Details

sample16.0ms

Algorithm

intervals

Results

6.0ms	297×	body	80	valid
0.0ms	4×	body	320	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	160	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	4
1	28	4
2	38	4
3	41	4
4	41	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
0.0b	(+ (* x (+ y z)) (* z 5.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

10.0ms	(* x (+ y z))
5.0ms	(+ (* x (+ y z)) (* z 5.0))

series55.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* x (+ y z))
28.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify118.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	212	186
1	877	169
2	4182	168
3	5001	168

prune77.0ms

Filtered

42 candidates to 28 candidates (66.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* z (+ x 5.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

10.0ms

(* z (+ x 5.0))

series34.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(* z (+ x 5.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	125	86
1	533	76
2	2146	76
3	5002	76

prune49.0ms

Filtered

26 candidates to 16 candidates (61.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

5.0b	(* z (- (* x x) (* 5.0 5.0)))
5.9b	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

11.0ms	(* z (- (* x x) (* 5.0 5.0)))
11.0ms	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

series151.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* z (- (* x x) (* 5.0 5.0)))
87.0ms	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	309	416
1	1541	349
2	5003	314

prune128.0ms

Filtered

60 candidates to 41 candidates (68.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ 1 (/ (- x 5.0) (* z (- (* x x) (* 5.0 5.0)))))
5.0b	(* z (- (* x x) (* 5.0 5.0)))
5.9b	(/ (- x 5.0) (* z (- (* x x) (* 5.0 5.0))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
41×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`add-exp-log`
27×	`add-cube-cbrt`
19×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-r/` `associate-/r`
11×	`associate-/r/`
8×	`associate-/l*`
7×	`cbrt-undiv` `flip3--` `flip--` `difference-of-squares`
6×	`pow1` `div-inv` `distribute-lft-out--`
5×	`prod-exp`
4×	`associate-r`
3×	`rec-exp` `1-exp` `associate-l` `cbrt-unprod` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `pow-prod-down` `*-commutative` `inv-pow` `unswap-sqr`

Counts

3 → 127

Calls

3 calls:

16.0ms	(/ 1 (/ (- x 5.0) (* z (- (* x x) (* 5.0 5.0)))))
11.0ms	(* z (- (* x x) (* 5.0 5.0)))
11.0ms	(/ (- x 5.0) (* z (- (* x x) (* 5.0 5.0))))

series169.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(/ 1 (/ (- x 5.0) (* z (- (* x x) (* 5.0 5.0)))))
61.0ms	(* z (- (* x x) (* 5.0 5.0)))
48.0ms	(/ (- x 5.0) (* z (- (* x x) (* 5.0 5.0))))

simplify77.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	561	1276
1	2920	1116
2	5002	1057

prune245.0ms

Filtered

136 candidates to 76 candidates (55.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

sample440.0ms

Algorithm

intervals

Results

218.0ms	9740×	body	80	valid
11.0ms	114×	body	1280	valid
9.0ms	112×	body	640	valid
4.0ms	66×	body	320	valid
1.0ms	36×	body	160	valid