Details

sample39.0ms

Algorithm

intervals

Results

12.0ms	30×	body	1280	valid
9.0ms	185×	body	80	valid
6.0ms	26×	body	640	valid
2.0ms	10×	body	320	valid
1.0ms	5×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	13	5
1	22	4
2	28	4
3	28	4

prune9.0ms

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

localize9.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (cos y) z (+ x (sin y)))

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 (cos y) z (+ x (sin y)))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(fma (cos y) z (+ x (sin y)))

simplify40.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	32	74
1	70	63
2	283	63
3	1390	63
4	5001	63

prune37.0ms

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: 0.0b

Counts

14 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
0.5b	(cbrt (fma (cos y) z (+ x (sin y))))
0.5b	(cbrt (fma (cos y) z (+ x (sin y))))
0.5b	(cbrt (fma (cos y) z (+ x (sin y))))

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 (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

series703.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
171.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
172.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
173.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify48.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	349	1228
1	1568	1141
2	5001	1051

prune263.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	91	5	96

Merged error: 0.0b

Counts

96 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
0.6b	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
0.6b	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`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 → 61

Calls

4 calls:

1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
2.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
2.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
2.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))

series715.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
175.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
183.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
176.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))

simplify39.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	303	976
1	1097	918
2	5002	882

prune298.0ms

Filtered

73 candidates to 69 candidates (94.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	73	5	78

Merged error: 0.0b

Counts

78 → 5

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y))))))
0.6b	(cbrt (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y))))))
0.6b	(cbrt (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y))))))

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 (cos y) z (+ x (sin y))))
4.0ms	(cbrt (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y))))))
4.0ms	(cbrt (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y))))))
4.0ms	(cbrt (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y))))))

series773.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
197.0ms	(cbrt (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y))))))
194.0ms	(cbrt (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y))))))
195.0ms	(cbrt (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y))))))

simplify43.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	312	1003
1	1184	912
2	5001	879

prune227.0ms

Filtered

58 candidates to 54 candidates (93.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	57	6	63

Merged error: 0.0b

Counts

63 → 6

regimes88.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

end0.0ms

sample1.2s

Algorithm

intervals

Results

367.0ms	916×	body	1280	valid
296.0ms	5696×	body	80	valid
208.0ms	818×	body	640	valid
69.0ms	389×	body	320	valid
21.0ms	181×	body	160	valid