Details

sample18.0ms

Algorithm

intervals

Results

7.0ms	314×	body	80	valid
0.0ms	5×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	160	valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	3
1	34	3
2	53	3
3	63	3
4	64	3
5	64	3

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: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x (+ y z) (* z 5.0))

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 x (+ y z) (* z 5.0))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(fma x (+ y z) (* z 5.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	36	59
1	74	52
2	288	52
3	1708	52
4	5001	52

prune37.0ms

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	10	3	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	4	14

Merged error: 0.0b

Counts

14 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x z (fma 5.0 z (* x y)))
0.1b	(fma 5.0 z (* x y))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

1.0ms	(fma x z (fma 5.0 z (* x y)))
1.0ms	(fma 5.0 z (* x y))

series82.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(fma x z (fma 5.0 z (* x y)))
44.0ms	(fma 5.0 z (* x y))

simplify102.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	40	100
1	122	88
2	579	88
3	3524	88
4	5001	88

prune67.0ms

Filtered

26 candidates to 21 candidates (80.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	26	4	30

Merged error: 0.0b

Counts

30 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma 5.0 z (* x y))) (cbrt (fma 5.0 z (* x y))))
0.5b	(cbrt (fma 5.0 z (* x y)))
0.5b	(cbrt (fma 5.0 z (* x y)))
0.5b	(cbrt (fma 5.0 z (* x y)))

rewrite15.0ms

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:

9.0ms	(* (cbrt (fma 5.0 z (* x y))) (cbrt (fma 5.0 z (* x y))))
1.0ms	(cbrt (fma 5.0 z (* x y)))
1.0ms	(cbrt (fma 5.0 z (* x y)))
1.0ms	(cbrt (fma 5.0 z (* x y)))

series800.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(* (cbrt (fma 5.0 z (* x y))) (cbrt (fma 5.0 z (* x y))))
200.0ms	(cbrt (fma 5.0 z (* x y)))
200.0ms	(cbrt (fma 5.0 z (* x y)))
204.0ms	(cbrt (fma 5.0 z (* x y)))

simplify111.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	271	726
1	833	671
2	3661	604
3	5001	580

prune290.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	93	4	97

Merged error: 0.0b

Counts

97 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma 5.0 z (* x y))
0.1b	(sqrt (fma 5.0 z (* x y)))
0.1b	(sqrt (fma 5.0 z (* x y)))
0.3b	(* (sqrt (fma 5.0 z (* x y))) (sqrt (fma 5.0 z (* x y))))

rewrite13.0ms

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 5.0 z (* x y))
2.0ms	(sqrt (fma 5.0 z (* x y)))
2.0ms	(sqrt (fma 5.0 z (* x y)))
7.0ms	(* (sqrt (fma 5.0 z (* x y))) (sqrt (fma 5.0 z (* x y))))

series242.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(fma 5.0 z (* x y))
74.0ms	(sqrt (fma 5.0 z (* x y)))
80.0ms	(sqrt (fma 5.0 z (* x y)))
45.0ms	(* (sqrt (fma 5.0 z (* x y))) (sqrt (fma 5.0 z (* x y))))

simplify139.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 3 (131.0ms)

Iter	Nodes	Cost
0	143	456
1	536	404
2	3215	386
3	5002	375

prune213.0ms

Filtered

103 candidates to 62 candidates (60.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	103	4	107

Merged error: 0.0b

Counts

107 → 4

regimes57.0ms

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	3
1	8	3

end0.0ms

sample457.0ms

Algorithm

intervals

Results

217.0ms	9777×	body	80	valid
12.0ms	121×	body	640	valid
11.0ms	117×	body	1280	valid
4.0ms	75×	body	320	valid
1.0ms	29×	body	160	valid