Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify2.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize6.0ms

Local error

Found 1 expressions with local error:

0.8b	(/ (atan2 im re) (log 10.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 33

Calls

1 calls:

5.0ms

(/ (atan2 im re) (log 10.0))

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(/ (atan2 im re) (log 10.0))

simplify93.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	86	210
1	234	196
2	597	196
3	1533	196
4	4399	196
5	5001	196

prune76.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ 1 (/ (log 10.0) (atan2 im re)))
0.8b	(/ (log 10.0) (atan2 im re))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
60×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
19×	`pow1` `associate-/r*`
16×	`log-pow`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`div-inv`
4×	`cbrt-undiv`
2×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `associate-/r/` `inv-pow`

Counts

2 → 123

Calls

2 calls:

11.0ms	(/ 1 (/ (log 10.0) (atan2 im re)))
8.0ms	(/ (log 10.0) (atan2 im re))

series106.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ 1 (/ (log 10.0) (atan2 im re)))
56.0ms	(/ (log 10.0) (atan2 im re))

simplify67.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	312	1007
1	1322	899
2	4667	808
3	5001	808

prune163.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ (log 10.0) (atan2 im re))
3.9b	(cbrt (/ (log 10.0) (atan2 im re)))
3.9b	(cbrt (/ (log 10.0) (atan2 im re)))
3.9b	(cbrt (/ (log 10.0) (atan2 im re)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

48×	`cbrt-prod` `times-frac`
37×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`pow1`
13×	`log-pow`
6×	`add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/r*`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`

Counts

4 → 114

Calls

4 calls:

7.0ms	(/ (log 10.0) (atan2 im re))
2.0ms	(cbrt (/ (log 10.0) (atan2 im re)))
2.0ms	(cbrt (/ (log 10.0) (atan2 im re)))
3.0ms	(cbrt (/ (log 10.0) (atan2 im re)))

series334.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ (log 10.0) (atan2 im re))
97.0ms	(cbrt (/ (log 10.0) (atan2 im re)))
96.0ms	(cbrt (/ (log 10.0) (atan2 im re)))
97.0ms	(cbrt (/ (log 10.0) (atan2 im re)))

simplify102.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 4 (92.0ms)

Iter	Nodes	Cost
0	121	946
1	296	900
2	756	894
3	2734	885
4	5002	884

prune337.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (/ (sqrt (log 10.0)) 1))
3.9b	(cbrt (/ (log 10.0) (atan2 im re)))
3.9b	(cbrt (/ (log 10.0) (atan2 im re)))
4.6b	(cbrt (/ (sqrt (log 10.0)) (atan2 im re)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

82×	`cbrt-prod`
66×	`times-frac`
48×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`sqrt-prod`
16×	`pow1`
12×	`log-pow`
4×	`add-exp-log` `expm1-log1p-u` `cbrt-div` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

4 → 126

Calls

4 calls:

4.0ms	(cbrt (/ (sqrt (log 10.0)) 1))
2.0ms	(cbrt (/ (log 10.0) (atan2 im re)))
3.0ms	(cbrt (/ (log 10.0) (atan2 im re)))
4.0ms	(cbrt (/ (sqrt (log 10.0)) (atan2 im re)))

series367.0ms

Counts

4 → 10

Calls

4 calls:

0.0ms	(cbrt (/ (sqrt (log 10.0)) 1))
98.0ms	(cbrt (/ (log 10.0) (atan2 im re)))
99.0ms	(cbrt (/ (log 10.0) (atan2 im re)))
169.0ms	(cbrt (/ (sqrt (log 10.0)) (atan2 im re)))

simplify88.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	232	1244
1	538	1204
2	1773	1165
3	3585	1109
4	5001	1109

prune399.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes141.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	22
1	25	22
2	25	22

end0.0ms

sample412.0ms

Algorithm

intervals

Results

227.0ms

8000×

body

valid