Details

sample140.0ms

Algorithm

intervals

Results

57.0ms	835×	body	80	nan
25.0ms	293×	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

prune10.0ms

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 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))
0.0b	(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:

673.0ms	(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
82.0ms	(+ (fma x (log y) z) (+ t a))
348.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
53.0ms	(fma x (log y) z)

simplify76.0ms

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

prune250.0ms

Filtered

63 candidates to 54 candidates (85.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	61	2	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	3	64

Merged error: 0.1b

Counts

64 → 3

localize21.0ms

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:

6.0ms	(* (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))))

series2.8s

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)))))
629.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
538.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
533.0ms	(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

prune460.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	91	5	96

Merged error: 0.0b

Counts

96 → 5

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

81×	`cbrt-prod`
40×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3` `swap-sqr` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 104

Calls

4 calls:

8.0ms	(* (cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))) (cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))))
2.0ms	(cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
2.0ms	(cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
2.0ms	(cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))

series2.8s

Counts

4 → 12

Calls

4 calls:

1.2s	(* (cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))) (cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))))
556.0ms	(cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
573.0ms	(cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
554.0ms	(cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))

simplify57.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	403	2460
1	1428	2317
2	5001	2137

prune609.0ms

Filtered

116 candidates to 87 candidates (75.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	115	6	121

Merged error: 0.0b

Counts

121 → 6

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod`
13×	`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 → 67

Calls

4 calls:

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

series2.3s

Counts

4 → 12

Calls

4 calls:

572.0ms	(cbrt (cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))))
568.0ms	(cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
583.0ms	(cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
568.0ms	(cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))

simplify76.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 3 (63.0ms)

Iter	Nodes	Cost
0	291	1410
1	781	1324
2	2897	1300
3	5001	1251

prune760.0ms

Filtered

79 candidates to 75 candidates (94.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	79	6	85

Merged error: 0.0b

Counts

85 → 6

regimes508.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b 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	28029×	body	80	nan
742.0ms	9210×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Details

sample140.0ms

simplify38.0ms

prune10.0ms

localize19.0ms

rewrite9.0ms

series1.2s

simplify76.0ms

prune250.0ms

localize21.0ms

rewrite11.0ms

series2.8s

simplify52.0ms

prune460.0ms

localize31.0ms

rewrite17.0ms

series2.8s

simplify57.0ms

prune609.0ms

localize43.0ms

rewrite9.0ms

series2.3s

simplify76.0ms

prune760.0ms

regimes508.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.4s

Profiling