Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* re re) (* im im))
0.6b	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
29.9b	(sqrt (+ (* re re) (* im im)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

24×	`times-frac`
22×	`log-pow`
21×	`pow1`
17×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-pow1` `pow1/2` `associate-/l*`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`sqrt-div` `associate-/r*`
3×	`expm1-log1p-u` `flip3-+` `sqrt-prod` `flip-+` `log1p-expm1-u`
2×	`log-div` `div-sub`
1×	`cbrt-undiv` `+-commutative` `rem-sqrt-square` `fma-def` `frac-2neg` `div-exp` `clear-num` `sum-log` `hypot-def` `div-inv`

Counts

3 → 82

Calls

3 calls:

8.0ms	(+ (* re re) (* im im))
29.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
8.0ms	(sqrt (+ (* re re) (* im im)))

series185.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(+ (* re re) (* im im))
129.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
32.0ms	(sqrt (+ (* re re) (* im im)))

simplify90.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	269	757
1	956	712
2	3072	705
3	5002	704

prune233.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.4b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 38

Calls

1 calls:

8.0ms

(/ (log (hypot re im)) (log 10.0))

series134.0ms

Counts

1 → 3

Calls

1 calls:

133.0ms

(/ (log (hypot re im)) (log 10.0))

simplify57.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 4 (53.0ms)

Iter	Nodes	Cost
0	112	294
1	283	276
2	673	274
3	1896	274
4	5001	273

prune114.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
0.5b	(/ (log (hypot re im)) (sqrt (log 10.0)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

99×	`times-frac`
96×	`add-sqr-sqrt`
59×	`sqrt-prod`
56×	`*-un-lft-identity`
50×	`add-cube-cbrt`
32×	`associate-r`
31×	`pow1`
27×	`log-pow`
26×	`add-exp-log`
25×	`associate-l`
16×	`add-cbrt-cube`
15×	`unswap-sqr`
9×	`div-exp`
8×	`prod-exp`
7×	`associate-/r*`
5×	`cbrt-undiv`
4×	`cbrt-unprod` `associate-/l*`
3×	`div-inv`
2×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 151

Calls

2 calls:

47.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
9.0ms	(/ (log (hypot re im)) (sqrt (log 10.0)))

series474.0ms

Counts

2 → 6

Calls

2 calls:

273.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
201.0ms	(/ (log (hypot re im)) (sqrt (log 10.0)))

simplify54.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	446	1765
1	1975	1547
2	5001	1419

prune307.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (pow (hypot re im) (/ 1 (sqrt (log 10.0)))))
0.3b	(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
3.9b	(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
46×	`times-frac`
41×	`*-un-lft-identity`
39×	`add-cube-cbrt`
26×	`sqrt-prod`
25×	`pow-unpow` `associate-l`
21×	`log-prod`
15×	`add-exp-log`
12×	`pow1` `unpow-prod-down`
8×	`log-pow` `add-cbrt-cube`
7×	`distribute-rgt-in` `distribute-lft-in`
5×	`unswap-sqr`
4×	`associate-r` `prod-exp` `sqr-pow`
3×	`expm1-log1p-u` `rem-log-exp` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `div-exp` `pow-exp` `cbrt-unprod` `div-inv`
1×	`cbrt-undiv` `rec-exp` `hypot-udef` `pow-pow` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `sqrt-pow2`

Counts

3 → 128

Calls

3 calls:

3.0ms	(log (pow (hypot re im) (/ 1 (sqrt (log 10.0)))))
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))))

series925.0ms

Counts

3 → 9

Calls

3 calls:

281.0ms	(log (pow (hypot re im) (/ 1 (sqrt (log 10.0)))))
332.0ms	(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
312.0ms	(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

simplify51.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	443	1483
1	1946	1217
2	5002	1069

prune319.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	10
1	14	10

end0.0ms

sample511.0ms

Algorithm

intervals

Results

332.0ms

8000×

body

valid