Details

sample25.0ms

Algorithm

intervals

Results

6.0ms	296×	body	80	nan
6.0ms	278×	body	80	valid

simplify22.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune5.0ms

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))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify45.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (16.0ms)

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

prune33.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`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` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))
0.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
0.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
1.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))

series591.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))
147.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
155.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
148.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))

simplify111.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	238	888
1	755	823
2	3353	765
3	5001	747

prune282.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 46

Calls

4 calls:

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

series572.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
135.0ms	(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))
145.0ms	(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))
137.0ms	(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))

simplify59.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	208	665
1	512	593
2	1695	585
3	5002	567

prune234.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (fma (sqrt x) y (- 1.0 x)))
0.4b	(cbrt (fma (sqrt x) y (- 1.0 x)))
0.4b	(cbrt (fma (sqrt x) y (- 1.0 x)))
0.4b	(cbrt (fma (sqrt x) y (- 1.0 x)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

0.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
0.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
0.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
1.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))

series570.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
145.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
140.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
146.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))

simplify142.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (135.0ms)

Iter	Nodes	Cost
0	129	548
1	304	512
2	997	504
3	4408	468
4	5001	432

prune262.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes67.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b 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

sample634.0ms

Algorithm

intervals

Results

189.0ms	8581×	body	80	valid
167.0ms	8492×	body	80	nan