Details

sample56.0ms

Algorithm

intervals

Results

18.0ms	32×	body	1280	valid
12.0ms	177×	body	80	valid
10.0ms	26×	body	640	valid
3.0ms	15×	body	320	valid
1.0ms	6×	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

prune6.0ms

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: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (sin y))
0.0b	(fma (cos y) z (+ x (sin y)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `fma-udef` `distribute-lft-out`

Counts

2 → 27

Calls

2 calls:

4.0ms	(+ x (sin y))
1.0ms	(fma (cos y) z (+ x (sin y)))

series68.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ x (sin y))
43.0ms	(fma (cos y) z (+ x (sin y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	98	137
1	220	120
2	612	120
3	2378	120
4	5001	120

prune80.0ms

Filtered

33 candidates to 27 candidates (81.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Merged error: 0.0b

Counts

34 → 4

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))))

series750.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
179.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
183.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
187.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify50.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (39.0ms)

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

prune294.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

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

Merged error: 0b

Counts

97 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
8×	`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 → 53

Calls

4 calls:

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

series739.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
179.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
180.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
199.0ms	(cbrt (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y))))))

simplify49.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	431	925
1	1715	858
2	5002	825

prune270.0ms

Filtered

65 candidates to 61 candidates (93.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	65	6	71

Merged error: 0b

Counts

71 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (cos y) z (+ x (sin y)))
0.0b	(sqrt (fma (cos y) z (+ x (sin y))))
0.0b	(sqrt (fma (cos y) z (+ x (sin y))))
0.3b	(* (sqrt (fma (cos y) z (+ x (sin y)))) (sqrt (fma (cos y) z (+ x (sin y)))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`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×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

1.0ms	(fma (cos y) z (+ x (sin y)))
1.0ms	(sqrt (fma (cos y) z (+ x (sin y))))
1.0ms	(sqrt (fma (cos y) z (+ x (sin y))))
6.0ms	(* (sqrt (fma (cos y) z (+ x (sin y)))) (sqrt (fma (cos y) z (+ x (sin y)))))

series250.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(fma (cos y) z (+ x (sin y)))
84.0ms	(sqrt (fma (cos y) z (+ x (sin y))))
83.0ms	(sqrt (fma (cos y) z (+ x (sin y))))
40.0ms	(* (sqrt (fma (cos y) z (+ x (sin y)))) (sqrt (fma (cos y) z (+ x (sin y)))))

simplify147.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 3 (138.0ms)

Iter	Nodes	Cost
0	186	725
1	643	631
2	3624	599
3	5001	580

prune191.0ms

Filtered

103 candidates to 61 candidates (59.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	1	1	2
Picked	0	1	1
Done	0	3	3
Total	103	6	109

Merged error: 0b

Counts

109 → 6

regimes86.0ms

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

416.0ms	946×	body	1280	valid
316.0ms	5627×	body	80	valid
220.0ms	818×	body	640	valid
74.0ms	403×	body	320	valid
27.0ms	206×	body	160	valid

Details

sample56.0ms

simplify7.0ms

prune6.0ms

localize9.0ms

rewrite5.0ms

series68.0ms

simplify57.0ms

prune80.0ms

localize13.0ms

rewrite11.0ms

series750.0ms

simplify50.0ms

prune294.0ms

localize18.0ms

rewrite9.0ms

series739.0ms

simplify49.0ms

prune270.0ms

localize11.0ms

rewrite12.0ms

series250.0ms

simplify147.0ms

prune191.0ms

regimes86.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

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