Details

sample108.0ms

Algorithm

intervals

Results

89.0ms

454×

body

valid

simplify1.0s

Counts: 1 → 1

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.8b

localize54.0ms

Local error

Found 4 expressions with local error:

5.8b	(* (- (* x.re x.re) (* x.im x.im)) x.re)
0.2b	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
0.1b	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.0b	(+ (* x.re x.im) (* x.im x.re))

rewrite131.0ms

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

Counts

4 → 72

Calls

4 calls:

Slowest

59.0ms	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
33.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
22.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.re)
15.0ms	(+ (* x.re x.im) (* x.im x.re))

series232.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

80.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.re)
65.0ms	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
44.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
42.0ms	(+ (* x.re x.im) (* x.im x.re))

simplify3.8s

Counts: 84 → 84

prune791.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite182.0ms

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×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
2×	`*-commutative`
1×	`+-commutative` `sum-log` `sub-neg` `diff-log` `distribute-lft-out` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

Slowest

82.0ms	(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
42.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.re))
41.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
14.0ms	(+ (* x.re x.im) (* x.im x.re))

series225.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

94.0ms	(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
61.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.re))
38.0ms	(+ (* x.re x.im) (* x.im x.re))
32.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)

simplify2.0s

Counts: 102 → 102

prune1.0s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

24.3b	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
24.3b	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
24.3b	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.4b	(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)))

rewrite111.0ms

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

67.0ms	(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)))
14.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
14.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
14.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))

series688.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

206.0ms	(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im)))
188.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
165.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
130.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))

simplify893.0ms

Counts: 88 → 88

prune1.0s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize96.0ms

Local error

Found 4 expressions with local error:

24.3b	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
24.3b	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
24.3b	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
24.3b	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 48

Calls

4 calls:

Slowest

23.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
15.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
15.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
14.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))

series620.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

172.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
160.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
150.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))
139.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.im))

simplify1.2s

Counts: 60 → 60

prune855.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes179.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch2.0ms

end0.0ms

sample2.9s

Algorithm

intervals

Results

2.5s

14471×

body

valid