Details

sample16.0ms

Algorithm

intervals

Results

9.0ms

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: 32.7b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* re re) (* im im))
30.7b	(sqrt (+ (* re re) (* im im)))

rewrite6.0ms

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:

2.0ms	(+ (* re re) (* im im))
3.0ms	(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)))

simplify54.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (51.0ms)

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

prune76.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 9.1b

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

prune5.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 9.1b

localize13.0ms

Local error

Found 4 expressions with local error:

3.5b	(- (* re re) (* im im))
8.3b	(+ (* (- (pow im 3)) im) (pow re 4))
30.7b	(sqrt (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im))))
41.1b	(/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

25×	`times-frac`
24×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`sqrt-prod`
8×	`add-log-exp` `difference-of-squares`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
4×	`associate-/r*` `associate-/r/`
3×	`flip3--` `flip--` `associate-/l*`
2×	`rem-sqrt-square` `flip3-+` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `diff-log` `div-exp` `clear-num` `sum-log`

Counts

4 → 89

Calls

4 calls:

2.0ms	(- (* re re) (* im im))
10.0ms	(+ (* (- (pow im 3)) im) (pow re 4))
18.0ms	(sqrt (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im))))
25.0ms	(/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im)))

series223.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- (* re re) (* im im))
47.0ms	(+ (* (- (pow im 3)) im) (pow re 4))
77.0ms	(sqrt (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im))))
70.0ms	(/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im)))

simplify51.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	327	1205
1	1468	1045
2	5001	1027

prune291.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.4b

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.4b

regimes198.0ms

Accuracy

44.8% (17.5b remaining)

Error of 17.8b against oracle of 0.3b and baseline of 32.1b

bsearch24.0ms

Steps

Iters	Range		Point
7	5.483599389730806e+56	1.3680464512629201e+58	9.320789448656758e+57
0	-5.229210715044019e+146	-5.008447312026405e+146	-5.118829013535212e+146

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	5
1	17	5

end0.0ms

sample421.0ms

Algorithm

intervals

Results

297.0ms

8000×

body

valid