Details

sample29.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
9.0ms	252×	body	80	nan

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	21	7
1	41	6
2	69	6
3	95	6
4	125	6
5	140	6
6	142	6
7	142	6

prune6.0ms

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

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.1b	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
0.1b	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

128×	`times-frac`
95×	`add-sqr-sqrt` `*-un-lft-identity`
67×	`add-cube-cbrt`
16×	`associate-/r*`
14×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`flip3--` `div-sub` `associate-/r/` `flip--` `fma-udef`

Counts

3 → 142

Calls

3 calls:

1.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
3.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
9.0ms	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

series158.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
44.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
77.0ms	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

simplify67.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	627	1691
1	2379	1609
2	5002	1609

prune362.0ms

Filtered

151 candidates to 117 candidates (77.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	145	6	151
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	147	6	153

Merged error: 0b

Counts

153 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
0.0b	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
19×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*`
3×	`expm1-log1p-u` `associate-r` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`flip3--` `frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `flip--` `fma-udef`

Counts

3 → 90

Calls

3 calls:

1.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
8.0ms	(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
6.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series190.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
79.0ms	(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
73.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify43.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	357	827
1	1182	752
2	5001	738

prune202.0ms

Filtered

99 candidates to 77 candidates (77.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	99	6	105

Merged error: 0b

Counts

105 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (log1p (expm1 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))) 6.0)
0.0b	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
0.1b	(log1p (expm1 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))
0.5b	(expm1 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
16×	`add-cube-cbrt`
15×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
5×	`log1p-expm1-u` `associate-/l*`
4×	`expm1-log1p-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`associate-r` `associate-l` `associate-/r*`
2×	`associate-/l/`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `flip3--` `frac-2neg` `div-sub` `log1p-expm1` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `expm1-udef` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

3.0ms	(* (log1p (expm1 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))) 6.0)
6.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
1.0ms	(log1p (expm1 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))
1.0ms	(expm1 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))

series535.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(* (log1p (expm1 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))) 6.0)
71.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
171.0ms	(log1p (expm1 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))
111.0ms	(expm1 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))

simplify40.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	342	847
1	1091	748
2	5001	729

prune205.0ms

Filtered

94 candidates to 74 candidates (78.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	94	6	100

Merged error: 0b

Counts

100 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
0.1b	(/ (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 6.0))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

652×	`times-frac`
371×	`add-sqr-sqrt` `*-un-lft-identity`
279×	`add-cube-cbrt`
46×	`distribute-lft-out--` `difference-of-squares`
36×	`div-inv`
27×	`add-exp-log`
24×	`associate-/l*`
17×	`div-exp` `add-cbrt-cube`
16×	`associate-/r*`
9×	`cbrt-undiv`
3×	`pow1` `expm1-log1p-u` `div-sub` `log1p-expm1-u` `associate-/l/` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`flip3--` `associate-/r/` `flip--` `fma-udef`

Counts

3 → 356

Calls

3 calls:

1.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
6.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
14.0ms	(/ (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 6.0))

series182.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
69.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
79.0ms	(/ (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 6.0))

simplify86.0ms

Algorithm

egg-herbie

Counts

365 → 365

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1624	5786
1	5001	5326

prune616.0ms

Filtered

365 candidates to 204 candidates (55.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	365	0	365
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	365	6	371

Merged error: 0b

Counts

371 → 6

regimes24.0ms

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	6
1	12	6

end0.0ms

sample830.0ms

Algorithm

intervals

Results

334.0ms	8000×	body	80	valid
296.0ms	7954×	body	80	nan

Details

sample29.0ms

simplify16.0ms

prune6.0ms

localize8.0ms

rewrite21.0ms

series158.0ms

simplify67.0ms

prune362.0ms

localize9.0ms

rewrite18.0ms

series190.0ms

simplify43.0ms

prune202.0ms

localize12.0ms

rewrite13.0ms

series535.0ms

simplify40.0ms

prune205.0ms

localize10.0ms

rewrite47.0ms

series182.0ms

simplify86.0ms

prune616.0ms

regimes24.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample830.0ms

Profiling