Details

sample29.0ms

Algorithm

intervals

Results

8.0ms	233×	body	80	valid
4.0ms	28×	body	1280	valid
4.0ms	31×	body	640	valid
1.0ms	16×	body	320	valid
1.0ms	7×	body	2560	valid
1.0ms	12×	body	160	valid

simplify90.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (17.0ms)

Iter	Nodes	Cost
0	23	6
1	75	5
2	223	4
3	515	3
4	1164	2
5	3578	2
6	5001	2

prune5.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma y (- x z) 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 y (- x z) 0)

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(fma y (- x z) 0)

simplify71.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	29	44
1	61	39
2	251	39
3	1485	39
4	5001	39

prune24.0ms

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	2	14

Merged error: 0.0b

Counts

14 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma y (- x z) 0)
0.3b	(* (sqrt (fma y (- x z) 0)) (sqrt (fma y (- x z) 0)))
3.6b	(sqrt (fma y (- x z) 0))
3.6b	(sqrt (fma y (- x z) 0))

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 y (- x z) 0)
6.0ms	(* (sqrt (fma y (- x z) 0)) (sqrt (fma y (- x z) 0)))
1.0ms	(sqrt (fma y (- x z) 0))
2.0ms	(sqrt (fma y (- x z) 0))

series186.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(fma y (- x z) 0)
35.0ms	(* (sqrt (fma y (- x z) 0)) (sqrt (fma y (- x z) 0)))
58.0ms	(sqrt (fma y (- x z) 0))
59.0ms	(sqrt (fma y (- x z) 0))

simplify153.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 3 (140.0ms)

Iter	Nodes	Cost
0	167	465
1	606	407
2	3358	383
3	5001	372

prune151.0ms

Filtered

103 candidates to 63 candidates (61.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	102	3	105

Merged error: 0.0b

Counts

105 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (fabs (cbrt (fma y (- x z) 0))) (sqrt (fma y (- x z) 0))) (sqrt (cbrt (fma y (- x z) 0))))
3.6b	(sqrt (fma y (- x z) 0))
4.1b	(cbrt (fma y (- x z) 0))
4.1b	(cbrt (fma y (- x z) 0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log` `cbrt-prod` `associate-r` `sqrt-prod` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `*-commutative`

Counts

4 → 67

Calls

4 calls:

7.0ms	(* (* (fabs (cbrt (fma y (- x z) 0))) (sqrt (fma y (- x z) 0))) (sqrt (cbrt (fma y (- x z) 0))))
1.0ms	(sqrt (fma y (- x z) 0))
1.0ms	(cbrt (fma y (- x z) 0))
1.0ms	(cbrt (fma y (- x z) 0))

series466.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (* (fabs (cbrt (fma y (- x z) 0))) (sqrt (fma y (- x z) 0))) (sqrt (cbrt (fma y (- x z) 0))))
58.0ms	(sqrt (fma y (- x z) 0))
122.0ms	(cbrt (fma y (- x z) 0))
125.0ms	(cbrt (fma y (- x z) 0))

simplify39.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	343	715
1	1255	644
2	5001	615

prune214.0ms

Filtered

79 candidates to 64 candidates (81.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	79	3	82

Merged error: 0.0b

Counts

82 → 3

regimes52.0ms

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	6	2

end0.0ms

sample932.0ms

Algorithm

intervals

Results

270.0ms	7032×	body	80	valid
162.0ms	929×	body	1280	valid
129.0ms	963×	body	640	valid
64.0ms	614×	body	320	valid
42.0ms	213×	body	2560	valid
27.0ms	367×	body	160	valid

Details

sample29.0ms

simplify90.0ms

prune5.0ms

localize5.0ms

rewrite1.0ms

series39.0ms

simplify71.0ms

prune24.0ms

localize7.0ms

rewrite12.0ms

series186.0ms

simplify153.0ms

prune151.0ms

localize11.0ms

rewrite12.0ms

series466.0ms

simplify39.0ms

prune214.0ms

regimes52.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample932.0ms

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