Details

sample34.0ms

Algorithm

intervals

Results

11.0ms	274×	body	80	valid
10.0ms	302×	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))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify41.0ms

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

prune29.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma (sqrt x) y (- 1.0 x)))
0.1b	(fma (sqrt x) y (- 1.0 x))
0.1b	(fma (sqrt x) y (- 1.0 x))
0.1b	(* (sqrt (fma (sqrt x) y (- 1.0 x))) (sqrt (fma (sqrt x) y (- 1.0 x))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

1.0ms	(sqrt (fma (sqrt x) y (- 1.0 x)))
0.0ms	(fma (sqrt x) y (- 1.0 x))
0.0ms	(fma (sqrt x) y (- 1.0 x))
7.0ms	(* (sqrt (fma (sqrt x) y (- 1.0 x))) (sqrt (fma (sqrt x) y (- 1.0 x))))

series193.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(sqrt (fma (sqrt x) y (- 1.0 x)))
40.0ms	(fma (sqrt x) y (- 1.0 x))
37.0ms	(fma (sqrt x) y (- 1.0 x))
40.0ms	(* (sqrt (fma (sqrt x) y (- 1.0 x))) (sqrt (fma (sqrt x) y (- 1.0 x))))

simplify148.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 3 (140.0ms)

Iter	Nodes	Cost
0	202	579
1	700	493
2	3972	465
3	5001	462

prune198.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

87×	`sqrt-prod`
66×	`add-sqr-sqrt`
27×	`unpow-prod-down` `cube-prod`
24×	`associate-r` `unswap-sqr`
21×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log`
9×	`associate-l`
8×	`pow1`
7×	`add-cbrt-cube`
5×	`pow-pow` `sqr-pow`
4×	`expm1-log1p-u` `sqrt-pow1` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `pow1/2` `unpow3` `pow-exp` `fma-udef`
1×	`*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 134

Calls

4 calls:

19.0ms	(* (sqrt (sqrt (fma (sqrt x) y (- 1.0 x)))) (pow (sqrt (sqrt (fma (sqrt x) y (- 1.0 x)))) 3))
0.0ms	(fma (sqrt x) y (- 1.0 x))
0.0ms	(fma (sqrt x) y (- 1.0 x))
3.0ms	(pow (sqrt (sqrt (fma (sqrt x) y (- 1.0 x)))) 3)

series361.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (sqrt (sqrt (fma (sqrt x) y (- 1.0 x)))) (pow (sqrt (sqrt (fma (sqrt x) y (- 1.0 x)))) 3))
42.0ms	(fma (sqrt x) y (- 1.0 x))
37.0ms	(fma (sqrt x) y (- 1.0 x))
243.0ms	(pow (sqrt (sqrt (fma (sqrt x) y (- 1.0 x)))) 3)

simplify64.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	392	1805
1	1683	1256
2	5001	1051

prune271.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (sqrt (sqrt (fma (sqrt x) y (- 1.0 x)))) (/ 3 2))
0.1b	(fma (sqrt x) y (- 1.0 x))
0.1b	(fma (sqrt x) y (- 1.0 x))
0.1b	(pow (sqrt (sqrt (fma (sqrt x) y (- 1.0 x)))) 5/2)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `sqrt-prod`
16×	`pow-unpow`
10×	`pow1` `pow-pow`
9×	`times-frac`
8×	`sqrt-pow1`
6×	`add-exp-log`
4×	`expm1-log1p-u` `pow1/2` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `pow-exp` `sqrt-pow2` `fma-udef` `sqr-pow`
1×	`div-inv`

Counts

4 → 90

Calls

4 calls:

6.0ms	(pow (sqrt (sqrt (fma (sqrt x) y (- 1.0 x)))) (/ 3 2))
0.0ms	(fma (sqrt x) y (- 1.0 x))
0.0ms	(fma (sqrt x) y (- 1.0 x))
3.0ms	(pow (sqrt (sqrt (fma (sqrt x) y (- 1.0 x)))) 5/2)

series505.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(pow (sqrt (sqrt (fma (sqrt x) y (- 1.0 x)))) (/ 3 2))
38.0ms	(fma (sqrt x) y (- 1.0 x))
41.0ms	(fma (sqrt x) y (- 1.0 x))
209.0ms	(pow (sqrt (sqrt (fma (sqrt x) y (- 1.0 x)))) 5/2)

simplify54.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	557	843
1	1857	779
2	5001	771

prune447.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes45.0ms

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

sample1.0s

Algorithm

intervals

Results

378.0ms	8529×	body	80	valid
321.0ms	8642×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid