Details

sample22.0ms

Algorithm

intervals

Results

8.0ms	196×	body	160	valid
4.0ms	60×	body	320	valid
2.0ms	256×	pre	80	true

simplify69.0ms

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 (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

localize11.0ms

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)
50.6b	(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))

series268.0ms

Counts

2 → 6

Calls

2 calls:

111.0ms	(fma (fma 2e-16 t 1.0) (fma 2e-16 t 1.0) -1.0)
157.0ms	(fma (- (* 2.0 t)) 2e-16 (fma (fma 2e-16 t 1.0) (fma 2e-16 t 1.0) -1.0))

simplify136.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 3 (27.0ms)

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

prune53.0ms

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))

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))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify77.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 3 (74.0ms)

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

prune40.0ms

Filtered

33 candidates to 20 candidates (60.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	28	5	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	6	34

Merged error: 0.0b

Counts

34 → 6

localize3.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 33

Calls

1 calls:

7.0ms

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

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify61.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	127	122
1	478	107
2	2445	101
3	5002	99

prune37.0ms

Filtered

36 candidates to 20 candidates (55.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	35	7	42

Merged error: 0.0b

Counts

42 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

81×	`add-sqr-sqrt`
50×	`unswap-sqr`
43×	`associate-r`
34×	`sqrt-prod`
18×	`associate-l`
17×	`add-exp-log`
14×	`unpow-prod-down`
13×	`add-cube-cbrt` `*-un-lft-identity`
10×	`prod-exp` `unpow2` `sqr-pow`
9×	`pow1` `add-cbrt-cube`
4×	`pow-prod-down` `cbrt-unprod`
3×	`*-commutative`
2×	`expm1-log1p-u` `pow-to-exp` `pow-exp` `log1p-expm1-u` `add-log-exp`

Counts

2 → 106

Calls

2 calls:

17.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))
8.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))

series130.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))
53.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))

simplify51.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	243	696
1	1035	484
2	5002	457

prune104.0ms

Filtered

112 candidates to 54 candidates (48.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	109	3	112
Fresh	2	2	4
Picked	1	0	1
Done	1	1	2
Total	113	6	119

Merged error: 0b

Counts

119 → 6

regimes21.0ms

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

sample545.0ms

Algorithm

intervals

Results

248.0ms	5932×	body	160	valid
135.0ms	2068×	body	320	valid
71.0ms	8000×	pre	80	true