Details

sample18.0ms

Algorithm

intervals

Results

6.0ms

329×

body

valid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	26	3
2	56	3
3	137	3
4	229	3
5	289	3
6	379	3
7	582	3
8	878	3
9	1193	3
10	1234	3
11	1234	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (- 1.0 z))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`associate-r`
4×	`frac-times` `associate-l`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3--` `flip3-+` `add-cbrt-cube` `flip--` `flip-+`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 33

Calls

1 calls:

38.0ms

(* (+ x y) (- 1.0 z))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(* (+ x y) (- 1.0 z))

simplify34.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	240	207
1	997	192
2	5001	190

prune72.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1.0 (+ x y)) (* (- z) (+ x y)))
0.0b	(* (- z) (+ x y))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-r/` `associate-l*`
8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-cube-cbrt` `flip3-+` `flip-+`
4×	`pow1` `add-exp-log` `associate-r` `frac-add` `add-cbrt-cube` `add-log-exp`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-in` `distribute-rgt-neg-in` `distribute-lft-in`
2×	`associate-+l+` `associate-+r+`
1×	`+-commutative` `neg-mul-1` `distribute-rgt-out` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 53

Calls

2 calls:

15.0ms	(+ (* 1.0 (+ x y)) (* (- z) (+ x y)))
25.0ms	(* (- z) (+ x y))

series93.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(+ (* 1.0 (+ x y)) (* (- z) (+ x y)))
43.0ms	(* (- z) (+ x y))

simplify50.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	387	384
1	1802	333
2	5003	332

prune122.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 1.0 (+ x y)) (* x z))
0.0b	(+ (- (* 1.0 (+ x y)) (* x z)) (* y (- z)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`associate-+l+` `associate--l+`
2×	`pow1` `add-exp-log` `distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `*-un-lft-identity` `distribute-lft-in` `diff-log` `sum-log` `distribute-rgt-neg-out` `add-cbrt-cube`
1×	`+-commutative` `associate-+l-` `flip3--` `flip3-+` `unsub-neg` `flip--` `flip-+`

Counts

2 → 33

Calls

2 calls:

15.0ms	(- (* 1.0 (+ x y)) (* x z))
56.0ms	(+ (- (* 1.0 (+ x y)) (* x z)) (* y (- z)))

series91.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(- (* 1.0 (+ x y)) (* x z))
53.0ms	(+ (- (* 1.0 (+ x y)) (* x z)) (* y (- z)))

simplify127.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 3 (123.0ms)

Iter	Nodes	Cost
0	199	286
1	815	260
2	4674	246
3	5001	235

prune78.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 (+ x y)) (/ (* (- z) (- (* x x) (* y y))) (- x y)))
2.9b	(- (* x x) (* y y))
8.6b	(* (- z) (- (* x x) (* y y)))
20.4b	(/ (* (- z) (- (* x x) (* y y))) (- x y))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

26.0ms	(+ (* 1.0 (+ x y)) (/ (* (- z) (- (* x x) (* y y))) (- x y)))
8.0ms	(- (* x x) (* y y))
34.0ms	(* (- z) (- (* x x) (* y y)))
30.0ms	(/ (* (- z) (- (* x x) (* y y))) (- x y))

series277.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(+ (* 1.0 (+ x y)) (/ (* (- z) (- (* x x) (* y y))) (- x y)))
32.0ms	(- (* x x) (* y y))
71.0ms	(* (- z) (- (* x x) (* y y)))
91.0ms	(/ (* (- z) (- (* x x) (* y y))) (- x y))

simplify70.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	516	866
1	2691	757
2	5001	749

prune248.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes93.0ms

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	9	3
1	9	3

end0.0ms

sample453.0ms

Algorithm

intervals

Results

182.0ms	10069×	body	80	valid
0.0ms	1×	body	640	valid