Details

sample27.0ms

Algorithm

intervals

Results

7.0ms	271×	body	80	valid
7.0ms	273×	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

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:

1.0ms

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

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify43.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (15.0ms)

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

prune36.0ms

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

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)))

rewrite11.0ms

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:

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)))

series546.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(* (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)))
138.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
141.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))

simplify113.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (98.0ms)

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

prune248.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	91	6	97

Merged error: 0.0b

Counts

97 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

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

Counts

4 → 104

Calls

4 calls:

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

series677.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
137.0ms	(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
269.0ms	(cbrt (cbrt (fma (sqrt x) y (- 1.0 x))))
131.0ms	(* (cbrt (cbrt (fma (sqrt x) y (- 1.0 x)))) (cbrt (cbrt (fma (sqrt x) y (- 1.0 x)))))

simplify113.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	265	1420
1	812	1341
2	3526	1243
3	5003	1215

prune302.0ms

Filtered

116 candidates to 82 candidates (70.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	115	7	122

Merged error: 0.0b

Counts

122 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

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:

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

series507.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(cbrt (fma (sqrt x) y (- 1.0 x)))
123.0ms	(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))
123.0ms	(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))
128.0ms	(cbrt (* (cbrt (fma (sqrt x) y (- 1.0 x))) (cbrt (fma (sqrt x) y (- 1.0 x)))))

simplify54.0ms

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

prune190.0ms

Filtered

58 candidates to 54 candidates (93.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	57	8	65

Merged error: 0.0b

Counts

65 → 8

regimes69.0ms

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

sample633.0ms

Algorithm

intervals

Results

187.0ms	8520×	body	80	valid
170.0ms	8510×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid