Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	8
1	50	8
2	69	8
3	75	8
4	75	8

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
13.8b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 150

Calls

4 calls:

16.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
3.0ms	(+ 2.30753 (* x 0.27061))
5.0ms	(* x (+ 0.99229 (* x 0.04481)))
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series249.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
39.0ms	(+ 2.30753 (* x 0.27061))
67.0ms	(* x (+ 0.99229 (* x 0.04481)))
55.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify86.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	607	2052
1	2430	1584
2	5002	1517

prune305.0ms

Filtered

162 candidates to 111 candidates (68.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	159	3	162
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	160	3	163

Merged error: 0b

Counts

163 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))) x)
0.0b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
13.9b	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

354×	`times-frac`
252×	`add-sqr-sqrt`
243×	`*-un-lft-identity`
238×	`add-cube-cbrt`
132×	`prod-diff`
44×	`fma-neg`
23×	`div-inv`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp`
6×	`associate-/l*` `add-log-exp`
5×	`pow1` `associate-/r/` `difference-of-squares`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `pow-flip` `diff-log` `flip--` `fma-udef` `inv-pow`

Counts

4 → 314

Calls

4 calls:

21.0ms	(- (/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))) x)
1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
6.0ms	(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
3.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

series219.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- (/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))) x)
25.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
65.0ms	(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
65.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

simplify109.0ms

Algorithm

egg-herbie

Counts

326 → 326

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	827	4586
1	3031	3152
2	5001	3069

prune449.0ms

Filtered

326 candidates to 147 candidates (45.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	326	0	326
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	326	3	329

Merged error: 0b

Counts

329 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.30753 (* x 0.27061))
0.0b	(expm1 (log1p (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
13.8b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u`
3×	`fma-def` `associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`associate-*r/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `expm1-log1p` `frac-2neg` `distribute-lft-in` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `div-inv` `expm1-udef` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

3.0ms	(+ 2.30753 (* x 0.27061))
1.0ms	(expm1 (log1p (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
5.0ms	(* x (+ 0.99229 (* x 0.04481)))
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series373.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ 2.30753 (* x 0.27061))
206.0ms	(expm1 (log1p (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
67.0ms	(* x (+ 0.99229 (* x 0.04481)))
61.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify58.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	445	726
1	1867	631
2	5001	608

prune254.0ms

Filtered

96 candidates to 80 candidates (83.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	96	3	99

Merged error: 0b

Counts

99 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ 2.30753 (* x 0.27061)))
0.2b	(cbrt (+ 2.30753 (* x 0.27061)))
0.8b	(* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))
3.1b	(/ (cbrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
34×	`cbrt-prod`
29×	`add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-div` `times-frac`
11×	`pow1`
10×	`flip3-+` `flip-+`
8×	`add-exp-log` `pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `associate-/l*`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-/r*`
2×	`associate-r/` `pow-prod-down` `associate-l/` `associate-/r/` `pow-sqr` `pow-prod-up` `associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `pow-plus` `div-exp` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 125

Calls

4 calls:

2.0ms	(cbrt (+ 2.30753 (* x 0.27061)))
2.0ms	(cbrt (+ 2.30753 (* x 0.27061)))
8.0ms	(* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))
6.0ms	(/ (cbrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series722.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(cbrt (+ 2.30753 (* x 0.27061)))
130.0ms	(cbrt (+ 2.30753 (* x 0.27061)))
277.0ms	(* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))
187.0ms	(/ (cbrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify82.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	698	1701
1	2775	1606
2	5001	1547

prune458.0ms

Filtered

137 candidates to 110 candidates (80.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	137	3	140

Merged error: 0b

Counts

140 → 3

regimes15.0ms

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	15	6
1	15	6

end0.0ms

sample409.0ms

Algorithm

intervals

Results

317.0ms

8000×

body

valid

Details

sample19.0ms

simplify9.0ms

prune2.0ms

localize10.0ms

rewrite35.0ms

series249.0ms

simplify86.0ms

prune305.0ms

localize14.0ms

rewrite50.0ms

series219.0ms

simplify109.0ms

prune449.0ms

localize14.0ms

rewrite17.0ms

series373.0ms

simplify58.0ms

prune254.0ms

localize17.0ms

rewrite23.0ms

series722.0ms

simplify82.0ms

prune458.0ms

regimes15.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample409.0ms

Profiling