Details

sample21.0ms

Algorithm

intervals

Results

5.0ms	49×	body	1280	valid
4.0ms	48×	body	640	valid
3.0ms	130×	body	80	valid
1.0ms	20×	body	320	valid
0.0ms	9×	body	160	valid

simplify23.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	6
1	16	6
2	19	6
3	21	6
4	27	6
5	39	6
6	58	6
7	79	6
8	107	6
9	160	6
10	277	6
11	303	6
12	303	6

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: 29.3b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(/ (+ x 1.0) (- x 1.0))
2.3b	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

1097×	`*-un-lft-identity`
736×	`times-frac`
653×	`add-sqr-sqrt`
468×	`prod-diff`
467×	`add-cube-cbrt`
213×	`distribute-lft-out`
140×	`frac-sub`
115×	`associate-/r*`
100×	`distribute-lft-out--`
94×	`associate-/r/`
91×	`difference-of-squares`
89×	`associate-/l*`
47×	`div-inv`
39×	`flip3-+` `flip-+`
26×	`frac-2neg` `clear-num`
22×	`associate-/l/`
20×	`flip3--` `flip--`
18×	`fma-neg`
7×	`add-exp-log` `add-cbrt-cube`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp`
1×	`sub-neg` `diff-log`

Counts

3 → 735

Calls

3 calls:

5.0ms	(/ x (+ x 1.0))
8.0ms	(/ (+ x 1.0) (- x 1.0))
54.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

series227.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ x (+ x 1.0))
45.0ms	(/ (+ x 1.0) (- x 1.0))
146.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

simplify227.0ms

Algorithm

egg-herbie

Counts

744 → 744

Iterations

Useful iterations: 1 (56.0ms)

Iter	Nodes	Cost
0	2318	20312
1	5003	17909

prune846.0ms

Filtered

744 candidates to 281 candidates (37.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	740	4	744
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	741	4	745

Merged error: 0.1b

Counts

745 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (+ x 1.0) x) (+ x 1.0))
0.0b	(/ (- (* 1 (- x 1.0)) (* (/ (+ x 1.0) x) (+ x 1.0))) (* (/ (+ x 1.0) x) (- x 1.0)))
0.0b	(* (/ (+ x 1.0) x) (- x 1.0))
1.9b	(- (* 1 (- x 1.0)) (* (/ (+ x 1.0) x) (+ x 1.0)))

rewrite331.0ms

Algorithm

rewrite-expression-head

Rules

1801×	`add-sqr-sqrt`
1345×	`*-un-lft-identity`
1062×	`times-frac`
810×	`associate-l`
541×	`add-cube-cbrt`
488×	`unswap-sqr`
441×	`prod-diff`
318×	`difference-of-squares`
304×	`associate-r`
228×	`distribute-lft-out--`
168×	`frac-times`
166×	`associate-*r/`
152×	`frac-sub`
145×	`distribute-lft-out`
120×	`associate-/l/`
104×	`flip3--` `flip--`
102×	`associate-/l*`
91×	`associate-/r*`
86×	`flip3-+` `flip-+`
84×	`associate-*l/`
64×	`*-commutative`
38×	`associate-/r/`
37×	`div-inv`
28×	`distribute-rgt-in` `distribute-lft-in`
23×	`add-exp-log` `add-cbrt-cube`
22×	`frac-2neg` `associate--l+` `clear-num`
15×	`fma-neg`
8×	`pow1` `associate--r+`
6×	`cbrt-undiv` `+-commutative` `div-exp` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`sub-neg` `div-sub`
4×	`expm1-log1p-u` `log1p-expm1-u`
2×	`pow-prod-down`
1×	`diff-log`

Counts

4 → 1417

Calls

4 calls:

13.0ms	(* (/ (+ x 1.0) x) (+ x 1.0))
105.0ms	(/ (- (* 1 (- x 1.0)) (* (/ (+ x 1.0) x) (+ x 1.0))) (* (/ (+ x 1.0) x) (- x 1.0)))
18.0ms	(* (/ (+ x 1.0) x) (- x 1.0))
52.0ms	(- (* 1 (- x 1.0)) (* (/ (+ x 1.0) x) (+ x 1.0)))

series283.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (/ (+ x 1.0) x) (+ x 1.0))
102.0ms	(/ (- (* 1 (- x 1.0)) (* (/ (+ x 1.0) x) (+ x 1.0))) (* (/ (+ x 1.0) x) (- x 1.0)))
107.0ms	(* (/ (+ x 1.0) x) (- x 1.0))
37.0ms	(- (* 1 (- x 1.0)) (* (/ (+ x 1.0) x) (+ x 1.0)))

simplify337.0ms

Algorithm

egg-herbie

Counts

1429 → 1429

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5001	32635

prune2.3s

Filtered

1429 candidates to 693 candidates (48.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1427	2	1429
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	1430	3	1433

Merged error: 0b

Counts

1433 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x 1.0) x)
0.0b	(+ 3.0 (* 1.0 (/ 1 x)))
0.0b	(/ (- (+ 3.0 (* 1.0 (/ 1 x)))) (* (/ (+ x 1.0) x) (- x 1.0)))
0.0b	(* (/ (+ x 1.0) x) (- x 1.0))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

668×	`*-un-lft-identity`
612×	`times-frac`
396×	`add-sqr-sqrt`
315×	`associate-l`
284×	`add-cube-cbrt`
176×	`distribute-lft-out`
145×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
80×	`associate-r`
49×	`associate-/r*`
48×	`frac-times`
42×	`associate-/l*`
38×	`associate-/r/`
32×	`unswap-sqr`
29×	`neg-mul-1`
26×	`flip3--` `flip--`
24×	`associate-*l/`
20×	`add-exp-log` `add-cbrt-cube`
18×	`prod-diff` `div-inv`
16×	`*-commutative` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`flip3-+` `flip-+`
8×	`frac-2neg` `clear-num`
6×	`pow1` `cbrt-undiv` `div-exp` `add-log-exp`
4×	`expm1-log1p-u` `associate-*r/` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`fma-def`
2×	`sub-neg` `distribute-neg-frac`
1×	`+-commutative` `neg-sub0` `div-sub` `distribute-frac-neg` `pow-prod-down` `sum-log`

Counts

4 → 645

Calls

4 calls:

10.0ms	(/ (+ x 1.0) x)
10.0ms	(+ 3.0 (* 1.0 (/ 1 x)))
39.0ms	(/ (- (+ 3.0 (* 1.0 (/ 1 x)))) (* (/ (+ x 1.0) x) (- x 1.0)))
14.0ms	(* (/ (+ x 1.0) x) (- x 1.0))

series287.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ (+ x 1.0) x)
30.0ms	(+ 3.0 (* 1.0 (/ 1 x)))
92.0ms	(/ (- (+ 3.0 (* 1.0 (/ 1 x)))) (* (/ (+ x 1.0) x) (- x 1.0)))
112.0ms	(* (/ (+ x 1.0) x) (- x 1.0))

simplify140.0ms

Algorithm

egg-herbie

Counts

657 → 657

Iterations

Useful iterations: 1 (49.0ms)

Iter	Nodes	Cost
0	2050	8961
1	5002	8373

prune833.0ms

Filtered

657 candidates to 348 candidates (53.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	655	2	657
Fresh	2	0	2
Picked	1	0	1
Done	0	0	0
Total	658	2	660

Merged error: 0b

Counts

660 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- x 1.0) x)
0.0b	(+ 3.0 (* 1.0 (/ 1 x)))
0.0b	(* (+ x 1.0) (/ (- x 1.0) x))
0.0b	(/ (- (+ 3.0 (* 1.0 (/ 1 x)))) (* (+ x 1.0) (/ (- x 1.0) x)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

701×	`*-un-lft-identity`
691×	`times-frac`
491×	`add-sqr-sqrt`
304×	`associate-r`
295×	`add-cube-cbrt`
155×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
142×	`distribute-lft-out`
127×	`associate-l`
60×	`distribute-lft-out--`
58×	`difference-of-squares`
53×	`associate-/l*`
52×	`frac-times`
51×	`associate-/r*`
44×	`associate-/r/`
32×	`unswap-sqr`
31×	`neg-mul-1`
30×	`flip3-+` `flip-+`
26×	`associate-*r/`
20×	`add-exp-log` `add-cbrt-cube`
18×	`div-inv`
16×	`*-commutative` `associate-/l/`
10×	`clear-num`
8×	`frac-2neg`
7×	`flip3--` `flip--`
6×	`pow1` `cbrt-undiv` `div-exp` `un-div-inv` `add-log-exp`
4×	`expm1-log1p-u` `associate-*l/` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`fma-def`
2×	`div-sub` `distribute-neg-frac`
1×	`+-commutative` `neg-sub0` `distribute-frac-neg` `pow-prod-down` `sum-log`

Counts

4 → 672

Calls

4 calls:

7.0ms	(/ (- x 1.0) x)
11.0ms	(+ 3.0 (* 1.0 (/ 1 x)))
14.0ms	(* (+ x 1.0) (/ (- x 1.0) x))
42.0ms	(/ (- (+ 3.0 (* 1.0 (/ 1 x)))) (* (+ x 1.0) (/ (- x 1.0) x)))

series284.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ (- x 1.0) x)
31.0ms	(+ 3.0 (* 1.0 (/ 1 x)))
110.0ms	(* (+ x 1.0) (/ (- x 1.0) x))
95.0ms	(/ (- (+ 3.0 (* 1.0 (/ 1 x)))) (* (+ x 1.0) (/ (- x 1.0) x)))

simplify140.0ms

Algorithm

egg-herbie

Counts

684 → 684

Iterations

Useful iterations: 1 (45.0ms)

Iter	Nodes	Cost
0	1987	9504
1	5002	9046

prune988.0ms

Filtered

684 candidates to 398 candidates (58.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	683	1	684
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	684	2	686

Merged error: 0b

Counts

686 → 2

regimes13.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	9
1	31	9
2	33	9
3	33	9

end0.0ms

sample535.0ms

Algorithm

intervals

Results

186.0ms	1656×	body	1280	valid
104.0ms	1191×	body	640	valid
100.0ms	4206×	body	80	valid
40.0ms	617×	body	320	valid
15.0ms	330×	body	160	valid

Iter	Nodes	Cost
0	12	6
1	16	6
2	19	6
3	21	6
4	27	6
5	39	6
6	58	6
7	79	6
8	107	6
9	160	6
10	277	6
11	303	6
12	303	6

Iter	Nodes	Cost
0	12	6
1	16	6
2	19	6
3	21	6
4	27	6
5	39	6
6	58	6
7	79	6
8	107	6
9	160	6
10	277	6
11	303	6
12	303	6

Iter	Nodes	Cost
0	12	6
1	16	6
2	19	6
3	21	6
4	27	6
5	39	6
6	58	6
7	79	6
8	107	6
9	160	6
10	277	6
11	303	6
12	303	6