Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

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: 30.6b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* re re) (* im im))
28.7b	(sqrt (+ (* re re) (* im im)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
10×	`distribute-lft-out`
8×	`associate-l` `sqrt-prod`
4×	`add-sqr-sqrt` `swap-sqr` `add-log-exp`
3×	`pow1` `add-cube-cbrt`
2×	`add-exp-log` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `sum-log`

Counts

2 → 36

Calls

2 calls:

16.0ms	(+ (* re re) (* im im))
16.0ms	(sqrt (+ (* re re) (* im im)))

series66.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (* re re) (* im im))
39.0ms	(sqrt (+ (* re re) (* im im)))

simplify49.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	122	211
1	510	197
2	1472	197
3	5002	197

prune61.0ms

Filtered

42 candidates to 26 candidates (61.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	38	4	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	5	43

Merged error: 7.1b

Counts

43 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* re re) (* im im))
0.5b	(* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
28.7b	(sqrt (+ (* re re) (* im im)))
28.7b	(sqrt (+ (* re re) (* im im)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

202×	`sqrt-prod`
174×	`*-un-lft-identity`
74×	`associate-l`
67×	`distribute-lft-out`
54×	`swap-sqr`
50×	`add-sqr-sqrt`
34×	`sqrt-pow1`
29×	`pow1`
28×	`sqrt-div`
18×	`add-cube-cbrt` `pow1/2`
14×	`associate-r`
9×	`flip3-+` `pow-prod-up` `flip-+` `unswap-sqr`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-down` `pow-sqr`
4×	`frac-times`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 174

Calls

4 calls:

16.0ms	(+ (* re re) (* im im))
45.0ms	(* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
16.0ms	(sqrt (+ (* re re) (* im im)))
16.0ms	(sqrt (+ (* re re) (* im im)))

series147.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (* re re) (* im im))
41.0ms	(* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
37.0ms	(sqrt (+ (* re re) (* im im)))
41.0ms	(sqrt (+ (* re re) (* im im)))

simplify49.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	239	1159
1	972	1093
2	5002	1072

prune176.0ms

Filtered

186 candidates to 72 candidates (38.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	186	0	186
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	186	5	191

Merged error: 7.1b

Counts

191 → 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

prune2.0ms

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: 7.1b

Counts

5 → 5

localize2.0ms

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 (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	3	3
Total	5	5

Merged error: 7.1b

Counts

5 → 5

regimes248.0ms

Accuracy

54.9% (10.5b remaining)

Error of 18.4b against oracle of 7.9b and baseline of 31.3b

bsearch83.0ms

Steps

Iters	Range		Point
9	5.740869535250374e+139	2.108882011704695e+145	3.4869680177679364e+141
6	7.176613572123634e-217	1.1089116705920598e-215	1.0888489179947855e-216
8	-6.0728879748155805e-236	-1.5672228375524547e-238	-3.489099908496165e-238
7	-2.368357192809402e+37	-1.5412000392698586e+35	-2.3080563981284436e+37

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	9
1	23	9

end0.0ms

sample289.0ms

Algorithm

intervals

Results

168.0ms

8000×

body

valid