Details

sample18.0ms

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)))
14.3b	(/ (+ 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:

15.0ms	(- (/ (+ 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)))))

series251.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
38.0ms	(+ 2.30753 (* x 0.27061))
69.0ms	(* x (+ 0.99229 (* x 0.04481)))
56.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify85.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (65.0ms)

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

prune300.0ms

Filtered

162 candidates to 111 candidates (68.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	160	2	162
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	160	3	163

Merged error: 0.0b

Counts

163 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.2b	(* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))
2.7b	(/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))))
14.9b	(fma (/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))))) (- 1.0 (* x (+ 0.99229 (* x 0.04481)))) (- x))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
18×	`pow-prod-down`
17×	`add-sqr-sqrt`
16×	`associate-*r/`
15×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
9×	`prod-exp` `cbrt-unprod`
8×	`flip3-+` `flip-+`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `frac-times` `associate-r` `associate-l` `associate-/r*` `pow-sqr` `pow-prod-up` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`associate-/l*`
2×	`pow-plus` `associate-l/` `associate-/r/` `-commutative` `associate-/l/`
1×	`cbrt-undiv` `pow2` `flip3--` `frac-2neg` `swap-sqr` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv` `unswap-sqr`

Counts

4 → 119

Calls

4 calls:

5.0ms	(* x (+ 0.99229 (* x 0.04481)))
10.0ms	(* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))
7.0ms	(/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))))
1.0ms	(fma (/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))))) (- 1.0 (* x (+ 0.99229 (* x 0.04481)))) (- x))

series270.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* x (+ 0.99229 (* x 0.04481)))
44.0ms	(* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))
74.0ms	(/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))))
89.0ms	(fma (/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))))) (- 1.0 (* x (+ 0.99229 (* x 0.04481)))) (- x))

simplify95.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	627	1495
1	3092	1247
2	5002	1217

prune299.0ms

Filtered

131 candidates to 90 candidates (68.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	131	3	134

Merged error: 0b

Counts

134 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
14.3b	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
14.9b	(fma (/ (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) (- 1.0 (* x (+ 0.99229 (* x 0.04481))))) (- 1.0 (* x (+ 0.99229 (* x 0.04481)))) (- x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

5.0ms	(* x (+ 0.99229 (* x 0.04481)))
5.0ms	(* x (+ 0.99229 (* x 0.04481)))
7.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
1.0ms	(fma (/ (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) (- 1.0 (* x (+ 0.99229 (* x 0.04481))))) (- 1.0 (* x (+ 0.99229 (* x 0.04481)))) (- x))

series310.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* x (+ 0.99229 (* x 0.04481)))
66.0ms	(* x (+ 0.99229 (* x 0.04481)))
67.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
116.0ms	(fma (/ (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) (- 1.0 (* x (+ 0.99229 (* x 0.04481))))) (- 1.0 (* x (+ 0.99229 (* x 0.04481)))) (- x))

simplify51.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	331	711
1	1348	624
2	5002	610

prune281.0ms

Filtered

99 candidates to 80 candidates (80.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	99	3	102

Merged error: 0b

Counts

102 → 3

regimes34.0ms

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	20	8
1	20	8

end0.0ms

sample411.0ms

Algorithm

intervals

Results

314.0ms

8000×

body

valid