Details

sample22.0ms

Algorithm

intervals

Results

8.0ms

314×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	134	9
1	134	9

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

6.0ms	(* (- 1.0 x) z)
4.0ms	(+ (* x y) (* (- 1.0 x) z))

series12.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* (- 1.0 x) z)
8.0ms	(+ (* x y) (* (- 1.0 x) z))

simplify23.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5359	345

prune46.0ms

Filtered

26 candidates to 39 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0.0b

Counts

40 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* 1.0 x))
0.0b	(+ (* x y) (/ (* z (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
2.6b	(* z (- (pow 1.0 3) (pow x 3)))
14.0b	(/ (* z (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

4.0ms	(+ (* x x) (* 1.0 x))
10.0ms	(+ (* x y) (/ (* z (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
17.0ms	(* z (- (pow 1.0 3) (pow x 3)))
19.0ms	(/ (* z (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series69.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (* x x) (* 1.0 x))
23.0ms	(+ (* x y) (/ (* z (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
14.0ms	(* z (- (pow 1.0 3) (pow x 3)))
28.0ms	(/ (* z (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify31.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5662	1530

prune179.0ms

Filtered

71 candidates to 106 candidates (-49.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	106	3	109

Merged error: 0.0b

Counts

109 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* (* (- 1.0 x) (sqrt z)) (sqrt z)))
0.0b	(* (- 1.0 x) (sqrt z))
0.2b	(* (* (- 1.0 x) (sqrt z)) (sqrt z))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`associate-r`
10×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
8×	`add-cube-cbrt`
7×	`sqrt-prod`
6×	`associate-l` `associate-*l/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 60

Calls

3 calls:

4.0ms	(+ (* x y) (* (* (- 1.0 x) (sqrt z)) (sqrt z)))
7.0ms	(* (- 1.0 x) (sqrt z))
9.0ms	(* (* (- 1.0 x) (sqrt z)) (sqrt z))

series21.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(+ (* x y) (* (* (- 1.0 x) (sqrt z)) (sqrt z)))
6.0ms	(* (- 1.0 x) (sqrt z))
5.0ms	(* (* (- 1.0 x) (sqrt z)) (sqrt z))

simplify44.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5656	619

prune62.0ms

Filtered

46 candidates to 69 candidates (-50.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	69	3	72

Merged error: 0.0b

Counts

72 → 3

regimes178.0ms

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	11	9
1	11	9

end0.0ms

sample624.0ms

Algorithm

intervals

Results

281.0ms

10151×

body

valid

Details

sample22.0ms

simplify5.0ms

prune3.0ms

localize10.0ms

rewrite11.0ms

series12.0ms

simplify23.0ms

prune46.0ms

localize16.0ms

rewrite55.0ms

series69.0ms

simplify31.0ms

prune179.0ms

localize9.0ms

rewrite22.0ms

series21.0ms

simplify44.0ms

prune62.0ms

regimes178.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample624.0ms

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