Details

sample25.0ms

Algorithm

intervals

Results

16.0ms

282×

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: 6.4b

localize7.0ms

Local error

Found 2 expressions with local error:

3.5b	(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
5.4b	(/ (/ 1.0 x) (fma z z 1.0))

rewrite40.0ms

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:

18.0ms	(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
6.0ms	(/ (/ 1.0 x) (fma z z 1.0))

series125.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
62.0ms	(/ (/ 1.0 x) (fma z z 1.0))

simplify113.0ms

Algorithm

egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 1 (23.0ms)

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

prune756.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 6.3b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (/ 1.0 x) (sqrt (fma z z 1.0)))
3.5b	(/ (/ (/ (/ 1.0 x) (sqrt (fma z z 1.0))) (sqrt (fma z z 1.0))) y)
18.5b	(sqrt (fma z z 1.0))
18.5b	(sqrt (fma z z 1.0))

rewrite397.0ms

Algorithm

rewrite-expression-head

Rules

6765×	`times-frac`
2898×	`add-sqr-sqrt`
2896×	`add-cube-cbrt` `*-un-lft-identity`
1968×	`sqrt-prod`
509×	`associate-/l*`
181×	`div-inv`
23×	`add-exp-log` `add-cbrt-cube`
13×	`cbrt-undiv` `div-exp`
9×	`associate-/r*`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `associate-/l/`

Counts

4 → 2152

Calls

4 calls:

7.0ms	(/ (/ 1.0 x) (sqrt (fma z z 1.0)))
129.0ms	(/ (/ (/ (/ 1.0 x) (sqrt (fma z z 1.0))) (sqrt (fma z z 1.0))) y)
1.0ms	(sqrt (fma z z 1.0))
1.0ms	(sqrt (fma z z 1.0))

series256.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(/ (/ 1.0 x) (sqrt (fma z z 1.0)))
68.0ms	(/ (/ (/ (/ 1.0 x) (sqrt (fma z z 1.0))) (sqrt (fma z z 1.0))) y)
55.0ms	(sqrt (fma z z 1.0))
60.0ms	(sqrt (fma z z 1.0))

simplify406.0ms

Algorithm

egg-herbie

Counts

2164 → 2164

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5001	42160

prune5.8s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 6.3b

localize26.0ms

Local error

Found 4 expressions with local error:

18.5b	(sqrt (fma z z 1.0))
18.5b	(sqrt (fma z z 1.0))
18.5b	(sqrt (fma z z 1.0))
18.5b	(sqrt (fma z z 1.0))

rewrite4.0ms

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))

series209.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(sqrt (fma z z 1.0))
56.0ms	(sqrt (fma z z 1.0))
55.0ms	(sqrt (fma z z 1.0))
49.0ms	(sqrt (fma z z 1.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (40.0ms)

Iter	Nodes	Cost
0	97	292
1	286	276
2	1261	276
3	5001	268

prune363.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 6.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.6b	(/ (/ 1.0 1) (* y (* (fma z z 1.0) x)))
3.3b	(* y (* (fma z z 1.0) x))
5.3b	(* (fma z z 1.0) x)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log`
31×	`times-frac` `add-cbrt-cube`
22×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
15×	`div-exp`
13×	`prod-exp` `associate-/l*`
10×	`pow1` `cbrt-unprod`
9×	`cbrt-undiv`
6×	`associate-l`
4×	`associate-r` `pow-prod-down`
3×	`expm1-log1p-u` `1-exp` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`*-commutative`
1×	`frac-2neg` `clear-num` `associate-/r*` `associate-/l/` `unswap-sqr`

Counts

3 → 95

Calls

3 calls:

10.0ms	(/ (/ 1.0 1) (* y (* (fma z z 1.0) x)))
6.0ms	(* y (* (fma z z 1.0) x))
3.0ms	(* (fma z z 1.0) x)

series160.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(/ (/ 1.0 1) (* y (* (fma z z 1.0) x)))
45.0ms	(* y (* (fma z z 1.0) x))
45.0ms	(* (fma z z 1.0) x)

simplify58.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	487	630
1	2259	499
2	5002	475

prune171.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 6.3b

regimes114.0ms

Accuracy

0% (1.3b remaining)

Error of 6.2b against oracle of 5.0b and baseline of 6.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	8

end0.0ms

sample687.0ms

Algorithm

intervals

Results

510.0ms

8629×

body

valid