Details

sample24.0ms

Algorithm

intervals

Results

11.0ms	202×	body	160	valid
3.0ms	54×	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

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:

49.6b	(fma (fma 2e-16 t 1.0) (fma 2e-16 t 1.0) -1.0)
50.4b	(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:

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))

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

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))

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×	`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))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify73.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (70.0ms)

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

prune54.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* 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:

11.0ms

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify107.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (104.0ms)

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

prune59.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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:

12.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))
8.0ms	(* (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))

simplify146.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (23.0ms)

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

prune89.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes27.0ms

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	10	5
1	10	5

end0.0ms

sample520.0ms

Algorithm

intervals

Results

240.0ms	5982×	body	160	valid
121.0ms	2018×	body	320	valid
69.0ms	8000×	pre	80	true