Details

sample25.0ms

Algorithm

intervals

Results

8.0ms	185×	body	160	valid
4.0ms	71×	body	320	valid
2.0ms	256×	pre	80	true

simplify62.0ms

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)
50.6b	(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))

series245.0ms

Counts

2 → 6

Calls

2 calls:

99.0ms	(fma (fma 2e-16 t 1.0) (fma 2e-16 t 1.0) -1.0)
146.0ms	(fma (- (* 2.0 t)) 2e-16 (fma (fma 2e-16 t 1.0) (fma 2e-16 t 1.0) -1.0))

simplify124.0ms

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

prune63.0ms

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:

0.2b	(* 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))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

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

simplify73.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	109	110
1	408	95
2	2002	95
3	5001	94

prune50.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (sqrt 3.9999999999999997e-32) (pow t 2))
0.3b	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))

rewrite29.0ms

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:

8.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))
16.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))

series121.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))
72.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))

simplify39.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	243	696
1	1033	484
2	5002	457

prune137.0ms

Filtered

112 candidates to 54 candidates (48.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	108	4	112
Fresh	2	2	4
Picked	0	1	1
Done	1	0	1
Total	111	7	118

Merged error: 0b

Counts

118 → 7

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (sqrt 3.9999999999999997e-32) t)
0.3b	(* (sqrt 3.9999999999999997e-32) (* (* (sqrt 3.9999999999999997e-32) t) (pow t (/ 2 2))))
0.3b	(* (* (sqrt 3.9999999999999997e-32) t) (pow t (/ 2 2)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

139×	`add-sqr-sqrt`
86×	`unswap-sqr`
60×	`associate-r`
56×	`associate-l`
39×	`add-exp-log`
37×	`sqrt-prod`
26×	`prod-exp`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`pow1` `add-cbrt-cube`
18×	`unpow-prod-down`
14×	`sqr-pow`
10×	`pow-prod-down` `cbrt-unprod`
6×	`*-commutative`
4×	`pow-to-exp` `pow-exp`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`

Counts

3 → 162

Calls

3 calls:

5.0ms	(* (sqrt 3.9999999999999997e-32) t)
25.0ms	(* (sqrt 3.9999999999999997e-32) (* (* (sqrt 3.9999999999999997e-32) t) (pow t (/ 2 2))))
15.0ms	(* (* (sqrt 3.9999999999999997e-32) t) (pow t (/ 2 2)))

series166.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(* (sqrt 3.9999999999999997e-32) t)
75.0ms	(* (sqrt 3.9999999999999997e-32) (* (* (sqrt 3.9999999999999997e-32) t) (pow t (/ 2 2))))
50.0ms	(* (* (sqrt 3.9999999999999997e-32) t) (pow t (/ 2 2)))

simplify67.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	396	1068
1	1850	877
2	5002	766

prune231.0ms

Filtered

171 candidates to 91 candidates (53.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	170	1	171
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	171	7	178

Merged error: 0b

Counts

178 → 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	14	5
1	17	5
2	17	5

end0.0ms

sample561.0ms

Algorithm

intervals

Results

260.0ms	5973×	body	160	valid
130.0ms	2027×	body	320	valid
76.0ms	8000×	pre	80	true