Details

sample29.0ms

Algorithm

intervals

Results

8.0ms	271×	body	80	valid
8.0ms	292×	body	80	nan

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

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize6.0ms

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:

1.0ms

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

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify43.0ms

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

prune35.0ms

Filtered

13 candidates to 12 candidates (92.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	10	3	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	4	14

Merged error: 0.1b

Counts

14 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

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:

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

series548.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
137.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
140.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
129.0ms	(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))

simplify114.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (103.0ms)

Iter	Nodes	Cost
0	238	888
1	762	823
2	3359	765
3	5002	747

prune239.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	89	8	97

Merged error: 0.1b

Counts

97 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
49×	`cbrt-prod`
28×	`add-cube-cbrt` `*-un-lft-identity`
25×	`pow1`
19×	`pow1/3`
18×	`swap-sqr` `associate-r` `associate-l`
12×	`unswap-sqr`
10×	`add-exp-log`
6×	`pow-prod-down` `pow-sqr` `pow-prod-up`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 137

Calls

4 calls:

4.0ms	(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))
6.0ms	(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))
6.0ms	(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))
6.0ms	(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))

series511.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))
125.0ms	(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))
130.0ms	(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))
127.0ms	(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))

simplify124.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 3 (108.0ms)

Iter	Nodes	Cost
0	233	1607
1	768	1472
2	3526	1320
3	5001	1290

prune435.0ms

Filtered

149 candidates to 104 candidates (69.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	147	2	149
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	148	9	157

Merged error: 0.0b

Counts

157 → 9

localize21.0ms

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt`
64×	`cbrt-prod`
36×	`add-cube-cbrt` `*-un-lft-identity`
32×	`pow1`
24×	`pow1/3` `swap-sqr` `associate-r` `associate-l`
16×	`unswap-sqr`
12×	`add-exp-log`
8×	`pow-prod-down` `pow-sqr` `pow-prod-up`
4×	`pow2` `expm1-log1p-u` `pow-plus` `prod-exp` `*-commutative` `add-cbrt-cube` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`

Counts

4 → 168

Calls

4 calls:

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

series506.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))
124.0ms	(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))
128.0ms	(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))
125.0ms	(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))

simplify94.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	155	1908
1	535	1756
2	2534	1560
3	5001	1524

prune526.0ms

Filtered

180 candidates to 120 candidates (66.7%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	180	9	189

Merged error: 0.0b

Counts

189 → 9

regimes122.0ms

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

sample814.0ms

Algorithm

intervals

Results

266.0ms	8528×	body	80	valid
250.0ms	8446×	body	80	nan
0.0ms	1×	body	640	valid