Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

291×

body

valid

simplify73.0ms

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: 9.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
8.5b	(/ (* 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:

33.0ms	(* x (+ (/ x y) 1.0))
17.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series67.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* x (+ (/ x y) 1.0))
42.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (43.0ms)

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

prune110.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

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))

rewrite55.0ms

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:

23.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
21.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series108.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
63.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify70.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (53.0ms)

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

prune272.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
0.1b	(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
11.5b	(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 114

Calls

3 calls:

32.0ms	(* x (+ (/ x y) 1.0))
56.0ms	(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
18.0ms	(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

series173.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(* x (+ (/ x y) 1.0))
74.0ms	(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
74.0ms	(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

simplify114.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	669	1467
1	4180	1206
2	5001	1206

prune213.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (/ x y) 3)
0.3b	(* (/ x y) (/ x y))
1.0b	(* x (+ (pow (/ x y) 3) (pow 1.0 3)))
18.0b	(/ (* x (+ (pow (/ x y) 3) (pow 1.0 3))) (* (fma 1.0 (- 1.0 (/ x y)) (* (/ x y) (/ x y))) (+ 1.0 x)))

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 174

Calls

4 calls:

4.0ms	(pow (/ x y) 3)
15.0ms	(* (/ x y) (/ x y))
136.0ms	(* x (+ (pow (/ x y) 3) (pow 1.0 3)))
53.0ms	(/ (* x (+ (pow (/ x y) 3) (pow 1.0 3))) (* (fma 1.0 (- 1.0 (/ x y)) (* (/ x y) (/ x y))) (+ 1.0 x)))

series234.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(pow (/ x y) 3)
25.0ms	(* (/ x y) (/ x y))
86.0ms	(* x (+ (pow (/ x y) 3) (pow 1.0 3)))
94.0ms	(/ (* x (+ (pow (/ x y) 3) (pow 1.0 3))) (* (fma 1.0 (- 1.0 (/ x y)) (* (/ x y) (/ x y))) (+ 1.0 x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	914	1353
1	5002	1093

prune438.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes57.0ms

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

sample384.0ms

Algorithm

intervals

Results

240.0ms

9145×

body

valid