Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

305×

body

valid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	5
1	29	5
2	45	5
3	56	5
4	74	5
5	86	5
6	120	5
7	136	5
8	146	5
9	150	5
10	160	5
11	446	5
12	2695	5
13	5001	5

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: 9.6b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
9.0b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

73×	`*-un-lft-identity`
52×	`times-frac`
45×	`add-sqr-sqrt`
33×	`add-cube-cbrt`
24×	`associate-r`
20×	`distribute-lft-out`
18×	`associate-l`
13×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
6×	`*-commutative` `unswap-sqr`
4×	`pow1` `associate-r/` `associate-/r`
3×	`flip3-+` `flip-+`
2×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `div-inv`

Counts

2 → 116

Calls

2 calls:

13.0ms	(* x (+ (/ x y) 1.0))
16.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series67.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* x (+ (/ x y) 1.0))
42.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify74.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	435	939
1	2134	892
2	5002	892

prune208.0ms

Filtered

122 candidates to 78 candidates (63.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	116	6	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	117	6	123

Merged error: 0b

Counts

123 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1.0) x)
0.1b	(/ (+ (/ x y) 1.0) (/ (+ x 1.0) x))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

144×	`*-un-lft-identity`
136×	`times-frac`
70×	`add-sqr-sqrt` `add-cube-cbrt`
37×	`distribute-lft-out`
22×	`associate-/r*`
12×	`associate-/r/` `associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
7×	`div-inv`
6×	`associate-/l/`
4×	`cbrt-undiv` `div-exp`
3×	`frac-2neg` `flip3-+` `clear-num` `flip-+`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`

Counts

2 → 149

Calls

2 calls:

6.0ms	(/ (+ x 1.0) x)
17.0ms	(/ (+ (/ x y) 1.0) (/ (+ x 1.0) x))

series92.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ (+ x 1.0) x)
46.0ms	(/ (+ (/ x y) 1.0) (/ (+ x 1.0) x))

simplify70.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	491	1330
1	2094	1277
2	5001	1275

prune266.0ms

Filtered

155 candidates to 98 candidates (63.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	153	2	155
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	156	5	161

Merged error: 0b

Counts

161 → 5

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (+ (/ x y) 1.0) (fma 1.0 (/ 1 x) 1))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
12×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`distribute-lft-out` `associate-/l*`
3×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
2×	`associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 35

Calls

1 calls:

10.0ms

(/ (+ (/ x y) 1.0) (fma 1.0 (/ 1 x) 1))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(/ (+ (/ x y) 1.0) (fma 1.0 (/ 1 x) 1))

simplify100.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	181	335
1	627	311
2	2987	311
3	5001	309

prune83.0ms

Filtered

38 candidates to 27 candidates (71.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	38	5	43

Merged error: 0b

Counts

43 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (- (* 1.0 1.0) (* x 1.0)))
0.0b	(* x (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))
3.5b	(/ (+ (/ x y) 1.0) (+ (pow x 3) (pow 1.0 3)))
14.6b	(* (/ (+ (/ x y) 1.0) (+ (pow x 3) (pow 1.0 3))) (* x (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))))

rewrite426.0ms

Algorithm

rewrite-expression-head

Rules

1274×	`associate-+r+`
1260×	`prod-diff`
1186×	`add-sqr-sqrt`
1098×	`*-un-lft-identity`
920×	`distribute-rgt-in` `distribute-lft-in`
790×	`add-cube-cbrt`
669×	`associate-l`
618×	`associate-r`
255×	`swap-sqr`
198×	`unswap-sqr`
193×	`*-commutative`
118×	`distribute-lft-out`
98×	`times-frac`
48×	`unpow-prod-down` `pow-unpow` `cube-prod` `associate-r/` `associate-/r` `sum-cubes`
42×	`frac-times`
30×	`flip3-+` `flip-+`
24×	`distribute-lft-out--`
21×	`associate-*l/`
20×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/l*`
15×	`fma-def`
11×	`pow1`
9×	`add-log-exp`
8×	`associate-/l/`
7×	`+-commutative` `sub-neg` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `frac-2neg` `pow-prod-down` `clear-num` `associate-/r/` `log1p-expm1-u`
3×	`cbrt-undiv` `div-exp`
2×	`sum-log` `div-inv`
1×	`associate-+r-` `diff-log`

Counts

4 → 1605

Calls

4 calls:

50.0ms	(+ (* x x) (- (* 1.0 1.0) (* x 1.0)))
61.0ms	(* x (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))
21.0ms	(/ (+ (/ x y) 1.0) (+ (pow x 3) (pow 1.0 3)))
123.0ms	(* (/ (+ (/ x y) 1.0) (+ (pow x 3) (pow 1.0 3))) (* x (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))))

series204.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (* x x) (- (* 1.0 1.0) (* x 1.0)))
42.0ms	(* x (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))
49.0ms	(/ (+ (/ x y) 1.0) (+ (pow x 3) (pow 1.0 3)))
92.0ms	(* (/ (+ (/ x y) 1.0) (+ (pow x 3) (pow 1.0 3))) (* x (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))))

simplify384.0ms

Algorithm

egg-herbie

Counts

1617 → 1617

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5001	37018

prune3.7s

Filtered

1617 candidates to 730 candidates (45.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	1616	1	1617
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	1617	5	1622

Merged error: 0b

Counts

1622 → 5

regimes46.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample376.0ms

Algorithm

intervals

Results

234.0ms

9217×

body

valid