Details

sample27.0ms

Algorithm

intervals

Results

13.0ms	345×	body	80	valid
1.0ms	4×	body	1280	valid
0.0ms	4×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (11.0ms)

Iter	Nodes	Cost
0	31	6
1	92	6
2	309	6
3	880	5
4	1630	5
5	1872	5
6	1886	5
7	1886	5

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

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

series84.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(fma t x (* y 5.0))
51.0ms	(fma (+ y z) (+ x x) (fma t x (* y 5.0)))

simplify27.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	65	129
1	164	113
2	648	111
3	5001	111

prune73.0ms

Filtered

26 candidates to 23 candidates (88.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	3	27

Merged error: 0.0b

Counts

27 → 3

localize10.0ms

Local error

Found 2 expressions with local error:

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

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

series90.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
37.0ms	(fma 5.0 y (* t x))

simplify27.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	63	128
1	162	112
2	646	110
3	5002	110

prune65.0ms

Filtered

26 candidates to 23 candidates (88.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	26	3	29

Merged error: 0.0b

Counts

29 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

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

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:

6.0ms	(* (cbrt (fma t x (* y 5.0))) (cbrt (fma t x (* y 5.0))))
4.0ms	(cbrt (fma t x (* y 5.0)))
1.0ms	(cbrt (fma t x (* y 5.0)))
1.0ms	(cbrt (fma t x (* y 5.0)))

series522.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(* (cbrt (fma t x (* y 5.0))) (cbrt (fma t x (* y 5.0))))
128.0ms	(cbrt (fma t x (* y 5.0)))
124.0ms	(cbrt (fma t x (* y 5.0)))
123.0ms	(cbrt (fma t x (* y 5.0)))

simplify70.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	232	691
1	729	636
2	2680	572
3	5001	556

prune273.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	93	3	96

Merged error: 0.0b

Counts

96 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (* (cbrt (fma t x (* y 5.0))) (cbrt (fma t x (* y 5.0))))) (cbrt (* (cbrt (fma t x (* y 5.0))) (cbrt (fma t x (* y 5.0))))))
0.6b	(cbrt (* (cbrt (fma t x (* y 5.0))) (cbrt (fma t x (* y 5.0)))))
0.6b	(cbrt (* (cbrt (fma t x (* y 5.0))) (cbrt (fma t x (* y 5.0)))))
0.6b	(cbrt (* (cbrt (fma t x (* y 5.0))) (cbrt (fma t x (* y 5.0)))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
11×	`pow1` `cbrt-prod`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `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 → 69

Calls

4 calls:

6.0ms	(* (cbrt (* (cbrt (fma t x (* y 5.0))) (cbrt (fma t x (* y 5.0))))) (cbrt (* (cbrt (fma t x (* y 5.0))) (cbrt (fma t x (* y 5.0))))))
4.0ms	(cbrt (* (cbrt (fma t x (* y 5.0))) (cbrt (fma t x (* y 5.0)))))
4.0ms	(cbrt (* (cbrt (fma t x (* y 5.0))) (cbrt (fma t x (* y 5.0)))))
4.0ms	(cbrt (* (cbrt (fma t x (* y 5.0))) (cbrt (fma t x (* y 5.0)))))

series619.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(* (cbrt (* (cbrt (fma t x (* y 5.0))) (cbrt (fma t x (* y 5.0))))) (cbrt (* (cbrt (fma t x (* y 5.0))) (cbrt (fma t x (* y 5.0))))))
153.0ms	(cbrt (* (cbrt (fma t x (* y 5.0))) (cbrt (fma t x (* y 5.0)))))
150.0ms	(cbrt (* (cbrt (fma t x (* y 5.0))) (cbrt (fma t x (* y 5.0)))))
152.0ms	(cbrt (* (cbrt (fma t x (* y 5.0))) (cbrt (fma t x (* y 5.0)))))

simplify69.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	257	1054
1	775	915
2	2622	807
3	5001	789

prune274.0ms

Filtered

81 candidates to 65 candidates (80.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	80	4	84

Merged error: 0.0b

Counts

84 → 4

regimes99.0ms

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	12	5
1	12	5

end0.0ms

sample637.0ms

Algorithm

intervals

Results

344.0ms	10655×	body	80	valid
14.0ms	94×	body	1280	valid
11.0ms	93×	body	640	valid
5.0ms	57×	body	320	valid
2.0ms	26×	body	160	valid