Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

257×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	3
1	19	3
2	21	3
3	23	3
4	25	3
5	26	3
6	26	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 (/ 841.0 108.0) x (/ 4.0 29.0))

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 (/ 841.0 108.0) x (/ 4.0 29.0))

series38.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(fma (/ 841.0 108.0) x (/ 4.0 29.0))

simplify71.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	30	53
1	54	46
2	161	46
3	607	46
4	2687	46
5	5003	46

prune33.0ms

Filtered

13 candidates to 11 candidates (84.6%)

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

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.1b	(fma (/ 841.0 108.0) x (/ 4.0 29.0))
0.1b	(fma (/ 841.0 108.0) x (/ 4.0 29.0))
0.1b	(* (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`fma-udef`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 86

Calls

4 calls:

1.0ms	(sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms	(fma (/ 841.0 108.0) x (/ 4.0 29.0))
1.0ms	(fma (/ 841.0 108.0) x (/ 4.0 29.0))
7.0ms	(* (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

series157.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
35.0ms	(fma (/ 841.0 108.0) x (/ 4.0 29.0))
39.0ms	(fma (/ 841.0 108.0) x (/ 4.0 29.0))
36.0ms	(* (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

simplify179.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	177	525
1	655	457
2	4084	433
3	5001	433

prune184.0ms

Filtered

98 candidates to 58 candidates (59.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	95	3	98
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	95	6	101

Merged error: 0.0b

Counts

101 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
0.2b	(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
0.2b	(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
0.2b	(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-prod`
44×	`add-sqr-sqrt`
29×	`sqrt-prod`
22×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `swap-sqr`
9×	`pow1/3` `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 → 109

Calls

4 calls:

8.0ms	(* (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
2.0ms	(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
2.0ms	(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
2.0ms	(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

series526.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
134.0ms	(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
127.0ms	(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
134.0ms	(cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

simplify53.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	387	1737
1	1398	1617
2	5002	1416

prune538.0ms

Filtered

121 candidates to 79 candidates (65.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	118	3	121
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	120	7	127

Merged error: 0.0b

Counts

127 → 7

localize22.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
0.8b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.8b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.8b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

rewrite13.0ms

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:

6.0ms	(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

series536.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
131.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
123.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
129.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

simplify46.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	384	1158
1	1424	1059
2	5002	895

prune430.0ms

Filtered

96 candidates to 72 candidates (75.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	95	8	103

Merged error: 0.0b

Counts

103 → 8

regimes36.0ms

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	8	3

end0.0ms

sample245.0ms

Algorithm

intervals

Results

163.0ms	8000×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid