Details

sample67.0ms

Algorithm

intervals

Results

52.0ms

428×

body

valid

simplify2.6s

Counts: 1 → 1

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.3b

localize49.0ms

Local error

Found 4 expressions with local error:

6.3b	(* (- (* x.re x.re) (* x.im x.im)) x.im)
0.2b	(* (+ (* 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))
0.0b	(- (* x.re x.re) (* x.im x.im))

rewrite133.0ms

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

Counts

4 → 73

Calls

4 calls:

Slowest

44.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)
40.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
35.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
13.0ms	(- (* x.re x.re) (* x.im x.im))

series304.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

125.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
95.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)
62.0ms	(- (* x.re x.re) (* x.im x.im))
22.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)

simplify641.0ms

Counts: 85 → 85

prune697.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

44×	`associate-*l/`
19×	`flip3-+` `flip-+`
16×	`frac-add`
15×	`add-sqr-sqrt`
13×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
12×	`frac-times` `associate-l`
10×	`flip3--` `flip--`
9×	`add-cube-cbrt`
7×	`associate-r`
6×	`associate-*r/` `add-log-exp`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`insert-posit16`
3×	`*-commutative`
2×	`unswap-sqr`
1×	`+-commutative` `sum-log` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 100

Calls

4 calls:

Slowest

69.0ms	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
35.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
34.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.im))
26.0ms	(* (- x.re x.im) x.im)

series257.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

107.0ms	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
84.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.im))
43.0ms	(* (- x.re x.im) x.im)
23.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)

simplify1.4s

Counts: 112 → 112

prune1.1s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

25.5b	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
25.5b	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
25.5b	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.3b	(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (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:

Slowest

37.0ms	(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
17.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
8.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
7.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series650.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

206.0ms	(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
157.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
156.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
130.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify869.0ms

Counts: 88 → 88

prune1.1s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

25.5b	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
25.5b	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
16.0b	(cbrt (+ (* x.re x.im) (* x.im x.re)))
0.6b	(cbrt x.re)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

Slowest

8.0ms	(cbrt (+ (* x.re x.im) (* x.im 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))
1.0ms	(cbrt x.re)

series711.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

285.0ms	(cbrt x.re)
156.0ms	(cbrt (+ (* x.re x.im) (* x.im x.re)))
149.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
121.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify1.8s

Counts: 62 → 62

prune946.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0.0b

regimes202.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch4.0ms

end0.0ms

sample2.5s

Algorithm

intervals

Results

2.1s

14527×

body

valid