Details

sample23.0ms

Algorithm

intervals

Results

6.0ms	192×	body	80	valid
2.0ms	21×	body	640	valid
2.0ms	14×	body	1280	valid
2.0ms	20×	body	320	valid
0.0ms	9×	body	160	valid

simplify60.0ms

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

prune7.0ms

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: 23.7b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 x) y)
3.5b	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
7.9b	(/ (* (- 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))

series142.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(* (- 1.0 x) y)
67.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
44.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (10.0ms)

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

prune194.0ms

Filtered

72 candidates to 51 candidates (70.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	70	2	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	2	73

Merged error: 0.1b

Counts

73 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

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))
14.0ms	(* (- 1.0 x) (/ y (+ y 1.0)))
3.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

series144.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ y (+ y 1.0))
46.0ms	(* (- 1.0 x) (/ y (+ y 1.0)))
65.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

simplify52.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (10.0ms)

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

prune234.0ms

Filtered

97 candidates to 70 candidates (72.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	97	2	99

Merged error: 0.1b

Counts

99 → 2

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:

16.0ms	(+ (* 1.0 (- (/ 1 y) (/ x y))) x)
12.0ms	(- (/ 1 y) (/ x y))

series50.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ (* 1.0 (- (/ 1 y) (/ x y))) x)
19.0ms	(- (/ 1 y) (/ x y))

simplify76.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (71.0ms)

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

prune112.0ms

Filtered

49 candidates to 33 candidates (67.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	48	3	51

Merged error: 0.1b

Counts

51 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (/ 1 y) (/ x y))) (cbrt (- (/ 1 y) (/ x y))))
9.6b	(cbrt (- (/ 1 y) (/ x y)))
9.6b	(cbrt (- (/ 1 y) (/ x y)))
9.6b	(cbrt (- (/ 1 y) (/ x y)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

156×	`add-sqr-sqrt`
145×	`*-un-lft-identity`
139×	`cbrt-prod`
98×	`times-frac`
52×	`cbrt-div`
45×	`div-inv`
43×	`distribute-lft-out--`
42×	`difference-of-squares`
29×	`add-cube-cbrt`
28×	`swap-sqr`
25×	`distribute-rgt-out--`
20×	`associate-r` `associate-l`
16×	`frac-times`
13×	`flip3--` `frac-sub` `flip--` `sub-div`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log`
4×	`associate-r/` `associate-l/` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 201

Calls

4 calls:

35.0ms	(* (cbrt (- (/ 1 y) (/ x y))) (cbrt (- (/ 1 y) (/ x y))))
12.0ms	(cbrt (- (/ 1 y) (/ x y)))
12.0ms	(cbrt (- (/ 1 y) (/ x y)))
14.0ms	(cbrt (- (/ 1 y) (/ x y)))

series313.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* (cbrt (- (/ 1 y) (/ x y))) (cbrt (- (/ 1 y) (/ x y))))
75.0ms	(cbrt (- (/ 1 y) (/ x y)))
71.0ms	(cbrt (- (/ 1 y) (/ x y)))
76.0ms	(cbrt (- (/ 1 y) (/ x y)))

simplify75.0ms

Algorithm

egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	520	2571
1	1779	2415
2	5001	2314

prune671.0ms

Filtered

213 candidates to 138 candidates (64.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	211	2	213
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	211	5	216

Merged error: 0.1b

Counts

216 → 5

regimes191.0ms

Accuracy

100% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 14.3b

bsearch82.0ms

Steps

Iters	Range		Point
8	114238954.84408061	328637328821.9021	241892039.75311676
9	-51137879487.79511	-3090.2072336971705	-98825120.65124808

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	10
1	29	10

end0.0ms

sample580.0ms

Algorithm

intervals

Results

176.0ms	6113×	body	80	valid
78.0ms	704×	body	640	valid
53.0ms	364×	body	1280	valid
41.0ms	514×	body	320	valid
17.0ms	305×	body	160	valid

Details

sample23.0ms

simplify60.0ms

prune7.0ms

localize7.0ms

rewrite23.0ms

series142.0ms

simplify44.0ms

prune194.0ms

localize7.0ms

rewrite25.0ms

series144.0ms

simplify52.0ms

prune234.0ms

localize7.0ms

rewrite29.0ms

series50.0ms

simplify76.0ms

prune112.0ms

localize11.0ms

rewrite89.0ms

series313.0ms

simplify75.0ms

prune671.0ms

regimes191.0ms

bsearch82.0ms

simplify2.0ms

end0.0ms

sample580.0ms

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