Details

sample22.0ms

Algorithm

intervals

Results

8.0ms	185×	body	160	valid
5.0ms	71×	body	320	valid
2.0ms	256×	pre	80	true

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (14.0ms)

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 (0.0%)

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

localize12.0ms

Local error

Found 2 expressions with local error:

49.6b	(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))

series273.0ms

Counts

2 → 6

Calls

2 calls:

109.0ms	(fma (fma 2e-16 t 1.0) (fma 2e-16 t 1.0) -1.0)
163.0ms	(fma (- (* 2.0 t)) 2e-16 (fma (fma 2e-16 t 1.0) (fma 2e-16 t 1.0) -1.0))

simplify131.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 3 (24.0ms)

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

prune56.0ms

Filtered

26 candidates to 22 candidates (15.4%)

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: 0.4b

Counts

27 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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×	`pow1` `associate-l` `prod-exp` `add-cbrt-cube`
2×	`unpow2` `sqr-pow`
1×	`expm1-log1p-u` `pow-to-exp` `pow-prod-down` `pow-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

6.0ms

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

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

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

simplify76.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	109	110
1	408	95
2	1981	95
3	5002	94

prune44.0ms

Filtered

33 candidates to 20 candidates (39.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	27	6	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	7	34

Merged error: 0.0b

Counts

34 → 7

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 45

Calls

1 calls:

17.0ms

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

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

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

simplify238.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 3 (233.0ms)

Iter	Nodes	Cost
0	201	197
1	770	163
2	4905	158
3	5001	151

prune55.0ms

Filtered

48 candidates to 28 candidates (41.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	48	7	55

Merged error: 0.0b

Counts

55 → 7

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b	(* 3.9999999999999997e-32 (pow t 3/2))
0.4b	(* (* 3.9999999999999997e-32 (pow t 3/2)) (pow (sqrt t) (/ 2 2)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
34×	`unswap-sqr`
33×	`add-exp-log`
26×	`unpow-prod-down`
24×	`associate-r` `associate-l` `prod-exp`
13×	`sqr-pow`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-cbrt-cube`
8×	`pow-to-exp` `pow-exp`
7×	`sqrt-prod`
4×	`pow-prod-down` `cbrt-unprod`
3×	`*-commutative`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`

Counts

2 → 98

Calls

2 calls:

6.0ms	(* 3.9999999999999997e-32 (pow t 3/2))
23.0ms	(* (* 3.9999999999999997e-32 (pow t 3/2)) (pow (sqrt t) (/ 2 2)))

series127.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(* 3.9999999999999997e-32 (pow t 3/2))
74.0ms	(* (* 3.9999999999999997e-32 (pow t 3/2)) (pow (sqrt t) (/ 2 2)))

simplify62.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	383	646
1	1653	599
2	5001	595

prune140.0ms

Filtered

104 candidates to 61 candidates (41.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	101	3	104
Fresh	3	1	4
Picked	0	1	1
Done	0	2	2
Total	104	7	111

Merged error: 0b

Counts

111 → 7

regimes26.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	2
1	14	2
2	14	2

end0.0ms

sample553.0ms

Algorithm

intervals

Results

263.0ms	6021×	body	160	valid
127.0ms	1979×	body	320	valid
72.0ms	8000×	pre	80	true