Details

sample18.0ms

Algorithm

intervals

Results

4.0ms	51×	body	640	valid
4.0ms	146×	body	80	valid
2.0ms	38×	body	320	valid
1.0ms	21×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	4
1	12	4
2	12	4

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: 14.5b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

362×	`*-un-lft-identity`
358×	`times-frac`
265×	`add-sqr-sqrt`
253×	`add-cube-cbrt`
234×	`prod-diff`
49×	`distribute-lft-out`
35×	`div-inv`
30×	`associate-/r/`
18×	`fma-neg`
15×	`flip3-+` `flip-+`
8×	`distribute-lft-out--`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `frac-sub` `flip--`

Counts

2 → 314

Calls

2 calls:

5.0ms	(/ 1.0 (+ x 1.0))
28.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series86.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ 1.0 (+ x 1.0))
61.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify115.0ms

Algorithm

egg-herbie

Counts

320 → 320

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	873	6795
1	2645	4746
2	5001	3686

prune207.0ms

Filtered

320 candidates to 82 candidates (25.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	317	3	320
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	318	3	321

Merged error: 0.2b

Counts

321 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
2.4b	(- x (+ x 1.0))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
17×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
13×	`add-cube-cbrt`
12×	`prod-diff`
8×	`add-log-exp`
5×	`pow1` `prod-exp` `cbrt-unprod` `distribute-lft-out`
4×	`cbrt-undiv` `div-exp` `associate-l` `associate-*l/`
3×	`expm1-log1p-u` `fma-neg` `associate-r` `log1p-expm1-u`
2×	`flip3--` `flip3-+` `diff-log` `associate-*r/` `associate-/r/` `flip--` `flip-+` `associate-/l/` `distribute-lft-out--`
1×	`sub-neg` `frac-2neg` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `-commutative` `div-inv` `associate-/l*` `associate--r+` `difference-of-squares` `unswap-sqr`

Counts

3 → 84

Calls

3 calls:

6.0ms	(* (+ x 1.0) x)
14.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
7.0ms	(- x (+ x 1.0))

series90.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(* (+ x 1.0) x)
35.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
7.0ms	(- x (+ x 1.0))

simplify69.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	402	611
1	2289	439
2	5001	426

prune118.0ms

Filtered

93 candidates to 59 candidates (63.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	2	0	2
Picked	1	0	1
Done	0	0	0
Total	93	3	96

Merged error: 0.0b

Counts

96 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.1b	(* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
46×	`add-sqr-sqrt`
43×	`times-frac`
28×	`add-cube-cbrt`
19×	`associate-r`
18×	`associate-l`
16×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `prod-exp` `associate-/r*` `associate-/r/` `cbrt-unprod` `unswap-sqr`
3×	`div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
2×	`expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u` `add-log-exp`
1×	`frac-times` `frac-2neg` `sub0-neg` `associate-r/` `distribute-frac-neg` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `distribute-rgt-neg-out`

Counts

2 → 99

Calls

2 calls:

6.0ms	(/ 1.0 (+ x 1.0))
17.0ms	(* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))

series66.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ 1.0 (+ x 1.0))
36.0ms	(* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))

simplify62.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	503	681
1	2483	611
2	5001	609

prune160.0ms

Filtered

105 candidates to 76 candidates (72.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	103	5	108

Merged error: 0.0b

Counts

108 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.2b	(/ (* 1.0 1.0) (- (* (+ x 1.0) x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-cube-cbrt` `times-frac` `associate-/r*`
4×	`pow1` `associate-l` `associate-*l/`
3×	`associate-r`
2×	`cbrt-undiv` `distribute-lft-neg-in` `expm1-log1p-u` `neg-mul-1` `distribute-rgt-neg-in` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `log1p-expm1-u` `distribute-neg-frac` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

2 → 54

Calls

2 calls:

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

series84.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* (+ x 1.0) x)
42.0ms	(/ (* 1.0 1.0) (- (* (+ x 1.0) x)))

simplify46.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	291	326
1	1577	286
2	5001	285

prune84.0ms

Filtered

60 candidates to 45 candidates (75.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	60	5	65

Merged error: 0.0b

Counts

65 → 5

regimes15.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	13	5
2	17	5
3	20	5
4	21	5
5	21	5

end0.0ms

sample484.0ms

Algorithm

intervals

Results

178.0ms	1950×	body	640	valid
100.0ms	4214×	body	80	valid
84.0ms	1218×	body	320	valid
31.0ms	620×	body	160	valid