Details

sample11.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

prune1.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
16×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-lft-out`
4×	`associate-/r` `associate-/l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 40

Calls

1 calls:

11.0ms

(/ (+ x y) (+ y 1.0))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(/ (+ x y) (+ y 1.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (43.0ms)

Iter	Nodes	Cost
0	191	254
1	588	238
2	1797	238
3	5001	236

prune69.0ms

Filtered

43 candidates to 28 candidates (65.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
26×	`times-frac`
20×	`add-cube-cbrt`
18×	`associate-r`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`distribute-lft-out`
5×	`pow1`
4×	`flip3-+` `div-exp` `associate-l` `prod-exp` `associate-/r*` `associate-/r/` `flip-+`
3×	`associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv` `add-log-exp`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

2 → 83

Calls

2 calls:

6.0ms	(/ 1 (+ y 1.0))
22.0ms	(* (+ x y) (/ 1 (+ y 1.0)))

series61.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ 1 (+ y 1.0))
38.0ms	(* (+ x y) (/ 1 (+ y 1.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	351	464
1	1645	402
2	5001	368

prune115.0ms

Filtered

89 candidates to 49 candidates (55.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (+ x y) (* (/ 1 (- (* y y) (* 1.0 1.0))) (- y 1.0)))
0.5b	(/ 1 (- (* y y) (* 1.0 1.0)))
13.3b	(* (/ 1 (- (* y y) (* 1.0 1.0))) (- y 1.0))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 135

Calls

3 calls:

34.0ms	(* (+ x y) (* (/ 1 (- (* y y) (* 1.0 1.0))) (- y 1.0)))
6.0ms	(/ 1 (- (* y y) (* 1.0 1.0)))
24.0ms	(* (/ 1 (- (* y y) (* 1.0 1.0))) (- y 1.0))

series171.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(* (+ x y) (* (/ 1 (- (* y y) (* 1.0 1.0))) (- y 1.0)))
55.0ms	(/ 1 (- (* y y) (* 1.0 1.0)))
47.0ms	(* (/ 1 (- (* y y) (* 1.0 1.0))) (- y 1.0))

simplify219.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (199.0ms)

Iter	Nodes	Cost
0	694	1296
1	4600	1093
2	5002	1067

prune457.0ms

Filtered

144 candidates to 96 candidates (66.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) y)
0.0b	(+ (/ (* (+ x y) y) (- (* y y) (* 1.0 1.0))) (/ (* (+ x y) (- 1.0)) (- (* y y) (* 1.0 1.0))))
13.9b	(/ (* (+ x y) (- 1.0)) (- (* y y) (* 1.0 1.0)))
16.8b	(/ (* (+ x y) y) (- (* y y) (* 1.0 1.0)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `*-un-lft-identity` `times-frac` `add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt`
8×	`associate-/r*` `associate-/r/`
6×	`pow1` `associate-*l/` `distribute-lft-out` `add-log-exp` `difference-of-squares`
4×	`cbrt-undiv` `flip3--` `flip3-+` `div-exp` `associate-l` `flip--` `flip-+` `div-inv` `associate-/l/`
3×	`distribute-rgt-out` `distribute-frac-neg` `associate-r` `prod-exp` `distribute-rgt-neg-out` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l*`
1×	`+-commutative` `unsub-neg` `pow-prod-down` `frac-add` `sum-log` `*-commutative` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

13.0ms	(* (+ x y) y)
32.0ms	(+ (/ (* (+ x y) y) (- (* y y) (* 1.0 1.0))) (/ (* (+ x y) (- 1.0)) (- (* y y) (* 1.0 1.0))))
9.0ms	(/ (* (+ x y) (- 1.0)) (- (* y y) (* 1.0 1.0)))
9.0ms	(/ (* (+ x y) y) (- (* y y) (* 1.0 1.0)))

series334.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (+ x y) y)
131.0ms	(+ (/ (* (+ x y) y) (- (* y y) (* 1.0 1.0))) (/ (* (+ x y) (- 1.0)) (- (* y y) (* 1.0 1.0))))
89.0ms	(/ (* (+ x y) (- 1.0)) (- (* y y) (* 1.0 1.0)))
87.0ms	(/ (* (+ x y) y) (- (* y y) (* 1.0 1.0)))

simplify77.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	546	1011
1	2817	896
2	5002	893

prune247.0ms

Filtered

110 candidates to 85 candidates (77.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample262.0ms

Algorithm

intervals

Results

146.0ms	7999×	body	80	valid
0.0ms	1×	body	160	valid