Details

sample22.0ms

Algorithm

intervals

Results

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

simplify63.0ms

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

prune9.0ms

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))

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))

series244.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(fma (fma 2e-16 t 1.0) (fma 2e-16 t 1.0) -1.0)
147.0ms	(fma (- (* 2.0 t)) 2e-16 (fma (fma 2e-16 t 1.0) (fma 2e-16 t 1.0) -1.0))

simplify122.0ms

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

prune63.0ms

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:

5.0ms

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

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

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

simplify72.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (69.0ms)

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

prune55.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

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))

rewrite19.0ms

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)))
10.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))

series115.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))
44.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))

simplify151.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (24.0ms)

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

prune107.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b

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

0.2b

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

0.3b

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-exp-log` `add-cbrt-cube`
15×	`add-sqr-sqrt` `associate-r` `sqrt-prod`
13×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `unpow-prod-down` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`unswap-sqr`
1×	`unpow2` `sqr-pow`

Counts

3 → 78

Calls

3 calls:

4.0ms

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

8.0ms

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

10.0ms

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

series190.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms

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

60.0ms

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

94.0ms

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

simplify41.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	281	601
1	1387	500
2	5001	414

prune163.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes31.0ms

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	13	8
1	13	8

end0.0ms

sample553.0ms

Algorithm

intervals

Results

259.0ms	5992×	body	160	valid
133.0ms	2008×	body	320	valid
70.0ms	8000×	pre	80	true