Details

sample13.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* re re) (* im im))
29.9b	(sqrt (+ (* re re) (* im im)))

rewrite16.0ms

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:

8.0ms	(+ (* re re) (* im im))
8.0ms	(sqrt (+ (* re re) (* im im)))

series62.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ (* re re) (* im im))
37.0ms	(sqrt (+ (* re re) (* im im)))

simplify49.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	125	178
1	530	163
2	1540	163
3	5001	162

prune72.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 6.8b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (cbrt (+ (* re re) (* im im))))
0.4b	(* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))
31.0b	(cbrt (+ (* re re) (* im im)))
31.0b	(cbrt (+ (* re re) (* im im)))

rewrite48.0ms

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:

9.0ms	(sqrt (cbrt (+ (* re re) (* im im))))
27.0ms	(* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))
5.0ms	(cbrt (+ (* re re) (* im im)))
5.0ms	(cbrt (+ (* re re) (* im im)))

series363.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(sqrt (cbrt (+ (* re re) (* im im))))
104.0ms	(* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))
88.0ms	(cbrt (+ (* re re) (* im im)))
86.0ms	(cbrt (+ (* re re) (* im im)))

simplify129.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (121.0ms)

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

prune235.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 6.8b

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: 6.8b

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: 6.8b

regimes213.0ms

Accuracy

56.1% (10.4b remaining)

Error of 18.1b against oracle of 7.7b and baseline of 31.5b

bsearch82.0ms

Steps

Iters	Range		Point
9	1.6564934462005338e+19	3.0077710628296854e+26	2.9712800106749567e+26
9	5.071879329881285e-240	1.4578539957000644e-231	2.9506572857247177e-235
7	-7.39486344966426e-262	-3.8712513553988877e-264	-6.216717371626989e-264
9	-5.28789737177076e+121	-3.898811697184426e+115	-5.810291952691062e+115

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	9
1	23	9

end0.0ms

sample332.0ms

Algorithm

intervals

Results

167.0ms

8000×

body

valid