Details

sample27.0ms

Algorithm

intervals

Results

16.0ms

341×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	20	3
2	24	3
3	24	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x.re y.re) (* x.im y.im))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `fma-neg` `diff-log` `prod-diff` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 16

Calls

1 calls:

3.0ms

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

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify78.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	105	92
1	362	83
2	1107	83
3	2622	80
4	5001	80

prune49.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x.re y.re (- (* x.im y.im)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma x.re y.re (- (* x.im y.im)))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(fma x.re y.re (- (* x.im y.im)))

simplify125.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	30	55
1	59	48
2	197	48
3	764	48
4	4225	48
5	5001	48

prune33.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x.re y.re) (* x.im y.im))
0.3b	(* (fma x.re y.re (* x.im y.im)) (- (* x.re y.re) (* x.im y.im)))
26.2b	(/ (* (fma x.re y.re (* x.im y.im)) (- (* x.re y.re) (* x.im y.im))) (fma x.re y.re (* x.im y.im)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-log-exp`
4×	`associate-*r/`
3×	`distribute-rgt-in` `expm1-log1p-u` `sub-neg` `flip3--` `distribute-lft-in` `times-frac` `associate-r` `associate-l` `prod-diff` `associate-/r*` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`frac-2neg` `fma-neg` `diff-log` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 69

Calls

3 calls:

3.0ms	(- (* x.re y.re) (* x.im y.im))
10.0ms	(* (fma x.re y.re (* x.im y.im)) (- (* x.re y.re) (* x.im y.im)))
11.0ms	(/ (* (fma x.re y.re (* x.im y.im)) (- (* x.re y.re) (* x.im y.im))) (fma x.re y.re (* x.im y.im)))

series183.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(- (* x.re y.re) (* x.im y.im))
110.0ms	(* (fma x.re y.re (* x.im y.im)) (- (* x.re y.re) (* x.im y.im)))
35.0ms	(/ (* (fma x.re y.re (* x.im y.im)) (- (* x.re y.re) (* x.im y.im))) (fma x.re y.re (* x.im y.im)))

simplify53.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	287	672
1	1637	573
2	5001	541

prune171.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y.re x.re) (* y.im x.im))
0.3b	(* (fma x.re y.re (* x.im y.im)) (+ (- (* y.re x.re) (* y.im x.im)) (fma (- y.im) x.im (* y.im x.im))))
26.2b	(/ (* (fma x.re y.re (* x.im y.im)) (+ (- (* y.re x.re) (* y.im x.im)) (fma (- y.im) x.im (* y.im x.im)))) (fma x.re y.re (* x.im y.im)))
53.0b	(fma (- y.im) x.im (* y.im x.im))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `associate-r/` `associate-r*` `log1p-expm1-u`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`distribute-rgt-in` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `clear-num` `-commutative` `flip--` `fma-udef` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

3.0ms	(- (* y.re x.re) (* y.im x.im))
31.0ms	(* (fma x.re y.re (* x.im y.im)) (+ (- (* y.re x.re) (* y.im x.im)) (fma (- y.im) x.im (* y.im x.im))))
20.0ms	(/ (* (fma x.re y.re (* x.im y.im)) (+ (- (* y.re x.re) (* y.im x.im)) (fma (- y.im) x.im (* y.im x.im)))) (fma x.re y.re (* x.im y.im)))
0.0ms	(fma (- y.im) x.im (* y.im x.im))

series267.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- (* y.re x.re) (* y.im x.im))
147.0ms	(* (fma x.re y.re (* x.im y.im)) (+ (- (* y.re x.re) (* y.im x.im)) (fma (- y.im) x.im (* y.im x.im))))
58.0ms	(/ (* (fma x.re y.re (* x.im y.im)) (+ (- (* y.re x.re) (* y.im x.im)) (fma (- y.im) x.im (* y.im x.im)))) (fma x.re y.re (* x.im y.im)))
25.0ms	(fma (- y.im) x.im (* y.im x.im))

simplify58.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	349	918
1	1799	787
2	5001	751

prune245.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes107.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	3
1	14	3
2	14	3

end0.0ms

sample741.0ms

Algorithm

intervals

Results

488.0ms

10525×

body

valid