Details

sample28.0ms

Algorithm

intervals

Results

12.0ms

293×

body

valid

simplify86.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(* x (+ (/ x y) 1.0))
9.2b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
13×	`fma-def` `times-frac`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
4×	`flip3-+` `associate-r/` `associate-r` `associate-/r` `flip-+` `distribute-lft-out`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `sum-log` `-commutative` `associate-/l` `unswap-sqr`

Counts

3 → 81

Calls

3 calls:

16.0ms	(+ (/ x y) 1.0)
47.0ms	(* x (+ (/ x y) 1.0))
29.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series76.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(+ (/ x y) 1.0)
23.0ms	(* x (+ (/ x y) 1.0))
42.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	313	417
1	1574	364
2	5002	363

prune211.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

165×	`*-un-lft-identity`
155×	`times-frac`
79×	`add-sqr-sqrt` `add-cube-cbrt`
43×	`distribute-lft-out`
26×	`associate-/r*`
13×	`fma-def`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
7×	`flip3-+` `flip-+` `div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

3 → 177

Calls

3 calls:

15.0ms	(+ (/ x y) 1.0)
35.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
34.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series139.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(+ (/ x y) 1.0)
56.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
61.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify70.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	511	1529
1	2397	1465
2	5002	1463

prune312.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
42×	`times-frac`
35×	`add-sqr-sqrt`
30×	`add-cube-cbrt`
22×	`associate-r`
19×	`distribute-lft-out`
13×	`fma-def`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
4×	`flip3-+` `associate-/r` `associate-/r/` `flip-+` `associate-/l`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `div-inv`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative`

Counts

3 → 112

Calls

3 calls:

17.0ms	(+ (/ x y) 1.0)
47.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
64.0ms	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

series82.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ (/ x y) 1.0)
27.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
39.0ms	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	357	703
1	1629	643
2	5001	639

prune232.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(* x (+ (/ x y) 1.0))
0.2b	(/ 1 (/ (+ x 1.0) (* x (+ (/ x y) 1.0))))
9.2b	(/ (+ x 1.0) (* x (+ (/ x y) 1.0)))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

59×	`times-frac`
50×	`*-un-lft-identity`
36×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
32×	`add-exp-log`
20×	`add-cbrt-cube`
14×	`div-exp`
13×	`fma-def`
12×	`associate-*r/`
11×	`associate-/r*` `associate-/r/`
8×	`flip3-+` `flip-+` `distribute-lft-out`
7×	`pow1` `cbrt-undiv` `div-inv` `associate-/l*`
6×	`add-log-exp`
5×	`prod-exp`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
3×	`rec-exp` `1-exp` `associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `pow-flip` `distribute-lft-in` `pow-prod-down` `sum-log` `*-commutative` `inv-pow` `unswap-sqr`

Counts

4 → 151

Calls

4 calls:

15.0ms	(+ (/ x y) 1.0)
45.0ms	(* x (+ (/ x y) 1.0))
38.0ms	(/ 1 (/ (+ x 1.0) (* x (+ (/ x y) 1.0))))
32.0ms	(/ (+ x 1.0) (* x (+ (/ x y) 1.0)))

series144.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+ (/ x y) 1.0)
21.0ms	(* x (+ (/ x y) 1.0))
42.0ms	(/ 1 (/ (+ x 1.0) (* x (+ (/ x y) 1.0))))
69.0ms	(/ (+ x 1.0) (* x (+ (/ x y) 1.0)))

simplify91.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	500	1104
1	2698	964
2	5003	909

prune237.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes39.0ms

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

sample396.0ms

Algorithm

intervals

Results

213.0ms

9128×

body

valid