Details

sample25.0ms

Algorithm

intervals

Results

7.0ms	319×	body	80	nan
6.0ms	284×	body	80	valid

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))

series39.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify40.0ms

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

prune37.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (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)))

rewrite9.0ms

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)))

series558.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))
138.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
132.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
137.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))

simplify103.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (94.0ms)

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

prune275.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

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 (* (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)))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`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 → 48

Calls

4 calls:

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

series521.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
130.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
129.0ms	(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (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)))))

simplify51.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	208	626
1	512	566
2	1695	558
3	5002	534

prune286.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

localize24.0ms

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)))))

series522.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
125.0ms	(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))
131.0ms	(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))
127.0ms	(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))

simplify53.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (47.0ms)

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

prune403.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes87.0ms

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

sample641.0ms

Algorithm

intervals

Results

190.0ms	8542×	body	80	valid
185.0ms	8715×	body	80	nan
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid