Details

sample24.0ms

Algorithm

intervals

Results

8.0ms	188×	body	160	valid
7.0ms	68×	body	320	valid
2.0ms	256×	pre	80	true

simplify61.0ms

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)
50.5b	(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))

series299.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(fma (fma 2e-16 t 1.0) (fma 2e-16 t 1.0) -1.0)
200.0ms	(fma (- (* 2.0 t)) 2e-16 (fma (fma 2e-16 t 1.0) (fma 2e-16 t 1.0) -1.0))

simplify118.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 3 (20.0ms)

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

prune65.0ms

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))

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

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

simplify75.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (68.0ms)

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

prune46.0ms

Filtered

32 candidates to 20 candidates (62.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	27	5	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	6	33

Merged error: 0.0b

Counts

33 → 6

localize9.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* t 3.9999999999999997e-32) (pow t (/ 2 2)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

6.0ms

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

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

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

simplify215.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 3 (212.0ms)

Iter	Nodes	Cost
0	154	113
1	654	97
2	4393	94
3	5002	87

prune46.0ms

Filtered

29 candidates to 16 candidates (55.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	27	2	29
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	29	6	35

Merged error: 0.0b

Counts

35 → 6

localize4.0ms

Local error

Found 3 expressions with local error:

0.1b	(* t (sqrt 3.9999999999999997e-32))
0.1b	(* t (sqrt 3.9999999999999997e-32))
0.4b	(* (* t (sqrt 3.9999999999999997e-32)) (* t (sqrt 3.9999999999999997e-32)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

46×	`pow1`
19×	`add-exp-log` `pow-prod-down` `add-cbrt-cube`
17×	`add-sqr-sqrt`
13×	`associate-r`
10×	`prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`sqrt-prod`
7×	`associate-l`
4×	`pow-sqr` `pow-prod-up` `unswap-sqr`
3×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

3 → 84

Calls

3 calls:

5.0ms	(* t (sqrt 3.9999999999999997e-32))
5.0ms	(* t (sqrt 3.9999999999999997e-32))
8.0ms	(* (* t (sqrt 3.9999999999999997e-32)) (* t (sqrt 3.9999999999999997e-32)))

series156.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(* t (sqrt 3.9999999999999997e-32))
39.0ms	(* t (sqrt 3.9999999999999997e-32))
72.0ms	(* (* t (sqrt 3.9999999999999997e-32)) (* t (sqrt 3.9999999999999997e-32)))

simplify132.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (126.0ms)

Iter	Nodes	Cost
0	142	336
1	657	266
2	3661	262
3	5001	257

prune101.0ms

Filtered

93 candidates to 46 candidates (49.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	2	1	3
Picked	1	0	1
Done	0	2	2
Total	93	6	99

Merged error: 0.0b

Counts

99 → 6

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	11	2
1	14	2
2	14	2

end0.0ms

sample549.0ms

Algorithm

intervals

Results

253.0ms	5959×	body	160	valid
134.0ms	2041×	body	320	valid
71.0ms	8000×	pre	80	true