Details

sample29.0ms

Algorithm

intervals

Results

16.0ms

295×

body

valid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	5
1	29	5
2	45	5
3	56	5
4	74	5
5	86	5
6	120	5
7	136	5
8	146	5
9	150	5
10	160	5
11	446	5
12	2695	5
13	5001	5

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: 9.8b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
9.3b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

9.0ms	(* x (+ (/ x y) 1.0))
12.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series68.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* x (+ (/ x y) 1.0))
41.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	306	352
1	1568	305
2	5001	304

prune99.0ms

Filtered

60 candidates to 42 candidates (70.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	54	6	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	6	61

Merged error: 0b

Counts

61 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

155×	`*-un-lft-identity`
146×	`times-frac`
71×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`distribute-lft-out`
26×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/l*`
6×	`flip3-+` `flip-+` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`

Counts

2 → 150

Calls

2 calls:

13.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
10.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series105.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
65.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify69.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	504	1464
1	2390	1406
2	5002	1404

prune203.0ms

Filtered

156 candidates to 100 candidates (64.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	156	6	162

Merged error: 0b

Counts

162 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.1b	(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 81

Calls

2 calls:

5.0ms	(/ x (+ x 1.0))
14.0ms	(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

series75.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ x (+ x 1.0))
43.0ms	(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	474	534
1	2069	486
2	5001	486

prune126.0ms

Filtered

87 candidates to 63 candidates (72.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	87	6	93

Merged error: 0b

Counts

93 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* 1.0 1.0))
0.1b	(* x (+ (/ x y) 1.0))
0.1b	(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
12.3b	(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 131

Calls

4 calls:

4.0ms	(- (* x x) (* 1.0 1.0))
9.0ms	(* x (+ (/ x y) 1.0))
18.0ms	(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
13.0ms	(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

series215.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (* x x) (* 1.0 1.0))
25.0ms	(* x (+ (/ x y) 1.0))
73.0ms	(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
77.0ms	(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

simplify115.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (100.0ms)

Iter	Nodes	Cost
0	684	1561
1	4246	1288
2	5001	1287

prune208.0ms

Filtered

143 candidates to 93 candidates (65.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	143	6	149

Merged error: 0b

Counts

149 → 6

regimes64.0ms

Accuracy

0% (0.0b 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	11	5
1	11	5

end0.0ms

sample441.0ms

Algorithm

intervals

Results

290.0ms

9101×

body

valid