Details

sample59.0ms

Algorithm

intervals

Results

43.0ms	256×	body	80	valid
6.0ms	248×	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

prune7.0ms

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)

rewrite19.0ms

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

series168.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
80.0ms	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
52.0ms	(/ (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

prune316.0ms

Filtered

151 candidates to 117 candidates (77.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	149	2	151
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	149	4	153

Merged error: 0b

Counts

153 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
5×	`pow1` `associate-r`
4×	`fma-def` `associate-*r/`
3×	`expm1-log1p-u` `times-frac` `associate-l` `associate-/r*` `sum-log` `log1p-expm1-u`
2×	`cbrt-undiv` `sub-neg` `flip3--` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`+-commutative` `associate-+l+` `frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 92

Calls

3 calls:

6.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
7.0ms	(* 6.0 (- x 1.0))
11.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series157.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
44.0ms	(* 6.0 (- x 1.0))
78.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify59.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	466	778
1	2126	572
2	5002	560

prune154.0ms

Filtered

101 candidates to 64 candidates (63.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	101	4	105

Merged error: 0b

Counts

105 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ (- x 1.0) (exp (log (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))))
0.0b	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
2.9b	(exp (log (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

152×	`times-frac`
119×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`log-prod` `exp-sum`
85×	`add-cube-cbrt`
19×	`associate-/r*`
17×	`distribute-lft-out--` `difference-of-squares`
9×	`div-inv`
8×	`add-cbrt-cube` `associate-/l*`
7×	`add-exp-log`
5×	`pow1`
4×	`expm1-log1p-u` `exp-prod` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `log-div` `frac-2neg` `exp-diff` `div-exp` `clear-num` `associate-/l/`
1×	`flip3--` `div-sub` `associate-/r/` `log-pow` `flip--` `fma-udef` `rem-exp-log`

Counts

4 → 186

Calls

4 calls:

1.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
11.0ms	(/ (- x 1.0) (exp (log (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))))
3.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
4.0ms	(exp (log (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)))

series226.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
83.0ms	(/ (- x 1.0) (exp (log (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))))
46.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
51.0ms	(exp (log (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)))

simplify71.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	662	2522
1	2046	2149
2	5001	2102

prune414.0ms

Filtered

198 candidates to 142 candidates (71.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	198	0	198
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	198	4	202

Merged error: 0b

Counts

202 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- x 1.0) (log (exp (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))))
0.0b	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
0.5b	(exp (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
1.3b	(log (exp (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

166×	`times-frac`
129×	`add-sqr-sqrt` `*-un-lft-identity`
104×	`exp-prod`
98×	`log-pow`
93×	`add-cube-cbrt`
20×	`associate-/r*`
18×	`distribute-lft-out--` `difference-of-squares`
11×	`pow1`
10×	`div-inv`
8×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
5×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`log-prod`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `associate-/l/`
1×	`flip3--` `div-sub` `rem-log-exp` `flip--` `rem-exp-log`

Counts

4 → 203

Calls

4 calls:

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

series216.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(/ (- x 1.0) (log (exp (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))))
45.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
42.0ms	(exp (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
47.0ms	(log (exp (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)))

simplify70.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	699	2445
1	2277	2215
2	5001	2191

prune444.0ms

Filtered

215 candidates to 163 candidates (75.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	215	4	219

Merged error: 0b

Counts

219 → 4

regimes38.0ms

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	11	6
1	11	6

end0.0ms

sample594.0ms

Algorithm

intervals

Results

227.0ms	8000×	body	80	valid
193.0ms	7900×	body	80	nan