Details

sample50.0ms

Algorithm

intervals

Results

20.0ms	57×	body	1280	valid
11.0ms	222×	body	80	valid
7.0ms	37×	body	640	valid
3.0ms	21×	body	320	valid
0.0ms	1×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (exp re) (sin im))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`add-exp-log`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

6.0ms

(* (exp re) (sin im))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(* (exp re) (sin im))

simplify185.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (30.0ms)

Iter	Nodes	Cost
0	91	106
1	300	93
2	1154	93
3	4869	92
4	5001	92

prune47.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp re))
0.0b	(sqrt (exp re))
0.0b	(* (sqrt (exp re)) (sin im))
0.0b	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
12×	`associate-l`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
6×	`exp-prod`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

1.0ms	(sqrt (exp re))
1.0ms	(sqrt (exp re))
8.0ms	(* (sqrt (exp re)) (sin im))
20.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

series114.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (exp re))
12.0ms	(sqrt (exp re))
51.0ms	(* (sqrt (exp re)) (sin im))
39.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

simplify60.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	184	462
1	656	406
2	2370	403
3	5002	390

prune211.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp re))
0.0b	(pow (exp 1) (* 1/2 re))
0.0b	(* (pow (exp 1) (* 1/2 re)) (sin im))
0.0b	(* (sqrt (exp re)) (* (pow (exp 1) (* 1/2 re)) (sin im)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
17×	`add-exp-log`
13×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
11×	`add-cbrt-cube`
10×	`prod-exp`
8×	`pow1`
7×	`unpow-prod-down`
6×	`exp-prod` `sqrt-prod`
4×	`expm1-log1p-u` `pow-pow` `sqrt-pow1` `associate-r` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `pow-exp` `unswap-sqr` `sqr-pow`
2×	`*-commutative`
1×	`rem-sqrt-square` `pow-unpow` `pow1/2` `pow-prod-down`

Counts

4 → 89

Calls

4 calls:

1.0ms	(sqrt (exp re))
2.0ms	(pow (exp 1) (* 1/2 re))
7.0ms	(* (pow (exp 1) (* 1/2 re)) (sin im))
14.0ms	(* (sqrt (exp re)) (* (pow (exp 1) (* 1/2 re)) (sin im)))

series156.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (exp re))
13.0ms	(pow (exp 1) (* 1/2 re))
55.0ms	(* (pow (exp 1) (* 1/2 re)) (sin im))
77.0ms	(* (sqrt (exp re)) (* (pow (exp 1) (* 1/2 re)) (sin im)))

simplify38.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	276	618
1	1032	536
2	5002	482

prune274.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (exp re) (sin im))
0.1b	(expm1 (* (exp re) (sin im)))
0.1b	(log1p (expm1 (* (exp re) (sin im))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`add-exp-log` `log1p-expm1-u`
3×	`expm1-log1p-u` `associate-r` `associate-l` `add-log-exp`
1×	`log1p-udef` `expm1-log1p` `log1p-expm1` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `expm1-udef` `unswap-sqr`

Counts

3 → 42

Calls

3 calls:

6.0ms	(* (exp re) (sin im))
0.0ms	(expm1 (* (exp re) (sin im)))
0.0ms	(log1p (expm1 (* (exp re) (sin im))))

series173.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* (exp re) (sin im))
58.0ms	(expm1 (* (exp re) (sin im)))
74.0ms	(log1p (expm1 (* (exp re) (sin im))))

simplify41.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	132	242
1	405	213
2	1567	211
3	5001	209

prune104.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes76.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	8
1	18	8

end0.0ms

sample1.5s

Algorithm

intervals

Results

523.0ms	1466×	body	1280	valid
332.0ms	6897×	body	80	valid
279.0ms	1275×	body	640	valid
91.0ms	630×	body	320	valid
36.0ms	320×	body	160	valid