Details

analyze6.0ms

Algorithm: search

sample25.0ms

Algorithm

intervals

Results

8.0ms	61×	body	640	valid
5.0ms	130×	body	80	valid
4.0ms	43×	body	320	valid
2.0ms	13×	body	1280	valid
1.0ms	9×	body	160	valid

simplify15.0ms

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

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: 10.3b

Counts

2 → 1

localize12.0ms

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))
2.6b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite75.0ms

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:

4.0ms	(/ 1.0 (+ x 1.0))
5.0ms	(/ 1.0 (- x 1.0))
21.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
40.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series19.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/ 1.0 (+ x 1.0))
2.0ms	(/ 1.0 (- x 1.0))
3.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
12.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify48.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (36.0ms)

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

prune184.0ms

Filtered

92 candidates to 126 candidates (-37.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	124	3	127

Merged error: 0.2b

Counts

127 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
0.0b	(- (* 1.0 x) (* (+ x 1.0) 2.0))
0.0b	(* (* (+ x 1.0) x) (- x 1.0))
18.0b	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 124

Calls

4 calls:

21.0ms	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
3.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
9.0ms	(* (* (+ x 1.0) x) (- x 1.0))
10.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

series20.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
3.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
7.0ms	(* (* (+ x 1.0) x) (- x 1.0))
1.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	997	2264
1	5001	2129

prune361.0ms

Filtered

108 candidates to 136 candidates (-25.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	134	2	136
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	135	4	139

Merged error: 0.1b

Counts

139 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (- (pow x 3) (* 1.0 x)))
0.0b	(- (* 1.0 x) (* (+ x 1.0) 2.0))
18.0b	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

74×	`associate-*l/`
32×	`frac-add`
26×	`flip3--` `flip--`
19×	`flip3-+` `flip-+`
18×	`associate-/l/`
17×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`frac-times`
15×	`add-cube-cbrt`
12×	`times-frac`
8×	`add-exp-log` `associate-*r/` `add-cbrt-cube` `add-log-exp`
6×	`pow1`
4×	`associate-+l+` `distribute-rgt-out--` `unpow3` `associate-l` `associate-/r*`
3×	`sub-neg` `associate-r` `associate-/l*`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-/r/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 115

Calls

4 calls:

5.0ms	(* (+ x 1.0) x)
17.0ms	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (- (pow x 3) (* 1.0 x)))
3.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
10.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

series14.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (+ x 1.0) x)
5.0ms	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (- (pow x 3) (* 1.0 x)))
3.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
1.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

simplify128.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	867	2153
1	4756	2046
2	5002	2046

prune373.0ms

Filtered

102 candidates to 127 candidates (-24.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	1	1	2
Picked	1	0	1
Done	1	0	1
Total	129	2	131

Merged error: 0.1b

Counts

131 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ 2.0 (- (pow x 3) (* 1.0 x)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

12×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`distribute-rgt-out--` `unpow3` `associate-/r*`
3×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

7.0ms

(/ 2.0 (- (pow x 3) (* 1.0 x)))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(/ 2.0 (- (pow x 3) (* 1.0 x)))

simplify77.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	199	277
1	707	256
2	2716	254
3	5001	254

prune63.0ms

Filtered

30 candidates to 36 candidates (-20.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	35	3	38

Merged error: 0.0b

Counts

38 → 3

regimes26.0ms

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	12	5
1	12	5

end0.0ms

analyze6.0ms

Algorithm: search

sample746.0ms

Algorithm

intervals

Results

262.0ms	1865×	body	640	valid
158.0ms	4156×	body	80	valid
98.0ms	945×	body	320	valid
97.0ms	549×	body	1280	valid
35.0ms	485×	body	160	valid
0.0ms	1×	body	80	invalid

Details

analyze6.0ms

sample25.0ms

simplify15.0ms

prune2.0ms

localize12.0ms

rewrite75.0ms

series19.0ms

simplify48.0ms

prune184.0ms

localize13.0ms

rewrite50.0ms

series20.0ms

simplify46.0ms

prune361.0ms

localize14.0ms

rewrite44.0ms

series14.0ms

simplify128.0ms

prune373.0ms

localize6.0ms

rewrite8.0ms

series5.0ms

simplify77.0ms

prune63.0ms

regimes26.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze6.0ms

sample746.0ms

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