Details

sample83.0ms

Algorithm

intervals

Results

64.0ms

469×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
7	2976
6	1158
5	553
4	222
3	115
2	51
1	20
0	11

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.8b

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.im x.re)) x.re)
0.1b	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
4.9b	(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite92.0ms

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×	`frac-add` `insert-posit16`
3×	`flip3--` `flip--`
2×	`+-commutative` `sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`difference-of-squares`

Counts

4 → 71

Calls

4 calls:

10.0ms	(+ (* x.re x.im) (* x.im x.re))
29.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
23.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
29.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)

series249.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (* x.re x.im) (* x.im x.re))
37.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
83.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
100.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify5.2s

Counts

83 → 83

Iterations

Iter	Nodes
3	9563
2	1790
1	409
0	139

prune801.0ms

Pruning

10 alts after pruning (10 fresh and 0 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.im x.re)) x.re)
0.1b	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.2b	(* (+ x.re x.im) (* (- x.re x.im) x.im))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

16.0ms	(+ (* x.re x.im) (* x.im x.re))
38.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
51.0ms	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
66.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.im))

series281.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (* x.re x.im) (* x.im x.re))
37.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
108.0ms	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
96.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify1.3s

Counts

101 → 101

Iterations

Iter	Nodes
2	4237
1	717
0	201

prune1.1s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.1b

localize71.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
26.2b	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
26.2b	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
26.2b	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `associate-*r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

48.0ms	(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
7.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
7.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
7.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series585.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
146.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
117.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
125.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify2.1s

Counts

88 → 88

Iterations

Iter	Nodes
4	4893
3	1781
2	770
1	308
0	126

prune878.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.1b

localize63.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt 2)
26.2b	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
26.2b	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
26.3b	(cbrt (* x.re (* x.re x.im)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `associate-*l/` `add-exp-log` `insert-posit16` `add-log-exp`
2×	`flip3-+` `flip-+`

Counts

4 → 46

Calls

4 calls:

1.0ms	(cbrt 2)
7.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
7.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
12.0ms	(cbrt (* x.re (* x.re x.im)))

series367.0ms

Counts

4 → 10

Calls

4 calls:

0.0ms	(cbrt 2)
125.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
128.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
113.0ms	(cbrt (* x.re (* x.re x.im)))

simplify1.0s

Counts

56 → 56

Iterations

Iter	Nodes
4	2672
3	985
2	462
1	212
0	99

prune701.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.1b

regimes250.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	21
1	21
0	14

end0.0ms

sample2.7s

Algorithm

intervals

Results

2.3s

14377×

body

valid