Details

sample17.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

8.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

prune3.0ms

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: 29.2b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* re re) (* im im))
27.3b	(sqrt (+ (* re re) (* im im)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-log-exp`
3×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
2×	`add-exp-log` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `sum-log`

Counts

2 → 26

Calls

2 calls:

3.0ms	(+ (* re re) (* im im))
3.0ms	(sqrt (+ (* re re) (* im im)))

series11.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ (* re re) (* im im))
6.0ms	(sqrt (+ (* re re) (* im im)))

simplify51.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	125	177
1	530	163
2	1540	163
3	5001	162

prune43.0ms

Filtered

25 candidates to 32 candidates (-28.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	28	4	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	5	33

Merged error: 7.0b

Counts

33 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (cbrt (+ (* re re) (* im im))))
0.3b	(* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))
28.2b	(cbrt (+ (* re re) (* im im)))
28.2b	(cbrt (+ (* re re) (* im im)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
14×	`cbrt-prod` `sqrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-r`
8×	`cbrt-div`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube`
4×	`flip3-+` `sqrt-div` `flip-+` `add-log-exp`
3×	`pow1/3` `associate-l` `unswap-sqr`
2×	`rem-sqrt-square` `sqrt-pow1` `associate-*r/`
1×	`pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 74

Calls

4 calls:

4.0ms	(sqrt (cbrt (+ (* re re) (* im im))))
9.0ms	(* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))
3.0ms	(cbrt (+ (* re re) (* im im)))
3.0ms	(cbrt (+ (* re re) (* im im)))

series96.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(sqrt (cbrt (+ (* re re) (* im im))))
33.0ms	(* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))
20.0ms	(cbrt (+ (* re re) (* im im)))
20.0ms	(cbrt (+ (* re re) (* im im)))

simplify99.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	311	925
1	1082	871
2	4121	841
3	5001	813

prune104.0ms

Filtered

72 candidates to 86 candidates (-19.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	86	5	91

Merged error: 7.0b

Counts

91 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

28.2b	(cbrt (+ (* re re) (* im im)))
28.2b	(cbrt (+ (* re re) (* im im)))
28.2b	(cbrt (+ (* re re) (* im im)))
28.2b	(cbrt (+ (* re re) (* im im)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

3.0ms	(cbrt (+ (* re re) (* im im)))
3.0ms	(cbrt (+ (* re re) (* im im)))
3.0ms	(cbrt (+ (* re re) (* im im)))
3.0ms	(cbrt (+ (* re re) (* im im)))

series84.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(cbrt (+ (* re re) (* im im)))
22.0ms	(cbrt (+ (* re re) (* im im)))
21.0ms	(cbrt (+ (* re re) (* im im)))
20.0ms	(cbrt (+ (* re re) (* im im)))

simplify45.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	151	560
1	426	524
2	1225	500
3	5002	468

prune91.0ms

Filtered

56 candidates to 64 candidates (-14.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	64	5	69

Merged error: 7.0b

Counts

69 → 5

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	2	2
Total	5	5

Merged error: 7.0b

Counts

5 → 5

regimes384.0ms

Accuracy

59.4% (9.6b remaining)

Error of 17.1b against oracle of 7.5b and baseline of 31.2b

bsearch23.0ms

Steps

Iters	Range		Point
9	1.593529047207091e+50	2.1868841841715763e+57	2.1505795000956337e+57
5	-3.2876325337691776e+82	-9.32464493010116e+81	-2.9416585713603886e+82

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	5
1	17	5

end0.0ms

sample416.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

237.0ms

8000×

body

valid

Details

sample17.0ms

simplify3.0ms

prune3.0ms

localize5.0ms

rewrite7.0ms

series11.0ms

simplify51.0ms

prune43.0ms

localize10.0ms

rewrite22.0ms

series96.0ms

simplify99.0ms

prune104.0ms

localize14.0ms

rewrite14.0ms

series84.0ms

simplify45.0ms

prune91.0ms

localize1.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes384.0ms

bsearch23.0ms

simplify1.0ms

end0.0ms

sample416.0ms

Profiling