Details

analyze6.0ms

Algorithm: search

sample28.0ms

Algorithm

intervals

Results

8.0ms	141×	body	80	valid
8.0ms	56×	body	640	valid
3.0ms	19×	body	1280	valid
3.0ms	31×	body	320	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: 10.2b

Counts

2 → 1

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))
3.1b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite59.0ms

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))
7.0ms	(/ 1.0 (+ x 1.0))
15.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
28.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series18.0ms

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))
10.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify46.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (35.0ms)

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

prune180.0ms

Filtered

92 candidates to 126 candidates (-37.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	123	3	126
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	123	4	127

Merged error: 0.3b

Counts

127 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 x) (* (+ x 1.0) 2.0))
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	(* (* (+ x 1.0) x) (- x 1.0))
15.1b	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

rewrite48.0ms

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:

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

series21.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
6.0ms	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
10.0ms	(* (* (+ 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))

simplify45.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	997	2264
1	5001	2129

prune358.0ms

Filtered

108 candidates to 136 candidates (-25.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	0	2	2
Picked	1	0	1
Done	1	0	1
Total	137	3	140

Merged error: 0.3b

Counts

140 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* (+ x 1.0) x) (- x 1.0))
0.3b	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

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

series14.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(* (* (+ x 1.0) x) (- x 1.0))
6.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

simplify57.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	398	514
1	1892	442
2	5002	441

prune80.0ms

Filtered

47 candidates to 69 candidates (-46.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	66	3	69
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	68	4	72

Merged error: 0b

Counts

72 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (/ 2.0 (* (+ x 1.0) x)) (- x 1.0))
0.5b	(/ 2.0 (* (+ x 1.0) x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

66×	`times-frac`
46×	`add-sqr-sqrt` `*-un-lft-identity`
26×	`add-cube-cbrt`
16×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
14×	`associate-*l/`
12×	`associate-/l*`
10×	`distribute-lft-out--` `difference-of-squares`
8×	`div-inv`
7×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
6×	`associate-/r*`
2×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `add-log-exp`
1×	`flip3--` `flip--` `associate-/l/`

Counts

2 → 101

Calls

2 calls:

11.0ms	(/ (/ 2.0 (* (+ x 1.0) x)) (- x 1.0))
6.0ms	(/ 2.0 (* (+ x 1.0) x))

series11.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ (/ 2.0 (* (+ x 1.0) x)) (- x 1.0))
5.0ms	(/ 2.0 (* (+ x 1.0) x))

simplify63.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	535	926
1	2362	854
2	5002	854

prune131.0ms

Filtered

81 candidates to 107 candidates (-32.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	107	4	111

Merged error: 0b

Counts

111 → 4

regimes30.0ms

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

analyze6.0ms

Algorithm: search

sample734.0ms

Algorithm

intervals

Results

262.0ms	1893×	body	640	valid
153.0ms	4144×	body	80	valid
99.0ms	560×	body	1280	valid
96.0ms	918×	body	320	valid
33.0ms	485×	body	160	valid
0.0ms	1×	body	80	invalid

Details

analyze6.0ms

sample28.0ms

simplify15.0ms

prune2.0ms

localize9.0ms

rewrite59.0ms

series18.0ms

simplify46.0ms

prune180.0ms

localize13.0ms

rewrite48.0ms

series21.0ms

simplify45.0ms

prune358.0ms

localize7.0ms

rewrite21.0ms

series14.0ms

simplify57.0ms

prune80.0ms

localize7.0ms

rewrite21.0ms

series11.0ms

simplify63.0ms

prune131.0ms

regimes30.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze6.0ms

sample734.0ms

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