Details

sample39.0ms

Algorithm

intervals

Results

12.0ms	32×	body	1280	valid
9.0ms	187×	body	80	valid
5.0ms	21×	body	640	valid
1.0ms	9×	body	320	valid
1.0ms	7×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

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)))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify36.0ms

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma (cos y) z (+ x (sin y))))
0.1b	(fma (cos y) z (+ x (sin y)))
0.1b	(fma (cos y) z (+ x (sin y)))
0.2b	(* (sqrt (fma (cos y) z (+ x (sin y)))) (sqrt (fma (cos y) z (+ x (sin y)))))

rewrite11.0ms

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

series199.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(sqrt (fma (cos y) z (+ x (sin y))))
38.0ms	(fma (cos y) z (+ x (sin y)))
41.0ms	(fma (cos y) z (+ x (sin y)))
38.0ms	(* (sqrt (fma (cos y) z (+ x (sin y)))) (sqrt (fma (cos y) z (+ x (sin y)))))

simplify143.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 3 (135.0ms)

Iter	Nodes	Cost
0	186	668
1	643	577
2	3624	548
3	5001	525

prune205.0ms

Filtered

98 candidates to 58 candidates (59.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	95	3	98
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	96	5	101

Merged error: 0.0b

Counts

101 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (cos y) z (+ x (sin y)))
0.1b	(fma (cos y) z (+ x (sin y)))
0.2b	(* (pow (sqrt (sqrt (fma (cos y) z (+ x (sin y))))) 3) (sqrt (sqrt (fma (cos y) z (+ x (sin y))))))
0.3b	(pow (sqrt (sqrt (fma (cos y) z (+ x (sin y))))) 3)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

87×	`sqrt-prod`
66×	`add-sqr-sqrt`
27×	`unpow-prod-down` `cube-prod`
24×	`associate-l` `unswap-sqr`
21×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log`
9×	`associate-r`
8×	`pow1`
7×	`add-cbrt-cube`
5×	`pow-pow` `sqr-pow`
4×	`expm1-log1p-u` `sqrt-pow1` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `pow1/2` `unpow3` `pow-exp` `fma-udef`
1×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 135

Calls

4 calls:

1.0ms	(fma (cos y) z (+ x (sin y)))
1.0ms	(fma (cos y) z (+ x (sin y)))
16.0ms	(* (pow (sqrt (sqrt (fma (cos y) z (+ x (sin y))))) 3) (sqrt (sqrt (fma (cos y) z (+ x (sin y))))))
4.0ms	(pow (sqrt (sqrt (fma (cos y) z (+ x (sin y))))) 3)

series335.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(fma (cos y) z (+ x (sin y)))
42.0ms	(fma (cos y) z (+ x (sin y)))
38.0ms	(* (pow (sqrt (sqrt (fma (cos y) z (+ x (sin y))))) 3) (sqrt (sqrt (fma (cos y) z (+ x (sin y))))))
217.0ms	(pow (sqrt (sqrt (fma (cos y) z (+ x (sin y))))) 3)

simplify71.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	405	1744
1	1935	1484
2	5001	1251

prune295.0ms

Filtered

147 candidates to 71 candidates (48.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	146	1	147
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	147	5	152

Merged error: 0.0b

Counts

152 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (sqrt (fma (cos y) z (+ x (sin y)))))
0.1b	(fma (cos y) z (+ x (sin y)))
0.1b	(fma (cos y) z (+ x (sin y)))
0.2b	(* (pow (fma (cos y) z (+ x (sin y))) 3/4) (sqrt (sqrt (fma (cos y) z (+ x (sin y))))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `sqrt-prod`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log` `associate-r` `unswap-sqr`
7×	`pow1` `sqrt-pow1` `associate-l`
6×	`unpow-prod-down` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow1/2` `prod-exp`
2×	`rem-sqrt-square` `pow-prod-up` `fma-udef`
1×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 82

Calls

4 calls:

2.0ms	(sqrt (sqrt (fma (cos y) z (+ x (sin y)))))
1.0ms	(fma (cos y) z (+ x (sin y)))
1.0ms	(fma (cos y) z (+ x (sin y)))
8.0ms	(* (pow (fma (cos y) z (+ x (sin y))) 3/4) (sqrt (sqrt (fma (cos y) z (+ x (sin y))))))

series306.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(sqrt (sqrt (fma (cos y) z (+ x (sin y)))))
38.0ms	(fma (cos y) z (+ x (sin y)))
44.0ms	(fma (cos y) z (+ x (sin y)))
41.0ms	(* (pow (fma (cos y) z (+ x (sin y))) 3/4) (sqrt (sqrt (fma (cos y) z (+ x (sin y))))))

simplify43.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	309	1061
1	1182	1001
2	5002	989

prune246.0ms

Filtered

94 candidates to 64 candidates (68.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	94	5	99

Merged error: 0.0b

Counts

99 → 5

regimes81.0ms

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

397.0ms	996×	body	1280	valid
285.0ms	5531×	body	80	valid
204.0ms	830×	body	640	valid
76.0ms	430×	body	320	valid
24.0ms	213×	body	160	valid

Details

sample39.0ms

simplify6.0ms

prune9.0ms

localize9.0ms

rewrite1.0ms

series38.0ms

simplify36.0ms

prune37.0ms

localize10.0ms

rewrite11.0ms

series199.0ms

simplify143.0ms

prune205.0ms

localize14.0ms

rewrite27.0ms

series335.0ms

simplify71.0ms

prune295.0ms

localize16.0ms

rewrite13.0ms

series306.0ms

simplify43.0ms

prune246.0ms

regimes81.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

Profiling