Details

sample27.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
7.0ms	252×	body	80	nan

simplify17.0ms

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: 0.0b

Counts

2 → 2

localize8.0ms

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	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

rewrite20.0ms

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))
10.0ms	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
3.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

series166.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
79.0ms	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
51.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

simplify70.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 1 (15.0ms)

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

prune304.0ms

Filtered

151 candidates to 117 candidates (77.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	147	4	151
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	148	5	153

Merged error: 0b

Counts

153 → 5

localize8.0ms

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)))

rewrite19.0ms

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))
9.0ms	(* (/ (- 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)))

series192.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
78.0ms	(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
74.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (34.0ms)

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

prune185.0ms

Filtered

99 candidates to 77 candidates (77.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	99	5	104

Merged error: 0b

Counts

104 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

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

series178.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
63.0ms	(/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0)))
78.0ms	(* (- x 1.0) (/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0))))

simplify46.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	343	685
1	1476	612
2	5001	611

prune172.0ms

Filtered

88 candidates to 71 candidates (80.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	88	5	93

Merged error: 0b

Counts

93 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- x 1.0) (cbrt (pow (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0) 3)))
0.0b	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
0.6b	(pow (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0) 3)
21.5b	(cbrt (pow (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0) 3))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

328×	`times-frac`
246×	`add-sqr-sqrt` `*-un-lft-identity`
224×	`cbrt-prod`
174×	`add-cube-cbrt`
104×	`unpow-prod-down` `cube-prod`
38×	`associate-/r*`
36×	`distribute-lft-out--` `difference-of-squares`
18×	`div-inv`
11×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`cube-mult` `unpow3` `associate-/l*` `sqr-pow`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `cube-div` `pow-unpow` `div-exp`
2×	`cbrt-div` `frac-2neg` `pow-exp` `clear-num` `associate-/l/` `rem-cube-cbrt`
1×	`pow-to-exp` `flip3--` `pow-pow` `pow1/3` `div-sub` `associate-/r/` `flip--` `rem-cbrt-cube`

Counts

4 → 354

Calls

4 calls:

15.0ms	(/ (- x 1.0) (cbrt (pow (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0) 3)))
3.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
5.0ms	(pow (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0) 3)
5.0ms	(cbrt (pow (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0) 3))

series257.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(/ (- x 1.0) (cbrt (pow (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0) 3)))
50.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
81.0ms	(pow (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0) 3)
46.0ms	(cbrt (pow (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0) 3))

simplify119.0ms

Algorithm

egg-herbie

Counts

366 → 366

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	858	5010
1	3518	4312
2	5001	4286

prune479.0ms

Filtered

366 candidates to 162 candidates (44.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	366	0	366
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	366	5	371

Merged error: 0b

Counts

371 → 5

regimes21.0ms

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

sample633.0ms

Algorithm

intervals

Results

246.0ms	8000×	body	80	valid
214.0ms	7896×	body	80	nan