Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

452×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	16	4
1	33	3
2	41	3
3	41	3

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x 2.0) (* x x)) (* y y))
0.0b	(+ (* x 2.0) (* x x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
5×	`fma-def`
4×	`sum-log`
3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`
1×	`associate-+l+`

Counts

2 → 34

Calls

2 calls:

13.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
3.0ms	(+ (* x 2.0) (* x x))

series88.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
57.0ms	(+ (* x 2.0) (* x x))

simplify105.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 3 (101.0ms)

Iter	Nodes	Cost
0	196	206
1	967	178
2	4173	167
3	5001	166

prune85.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ 2.0 x))
0.0b	(+ (* x (+ 2.0 x)) (* y y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `expm1-log1p-u` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

9.0ms	(* x (+ 2.0 x))
5.0ms	(+ (* x (+ 2.0 x)) (* y y))

series76.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* x (+ 2.0 x))
34.0ms	(+ (* x (+ 2.0 x)) (* y y))

simplify38.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	216	193
1	1104	179
2	5001	175

prune85.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* x 2.0) (* x x)) (* y y))
0.0b	(+ (* x 2.0) (* x x))
0.0b	(+ (* x 2.0) (* x x))
0.1b	(* (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
19×	`pow1`
18×	`sqrt-prod`
13×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
12×	`sqrt-div`
9×	`flip3-+` `flip-+`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
6×	`add-exp-log` `fma-def` `associate-r` `associate-l` `add-cbrt-cube`
5×	`sum-log` `pow-prod-up`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `unswap-sqr`
3×	`+-commutative` `pow-prod-down` `pow-sqr` `distribute-lft-out`
2×	`associate-r/` `associate-l/`
1×	`pow2` `associate-+l+` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 108

Calls

4 calls:

12.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
2.0ms	(+ (* x 2.0) (* x x))
2.0ms	(+ (* x 2.0) (* x x))
62.0ms	(* (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))))

series171.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
54.0ms	(+ (* x 2.0) (* x x))
56.0ms	(+ (* x 2.0) (* x x))
32.0ms	(* (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))))

simplify50.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	291	928
1	1428	801
2	5001	776

prune244.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* 2.0 x))
0.0b	(+ (/ (fma (pow 2.0 3) x (pow x 4)) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x)))) (* y y))
0.0b	(fma (pow 2.0 3) x (pow x 4))
12.0b	(/ (fma (pow 2.0 3) x (pow x 4)) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
15×	`fma-def`
8×	`add-log-exp`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u`
3×	`flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`div-inv`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `fma-neg` `diff-log` `div-exp` `prod-diff` `clear-num` `sum-log` `flip--` `fma-udef`

Counts

4 → 86

Calls

4 calls:

3.0ms	(- (* x x) (* 2.0 x))
60.0ms	(+ (/ (fma (pow 2.0 3) x (pow x 4)) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x)))) (* y y))
0.0ms	(fma (pow 2.0 3) x (pow x 4))
14.0ms	(/ (fma (pow 2.0 3) x (pow x 4)) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))

series469.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (* x x) (* 2.0 x))
95.0ms	(+ (/ (fma (pow 2.0 3) x (pow x 4)) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x)))) (* y y))
121.0ms	(fma (pow 2.0 3) x (pow x 4))
191.0ms	(/ (fma (pow 2.0 3) x (pow x 4)) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))

simplify46.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	346	839
1	1291	771
2	5001	760

prune347.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes77.0ms

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	10	4
1	10	4

end0.0ms

sample558.0ms

Algorithm

intervals

Results

333.0ms

14328×

body

valid