Details

sample19.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	7
1	15	7
2	15	7

prune3.0ms

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: 31.1b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt (+ (* re re) (* im im))))
0.0b	(+ (* re re) (* im im))
0.6b	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
28.7b	(sqrt (+ (* re re) (* im im)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
26×	`hypot-def`
25×	`log-pow`
24×	`pow1` `add-cube-cbrt` `times-frac`
19×	`swap-sqr`
16×	`sqrt-prod`
15×	`fma-def` `associate-l` `distribute-lft-out`
11×	`log-prod` `*-commutative` `unswap-sqr`
7×	`add-exp-log` `sqrt-pow1` `pow1/2`
6×	`sqrt-div` `add-cbrt-cube` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `log-div` `flip3-+` `associate-/r*` `flip-+` `log1p-expm1-u`
3×	`associate-r`
2×	`+-commutative` `div-sub`
1×	`cbrt-undiv` `rem-sqrt-square` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 157

Calls

4 calls:

16.0ms	(log (sqrt (+ (* re re) (* im im))))
16.0ms	(+ (* re re) (* im im))
20.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
20.0ms	(sqrt (+ (* re re) (* im im)))

series281.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(log (sqrt (+ (* re re) (* im im))))
28.0ms	(+ (* re re) (* im im))
147.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
41.0ms	(sqrt (+ (* re re) (* im im)))

simplify97.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	279	993
1	955	923
2	3186	918
3	5003	904

prune283.0ms

Filtered

169 candidates to 103 candidates (60.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	157	12	169
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	158	12	170

Merged error: 0.3b

Counts

170 → 12

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (hypot re im))
0.0b	(hypot re im)
0.6b	(/ (log (hypot re im)) (log 10.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

16×	`times-frac`
14×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
11×	`log-pow`
6×	`add-exp-log`
5×	`add-cbrt-cube`
4×	`associate-/r` `associate-/l`
3×	`expm1-log1p-u` `log-prod` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `hypot-udef` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `div-inv`

Counts

3 → 62

Calls

3 calls:

1.0ms	(log (hypot re im))
1.0ms	(hypot re im)
4.0ms	(/ (log (hypot re im)) (log 10.0))

series278.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(log (hypot re im))
52.0ms	(hypot re im)
151.0ms	(/ (log (hypot re im)) (log 10.0))

simplify76.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 4 (71.0ms)

Iter	Nodes	Cost
0	138	382
1	319	349
2	731	349
3	2454	349
4	5002	348

prune146.0ms

Filtered

71 candidates to 50 candidates (70.4%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	56	15	71
Fresh	11	0	11
Picked	1	0	1
Done	0	0	0
Total	68	15	83

Merged error: 0.0b

Counts

83 → 15

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (hypot re im))
0.0b	(hypot re im)
0.2b	(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
0.4b	(/ (log (hypot re im)) (sqrt (log 10.0)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

210×	`associate-/r*`
186×	`add-sqr-sqrt`
182×	`frac-times`
175×	`sqrt-prod`
147×	`*-un-lft-identity`
140×	`add-cube-cbrt`
107×	`associate-/l*`
99×	`times-frac`
78×	`pow1`
72×	`log-pow`
32×	`associate-r`
31×	`clear-num`
30×	`frac-2neg`
29×	`add-exp-log`
25×	`associate-l`
18×	`add-cbrt-cube`
15×	`unswap-sqr`
14×	`associate-*r/`
13×	`associate-*l/`
9×	`div-exp`
8×	`prod-exp`
5×	`cbrt-undiv`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `un-div-inv` `div-inv`
2×	`rec-exp` `1-exp`
1×	`hypot-udef` `rem-log-exp` `pow-prod-down` `*-commutative`

Counts

4 → 384

Calls

4 calls:

1.0ms	(log (hypot re im))
1.0ms	(hypot re im)
29.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
5.0ms	(/ (log (hypot re im)) (sqrt (log 10.0)))

series521.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(log (hypot re im))
54.0ms	(hypot re im)
156.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
237.0ms	(/ (log (hypot re im)) (sqrt (log 10.0)))

simplify124.0ms

Algorithm

egg-herbie

Counts

396 → 396

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	988	4084
1	4911	3427
2	5001	3382

prune425.0ms

Filtered

396 candidates to 147 candidates (37.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	388	8	396
Fresh	10	4	14
Picked	1	0	1
Done	0	0	0
Total	399	12	411

Merged error: 0b

Counts

411 → 12

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(hypot re im)
0.2b	(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
3.8b	(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

67×	`times-frac`
66×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
54×	`add-cube-cbrt`
50×	`pow-unpow`
42×	`sqrt-prod`
39×	`log-pow`
32×	`associate-r`
25×	`associate-l`
18×	`pow1`
14×	`log-prod`
13×	`add-exp-log` `associate-*l/`
9×	`unpow-prod-down`
8×	`add-cbrt-cube`
7×	`distribute-rgt-in` `distribute-lft-in` `associate-/r*`
5×	`unswap-sqr`
4×	`prod-exp`
3×	`expm1-log1p-u` `hypot-udef` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp` `sqr-pow`
2×	`pow-pow` `div-exp` `sqrt-pow2` `cbrt-unprod`
1×	`cbrt-undiv` `pow-to-exp` `rec-exp` `frac-2neg` `1-exp` `pow-prod-down` `pow-exp` `clear-num` `*-commutative`

Counts

3 → 158

Calls

3 calls:

1.0ms	(hypot re im)
29.0ms	(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
5.0ms	(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

series841.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(hypot re im)
396.0ms	(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
392.0ms	(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

simplify63.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	548	1626
1	2541	1314
2	5001	1182

prune318.0ms

Filtered

167 candidates to 112 candidates (67.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	164	3	167
Fresh	7	4	11
Picked	1	0	1
Done	0	0	0
Total	172	7	179

Merged error: 0b

Counts

179 → 7

regimes65.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	21
1	18	21

end0.0ms

sample472.0ms

Algorithm

intervals

Results

337.0ms

8000×

body

valid