Details

sample28.0ms

Algorithm

intervals

Results

6.0ms	219×	body	80	valid
4.0ms	34×	body	1280	valid
3.0ms	25×	body	640	valid
2.0ms	10×	body	2560	valid
1.0ms	17×	body	320	valid
1.0ms	15×	body	160	valid

simplify43.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (11.0ms)

Iter	Nodes	Cost
0	22	6
1	68	4
2	197	3
3	1232	2
4	5001	2

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x z))

rewrite10.0ms

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))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(* y (- x z))

simplify47.0ms

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

prune51.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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)))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify69.0ms

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

prune40.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- x z))
0.3b	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
2.5b	(sqrt (* y (- x z)))
2.5b	(sqrt (* y (- x z)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
16×	`add-sqr-sqrt` `sqrt-div`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3--` `associate-r` `flip--`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 109

Calls

4 calls:

10.0ms	(* y (- x z))
26.0ms	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
3.0ms	(sqrt (* y (- x z)))
3.0ms	(sqrt (* y (- x z)))

series254.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* y (- x z))
106.0ms	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
59.0ms	(sqrt (* y (- x z)))
55.0ms	(sqrt (* y (- x z)))

simplify54.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	254	526
1	1160	473
2	5001	449

prune218.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

3.4b	(- (* x x) (* z z))
11.4b	(* y (- (* x x) (* z z)))
19.8b	(/ (* y (- (* x x) (* z z))) (+ x z))

rewrite25.0ms

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))
10.0ms	(* y (- (* x x) (* z z)))
10.0ms	(/ (* y (- (* x x) (* z z))) (+ x z))

series175.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(- (* x x) (* z z))
70.0ms	(* y (- (* x x) (* z z)))
74.0ms	(/ (* y (- (* x x) (* z z))) (+ x z))

simplify52.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (45.0ms)

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

prune140.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes47.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	16	4
2	17	4
3	17	4

end0.0ms

sample737.0ms

Algorithm

intervals

Results

200.0ms	7071×	body	80	valid
126.0ms	928×	body	1280	valid
88.0ms	833×	body	640	valid
48.0ms	582×	body	320	valid
37.0ms	216×	body	2560	valid
28.0ms	543×	body	160	valid