Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

344×

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

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:

4.0ms

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

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(- (* 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

prune45.0ms

Filtered

19 candidates to 16 candidates (84.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	17	2	19
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	18	2	20

Merged error: 0.0b

Counts

20 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite2.0ms

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:

1.0ms

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

series58.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

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

simplify150.0ms

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

prune46.0ms

Filtered

13 candidates to 12 candidates (92.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0.0b

Counts

15 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x.re y.re (- (* x.im y.im)))
0.3b	(* (sqrt (fma x.re y.re (- (* x.im y.im)))) (sqrt (fma x.re y.re (- (* x.im y.im)))))
1.8b	(sqrt (fma x.re y.re (- (* x.im y.im))))
1.8b	(sqrt (fma x.re y.re (- (* x.im y.im))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

1.0ms	(fma x.re y.re (- (* x.im y.im)))
6.0ms	(* (sqrt (fma x.re y.re (- (* x.im y.im)))) (sqrt (fma x.re y.re (- (* x.im y.im)))))
1.0ms	(sqrt (fma x.re y.re (- (* x.im y.im))))
2.0ms	(sqrt (fma x.re y.re (- (* x.im y.im))))

series271.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(fma x.re y.re (- (* x.im y.im)))
46.0ms	(* (sqrt (fma x.re y.re (- (* x.im y.im)))) (sqrt (fma x.re y.re (- (* x.im y.im)))))
89.0ms	(sqrt (fma x.re y.re (- (* x.im y.im))))
92.0ms	(sqrt (fma x.re y.re (- (* x.im y.im))))

simplify148.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 3 (139.0ms)

Iter	Nodes	Cost
0	181	595
1	674	523
2	3778	497
3	5001	489

prune206.0ms

Filtered

103 candidates to 65 candidates (63.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	102	3	105

Merged error: 0.0b

Counts

105 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (fabs (cbrt (fma x.re y.re (- (* x.im y.im))))) (sqrt (cbrt (fma x.re y.re (- (* x.im y.im)))))) (sqrt (fma x.re y.re (- (* x.im y.im)))))
1.8b	(sqrt (fma x.re y.re (- (* x.im y.im))))
2.2b	(cbrt (fma x.re y.re (- (* x.im y.im))))
2.2b	(cbrt (fma x.re y.re (- (* x.im y.im))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-sqr-sqrt`
9×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`cbrt-prod` `associate-r` `sqrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `*-commutative`

Counts

4 → 64

Calls

4 calls:

7.0ms	(* (* (fabs (cbrt (fma x.re y.re (- (* x.im y.im))))) (sqrt (cbrt (fma x.re y.re (- (* x.im y.im)))))) (sqrt (fma x.re y.re (- (* x.im y.im)))))
1.0ms	(sqrt (fma x.re y.re (- (* x.im y.im))))
1.0ms	(cbrt (fma x.re y.re (- (* x.im y.im))))
1.0ms	(cbrt (fma x.re y.re (- (* x.im y.im))))

series489.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(* (* (fabs (cbrt (fma x.re y.re (- (* x.im y.im))))) (sqrt (cbrt (fma x.re y.re (- (* x.im y.im)))))) (sqrt (fma x.re y.re (- (* x.im y.im)))))
90.0ms	(sqrt (fma x.re y.re (- (* x.im y.im))))
116.0ms	(cbrt (fma x.re y.re (- (* x.im y.im))))
120.0ms	(cbrt (fma x.re y.re (- (* x.im y.im))))

simplify45.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	392	857
1	1447	761
2	5001	728

prune254.0ms

Filtered

76 candidates to 61 candidates (80.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	76	3	79

Merged error: 0.0b

Counts

79 → 3

regimes93.0ms

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

sample497.0ms

Algorithm

intervals

Results

237.0ms

10421×

body

valid