Details

sample104.0ms

Algorithm

intervals

Results

46.0ms	256×	body	80	valid
39.0ms	255×	body	80	nan

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: 32.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
0.3b	(* (atan2 im re) (log base))
0.5b	(* (log base) (log base))
29.8b	(sqrt (+ (* re re) (* im im)))

rewrite32.0ms

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:

13.0ms	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
7.0ms	(* (atan2 im re) (log base))
5.0ms	(* (log base) (log base))
4.0ms	(sqrt (+ (* re re) (* im im)))

series253.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ (- (* (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))
150.0ms	(* (log base) (log base))
36.0ms	(sqrt (+ (* re re) (* im im)))

simplify57.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (45.0ms)

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

prune416.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

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:

3.0ms

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

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify86.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 3 (25.0ms)

Iter	Nodes	Cost
0	118	300
1	349	280
2	1031	275
3	2871	272
4	5001	272

prune107.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:

2.0ms	(/ -1 (log base))
9.0ms	(* (atan2 im re) (/ -1 (log base)))

series203.0ms

Counts

2 → 6

Calls

2 calls:

162.0ms	(/ -1 (log base))
41.0ms	(* (atan2 im re) (/ -1 (log base)))

simplify102.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	205	385
1	914	347
2	4574	312
3	5001	308

prune158.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (log (/ 1 base)) (atan2 im re))
0.5b	(/ 1 (/ (log (/ 1 base)) (atan2 im re)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
76×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
48×	`log-pow`
35×	`pow1`
25×	`associate-/r*`
17×	`pow-flip` `inv-pow`
15×	`add-exp-log`
9×	`add-cbrt-cube` `associate-/l*`
8×	`div-exp`
6×	`div-inv`
4×	`cbrt-undiv`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`log-div` `div-sub` `distribute-frac-neg` `log-rec` `associate-/r/`

Counts

2 → 153

Calls

2 calls:

6.0ms	(/ (log (/ 1 base)) (atan2 im re))
11.0ms	(/ 1 (/ (log (/ 1 base)) (atan2 im re)))

series92.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ (log (/ 1 base)) (atan2 im re))
47.0ms	(/ 1 (/ (log (/ 1 base)) (atan2 im re)))

simplify46.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	423	1449
1	1800	1277
2	5001	1138

prune211.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes196.0ms

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	5
1	16	5
2	16	5

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.3s	8000×	body	80	valid
1.2s	7830×	body	80	nan