Details

sample67.0ms

Algorithm

intervals

Results

54.0ms

442×

body

valid

simplify305.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

304.0ms

(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.2b

localize35.0ms

Local error

Found 3 expressions with local error:

7.2b	(* x.im (- (* x.re (+ x.re (+ x.re x.re))) (* x.im x.im)))
0.2b	(* x.re (+ x.re (+ x.re x.re)))
0.0b	(- (* x.re (+ x.re (+ x.re x.re))) (* x.im x.im))

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
15×	`associate-r`
10×	`add-cube-cbrt`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`distribute-lft-out`
7×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`associate-l` `associate--l+`
5×	`add-log-exp`
4×	`distribute-rgt1-in` `associate-*r/`
3×	`expm1-log1p-u` `sub-neg` `distribute-rgt-out` `prod-diff` `insert-posit16` `log1p-expm1-u`
2×	`distribute-lft1-in` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr`
1×	`flip3-+` `fma-neg` `diff-log` `flip-+`

Counts

3 → 86

Calls

3 calls:

Slowest

113.0ms	(* x.im (- (* x.re (+ x.re (+ x.re x.re))) (* x.im x.im)))
57.0ms	(* x.re (+ x.re (+ x.re x.re)))
37.0ms	(- (* x.re (+ x.re (+ x.re x.re))) (* x.im x.im))

series153.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

73.0ms	(* x.im (- (* x.re (+ x.re (+ x.re x.re))) (* x.im x.im)))
48.0ms	(- (* x.re (+ x.re (+ x.re x.re))) (* x.im x.im))
32.0ms	(* x.re (+ x.re (+ x.re x.re)))

simplify4.8s

Counts

57 → 95

Calls

57 calls:

Slowest

509.0ms	(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
436.0ms	(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
414.0ms	(+ (* x.re x.re) (- (* (+ x.re x.re) (+ x.re x.re)) (* x.re (+ x.re x.re))))
397.0ms	(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
281.0ms	(* x.im (- (* x.re (+ x.re (+ x.re x.re))) (* x.im x.im)))

prune892.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 7.1b

localize13.0ms

Local error

Found 3 expressions with local error:

7.2b	(* x.im (- (* (* x.re x.re) 3) (* x.im x.im)))
0.2b	(* (* x.re x.re) 3)
0.0b	(- (* (* x.re x.re) 3) (* x.im x.im))

rewrite130.0ms

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×	`distribute-rgt-in` `expm1-log1p-u` `sub-neg` `distribute-lft-in` `prod-diff` `insert-posit16` `log1p-expm1-u`
2×	`flip3--` `associate-r/` `-commutative` `flip--` `unswap-sqr`
1×	`fma-neg` `diff-log`

Counts

3 → 68

Calls

3 calls:

Slowest

94.0ms	(* x.im (- (* (* x.re x.re) 3) (* x.im x.im)))
19.0ms	(- (* (* x.re x.re) 3) (* x.im x.im))
15.0ms	(* (* x.re x.re) 3)

series200.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

98.0ms	(* x.im (- (* (* x.re x.re) 3) (* x.im x.im)))
52.0ms	(* (* x.re x.re) 3)
49.0ms	(- (* (* x.re x.re) 3) (* x.im x.im))

simplify4.9s

Counts

41 → 77

Calls

41 calls:

Slowest

1.0s	(* (* (* x.im x.im) x.im) (* (* (- (* (* x.re x.re) 3) (* x.im x.im)) (- (* (* x.re x.re) 3) (* x.im x.im))) (- (* (* x.re x.re) 3) (* x.im x.im))))
883.0ms	(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
429.0ms	(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
428.0ms	(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
369.0ms	(/ (exp (* (* x.re x.re) 3)) (exp (* x.im x.im)))

prune662.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 7.1b

localize31.0ms

Local error

Found 2 expressions with local error:

7.2b	(* x.im (fma (* x.re x.re) 3 (- (* x.im x.im))))
0.1b	(fma (* x.re x.re) 3 (- (* x.im x.im)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`associate-r` `associate-l` `fma-udef`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

Slowest

11.0ms	(* x.im (fma (* x.re x.re) 3 (- (* x.im x.im))))
0.0ms	(fma (* x.re x.re) 3 (- (* x.im x.im)))

series159.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

98.0ms	(* x.im (fma (* x.re x.re) 3 (- (* x.im x.im))))
61.0ms	(fma (* x.re x.re) 3 (- (* x.im x.im)))

simplify2.8s

Counts

18 → 40

Calls

18 calls:

Slowest

1.0s	(* (* (* x.im x.im) x.im) (* (* (fma (* x.re x.re) 3 (- (* x.im x.im))) (fma (* x.re x.re) 3 (- (* x.im x.im)))) (fma (* x.re x.re) 3 (- (* x.im x.im)))))
400.0ms	(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
391.0ms	(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
383.0ms	(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
92.0ms	(* x.im (fma (* x.re x.re) 3 (- (* x.im x.im))))

prune318.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 7.1b

localize41.0ms

Local error

Found 4 expressions with local error:

7.7b	(* (* x.re x.re) x.im)
7.2b	(* (- (* x.re (+ x.re x.re)) (* x.im x.im)) x.im)
0.2b	(+ (* (* x.re x.re) x.im) (* (- (* x.re (+ x.re x.re)) (* x.im x.im)) x.im))
0.0b	(- (* x.re (+ x.re x.re)) (* x.im x.im))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

Slowest

71.0ms	(* (- (* x.re (+ x.re x.re)) (* x.im x.im)) x.im)
31.0ms	(+ (* (* x.re x.re) x.im) (* (- (* x.re (+ x.re x.re)) (* x.im x.im)) x.im))
25.0ms	(* (* x.re x.re) x.im)
24.0ms	(- (* x.re (+ x.re x.re)) (* x.im x.im))

series268.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

99.0ms	(* (- (* x.re (+ x.re x.re)) (* x.im x.im)) x.im)
98.0ms	(+ (* (* x.re x.re) x.im) (* (- (* x.re (+ x.re x.re)) (* x.im x.im)) x.im))
51.0ms	(- (* x.re (+ x.re x.re)) (* x.im x.im))
19.0ms	(* (* x.re x.re) x.im)

simplify5.4s

Counts

41 → 92

Calls

41 calls:

Slowest

740.0ms	(* (* (* (- (* x.re (+ x.re x.re)) (* x.im x.im)) (- (* x.re (+ x.re x.re)) (* x.im x.im))) (- (* x.re (+ x.re x.re)) (* x.im x.im))) (* (* x.im x.im) x.im))
429.0ms	(- (* 2 (* x.im (pow x.re 2))) (pow x.im 3))
381.0ms	(- (* 2 (* x.im (pow x.re 2))) (pow x.im 3))
372.0ms	(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
372.0ms	(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))

prune838.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 7.1b

regimes107.0ms

Accuracy

0% (0.1b remaining)

Error of 7.0b against oracle of 6.8b and baseline of 7.0b

bsearch3.0ms

end0.0ms

sample2.8s

Algorithm

intervals

Results

2.6s

14374×

body

valid