Details

analyze75.0ms

Algorithm: search

sample19.0ms

Algorithm

intervals

Results

6.0ms	196×	body	80	valid
2.0ms	20×	body	640	valid
2.0ms	13×	body	1280	valid
2.0ms	19×	body	320	valid
0.0ms	8×	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: 22.9b

Counts

2 → 1

localize6.0ms

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)))
8.1b	(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite24.0ms

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:

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

series21.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(* (- 1.0 x) y)
11.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
6.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (9.0ms)

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

prune105.0ms

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: 0.0b

Counts

73 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 55

Calls

2 calls:

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

series17.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* (- 1.0 x) (/ y (+ y 1.0)))
11.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

simplify46.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	362	398
1	1550	365
2	5001	365

prune71.0ms

Filtered

44 candidates to 61 candidates (-38.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	61	3	64

Merged error: 0.0b

Counts

64 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 x) y)
0.1b	(* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
4.1b	(- 1.0 (* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0)))
16.6b	(/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

6.0ms	(* (- 1.0 x) y)
13.0ms	(* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
3.0ms	(- 1.0 (* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0)))
9.0ms	(/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0)))

series68.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (- 1.0 x) y)
12.0ms	(* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
37.0ms	(- 1.0 (* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0)))
15.0ms	(/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0)))

simplify86.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	567	1027
1	3078	900
2	5001	900

prune136.0ms

Filtered

82 candidates to 117 candidates (-42.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	117	3	120

Merged error: 0.0b

Counts

120 → 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)
13.0ms	(- (/ 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))

simplify76.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (69.0ms)

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

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	48	4	52

Merged error: 0b

Counts

52 → 4

regimes140.0ms

Accuracy

100% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 14.7b

bsearch70.0ms

Steps

Iters	Range		Point
10	0.0036169149220601562	741436564335106.2	180753691.66093755
8	-1456313562051.905	-51645516.34357107	-190079564.2684634

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

sample702.0ms

Algorithm

intervals

Results

251.0ms	383×	body	1280	valid
182.0ms	6042×	body	80	valid
80.0ms	736×	body	640	valid
48.0ms	505×	body	320	valid
19.0ms	334×	body	160	valid

Details

analyze75.0ms

sample19.0ms

simplify63.0ms

prune3.0ms

localize6.0ms

rewrite24.0ms

series21.0ms

simplify43.0ms

prune105.0ms

localize6.0ms

rewrite15.0ms

series17.0ms

simplify46.0ms

prune71.0ms

localize11.0ms

rewrite33.0ms

series68.0ms

simplify86.0ms

prune136.0ms

localize7.0ms

rewrite29.0ms

series9.0ms

simplify76.0ms

prune46.0ms

regimes140.0ms

bsearch70.0ms

simplify1.0ms

end0.0ms

analyze79.0ms

sample702.0ms

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