Details

sample26.0ms

Algorithm

intervals

Results

9.0ms	185×	body	160	valid
5.0ms	71×	body	320	valid
3.0ms	256×	pre	80	true

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (11.0ms)

Iter	Nodes	Cost
0	28	8
1	91	7
2	306	7
3	996	6
4	2722	6
5	5001	6

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 57.6b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

49.7b	(fma (fma 2e-16 t 1.0) (fma 2e-16 t 1.0) -1.0)
50.7b	(fma (- (* 2.0 t)) 2e-16 (fma (fma 2e-16 t 1.0) (fma 2e-16 t 1.0) -1.0))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

1.0ms	(fma (fma 2e-16 t 1.0) (fma 2e-16 t 1.0) -1.0)
1.0ms	(fma (- (* 2.0 t)) 2e-16 (fma (fma 2e-16 t 1.0) (fma 2e-16 t 1.0) -1.0))

series246.0ms

Counts

2 → 6

Calls

2 calls:

99.0ms	(fma (fma 2e-16 t 1.0) (fma 2e-16 t 1.0) -1.0)
147.0ms	(fma (- (* 2.0 t)) 2e-16 (fma (fma 2e-16 t 1.0) (fma 2e-16 t 1.0) -1.0))

simplify119.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 3 (19.0ms)

Iter	Nodes	Cost
0	59	153
1	139	133
2	605	133
3	3621	130
4	5001	130

prune61.0ms

Filtered

26 candidates to 22 candidates (84.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	26	1	27

Merged error: 0.3b

Counts

27 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b	(* 3.9999999999999997e-32 (pow t 2))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`associate-r`
6×	`add-exp-log`
4×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `unswap-sqr`
3×	`associate-l` `prod-exp` `add-cbrt-cube`
2×	`unpow2` `sqr-pow`
1×	`pow1` `expm1-log1p-u` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

5.0ms

(* 3.9999999999999997e-32 (pow t 2))

series28.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(* 3.9999999999999997e-32 (pow t 2))

simplify72.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	109	108
1	408	93
2	2002	93
3	5001	92

prune49.0ms

Filtered

32 candidates to 20 candidates (62.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	26	6	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	7	33

Merged error: 0.0b

Counts

33 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (sqrt 3.9999999999999997e-32) (pow t 2))
0.3b	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
17×	`add-exp-log`
12×	`associate-l`
10×	`prod-exp` `sqrt-prod`
9×	`associate-r` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity` `unswap-sqr`
5×	`unpow-prod-down`
4×	`pow1` `cbrt-unprod`
3×	`unpow2` `sqr-pow`
2×	`expm1-log1p-u` `pow-to-exp` `pow-exp` `*-commutative` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down`

Counts

2 → 60

Calls

2 calls:

6.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))
7.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))

series117.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))
72.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))

simplify154.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	172	328
1	723	279
2	3929	264
3	5001	264

prune90.0ms

Filtered

66 candidates to 37 candidates (56.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	63	3	66
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	65	8	73

Merged error: 0.0b

Counts

73 → 8

localize5.0ms

Local error

Found 3 expressions with local error:

0.2b	(* t (sqrt 3.9999999999999997e-32))
0.2b	(* (* t (sqrt 3.9999999999999997e-32)) t)
0.3b	(* (sqrt 3.9999999999999997e-32) (* (* t (sqrt 3.9999999999999997e-32)) t))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

5.0ms	(* t (sqrt 3.9999999999999997e-32))
6.0ms	(* (* t (sqrt 3.9999999999999997e-32)) t)
9.0ms	(* (sqrt 3.9999999999999997e-32) (* (* t (sqrt 3.9999999999999997e-32)) t))

series160.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(* t (sqrt 3.9999999999999997e-32))
44.0ms	(* (* t (sqrt 3.9999999999999997e-32)) t)
72.0ms	(* (sqrt 3.9999999999999997e-32) (* (* t (sqrt 3.9999999999999997e-32)) t))

simplify137.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	198	361
1	1057	281
2	4935	275
3	5001	275

prune91.0ms

Filtered

79 candidates to 45 candidates (57.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	77	2	79
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	80	7	87

Merged error: 0.0b

Counts

87 → 7

regimes22.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

sample693.0ms

Algorithm

intervals

Results

323.0ms	5935×	body	160	valid
165.0ms	2065×	body	320	valid
106.0ms	8000×	pre	80	true