Details

sample34.0ms

Algorithm

intervals

Results

9.0ms	272×	body	80	valid
8.0ms	278×	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

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))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(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

prune29.0ms

Filtered

13 candidates to 12 candidates (92.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	3	14

Merged error: 0.1b

Counts

14 → 3

localize9.0ms

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))))
0.3b	(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)))

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`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 84

Calls

4 calls:

5.0ms	(* (cbrt (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)))
1.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
1.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))

series552.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x))))
140.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
137.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
141.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))

simplify110.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	247	953
1	803	865
2	3787	780
3	5002	762

prune218.0ms

Filtered

96 candidates to 72 candidates (75.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	90	6	96
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	92	7	99

Merged error: 0.0b

Counts

99 → 7

localize25.0ms

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)))
0.4b	(cbrt (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)))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-prod`
25×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`*-commutative`

Counts

4 → 79

Calls

4 calls:

2.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
2.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
3.0ms	(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
12.0ms	(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))

series660.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
163.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
172.0ms	(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
133.0ms	(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))

simplify95.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	340	1131
1	931	1081
2	3511	1029
3	5003	1017

prune265.0ms

Filtered

91 candidates to 72 candidates (79.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	91	7	98

Merged error: 0.0b

Counts

98 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

7.0ms	(* (cbrt (cbrt (fma (sqrt x) y (- 1.0 x)))) (cbrt (cbrt (fma (sqrt x) y (- 1.0 x)))))
2.0ms	(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
2.0ms	(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
2.0ms	(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))

series804.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (cbrt (cbrt (fma (sqrt x) y (- 1.0 x)))) (cbrt (cbrt (fma (sqrt x) y (- 1.0 x)))))
140.0ms	(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
148.0ms	(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
384.0ms	(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))

simplify107.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	274	1499
1	842	1397
2	3734	1261
3	5002	1233

prune270.0ms

Filtered

119 candidates to 82 candidates (68.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	119	7	126

Merged error: 0.0b

Counts

126 → 7

regimes61.0ms

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

sample631.0ms

Algorithm

intervals

Results

192.0ms	8540×	body	80	valid
164.0ms	8448×	body	80	nan
0.0ms	3×	body	1280	valid
0.0ms	2×	body	640	valid