Details

sample57.0ms

Algorithm

intervals

Results

21.0ms	250×	body	80	nan
18.0ms	256×	body	80	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	16
1	44	16
2	56	16
3	74	16
4	80	16
5	80	16

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.9b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
0.4b	(* (atan2 im re) (log base))
0.5b	(* (log base) (log base))
31.5b	(sqrt (+ (* re re) (* im im)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
23×	`add-cube-cbrt`
21×	`pow1`
12×	`log-prod`
10×	`add-exp-log` `add-cbrt-cube`
9×	`times-frac`
8×	`associate-r`
7×	`associate-l` `log-pow`
6×	`distribute-rgt-in` `distribute-lft-in` `swap-sqr`
4×	`add-log-exp`
3×	`associate-/r` `sqrt-prod` `associate-/l`
2×	`flip3-+` `sqrt-div` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `associate-/l/` `unswap-sqr`
1×	`cbrt-undiv` `pow2` `rem-sqrt-square` `flip3--` `frac-2neg` `sqrt-pow1` `pow-plus` `pow1/2` `div-sub` `div-exp` `clear-num` `pow-sqr` `pow-prod-up` `flip--` `div-inv`

Counts

4 → 108

Calls

4 calls:

9.0ms	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
4.0ms	(* (atan2 im re) (log base))
5.0ms	(* (log base) (log base))
4.0ms	(sqrt (+ (* re re) (* im im)))

series261.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
27.0ms	(* (atan2 im re) (log base))
156.0ms	(* (log base) (log base))
39.0ms	(sqrt (+ (* re re) (* im im)))

simplify58.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	444	1213
1	1816	1100
2	5001	1070

prune416.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (atan2 im re) (log (/ 1 base)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

18×	`times-frac`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `log-pow`
9×	`pow1`
6×	`associate-/r*`
4×	`pow-flip` `inv-pow`
3×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 39

Calls

1 calls:

4.0ms

(/ (atan2 im re) (log (/ 1 base)))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(/ (atan2 im re) (log (/ 1 base)))

simplify81.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 3 (23.0ms)

Iter	Nodes	Cost
0	118	301
1	327	280
2	965	275
3	2738	274
4	5001	274

prune123.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ -1 (log base))
0.3b	(* (atan2 im re) (/ -1 (log base)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt` `times-frac`
20×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-r`
11×	`pow1`
9×	`add-exp-log` `add-cbrt-cube`
7×	`log-pow`
4×	`associate-/r*`
3×	`associate-l` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 66

Calls

2 calls:

3.0ms	(/ -1 (log base))
7.0ms	(* (atan2 im re) (/ -1 (log base)))

series208.0ms

Counts

2 → 6

Calls

2 calls:

168.0ms	(/ -1 (log base))
41.0ms	(* (atan2 im re) (/ -1 (log base)))

simplify36.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	205	380
1	1004	347
2	5001	307

prune168.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1 (log base))
0.3b	(* (atan2 im re) (* -1 (/ 1 (log base))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
9×	`prod-exp`
5×	`cbrt-unprod`
4×	`div-exp` `associate-/r*` `log-pow`
3×	`associate-r/` `associate-l` `pow-prod-down` `associate-/l`
2×	`cbrt-undiv` `rec-exp` `1-exp` `add-log-exp`
1×	`pow-flip` `frac-2neg` `mul-1-neg` `associate-r` `clear-num` `un-div-inv` `*-commutative` `distribute-rgt-neg-out` `div-inv` `inv-pow`

Counts

2 → 60

Calls

2 calls:

3.0ms	(/ 1 (log base))
7.0ms	(* (atan2 im re) (* -1 (/ 1 (log base))))

series199.0ms

Counts

2 → 6

Calls

2 calls:

157.0ms	(/ 1 (log base))
42.0ms	(* (atan2 im re) (* -1 (/ 1 (log base))))

simplify82.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	227	336
1	961	277
2	3682	246
3	5001	246

prune96.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

regimes260.0ms

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	14	5
1	16	5
2	16	5

end0.0ms

sample1.5s

Algorithm

intervals

Results

561.0ms	8000×	body	80	valid
552.0ms	7787×	body	80	nan