Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

291×

body

valid

simplify68.0ms

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: 8.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
8.3b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite80.0ms

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:

48.0ms	(* x (+ (/ x y) 1.0))
30.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series63.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* x (+ (/ x y) 1.0))
37.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (42.0ms)

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

prune117.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize7.0ms

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))

rewrite83.0ms

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:

35.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
40.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series101.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
62.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify65.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (50.0ms)

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

prune257.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (/ x y)) (* x 1.0))
0.2b	(* x (/ x y))
8.3b	(/ (+ (* x (/ x y)) (* x 1.0)) (+ x 1.0))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 91

Calls

3 calls:

11.0ms	(+ (* x (/ x y)) (* x 1.0))
13.0ms	(* x (/ x y))
40.0ms	(/ (+ (* x (/ x y)) (* x 1.0)) (+ x 1.0))

series78.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ (* x (/ x y)) (* x 1.0))
19.0ms	(* x (/ x y))
35.0ms	(/ (+ (* x (/ x y)) (* x 1.0)) (+ x 1.0))

simplify59.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	404	663
1	1903	601
2	5001	596

prune180.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (pow x 2) y) (* x 1.0))
7.1b	(/ (pow x 2) y)
8.3b	(/ (+ (/ (pow x 2) y) (* x 1.0)) (+ x 1.0))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
52×	`*-un-lft-identity`
44×	`add-sqr-sqrt` `add-cube-cbrt`
28×	`fma-def`
21×	`unpow-prod-down`
11×	`associate-/l*`
10×	`add-exp-log`
7×	`associate-/r*` `add-cbrt-cube` `unpow2` `sqr-pow`
5×	`add-log-exp`
4×	`div-exp` `distribute-lft-out`
3×	`pow1` `expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u` `div-inv`
2×	`cbrt-undiv` `frac-2neg` `clear-num` `associate-/r/` `associate-/l/`
1×	`+-commutative` `pow-to-exp` `pow-exp` `sum-log`

Counts

3 → 129

Calls

3 calls:

32.0ms	(+ (/ (pow x 2) y) (* x 1.0))
9.0ms	(/ (pow x 2) y)
77.0ms	(/ (+ (/ (pow x 2) y) (* x 1.0)) (+ x 1.0))

series94.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ (/ (pow x 2) y) (* x 1.0))
17.0ms	(/ (pow x 2) y)
48.0ms	(/ (+ (/ (pow x 2) y) (* x 1.0)) (+ x 1.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	387	748
1	1501	672
2	5001	661

prune314.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes31.0ms

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

sample421.0ms

Algorithm

intervals

Results

219.0ms

9133×

body

valid