Details

sample160.0ms

Algorithm

intervals

Results

66.0ms	989×	body	80	nan
26.0ms	304×	body	80	valid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

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

localize19.0ms

Local error

Found 2 expressions with local error:

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

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

series406.0ms

Counts

2 → 6

Calls

2 calls:

355.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
52.0ms	(fma x (log y) z)

simplify29.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 3 (26.0ms)

Iter	Nodes	Cost
0	95	162
1	221	139
2	800	135
3	5001	132

prune118.0ms

Filtered

26 candidates to 22 candidates (84.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	22	4	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	5	27

Merged error: 0.1b

Counts

27 → 5

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

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:

5.0ms	(* (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)))))
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))))

series2.7s

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)))))
543.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
539.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
537.0ms	(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 (36.0ms)

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

prune473.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	85	8	93
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	86	12	98

Merged error: 0.0b

Counts

98 → 12

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

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:

545.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
543.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
554.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
551.0ms	(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

prune462.0ms

Filtered

64 candidates to 60 candidates (93.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	9	9
Picked	1	0	1
Done	0	2	2
Total	64	12	76

Merged error: 0.0b

Counts

76 → 12

localize30.0ms

Local error

Found 4 expressions with local error:

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

537.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
537.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
532.0ms	(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))))

simplify52.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (42.0ms)

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

prune567.0ms

Filtered

64 candidates to 60 candidates (93.8%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	64	12	76

Merged error: 0.0b

Counts

76 → 12

regimes890.0ms

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

sample4.4s

Algorithm

intervals

Results

2.0s	27777×	body	80	nan
753.0ms	9245×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid