Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

274×

body

valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	21	5
1	40	4
2	69	4
3	104	4
4	146	4
5	160	4
6	160	4

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.3b

localize7.0ms

Local error

Found 2 expressions with local error:

2.4b	(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
3.4b	(/ (/ 1.0 x) (fma z z 1.0))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

468×	`times-frac`
228×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
56×	`associate-/l*`
22×	`div-inv`
16×	`add-exp-log` `add-cbrt-cube`
9×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`

Counts

2 → 266

Calls

2 calls:

16.0ms	(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
6.0ms	(/ (/ 1.0 x) (fma z z 1.0))

series128.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
58.0ms	(/ (/ 1.0 x) (fma z z 1.0))

simplify111.0ms

Algorithm

egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	1148	2808
1	4638	2733
2	5002	2733

prune775.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ (/ 1.0 (sqrt (fma z z 1.0))) (* y (* (sqrt (fma z z 1.0)) x)))
2.4b	(* y (* (sqrt (fma z z 1.0)) x))
14.7b	(sqrt (fma z z 1.0))
14.7b	(sqrt (fma z z 1.0))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
35×	`add-sqr-sqrt`
33×	`add-cube-cbrt` `*-un-lft-identity`
30×	`add-exp-log` `add-cbrt-cube`
24×	`sqrt-prod`
22×	`associate-/l*`
11×	`pow1`
9×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `pow-prod-down` `div-inv`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`frac-2neg` `associate-r` `clear-num` `associate-/r` `-commutative` `associate-/l/`

Counts

4 → 120

Calls

4 calls:

17.0ms	(/ (/ 1.0 (sqrt (fma z z 1.0))) (* y (* (sqrt (fma z z 1.0)) x)))
8.0ms	(* y (* (sqrt (fma z z 1.0)) x))
1.0ms	(sqrt (fma z z 1.0))
1.0ms	(sqrt (fma z z 1.0))

series232.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ (/ 1.0 (sqrt (fma z z 1.0))) (* y (* (sqrt (fma z z 1.0)) x)))
66.0ms	(* y (* (sqrt (fma z z 1.0)) x))
52.0ms	(sqrt (fma z z 1.0))
50.0ms	(sqrt (fma z z 1.0))

simplify63.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	567	1118
1	2247	960
2	5001	891

prune335.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.1b

localize13.0ms

Local error

Found 4 expressions with local error:

2.4b	(* y (* (sqrt (fma z z 1.0)) x))
14.7b	(sqrt (fma z z 1.0))
14.7b	(sqrt (fma z z 1.0))
14.7b	(sqrt (fma z z 1.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1`
11×	`add-sqr-sqrt`
9×	`add-exp-log` `sqrt-prod` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 65

Calls

4 calls:

8.0ms	(* y (* (sqrt (fma z z 1.0)) x))
1.0ms	(sqrt (fma z z 1.0))
1.0ms	(sqrt (fma z z 1.0))
1.0ms	(sqrt (fma z z 1.0))

series222.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* y (* (sqrt (fma z z 1.0)) x))
50.0ms	(sqrt (fma z z 1.0))
53.0ms	(sqrt (fma z z 1.0))
54.0ms	(sqrt (fma z z 1.0))

simplify82.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	202	339
1	668	315
2	2965	315
3	5002	309

prune278.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.1b

localize20.0ms

Local error

Found 4 expressions with local error:

14.7b	(sqrt (fma z z 1.0))
14.7b	(sqrt (fma z z 1.0))
14.7b	(sqrt (fma z z 1.0))
14.7b	(sqrt (fma z z 1.0))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
8×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

1.0ms	(sqrt (fma z z 1.0))
1.0ms	(sqrt (fma z z 1.0))
1.0ms	(sqrt (fma z z 1.0))
1.0ms	(sqrt (fma z z 1.0))

series212.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(sqrt (fma z z 1.0))
51.0ms	(sqrt (fma z z 1.0))
54.0ms	(sqrt (fma z z 1.0))
52.0ms	(sqrt (fma z z 1.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	97	288
1	292	276
2	1287	276
3	5001	268

prune324.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.1b

regimes141.0ms

Accuracy

0% (1.4b remaining)

Error of 6.1b against oracle of 4.8b and baseline of 6.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	25
1	21	25

end0.0ms

sample416.0ms

Algorithm

intervals

Results

238.0ms

8683×

body

valid