Details

sample39.0ms

Algorithm

intervals

Results

14.0ms	45×	body	1280	valid
7.0ms	212×	body	80	valid
6.0ms	40×	body	640	valid
2.0ms	16×	body	320	valid
1.0ms	8×	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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.3b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (exp re) (sin im))

rewrite6.0ms

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:

5.0ms

(* (exp re) (sin im))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(* (exp re) (sin im))

simplify169.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (31.0ms)

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

prune40.0ms

Filtered

23 candidates to 16 candidates (69.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	20	3	23
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	21	3	24

Merged error: 0.0b

Counts

24 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(expm1 (log1p (* (exp re) (sin im))))
0.2b	(log1p (* (exp re) (sin im)))
0.3b	(* (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` `expm1-log1p-u`
3×	`associate-r` `associate-l` `log1p-expm1-u` `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:

1.0ms	(expm1 (log1p (* (exp re) (sin im))))
1.0ms	(log1p (* (exp re) (sin im)))
5.0ms	(* (exp re) (sin im))

series232.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(expm1 (log1p (* (exp re) (sin im))))
123.0ms	(log1p (* (exp re) (sin im)))
39.0ms	(* (exp re) (sin im))

simplify39.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	128	244
1	382	212
2	1414	208
3	5002	205

prune92.0ms

Filtered

51 candidates to 34 candidates (66.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	51	3	54

Merged error: 0.0b

Counts

54 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (log (sin im)) re)
0.4b	(log (sin im))
1.2b	(exp (+ (log (sin im)) re))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
7×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
6×	`log-prod` `add-log-exp`
5×	`exp-prod`
4×	`add-exp-log` `fma-def` `log-pow` `distribute-lft-out`
3×	`expm1-log1p-u` `associate-+l+` `add-cbrt-cube` `log1p-expm1-u`
2×	`sum-log` `rem-exp-log`
1×	`+-commutative` `flip3-+` `rem-log-exp` `exp-sum` `flip-+`

Counts

3 → 53

Calls

3 calls:

4.0ms	(+ (log (sin im)) re)
2.0ms	(log (sin im))
5.0ms	(exp (+ (log (sin im)) re))

series140.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(+ (log (sin im)) re)
67.0ms	(log (sin im))
31.0ms	(exp (+ (log (sin im)) re))

simplify113.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 4 (109.0ms)

Iter	Nodes	Cost
0	163	248
1	430	226
2	1323	226
3	4303	224
4	5001	223

prune115.0ms

Filtered

62 candidates to 44 candidates (71.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	62	3	65

Merged error: 0.0b

Counts

65 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

2.2b	(fma (fma (* 1/2 re) re re) im im)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (fma (* 1/2 re) re re) im im)

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(fma (fma (* 1/2 re) re re) im im)

simplify112.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	47	63
1	122	53
2	551	53
3	3223	53
4	5001	53

prune21.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	13	3	16

Merged error: 0.0b

Counts

16 → 3

regimes91.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	5
1	8	5

end0.0ms

sample1.2s

Algorithm

intervals

Results

445.0ms	1496×	body	1280	valid
250.0ms	7024×	body	80	valid
201.0ms	1209×	body	640	valid
78.0ms	646×	body	320	valid
24.0ms	323×	body	160	valid