Details

sample25.0ms

Algorithm

intervals

Results

16.0ms

280×

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

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.2b

localize9.0ms

Local error

Found 2 expressions with local error:

2.9b	(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
4.4b	(/ (/ 1.0 x) (fma z z 1.0))

rewrite37.0ms

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))

series132.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
65.0ms	(/ (/ 1.0 x) (fma z z 1.0))

simplify108.0ms

Algorithm

egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 1 (23.0ms)

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

prune738.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (/ 1.0 (sqrt (fma z z 1.0))) (* y (* (sqrt (fma z z 1.0)) x)))
3.6b	(* y (* (sqrt (fma z z 1.0)) x))
15.4b	(sqrt (fma z z 1.0))
15.4b	(sqrt (fma z z 1.0))

rewrite43.0ms

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:

20.0ms	(/ (/ 1.0 (sqrt (fma z z 1.0))) (* y (* (sqrt (fma z z 1.0)) x)))
15.0ms	(* y (* (sqrt (fma z z 1.0)) x))
1.0ms	(sqrt (fma z z 1.0))
2.0ms	(sqrt (fma z z 1.0))

series230.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(/ (/ 1.0 (sqrt (fma z z 1.0))) (* y (* (sqrt (fma z z 1.0)) x)))
64.0ms	(* y (* (sqrt (fma z z 1.0)) x))
47.0ms	(sqrt (fma z z 1.0))
52.0ms	(sqrt (fma z z 1.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (47.0ms)

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

prune330.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.1b

localize14.0ms

Local error

Found 4 expressions with local error:

3.6b	(* y (* (sqrt (fma z z 1.0)) x))
15.4b	(sqrt (fma z z 1.0))
15.4b	(sqrt (fma z z 1.0))
15.4b	(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))

series214.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* y (* (sqrt (fma z z 1.0)) x))
52.0ms	(sqrt (fma z z 1.0))
53.0ms	(sqrt (fma z z 1.0))
48.0ms	(sqrt (fma z z 1.0))

simplify87.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (78.0ms)

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

prune240.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 5.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (/ 1.0 (sqrt (fma z z 1.0))) y)
0.7b	(/ (/ (/ 1.0 (sqrt (fma z z 1.0))) y) (* (sqrt (fma z z 1.0)) x))
15.4b	(sqrt (fma z z 1.0))
15.4b	(sqrt (fma z z 1.0))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

448×	`times-frac`
207×	`add-sqr-sqrt`
205×	`add-cube-cbrt` `*-un-lft-identity`
96×	`sqrt-prod`
92×	`associate-/l*`
30×	`add-exp-log` `add-cbrt-cube`
15×	`cbrt-undiv` `div-exp`
14×	`div-inv`
6×	`pow1`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `associate-/l/`

Counts

4 → 304

Calls

4 calls:

8.0ms	(/ (/ 1.0 (sqrt (fma z z 1.0))) y)
25.0ms	(/ (/ (/ 1.0 (sqrt (fma z z 1.0))) y) (* (sqrt (fma z z 1.0)) x))
1.0ms	(sqrt (fma z z 1.0))
1.0ms	(sqrt (fma z z 1.0))

series312.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(/ (/ 1.0 (sqrt (fma z z 1.0))) y)
60.0ms	(/ (/ (/ 1.0 (sqrt (fma z z 1.0))) y) (* (sqrt (fma z z 1.0)) x))
50.0ms	(sqrt (fma z z 1.0))
54.0ms	(sqrt (fma z z 1.0))

simplify114.0ms

Algorithm

egg-herbie

Counts

316 → 316

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	1115	3443
1	4663	3199
2	5002	3178

prune791.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 5.1b

regimes105.0ms

Accuracy

0% (1.5b remaining)

Error of 6.3b against oracle of 4.8b and baseline of 6.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	14
1	14	14

end0.0ms

sample720.0ms

Algorithm

intervals

Results

520.0ms

8629×

body

valid