Details

sample45.0ms

Algorithm

intervals

Results

18.0ms	189×	body	160	valid
9.0ms	67×	body	320	valid
6.0ms	256×	pre	80	true

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (12.0ms)

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:

49.6b	(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))

series239.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(fma (fma 2e-16 t 1.0) (fma 2e-16 t 1.0) -1.0)
143.0ms	(fma (- (* 2.0 t)) 2e-16 (fma (fma 2e-16 t 1.0) (fma 2e-16 t 1.0) -1.0))

simplify123.0ms

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

prune58.0ms

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))

rewrite8.0ms

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:

7.0ms

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

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

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

simplify71.0ms

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

prune49.0ms

Filtered

32 candidates to 20 candidates (62.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	25	7	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	8	33

Merged error: 0.0b

Counts

33 → 8

localize3.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 20

Calls

1 calls:

5.0ms

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

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

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

simplify52.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	96	78
1	435	63
2	2298	63
3	5001	62

prune28.0ms

Filtered

23 candidates to 12 candidates (52.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	20	3	23
Fresh	4	2	6
Picked	0	1	1
Done	0	1	1
Total	24	7	31

Merged error: 0.0b

Counts

31 → 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))

rewrite15.0ms

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:

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

series112.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))
43.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))

simplify192.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	172	328
1	723	279
2	3928	264
3	5002	264

prune79.0ms

Filtered

66 candidates to 38 candidates (57.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	65	8	73

Merged error: 0b

Counts

73 → 8

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

sample742.0ms

Algorithm

intervals

Results

351.0ms	6004×	body	160	valid
176.0ms	1996×	body	320	valid
109.0ms	8000×	pre	80	true