Details

sample21.0ms

Algorithm

intervals

Results

12.0ms

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: 35.3b

localize11.0ms

Local error

Found 2 expressions with local error:

0.6b	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
32.8b	(sqrt (+ (* re re) (* im im)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 68

Calls

2 calls:

14.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
4.0ms	(sqrt (+ (* re re) (* im im)))

series169.0ms

Counts

2 → 6

Calls

2 calls:

133.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
35.0ms	(sqrt (+ (* re re) (* im im)))

simplify132.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	232	683
1	597	648
2	1428	645
3	4416	645
4	5001	645

prune202.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.4b

localize16.0ms

Local error

Found 1 expressions with local error:

0.6b	(/ (log (* 1 (hypot re im))) (log 10.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1`
20×	`times-frac`
16×	`log-pow`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow-prod-down` `associate-/l*`
4×	`associate-/r*`
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 → 43

Calls

1 calls:

12.0ms

(/ (log (* 1 (hypot re im))) (log 10.0))

series139.0ms

Counts

1 → 3

Calls

1 calls:

139.0ms

(/ (log (* 1 (hypot re im))) (log 10.0))

simplify383.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	116	382
1	285	360
2	782	353
3	3063	353
4	5001	353

prune118.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

113×	`times-frac`
100×	`add-sqr-sqrt`
67×	`sqrt-prod`
63×	`pow1`
60×	`*-un-lft-identity`
54×	`add-cube-cbrt`
44×	`log-pow`
39×	`associate-r`
26×	`add-exp-log`
25×	`associate-l`
16×	`pow-prod-down` `add-cbrt-cube`
15×	`unswap-sqr`
9×	`div-exp`
8×	`prod-exp`
7×	`associate-/r*`
5×	`cbrt-undiv` `associate-/l*`
4×	`cbrt-unprod`
3×	`div-inv`
2×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 166

Calls

2 calls:

40.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (log (* 1 (hypot re im))) (sqrt (log 10.0))))
8.0ms	(/ (log (* 1 (hypot re im))) (sqrt (log 10.0)))

series377.0ms

Counts

2 → 6

Calls

2 calls:

151.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (log (* 1 (hypot re im))) (sqrt (log 10.0))))
226.0ms	(/ (log (* 1 (hypot re im))) (sqrt (log 10.0)))

simplify66.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	449	2081
1	2000	1809
2	5002	1716

prune360.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
4.0b	(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 108

Calls

2 calls:

20.0ms	(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
4.0ms	(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

series715.0ms

Counts

2 → 6

Calls

2 calls:

362.0ms	(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
352.0ms	(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

simplify51.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	440	1286
1	1934	1043
2	5001	903

prune282.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes81.0ms

Accuracy

0% (0.3b 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	25
1	18	25

end0.0ms

sample509.0ms

Algorithm

intervals

Results

358.0ms

8000×

body

valid