Details

sample22.0ms

Algorithm

intervals

Results

14.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.2b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* re re) (* im im))
26.4b	(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))
4.0ms	(sqrt (+ (* re re) (* im im)))

series68.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (* re re) (* im im))
41.0ms	(sqrt (+ (* re re) (* im im)))

simplify52.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (48.0ms)

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

prune75.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 5.6b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (cbrt (+ (* re re) (* im im))))
0.2b	(* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))
27.3b	(cbrt (+ (* re re) (* im im)))
27.3b	(cbrt (+ (* re re) (* im im)))

rewrite23.0ms

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))))
13.0ms	(* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))
2.0ms	(cbrt (+ (* re re) (* im im)))
2.0ms	(cbrt (+ (* re re) (* im im)))

series402.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(sqrt (cbrt (+ (* re re) (* im im))))
112.0ms	(* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))
97.0ms	(cbrt (+ (* re re) (* im im)))
100.0ms	(cbrt (+ (* re re) (* im im)))

simplify132.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (124.0ms)

Iter	Nodes	Cost
0	277	853
1	1072	799
2	4426	786
3	5002	779

prune249.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 5.6b

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)

Merged error: 5.6b

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)

Merged error: 5.6b

regimes217.0ms

Accuracy

59% (9.7b remaining)

Error of 17.2b against oracle of 7.5b and baseline of 31.1b

bsearch105.0ms

Steps

Iters	Range		Point
9	1.1927814869807374e+151	9.245727476348249e+156	1.2302302825696211e+151
7	1.4816094939677775e-221	1.6587575435043906e-219	1.2918788242355971e-219
7	-3.3580511861940085e-292	-1.4281637648997813e-294	-8.7350730255718e-293
7	-7.110575026482344e+112	-2.7875526196792016e+110	-3.4968122243654856e+112

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	9
1	23	9

end0.0ms

sample616.0ms

Algorithm

intervals

Results

473.0ms

8000×

body

valid