Details

sample43.0ms

Algorithm

intervals

Results

16.0ms	52×	body	1280	valid
7.0ms	206×	body	80	valid
6.0ms	33×	body	640	valid
3.0ms	23×	body	320	valid
1.0ms	12×	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

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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))

series38.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(* (exp re) (sin im))

simplify180.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (33.0ms)

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

prune49.0ms

Filtered

23 candidates to 16 candidates (69.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (exp re)) (cbrt (exp re)))
0.1b	(cbrt (exp re))
0.1b	(cbrt (exp re))
0.1b	(cbrt (exp re))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

7.0ms	(* (cbrt (exp re)) (cbrt (exp re)))
1.0ms	(cbrt (exp re))
1.0ms	(cbrt (exp re))
1.0ms	(cbrt (exp re))

series344.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (cbrt (exp re)) (cbrt (exp re)))
81.0ms	(cbrt (exp re))
82.0ms	(cbrt (exp re))
84.0ms	(cbrt (exp re))

simplify62.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	118	463
1	379	426
2	1818	393
3	5002	361

prune228.0ms

Filtered

93 candidates to 64 candidates (68.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (exp re) (sin im))
0.1b	(expm1 (log1p (* (exp re) (sin im))))
0.2b	(log1p (* (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:

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

series172.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(* (exp re) (sin im))
73.0ms	(expm1 (log1p (* (exp re) (sin im))))
61.0ms	(log1p (* (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	1413	208
3	5001	205

prune115.0ms

Filtered

51 candidates to 35 candidates (68.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp re) (sin im))
0.0b	(sqrt (* (exp re) (sin im)))
0.0b	(sqrt (* (exp re) (sin im)))
0.2b	(* (sqrt (* (exp re) (sin im))) (sqrt (* (exp re) (sin im))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
14×	`add-sqr-sqrt`
12×	`pow1/2`
10×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-up`
8×	`add-cbrt-cube`
7×	`add-exp-log` `associate-r` `associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`expm1-log1p-u` `swap-sqr` `log1p-expm1-u` `add-log-exp`
2×	`prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 97

Calls

4 calls:

6.0ms	(* (exp re) (sin im))
4.0ms	(sqrt (* (exp re) (sin im)))
4.0ms	(sqrt (* (exp re) (sin im)))
27.0ms	(* (sqrt (* (exp re) (sin im))) (sqrt (* (exp re) (sin im))))

series193.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (exp re) (sin im))
59.0ms	(sqrt (* (exp re) (sin im)))
53.0ms	(sqrt (* (exp re) (sin im)))
44.0ms	(* (sqrt (* (exp re) (sin im))) (sqrt (* (exp re) (sin im))))

simplify39.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	196	490
1	835	432
2	5001	410

prune204.0ms

Filtered

109 candidates to 62 candidates (56.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms

sample1.2s

Algorithm

intervals

Results

456.0ms	1515×	body	1280	valid
266.0ms	6950×	body	80	valid
211.0ms	1241×	body	640	valid
68.0ms	610×	body	320	valid
25.0ms	325×	body	160	valid