Details

sample94.0ms

Algorithm

intervals

Results

81.0ms

455×

body

valid

simplify225.0ms

Calls

1 calls:

Slowest

225.0ms

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

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.5b

localize30.0ms

Local error

Found 4 expressions with local error:

6.6b	(* (- (* 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))

rewrite930.0ms

Algorithm

rewrite-expression-head

Rules

384×	`add-sqr-sqrt`
333×	`*-un-lft-identity`
299×	`associate-l`
225×	`prod-diff`
166×	`add-cube-cbrt`
129×	`swap-sqr`
105×	`associate-r`
76×	`*-commutative`
75×	`difference-of-squares`
70×	`distribute-lft-out`
64×	`unswap-sqr`
42×	`fma-def`
39×	`distribute-lft-out--`
15×	`fma-neg`
12×	`associate-*l/`
8×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
6×	`distribute-rgt-out`
4×	`expm1-log1p-u` `flip3-+` `flip3--` `frac-add` `flip-+` `insert-posit16` `log1p-expm1-u` `flip--`
2×	`pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `sum-log` `sub-neg` `diff-log`

Calls

4 calls:

Slowest

689.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
122.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)
68.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
40.0ms	(- (* x.re x.re) (* x.im x.im))

series239.0ms

Calls

4 calls:

Slowest

94.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
70.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)
54.0ms	(- (* x.re x.re) (* x.im x.im))
22.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)

simplify1.0m

Calls

661 calls:

Slowest

1.5s	(* (+ (* (* x.re x.re) (* x.re x.re)) (+ (* (* x.im x.im) (* x.im x.im)) (* (* x.re x.re) (* x.im x.im)))) (- (* x.re x.im) (* x.im x.re)))
719.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
579.0ms	(* (- (* x.re x.re) (* x.im x.im)) (* (cbrt x.im) (cbrt x.im)))
469.0ms	(+ (* (* (- (* (* x.re x.re) (* x.re x.re)) (* (* x.im x.im) (* x.im x.im))) x.im) (+ (* (* x.re x.im) (* x.re x.im)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.re x.im) (* x.im x.re))))) (* (+ (* x.re x.re) (* x.im x.im)) (* (+ (pow (* x.re x.im) 3) (pow (* x.im x.re) 3)) x.re)))
421.0ms	(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))

prune4.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
0.2b	(fma (+ 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)

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

22×	`associate-l`
19×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
8×	`associate-r` `*-commutative`
7×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`distribute-lft-out`
4×	`distribute-rgt-out` `associate-*l/`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`flip3-+` `flip3--` `flip-+` `fma-udef` `flip--` `distribute-lft-out--` `difference-of-squares`

Calls

3 calls:

Slowest

88.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
18.0ms	(* (- x.re x.im) x.im)
0.0ms	(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series250.0ms

Calls

3 calls:

Slowest

141.0ms	(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
70.0ms	(* (- x.re x.im) x.im)
39.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)

simplify4.0s

Calls

32 calls:

Slowest

625.0ms	(* (* (* (+ (* x.re x.im) (* x.im x.re)) (+ (* x.re x.im) (* x.im x.re))) (+ (* x.re x.im) (* x.im x.re))) (* (* x.re x.re) x.re))
484.0ms	(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
470.0ms	(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
421.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)
380.0ms	(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))

prune770.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`associate-r`
13×	`add-sqr-sqrt`
12×	`associate-l`
8×	`*-commutative`
7×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`distribute-lft-out`
4×	`distribute-rgt-out`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`distribute-rgt-in` `+-commutative` `distribute-lft-in` `pow-prod-down` `associate-l/` `prod-exp` `associate-r/` `cbrt-unprod` `unswap-sqr`
1×	`flip3-+` `flip3--` `flip-+` `fma-udef` `flip--` `distribute-lft-out--` `difference-of-squares`

Calls

3 calls:

Slowest

110.0ms	(* x.re (+ (* x.re x.im) (* x.im x.re)))
15.0ms	(* (- x.re x.im) x.im)
0.0ms	(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* x.re (+ (* x.re x.im) (* x.im x.re))))

series199.0ms

Calls

3 calls:

Slowest

127.0ms	(fma (+ x.re x.im) (* (- x.re x.im) x.im) (* x.re (+ (* x.re x.im) (* x.im x.re))))
39.0ms	(* (- x.re x.im) x.im)
33.0ms	(* x.re (+ (* x.re x.im) (* x.im x.re)))

simplify3.6s

Calls

47 calls:

Slowest

446.0ms	(+ (* (* x.re x.im) (* x.re x.im)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.re x.im) (* x.im x.re))))
426.0ms	(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
407.0ms	(* (- (pow x.re 3) (pow x.im 3)) x.im)
385.0ms	(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
384.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)

prune766.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite751.0ms

Algorithm

rewrite-expression-head

Rules

110×	`*-un-lft-identity`
103×	`associate-l`
63×	`add-sqr-sqrt`
43×	`distribute-lft-out`
41×	`add-cube-cbrt`
36×	`prod-diff`
28×	`associate-r`
26×	`associate-*r/`
25×	`fma-def`
24×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/`
22×	`associate-+l+`
20×	`flip3-+` `flip-+`
16×	`frac-add`
15×	`*-commutative`
13×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`frac-times`
10×	`unswap-sqr`
9×	`flip3--` `flip--`
6×	`distribute-rgt-out` `add-log-exp`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `sub-neg` `insert-posit16` `log1p-expm1-u`
3×	`+-commutative`
2×	`distribute-lft-out--` `difference-of-squares`
1×	`sum-log`

Calls

4 calls:

Slowest

563.0ms	(+ (* (* x.im (+ x.re x.im)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
81.0ms	(* (* x.im (+ x.re x.im)) (- x.re x.im))
74.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
26.0ms	(* x.im (+ x.re x.im))

series232.0ms

Calls

4 calls:

Slowest

93.0ms	(+ (* (* x.im (+ x.re x.im)) (- x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
76.0ms	(* (* x.im (+ x.re x.im)) (- x.re x.im))
38.0ms	(* x.im (+ x.re x.im))
25.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)

simplify34.6s

Calls

196 calls:

Slowest

1.3s	(* (* (- x.re x.im) (+ x.re x.im)) (- (* x.re x.im) (* x.im x.re)))
894.0ms	(* (+ (* x.re x.re) (+ (* x.im x.im) (* x.re x.im))) (- (* x.re x.im) (* x.im x.re)))
618.0ms	(* (* (+ (* x.re x.re) (- (* x.im x.im) (* x.re x.im))) (+ (* x.re x.re) (+ (* x.im x.im) (* x.re x.im)))) (+ (* (* x.re x.im) (* x.re x.im)) (- (* (* x.im x.re) (* x.im x.re)) (* (* x.re x.im) (* x.im x.re)))))
599.0ms	(+ (* (* (* x.im (- (* x.re x.re) (* x.im x.im))) (- (pow x.re 3) (pow x.im 3))) (- (* x.re x.im) (* x.im x.re))) (* (* (- x.re x.im) (+ (* x.re x.re) (+ (* x.im x.im) (* x.re x.im)))) (* (- (* (* x.re x.im) (* x.re x.im)) (* (* x.im x.re) (* x.im x.re))) x.re)))
594.0ms	(* (- x.re x.im) (- (* x.re x.im) (* x.im x.re)))

prune2.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes167.0ms

Accuracy

0% (0.2b remaining)

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

bsearch4.0ms

end0.0ms

sample2.6s

Algorithm

intervals

Results

2.3s

14585×

body

valid