Details

sample28.0ms

Algorithm

intervals

Results

7.0ms	56×	body	640	valid
5.0ms	28×	body	1280	valid
4.0ms	126×	body	80	valid
3.0ms	35×	body	320	valid
1.0ms	11×	body	160	valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	31	7
2	43	7
3	57	7
4	73	7
5	92	7
6	126	7
7	158	7
8	207	7
9	209	7
10	209	7

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: 11.0b

Counts

2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ 1.0 (+ x 1.0))
0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
1.6b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

83×	`*-un-lft-identity`
47×	`times-frac`
43×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
14×	`distribute-lft-out--`
13×	`distribute-lft-out`
11×	`add-log-exp`
9×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
6×	`associate-/l*`
4×	`pow1` `associate-/r/`
3×	`flip3--` `frac-add` `flip--`
2×	`cbrt-undiv` `sub-neg` `associate-+l+` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `sum-log` `frac-sub` `flip-+` `div-inv`
1×	`+-commutative` `associate-+l-`

Counts

4 → 114

Calls

4 calls:

5.0ms	(/ 1.0 (- x 1.0))
5.0ms	(/ 1.0 (+ x 1.0))
15.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
31.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series307.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ 1.0 (- x 1.0))
28.0ms	(/ 1.0 (+ x 1.0))
40.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
212.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify47.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	496	865
1	1681	827
2	5001	816

prune211.0ms

Filtered

126 candidates to 92 candidates (73.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	122	4	126
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	123	4	127

Merged error: 0.1b

Counts

127 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ 1.0 (+ x 1.0))
0.0b	(- (/ 1.0 (- x 1.0)) (/ 2.0 x))
1.7b	(+ (/ 1.0 (+ x 1.0)) (- (/ 1.0 (- x 1.0)) (/ 2.0 x)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

83×	`*-un-lft-identity`
47×	`times-frac`
43×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
15×	`distribute-lft-out--`
12×	`distribute-lft-out`
11×	`add-log-exp`
9×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
6×	`associate-/l*`
4×	`pow1` `associate-/r/`
3×	`flip3--` `frac-add` `flip--`
2×	`cbrt-undiv` `sub-neg` `associate-+r+` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `sum-log` `frac-sub` `flip-+` `div-inv`
1×	`+-commutative` `associate-+r-`

Counts

4 → 114

Calls

4 calls:

5.0ms	(/ 1.0 (- x 1.0))
5.0ms	(/ 1.0 (+ x 1.0))
21.0ms	(- (/ 1.0 (- x 1.0)) (/ 2.0 x))
29.0ms	(+ (/ 1.0 (+ x 1.0)) (- (/ 1.0 (- x 1.0)) (/ 2.0 x)))

series324.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ 1.0 (- x 1.0))
24.0ms	(/ 1.0 (+ x 1.0))
42.0ms	(- (/ 1.0 (- x 1.0)) (/ 2.0 x))
226.0ms	(+ (/ 1.0 (+ x 1.0)) (- (/ 1.0 (- x 1.0)) (/ 2.0 x)))

simplify51.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	520	865
1	1811	829
2	5002	817

prune185.0ms

Filtered

126 candidates to 91 candidates (72.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	126	4	130

Merged error: 0.1b

Counts

130 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (* 1.0 (* (- x 1.0) x)) (* (+ x 1.0) (- (* 1.0 x) (* (- x 1.0) 2.0)))) (* (+ x 1.0) (* (- x 1.0) x)))
0.0b	(- (* 1.0 x) (* (- x 1.0) 2.0))
0.0b	(* (+ x 1.0) (* (- x 1.0) x))
17.5b	(+ (* 1.0 (* (- x 1.0) x)) (* (+ x 1.0) (- (* 1.0 x) (* (- x 1.0) 2.0))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

56×	`associate-*l/`
44×	`associate-*r/`
35×	`flip3--` `flip--`
32×	`frac-add`
24×	`frac-times`
20×	`flip3-+` `flip-+`
18×	`add-exp-log` `add-cbrt-cube` `associate-/l/`
9×	`pow1` `*-un-lft-identity`
8×	`associate-/r/` `add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`prod-exp` `cbrt-unprod`
4×	`associate-+r+` `associate-l`
3×	`cbrt-undiv` `sub-neg` `times-frac` `div-exp` `pow-prod-down` `associate-/l*`
2×	`distribute-rgt-in` `distribute-lft-in`
1×	`+-commutative` `frac-2neg` `diff-log` `associate-r` `clear-num` `associate-/r` `sum-log` `-commutative` `div-inv` `distribute-lft-out`

Counts

4 → 119

Calls

4 calls:

20.0ms	(/ (+ (* 1.0 (* (- x 1.0) x)) (* (+ x 1.0) (- (* 1.0 x) (* (- x 1.0) 2.0)))) (* (+ x 1.0) (* (- x 1.0) x)))
3.0ms	(- (* 1.0 x) (* (- x 1.0) 2.0))
9.0ms	(* (+ x 1.0) (* (- x 1.0) x))
10.0ms	(+ (* 1.0 (* (- x 1.0) x)) (* (+ x 1.0) (- (* 1.0 x) (* (- x 1.0) 2.0))))

series215.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(/ (+ (* 1.0 (* (- x 1.0) x)) (* (+ x 1.0) (- (* 1.0 x) (* (- x 1.0) 2.0)))) (* (+ x 1.0) (* (- x 1.0) x)))
33.0ms	(- (* 1.0 x) (* (- x 1.0) 2.0))
93.0ms	(* (+ x 1.0) (* (- x 1.0) x))
1.0ms	(+ (* 1.0 (* (- x 1.0) x)) (* (+ x 1.0) (- (* 1.0 x) (* (- x 1.0) 2.0))))

simplify225.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	936	2210
1	5002	2071

prune354.0ms

Filtered

131 candidates to 105 candidates (80.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	129	2	131
Fresh	0	2	2
Picked	0	1	1
Done	1	0	1
Total	130	5	135

Merged error: 0.0b

Counts

135 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- x 1.0) x)
0.0b	(* (+ x 1.0) (* (- x 1.0) x))
0.1b	(/ 2.0 (* (+ x 1.0) (* (- x 1.0) x)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

6.0ms	(* (- x 1.0) x)
9.0ms	(* (+ x 1.0) (* (- x 1.0) x))
13.0ms	(/ 2.0 (* (+ x 1.0) (* (- x 1.0) x)))

series214.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* (- x 1.0) x)
90.0ms	(* (+ x 1.0) (* (- x 1.0) x))
84.0ms	(/ 2.0 (* (+ x 1.0) (* (- x 1.0) x)))

simplify55.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	404	571
1	1942	487
2	5001	486

prune117.0ms

Filtered

89 candidates to 61 candidates (68.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	85	4	89
Fresh	3	0	3
Picked	0	1	1
Done	0	1	1
Total	88	6	94

Merged error: 0.0b

Counts

94 → 6

regimes18.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample727.0ms

Algorithm

intervals

Results

251.0ms	1845×	body	640	valid
149.0ms	4169×	body	80	valid
106.0ms	610×	body	1280	valid
91.0ms	926×	body	320	valid
33.0ms	452×	body	160	valid

Details

sample28.0ms

simplify17.0ms

prune2.0ms

localize8.0ms

rewrite60.0ms

series307.0ms

simplify47.0ms

prune211.0ms

localize9.0ms

rewrite63.0ms

series324.0ms

simplify51.0ms

prune185.0ms

localize13.0ms

rewrite53.0ms

series215.0ms

simplify225.0ms

prune354.0ms

localize6.0ms

rewrite30.0ms

series214.0ms

simplify55.0ms

prune117.0ms

regimes18.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample727.0ms

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