Details

sample20.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	6
1	52	6
2	117	6
3	240	6
4	478	6
5	947	6
6	1844	6
7	5001	6

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 19.6b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
19.8b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-/l/`
7×	`add-exp-log` `add-cbrt-cube`
5×	`flip3-+` `flip-+`
4×	`add-sqr-sqrt` `frac-times` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`flip3--` `times-frac` `associate-/r*` `flip--`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `associate-r/` `div-exp` `associate-l/` `associate-/r/` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `frac-2neg` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

2 → 47

Calls

2 calls:

8.0ms	(+ (* x x) (* y y))
31.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series91.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (* x x) (* y y))
64.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify45.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	322	380
1	1875	324
2	5001	308

prune122.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.8b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune8.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.8b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (hypot x y) (hypot x y))
0.0b	(hypot x y)
0.0b	(hypot x y)
19.8b	(/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity` `associate-/l/`
6×	`hypot-udef`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `flip3-+` `swap-sqr` `associate-r` `associate-l` `flip--` `flip-+`
2×	`associate-r/` `associate-l/`
1×	`pow2` `frac-2neg` `times-frac` `pow-plus` `sqrt-unprod` `pow-prod-down` `clear-num` `associate-/r` `rem-square-sqrt` `pow-sqr` `-commutative` `pow-prod-up` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

7.0ms	(* (hypot x y) (hypot x y))
0.0ms	(hypot x y)
0.0ms	(hypot x y)
23.0ms	(/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y)))

series247.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (hypot x y) (hypot x y))
45.0ms	(hypot x y)
48.0ms	(hypot x y)
91.0ms	(/ (* (- x y) (+ x y)) (* (hypot x y) (hypot x y)))

simplify52.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	323	491
1	1937	386
2	5002	382

prune172.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(hypot x y)
0.0b	(/ (+ x y) (hypot x y))
0.0b	(/ (- x y) (hypot x y))
0.0b	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
66×	`add-sqr-sqrt`
58×	`times-frac`
40×	`add-cube-cbrt`
20×	`add-exp-log` `add-cbrt-cube`
19×	`associate-l`
16×	`associate-r`
9×	`associate-/l*`
7×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-/r*`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `hypot-udef` `flip3--` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--` `flip-+`

Counts

4 → 146

Calls

4 calls:

0.0ms	(hypot x y)
17.0ms	(/ (+ x y) (hypot x y))
17.0ms	(/ (- x y) (hypot x y))
48.0ms	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))

series313.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(hypot x y)
89.0ms	(/ (+ x y) (hypot x y))
89.0ms	(/ (- x y) (hypot x y))
91.0ms	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	491	1105
1	2109	999
2	5003	997

prune300.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes36.0ms

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	7
1	10	7

end0.0ms

sample484.0ms

Algorithm

intervals

Results

217.0ms	8000×	body	80	valid
94.0ms	8000×	pre	80	true