Details

sample47.0ms

Algorithm

intervals

Results

14.0ms	42×	body	1280	valid
10.0ms	51×	body	640	valid
9.0ms	220×	body	80	valid
3.0ms	20×	body	320	valid
1.0ms	15×	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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (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))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(* (exp re) (sin im))

simplify170.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (32.0ms)

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

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	20	3	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	4	24

Merged error: 0.0b

Counts

24 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (exp re) (sin im))
0.2b	(pow (* (exp re) (sin im)) 3)
11.4b	(cbrt (pow (* (exp re) (sin im)) 3))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`pow1` `cbrt-prod` `add-cbrt-cube`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log`
3×	`expm1-log1p-u` `pow-unpow` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

6.0ms	(* (exp re) (sin im))
9.0ms	(pow (* (exp re) (sin im)) 3)
3.0ms	(cbrt (pow (* (exp re) (sin im)) 3))

series137.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* (exp re) (sin im))
57.0ms	(pow (* (exp re) (sin im)) 3)
40.0ms	(cbrt (pow (* (exp re) (sin im)) 3))

simplify35.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	182	333
1	792	317
2	5001	314

prune130.0ms

Filtered

72 candidates to 48 candidates (66.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	72	4	76

Merged error: 0b

Counts

76 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow (exp re) 3) (pow (sin im) 3))
0.0b	(pow (exp re) 3)
0.4b	(pow (sin im) 3)
11.4b	(cbrt (* (pow (exp re) 3) (pow (sin im) 3)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
20×	`unpow-prod-down` `cube-prod`
17×	`add-cube-cbrt` `*-un-lft-identity`
16×	`unswap-sqr`
14×	`add-exp-log`
12×	`associate-r` `associate-l` `sqr-pow`
9×	`prod-exp`
8×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
6×	`pow1` `pow-unpow`
5×	`pow-pow`
4×	`expm1-log1p-u` `cube-mult` `unpow3` `log1p-expm1-u` `add-log-exp`
3×	`exp-prod`
2×	`pow-prod-down` `rem-cube-cbrt`
1×	`cbrt-prod` `pow1/3` `*-commutative` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 126

Calls

4 calls:

9.0ms	(* (pow (exp re) 3) (pow (sin im) 3))
3.0ms	(pow (exp re) 3)
3.0ms	(pow (sin im) 3)
5.0ms	(cbrt (* (pow (exp re) 3) (pow (sin im) 3)))

series161.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (pow (exp re) 3) (pow (sin im) 3))
24.0ms	(pow (exp re) 3)
33.0ms	(pow (sin im) 3)
43.0ms	(cbrt (* (pow (exp re) 3) (pow (sin im) 3)))

simplify73.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	330	724
1	1644	685
2	5002	638

prune224.0ms

Filtered

138 candidates to 74 candidates (53.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	138	4	142

Merged error: 0b

Counts

142 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp re) (sin im))
0.1b	(* (sqrt (* (exp re) (sin im))) (sqrt (* (exp re) (sin im))))
0.5b	(sqrt (* (exp re) (sin im)))
0.5b	(sqrt (* (exp re) (sin im)))

rewrite28.0ms

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))
12.0ms	(* (sqrt (* (exp re) (sin im))) (sqrt (* (exp re) (sin im))))
4.0ms	(sqrt (* (exp re) (sin im)))
4.0ms	(sqrt (* (exp re) (sin im)))

series198.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (exp re) (sin im))
39.0ms	(* (sqrt (* (exp re) (sin im))) (sqrt (* (exp re) (sin im))))
60.0ms	(sqrt (* (exp re) (sin im)))
58.0ms	(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	803	432
2	5002	410

prune161.0ms

Filtered

109 candidates to 62 candidates (56.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	109	4	113

Merged error: 0b

Counts

113 → 4

regimes99.0ms

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	6	3
1	6	3

end0.0ms

sample1.3s

Algorithm

intervals

Results

500.0ms	1573×	body	1280	valid
280.0ms	6865×	body	80	valid
238.0ms	1264×	body	640	valid
82.0ms	643×	body	320	valid
30.0ms	307×	body	160	valid