Details

sample157.0ms

Algorithm

intervals

Results

66.0ms	955×	body	80	nan
25.0ms	295×	body	80	valid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	39	10
1	111	8
2	464	8
3	1654	8
4	5001	8

prune15.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
0.0b	(+ (fma x (log y) z) (+ t a))
0.1b	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
0.1b	(fma x (log y) z)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

1.0ms	(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
6.0ms	(+ (fma x (log y) z) (+ t a))
1.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
1.0ms	(fma x (log y) z)

series1.2s

Counts

4 → 12

Calls

4 calls:

663.0ms	(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
85.0ms	(+ (fma x (log y) z) (+ t a))
357.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
54.0ms	(fma x (log y) z)

simplify75.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	209	399
1	681	352
2	3384	347
3	5001	346

prune260.0ms

Filtered

63 candidates to 54 candidates (85.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	59	4	63
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	61	4	65

Merged error: 0.1b

Counts

65 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (fma x (log y) (+ t z)) a)
0.0b	(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
0.1b	(fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))
0.1b	(fma x (log y) (+ t z))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 48

Calls

4 calls:

3.0ms	(+ (fma x (log y) (+ t z)) a)
1.0ms	(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
1.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))
1.0ms	(fma x (log y) (+ t z))

series1.2s

Counts

4 → 12

Calls

4 calls:

83.0ms	(+ (fma x (log y) (+ t z)) a)
663.0ms	(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
357.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))
49.0ms	(fma x (log y) (+ t z))

simplify65.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	184	400
1	547	354
2	2741	348
3	5001	347

prune227.0ms

Filtered

60 candidates to 53 candidates (88.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	60	4	64

Merged error: 0.1b

Counts

64 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
0.6b	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
0.6b	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
0.6b	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))

rewrite17.0ms

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:

10.0ms	(* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
2.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
1.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
1.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))

series2.8s

Counts

4 → 12

Calls

4 calls:

1.1s	(* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
542.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
542.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
573.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))

simplify52.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	380	1678
1	1357	1552
2	5002	1427

prune474.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	85	8	93
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	87	10	97

Merged error: 0.0b

Counts

97 → 10

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
0.6b	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
0.6b	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
0.6b	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`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 → 52

Calls

4 calls:

1.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
1.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
1.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
1.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))

series2.2s

Counts

4 → 12

Calls

4 calls:

549.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
549.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
527.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
545.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))

simplify53.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (43.0ms)

Iter	Nodes	Cost
0	181	1004
1	465	932
2	1739	904
3	5002	896

prune390.0ms

Filtered

64 candidates to 60 candidates (93.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	64	10	74

Merged error: 0.0b

Counts

74 → 10

regimes815.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	8
1	19	8

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.9s	27580×	body	80	nan
717.0ms	9186×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid