im (* x.im x.im)))
49.0ms	(* x.im (* x.im x.im))
46.0ms	(* 3 (* x.im (* x.re x.re)))
54.0ms	(* x.im (* x.re x.re))

simplify2.5s

Counts

98 → 98

Iterations

Iter	Nodes
3	4416
2	908
1	300
0	116

prune845.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes84.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	13
1	13
0	9

end0.0ms

sample2.6s

Algorithm

intervals

Results

2.2s

14575×

body

valid