Details

sample25.0ms

Algorithm

intervals

Results

16.0ms

289×

body

valid

simplify84.0ms

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: 7.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (/ x y) 1.0))
7.1b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite52.0ms

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:

35.0ms	(* x (+ (/ x y) 1.0))
16.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series79.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* x (+ (/ x y) 1.0))
47.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (50.0ms)

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

prune122.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

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:

25.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
21.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series115.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
70.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify76.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (59.0ms)

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

prune291.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite51.0ms

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:

6.0ms	(/ x (+ x 1.0))
43.0ms	(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

series83.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ x (+ x 1.0))
48.0ms	(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

simplify61.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 1 (16.0ms)

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

prune180.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (/ x y) 3)
0.2b	(* (/ x y) (/ x y))
2.4b	(/ (+ x 1.0) (+ (pow (/ x y) 3) (pow 1.0 3)))
12.1b	(* (/ (+ x 1.0) (+ (pow (/ x y) 3) (pow 1.0 3))) (+ (* (/ x y) (/ x y)) (- (* 1.0 1.0) (* (/ x y) 1.0))))

rewrite294.0ms

Algorithm

rewrite-expression-head

Rules

205×	`*-un-lft-identity`
131×	`times-frac`
94×	`add-sqr-sqrt`
77×	`add-cube-cbrt`
64×	`distribute-lft-out`
55×	`associate-l`
49×	`unpow-prod-down` `cube-prod`
26×	`add-exp-log` `add-cbrt-cube`
16×	`associate-r`
14×	`pow1`
13×	`frac-times` `associate-*r/` `swap-sqr`
12×	`frac-add`
9×	`associate-/r*` `sum-cubes`
8×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`pow-unpow`
2×	`pow-prod-down` `pow-exp` `*-commutative` `associate-/l/` `rem-cube-cbrt`
1×	`cube-div` `pow2` `distribute-rgt-in` `cube-mult` `pow-to-exp` `pow-pow` `frac-2neg` `distribute-lft-in` `pow-plus` `unpow3` `clear-num` `pow-sqr` `pow-prod-up` `sqr-pow`

Counts

4 → 265

Calls

4 calls:

4.0ms	(pow (/ x y) 3)
14.0ms	(* (/ x y) (/ x y))
71.0ms	(/ (+ x 1.0) (+ (pow (/ x y) 3) (pow 1.0 3)))
189.0ms	(* (/ (+ x 1.0) (+ (pow (/ x y) 3) (pow 1.0 3))) (+ (* (/ x y) (/ x y)) (- (* 1.0 1.0) (* (/ x y) 1.0))))

series238.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(pow (/ x y) 3)
27.0ms	(* (/ x y) (/ x y))
72.0ms	(/ (+ x 1.0) (+ (pow (/ x y) 3) (pow 1.0 3)))
110.0ms	(* (/ (+ x 1.0) (+ (pow (/ x y) 3) (pow 1.0 3))) (+ (* (/ x y) (/ x y)) (- (* 1.0 1.0) (* (/ x y) 1.0))))

simplify72.0ms

Algorithm

egg-herbie

Counts

277 → 277

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	1318	2775
1	5001	2537

prune676.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes35.0ms

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

sample661.0ms

Algorithm

intervals

Results

506.0ms

9119×

body

valid