Details

sample25.0ms

Algorithm

intervals

Results

11.0ms	175×	body	160	valid
5.0ms	81×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.6b

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))

rewrite1.0ms

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:

0.0ms	(fma (fma 2e-16 t 1.0) (fma 2e-16 t 1.0) -1.0)
0.0ms	(fma (- (* 2.0 t)) 2e-16 (fma (fma 2e-16 t 1.0) (fma 2e-16 t 1.0) -1.0))

series244.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(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))

simplify120.0ms

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

prune61.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 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:

6.0ms

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

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

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

simplify70.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (67.0ms)

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

prune50.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

11×	`associate-r`
8×	`sqrt-prod`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`unpow-prod-down` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `unpow2` `add-log-exp` `sqr-pow`

Counts

1 → 28

Calls

1 calls:

10.0ms

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

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify104.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (101.0ms)

Iter	Nodes	Cost
0	172	189
1	749	156
2	3418	137
3	5001	134

prune64.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 3 expressions with local error:

0.1b	(* t (sqrt 3.9999999999999997e-32))
0.1b	(* t (sqrt 3.9999999999999997e-32))
0.5b	(* (* t (sqrt 3.9999999999999997e-32)) (* t (sqrt 3.9999999999999997e-32)))

rewrite26.0ms

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:

4.0ms	(* t (sqrt 3.9999999999999997e-32))
4.0ms	(* t (sqrt 3.9999999999999997e-32))
15.0ms	(* (* t (sqrt 3.9999999999999997e-32)) (* t (sqrt 3.9999999999999997e-32)))

series160.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(* t (sqrt 3.9999999999999997e-32))
40.0ms	(* t (sqrt 3.9999999999999997e-32))
75.0ms	(* (* t (sqrt 3.9999999999999997e-32)) (* t (sqrt 3.9999999999999997e-32)))

simplify131.0ms

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

prune94.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes17.0ms

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	9	5
1	9	5

end0.0ms

sample550.0ms

Algorithm

intervals

Results

269.0ms	6030×	body	160	valid
129.0ms	1970×	body	320	valid
67.0ms	8000×	pre	80	true