Details

analyze74.0ms

Algorithm: search

sample23.0ms

Algorithm

intervals

Results

6.0ms	20×	body	640	valid
6.0ms	195×	body	80	valid
2.0ms	14×	body	1280	valid
1.0ms	17×	body	320	valid
1.0ms	10×	body	160	valid

simplify63.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	5
1	35	5
2	74	5
3	128	5
4	252	5
5	374	5
6	514	5
7	642	5
8	777	5
9	1010	5
10	1686	5
11	5002	5

prune3.0ms

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: 22.1b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 x) y)
2.6b	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
7.0b	(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `associate-l` `add-log-exp`
4×	`times-frac` `associate-l/` `associate-/r`
3×	`flip3--` `associate-r` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

6.0ms	(* (- 1.0 x) y)
7.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
8.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

series23.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* (- 1.0 x) y)
11.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
7.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	338	401
1	1456	359
2	5001	359

prune107.0ms

Filtered

51 candidates to 72 candidates (-41.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	69	3	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	3	73

Merged error: 0.1b

Counts

73 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (+ y 1.0))
0.0b	(* (- 1.0 x) (/ y (+ y 1.0)))
2.6b	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
25×	`times-frac`
21×	`add-cube-cbrt`
18×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out`
5×	`pow1` `associate-l` `add-log-exp`
4×	`associate-/r*` `associate-/r/`
3×	`flip3--` `flip--` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `flip3-+` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 88

Calls

3 calls:

5.0ms	(/ y (+ y 1.0))
11.0ms	(* (- 1.0 x) (/ y (+ y 1.0)))
3.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

series21.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(/ y (+ y 1.0))
6.0ms	(* (- 1.0 x) (/ y (+ y 1.0)))
12.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

simplify50.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	400	572
1	1790	526
2	5001	526

prune109.0ms

Filtered

70 candidates to 97 candidates (-38.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	97	3	100

Merged error: 0.1b

Counts

100 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

7.0b	(/ (* (- 1.0 x) y) (+ y 1.0))
7.0b	(/ (* (- 1.0 x) y) (+ y 1.0))
7.0b	(/ (* (- 1.0 x) y) (+ y 1.0))
13.7b	(/ (- (pow 1.0 3) (pow (/ (* (- 1.0 x) y) (+ y 1.0)) 3)) (+ (* (/ (* (- 1.0 x) y) (+ y 1.0)) (+ (/ (* (- 1.0 x) y) (+ y 1.0)) 1.0)) (* 1.0 1.0)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

136×	`add-sqr-sqrt`
92×	`*-un-lft-identity`
87×	`times-frac`
64×	`difference-of-squares`
48×	`unpow-prod-down` `cube-prod`
40×	`add-cube-cbrt`
32×	`sqr-pow`
28×	`associate-/l*`
21×	`add-exp-log` `add-cbrt-cube`
20×	`distribute-lft-out--`
15×	`associate-/r*`
8×	`associate-/r/` `associate-/l/`
7×	`cbrt-undiv` `div-exp`
6×	`associate-*l/` `distribute-lft-out`
4×	`pow1` `difference-cubes` `flip3--` `frac-2neg` `flip3-+` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
1×	`div-sub`

Counts

4 → 201

Calls

4 calls:

8.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
9.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
9.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
46.0ms	(/ (- (pow 1.0 3) (pow (/ (* (- 1.0 x) y) (+ y 1.0)) 3)) (+ (* (/ (* (- 1.0 x) y) (+ y 1.0)) (+ (/ (* (- 1.0 x) y) (+ y 1.0)) 1.0)) (* 1.0 1.0)))

series183.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
7.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
7.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
163.0ms	(/ (- (pow 1.0 3) (pow (/ (* (- 1.0 x) y) (+ y 1.0)) 3)) (+ (* (/ (* (- 1.0 x) y) (+ y 1.0)) (+ (/ (* (- 1.0 x) y) (+ y 1.0)) 1.0)) (* 1.0 1.0)))

simplify115.0ms

Algorithm

egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	660	4788
1	2954	4635
2	5001	4633

prune652.0ms

Filtered

135 candidates to 213 candidates (-57.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	212	1	213
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	213	3	216

Merged error: 0.1b

Counts

216 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1.0 (- (/ 1 y) (/ x y))) x)
0.0b	(- (/ 1 y) (/ x y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
14×	`times-frac`
6×	`add-log-exp` `difference-of-squares`
5×	`div-inv` `distribute-lft-out--`
4×	`add-cube-cbrt` `associate-+l+`
3×	`sub-neg` `distribute-rgt-out--`
2×	`pow1` `add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
1×	`+-commutative` `flip3--` `flip3-+` `diff-log` `sum-log` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

2 → 43

Calls

2 calls:

15.0ms	(+ (* 1.0 (- (/ 1 y) (/ x y))) x)
12.0ms	(- (/ 1 y) (/ x y))

series9.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ (* 1.0 (- (/ 1 y) (/ x y))) x)
4.0ms	(- (/ 1 y) (/ x y))

simplify73.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	224	317
1	627	291
2	2875	282
3	5001	274

prune46.0ms

Filtered

33 candidates to 49 candidates (-48.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	49	3	52

Merged error: 0.1b

Counts

52 → 3

regimes193.0ms

Accuracy

94.2% (0.8b remaining)

Error of 1.0b against oracle of 0.2b and baseline of 14.5b

bsearch68.0ms

Steps

Iters	Range		Point
7	11902087.090754312	789395317.2043215	227828678.70469028
8	-3.323019543340057e+46	-1.880739757468512e+43	-1.90419139465234e+43

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	10
1	29	10

end0.0ms

analyze79.0ms

Algorithm: search

sample510.0ms

Algorithm

intervals

Results

183.0ms	6078×	body	80	valid
84.0ms	712×	body	640	valid
55.0ms	395×	body	1280	valid
45.0ms	519×	body	320	valid
17.0ms	296×	body	160	valid

Details

analyze74.0ms

sample23.0ms

simplify63.0ms

prune3.0ms

localize7.0ms

rewrite23.0ms

series23.0ms

simplify44.0ms

prune107.0ms

localize9.0ms

rewrite22.0ms

series21.0ms

simplify50.0ms

prune109.0ms

localize16.0ms

rewrite82.0ms

series183.0ms

simplify115.0ms

prune652.0ms

localize7.0ms

rewrite29.0ms

series9.0ms

simplify73.0ms

prune46.0ms

regimes193.0ms

bsearch68.0ms

simplify1.0ms

end0.0ms

analyze79.0ms

sample510.0ms

Profiling