Details

sample23.0ms

Algorithm

intervals

Results

7.0ms	186×	body	160	valid
4.0ms	70×	body	320	valid
2.0ms	256×	pre	80	true

simplify71.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.6b

localize8.0ms

Local error

Found 2 expressions with local error:

49.5b	(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))

series223.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(fma (fma 2e-16 t 1.0) (fma 2e-16 t 1.0) -1.0)
133.0ms	(fma (- (* 2.0 t)) 2e-16 (fma (fma 2e-16 t 1.0) (fma 2e-16 t 1.0) -1.0))

simplify127.0ms

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

prune64.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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:

11.0ms

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

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify76.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (73.0ms)

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

prune49.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

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:

27.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))
15.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))

series112.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))
45.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))

simplify150.0ms

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

prune96.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b

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

0.2b

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

0.4b

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

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

48×	`sqrt-prod`
46×	`pow1`
45×	`add-sqr-sqrt`
28×	`pow-prod-down`
23×	`associate-r`
20×	`unswap-sqr`
19×	`add-exp-log` `add-cbrt-cube`
16×	`pow1/2`
13×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
10×	`unpow-prod-down` `prod-exp` `cbrt-unprod`
7×	`sqrt-unprod`
6×	`unpow2` `sqr-pow`
5×	`pow-sqr` `pow-prod-up`
3×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`pow-plus`
1×	`pow2` `swap-sqr` `rem-square-sqrt`

Counts

3 → 125

Calls

3 calls:

17.0ms

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

18.0ms

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

61.0ms

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

series137.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms

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

37.0ms

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

67.0ms

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

simplify44.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	211	736
1	925	603
2	5002	595

prune201.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes20.0ms

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

sample542.0ms

Algorithm

intervals

Results

243.0ms	6040×	body	160	valid
117.0ms	1960×	body	320	valid
66.0ms	8000×	pre	80	true