Details

sample20.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
4.0ms	256×	pre	80	true

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	7
1	48	7
2	104	7
3	196	7
4	359	7
5	686	7
6	1355	7
7	5001	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.1b

localize8.0ms

Local error

Found 1 expressions with local error:

17.9b

(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-/l/`
6×	`add-exp-log` `add-cbrt-cube`
4×	`frac-times` `flip3-+` `flip-+`
3×	`add-sqr-sqrt` `add-cube-cbrt` `flip3--` `-un-lft-identity` `times-frac` `associate-/r` `flip--`
2×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `associate-/r/`
1×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

12.0ms

(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify36.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	270	311
1	1434	265
2	5001	261

prune79.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.8b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))
0.0b	(pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)
17.9b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
18×	`unpow-prod-down` `cube-prod`
15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
14×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/r/`
8×	`flip3-+` `flip-+` `associate-/l/`
5×	`div-inv`
4×	`pow1` `cbrt-undiv` `frac-times` `div-exp`
3×	`pow-unpow` `flip3--` `pow-exp` `associate-/r*` `flip--` `add-log-exp` `rem-cube-cbrt`
2×	`cube-div` `cube-mult` `unpow3` `associate-r/` `associate-l/` `prod-exp` `cbrt-unprod` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `rem-cbrt-cube` `associate-/l*`

Counts

3 → 105

Calls

3 calls:

6.0ms	(cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))
11.0ms	(pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)
12.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series211.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))
72.0ms	(pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)
62.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify72.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	474	1168
1	2637	1106
2	5003	1099

prune208.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))
17.4b	(/ (+ (* x x) (* y y)) (+ x y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

174×	`times-frac`
160×	`*-un-lft-identity`
116×	`add-sqr-sqrt`
78×	`add-cube-cbrt`
22×	`associate-/r*` `distribute-lft-out`
19×	`distribute-lft-out--` `difference-of-squares`
15×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`flip3-+` `flip-+` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`flip3--` `div-sub` `flip--`

Counts

2 → 166

Calls

2 calls:

17.0ms	(/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))
12.0ms	(/ (+ (* x x) (* y y)) (+ x y))

series118.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))
56.0ms	(/ (+ (* x x) (* y y)) (+ x y))

simplify85.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	677	2255
1	3023	2178
2	5002	2175

prune301.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.8b

localize3.0ms

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

prune0.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.8b

regimes83.0ms

Accuracy

78.2% (4.2b remaining)

Error of 4.8b against oracle of 0.5b and baseline of 20.0b

bsearch55.0ms

Steps

Iters	Range	Point
0	7.737389260971837e-163	7.869632361626322e-163	7.80351081129908e-163
8	-1.3676530185190303e-160	-1.5886659459449995e-163	-1.651593275181696e-162
7	-2.4724731267575454e+156	-1.121438893532195e+154	-1.1417806673352596e+154

Iters

Range

Point

7.737389260971837e-163

7.869632361626322e-163

7.80351081129908e-163

-1.3676530185190303e-160

-1.5886659459449995e-163

-1.651593275181696e-162

-2.4724731267575454e+156

-1.121438893532195e+154

-1.1417806673352596e+154

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	19
1	33	19

end0.0ms

sample506.0ms

Algorithm

intervals

Results

244.0ms	8000×	body	80	valid
113.0ms	8000×	pre	80	true