Details

sample27.0ms

Algorithm

intervals

Results

7.0ms	228×	body	80	valid
5.0ms	35×	body	1280	valid
3.0ms	32×	body	640	valid
1.0ms	14×	body	320	valid
1.0ms	13×	body	160	valid
1.0ms	4×	body	2560	valid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	20	7
1	64	4
2	187	2
3	1171	2
4	5001	2

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x z))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

10.0ms

(* y (- x z))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(* y (- x z))

simplify49.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	112	98
1	462	88
2	1883	88
3	5002	88

prune44.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`distribute-rgt-neg-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `unsub-neg` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 14

Calls

1 calls:

3.0ms

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

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify70.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	106	90
1	438	69
2	1930	66
3	5002	65

prune37.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

4.0b	(- (* x x) (* z z))
8.8b	(* y (- (* x x) (* z z)))
19.5b	(/ (* y (- (* x x) (* z z))) (+ x z))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

3.0ms	(- (* x x) (* z z))
11.0ms	(* y (- (* x x) (* z z)))
11.0ms	(/ (* y (- (* x x) (* z z))) (+ x z))

series178.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(- (* x x) (* z z))
66.0ms	(* y (- (* x x) (* z z)))
77.0ms	(/ (* y (- (* x x) (* z z))) (+ x z))

simplify50.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	309	479
1	1609	402
2	5001	375

prune129.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (- x z))
0.3b	(/ y (/ 1 (- x z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
102×	`add-sqr-sqrt` `*-un-lft-identity`
70×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

2 → 145

Calls

2 calls:

8.0ms	(/ 1 (- x z))
10.0ms	(/ y (/ 1 (- x z)))

series75.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ 1 (- x z))
37.0ms	(/ y (/ 1 (- x z)))

simplify53.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	461	1022
1	2154	896
2	5001	757

prune179.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes44.0ms

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	6	2
1	6	2

end0.0ms

sample765.0ms

Algorithm

intervals

Results

199.0ms	7050×	body	80	valid
132.0ms	951×	body	1280	valid
111.0ms	977×	body	640	valid
49.0ms	595×	body	320	valid
38.0ms	222×	body	2560	valid
19.0ms	360×	body	160	valid