Details

sample23.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
6.0ms	247×	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: 0.0b

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))
0.1b	(/ (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))
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)

series159.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
77.0ms	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
48.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

simplify75.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 1 (15.0ms)

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

prune288.0ms

Filtered

151 candidates to 117 candidates (77.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	148	3	151
Fresh	0	1	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	(+ (+ 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))))

rewrite30.0ms

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:

9.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
7.0ms	(* 6.0 (- x 1.0))
12.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series156.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
38.0ms	(* 6.0 (- x 1.0))
78.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify62.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (53.0ms)

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

prune344.0ms

Filtered

101 candidates to 64 candidates (63.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	101	5	106

Merged error: 0b

Counts

106 → 5

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)) (/ 1 6.0)))
0.2b	(* (fma (sqrt x) 4.0 (+ x 1.0)) (/ 1 6.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 84

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)) (/ 1 6.0)))
7.0ms	(* (fma (sqrt x) 4.0 (+ x 1.0)) (/ 1 6.0))

series163.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
78.0ms	(/ (- x 1.0) (* (fma (sqrt x) 4.0 (+ x 1.0)) (/ 1 6.0)))
50.0ms	(* (fma (sqrt x) 4.0 (+ x 1.0)) (/ 1 6.0))

simplify57.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	426	735
1	1755	608
2	5003	593

prune173.0ms

Filtered

93 candidates to 66 candidates (71.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	93	5	98

Merged error: 0b

Counts

98 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
0.1b	(sqrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
0.1b	(sqrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
0.3b	(* (sqrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)) (sqrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt` `sqrt-prod`
71×	`times-frac`
58×	`add-cube-cbrt` `*-un-lft-identity`
21×	`pow1`
18×	`swap-sqr`
16×	`associate-r` `associate-l`
10×	`sqrt-pow1` `pow1/2`
9×	`unswap-sqr`
8×	`add-exp-log` `add-cbrt-cube`
7×	`div-inv`
6×	`sqrt-div`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `rem-sqrt-square` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `associate-/r` `pow-sqr` `associate-/l`
1×	`cbrt-undiv` `pow2` `frac-times` `frac-2neg` `pow-plus` `sqrt-unprod` `associate-r/` `div-exp` `associate-l/` `prod-exp` `clear-num` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 172

Calls

4 calls:

3.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
3.0ms	(sqrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
3.0ms	(sqrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
13.0ms	(* (sqrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)) (sqrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)))

series370.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
117.0ms	(sqrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
115.0ms	(sqrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
92.0ms	(* (sqrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)) (sqrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)))

simplify69.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	426	1724
1	1787	1566
2	5001	1528

prune407.0ms

Filtered

184 candidates to 128 candidates (69.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	184	5	189

Merged error: 0b

Counts

189 → 5

regimes40.0ms

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

sample614.0ms

Algorithm

intervals

Results

230.0ms	8000×	body	80	valid
207.0ms	8133×	body	80	nan