Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

379×

body

valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	3
1	33	3
2	73	3
3	112	3
4	129	3
5	131	3
6	131	3

prune3.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`prod-diff`
17×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-r`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `sub-neg` `flip3--` `associate-l/` `-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 68

Calls

2 calls:

14.0ms	(* (* x (- x y)) 2.0)
12.0ms	(* x (- x y))

series87.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* (* x (- x y)) 2.0)
39.0ms	(* x (- x y))

simplify46.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	268	469
1	1243	316
2	5001	310

prune89.0ms

Filtered

74 candidates to 36 candidates (48.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r/` `associate-*l/`
1×	`expm1-log1p-u` `flip3--` `associate-r` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

13.0ms

(* x (* (- x y) 2.0))

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(* x (* (- x y) 2.0))

simplify79.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	144	117
1	558	95
2	3176	95
3	5002	95

prune42.0ms

Filtered

25 candidates to 18 candidates (72.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (* x (- (pow x 3) (pow y 3))) (+ (* x x) (+ (* y y) (* x y)))) 2.0)
0.0b	(+ (* y y) (* x y))
2.4b	(* x (- (pow x 3) (pow y 3)))
33.1b	(/ (* x (- (pow x 3) (pow y 3))) (+ (* x x) (+ (* y y) (* x y))))

rewrite284.0ms

Algorithm

rewrite-expression-head

Rules

288×	`prod-diff`
183×	`add-sqr-sqrt`
165×	`*-un-lft-identity`
156×	`unpow-prod-down` `cube-prod`
155×	`add-cube-cbrt`
146×	`distribute-rgt-in` `distribute-lft-in`
56×	`sqr-pow`
48×	`cube-mult` `unpow3`
28×	`associate-r`
20×	`add-exp-log` `add-cbrt-cube`
16×	`difference-of-squares`
12×	`associate-l`
8×	`pow1`
6×	`times-frac` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`distribute-lft-out--`
4×	`cbrt-undiv` `expm1-log1p-u` `associate-*r/` `div-exp` `associate-/r/` `log1p-expm1-u`
3×	`flip3-+` `associate-/r*` `flip-+`
2×	`sub-neg` `flip3--` `pow-prod-down` `*-commutative` `flip--` `div-inv` `associate-/l/` `unswap-sqr`
1×	`difference-cubes` `+-commutative` `distribute-rgt-out` `fma-def` `frac-2neg` `associate-l/` `clear-num` `sum-log` `associate-/l`

Counts

4 → 409

Calls

4 calls:

85.0ms	(* (/ (* x (- (pow x 3) (pow y 3))) (+ (* x x) (+ (* y y) (* x y)))) 2.0)
3.0ms	(+ (* y y) (* x y))
81.0ms	(* x (- (pow x 3) (pow y 3)))
89.0ms	(/ (* x (- (pow x 3) (pow y 3))) (+ (* x x) (+ (* y y) (* x y))))

series305.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (/ (* x (- (pow x 3) (pow y 3))) (+ (* x x) (+ (* y y) (* x y)))) 2.0)
28.0ms	(+ (* y y) (* x y))
60.0ms	(* x (- (pow x 3) (pow y 3)))
108.0ms	(/ (* x (- (pow x 3) (pow y 3))) (+ (* x x) (+ (* y y) (* x y))))

simplify84.0ms

Algorithm

egg-herbie

Counts

421 → 421

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1066	5009
1	5001	3552

prune332.0ms

Filtered

421 candidates to 93 candidates (22.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes27.0ms

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

sample416.0ms

Algorithm

intervals

Results

242.0ms

11108×

body

valid