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: 29.6b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* re re) (* im im))
27.5b	(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)))

series64.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ (* re re) (* im im))
34.0ms	(sqrt (+ (* re re) (* im im)))

simplify62.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (57.0ms)

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

prune69.0ms

Filtered

32 candidates to 25 candidates (78.1%)

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: 7.5b

Counts

33 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* re re) (* im im))
0.0b	(pow (sqrt (+ (* re re) (* im im))) 3)
27.5b	(sqrt (+ (* re re) (* im im)))
37.3b	(cbrt (pow (sqrt (+ (* re re) (* im im))) 3))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
16×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
12×	`unpow-prod-down` `cube-prod`
7×	`pow1`
6×	`sqrt-div` `add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3-+` `flip-+`
3×	`pow-unpow` `pow-pow`
2×	`cube-mult` `cbrt-div` `sqrt-pow1` `pow1/2` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `rem-sqrt-square` `pow1/3` `pow-exp` `sum-log` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 89

Calls

4 calls:

6.0ms	(+ (* re re) (* im im))
5.0ms	(pow (sqrt (+ (* re re) (* im im))) 3)
3.0ms	(sqrt (+ (* re re) (* im im)))
5.0ms	(cbrt (pow (sqrt (+ (* re re) (* im im))) 3))

series182.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (* re re) (* im im))
84.0ms	(pow (sqrt (+ (* re re) (* im im))) 3)
34.0ms	(sqrt (+ (* re re) (* im im)))
34.0ms	(cbrt (pow (sqrt (+ (* re re) (* im im))) 3))

simplify43.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	283	643
1	1236	610
2	5001	594

prune371.0ms

Filtered

101 candidates to 57 candidates (56.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	100	6	106

Merged error: 7.5b

Counts

106 → 6

localize1.0ms

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

prune4.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	2	2
Total	6	6

Merged error: 7.5b

Counts

6 → 6

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

6 alts after pruning (2 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	3	3
Total	6	6

Merged error: 7.5b

Counts

6 → 6

regimes231.0ms

Accuracy

59.2% (9.5b remaining)

Error of 17.3b against oracle of 7.8b and baseline of 31.1b

bsearch79.0ms

Steps

Iters	Range		Point
6	8.386220925578828e+143	4.316820422997054e+144	1.5563902308845874e+144
10	8.660844906217239e-175	7.0021986566734e-156	2.9654757473955426e-173
9	3.2439511425214304e-251	1.5200205730203393e-242	2.5643987853721874e-244
5	-1.0292527525204509e+104	-2.6687907650031294e+103	-7.458582203381243e+103

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	9
1	23	9

end0.0ms

sample312.0ms

Algorithm

intervals

Results

180.0ms

8000×

body

valid