Details

sample23.0ms

Algorithm

intervals

Results

5.0ms	274×	body	80	valid
5.0ms	274×	body	80	nan

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	13	4
1	25	3
2	44	3
3	69	3
4	102	3
5	171	3
6	192	3
7	225	3
8	316	3
9	351	3
10	351	3

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (sqrt x) y (- 1.0 x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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

1 → 10

Calls

1 calls:

0.0ms

(fma (sqrt x) y (- 1.0 x))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(fma (sqrt x) y (- 1.0 x))

simplify39.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (14.0ms)

Iter	Nodes	Cost
0	64	71
1	162	57
2	476	55
3	1755	54
4	5001	54

prune30.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(pow (fma (sqrt x) y (- 1.0 x)) 3)
0.1b	(fma (sqrt x) y (- 1.0 x))
28.6b	(cbrt (pow (fma (sqrt x) y (- 1.0 x)) 3))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `fma-udef` `rem-cube-cbrt`

Counts

3 → 58

Calls

3 calls:

2.0ms	(pow (fma (sqrt x) y (- 1.0 x)) 3)
0.0ms	(fma (sqrt x) y (- 1.0 x))
2.0ms	(cbrt (pow (fma (sqrt x) y (- 1.0 x)) 3))

series137.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(pow (fma (sqrt x) y (- 1.0 x)) 3)
34.0ms	(fma (sqrt x) y (- 1.0 x))
38.0ms	(cbrt (pow (fma (sqrt x) y (- 1.0 x)) 3))

simplify184.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (178.0ms)

Iter	Nodes	Cost
0	209	406
1	731	366
2	4751	354
3	5001	352

prune124.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (sqrt x) y (- 1.0 x))
0.2b	(* (cbrt (* (fma (sqrt x) y (- 1.0 x)) (fma (sqrt x) y (- 1.0 x)))) (cbrt (fma (sqrt x) y (- 1.0 x))))
0.3b	(cbrt (fma (sqrt x) y (- 1.0 x)))
22.6b	(cbrt (* (fma (sqrt x) y (- 1.0 x)) (fma (sqrt x) y (- 1.0 x))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`cbrt-prod`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `associate-r`
4×	`expm1-log1p-u` `pow1/3` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down`
1×	`pow3` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 63

Calls

4 calls:

0.0ms	(fma (sqrt x) y (- 1.0 x))
12.0ms	(* (cbrt (* (fma (sqrt x) y (- 1.0 x)) (fma (sqrt x) y (- 1.0 x)))) (cbrt (fma (sqrt x) y (- 1.0 x))))
1.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
3.0ms	(cbrt (* (fma (sqrt x) y (- 1.0 x)) (fma (sqrt x) y (- 1.0 x))))

series320.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(fma (sqrt x) y (- 1.0 x))
34.0ms	(* (cbrt (* (fma (sqrt x) y (- 1.0 x)) (fma (sqrt x) y (- 1.0 x)))) (cbrt (fma (sqrt x) y (- 1.0 x))))
131.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
121.0ms	(cbrt (* (fma (sqrt x) y (- 1.0 x)) (fma (sqrt x) y (- 1.0 x))))

simplify83.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	295	829
1	863	741
2	3196	723
3	5001	712

prune224.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (fma (sqrt x) y (- 1.0 x)))
0.3b	(cbrt (* (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))) (cbrt (fma (sqrt x) y (- 1.0 x)))))
0.4b	(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))
22.6b	(cbrt (* (fma (sqrt x) y (- 1.0 x)) (fma (sqrt x) y (- 1.0 x))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod` `add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `pow3` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 78

Calls

4 calls:

1.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
20.0ms	(cbrt (* (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))) (cbrt (fma (sqrt x) y (- 1.0 x)))))
11.0ms	(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))
3.0ms	(cbrt (* (fma (sqrt x) y (- 1.0 x)) (fma (sqrt x) y (- 1.0 x))))

series687.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
126.0ms	(cbrt (* (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))) (cbrt (fma (sqrt x) y (- 1.0 x)))))
119.0ms	(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))
311.0ms	(cbrt (* (fma (sqrt x) y (- 1.0 x)) (fma (sqrt x) y (- 1.0 x))))

simplify110.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	260	1016
1	786	921
2	3387	753
3	5001	714

prune285.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes57.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	3

end0.0ms

sample668.0ms

Algorithm

intervals

Results

171.0ms	8511×	body	80	valid
156.0ms	8630×	body	80	nan
0.0ms	3×	body	1280	valid
0.0ms	1×	body	320	valid