Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

334×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	345	9
1	345	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

localize6.0ms

Local error

Found 2 expressions with local error:

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

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

series17.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(+ (* x y) (* (- 1.0 x) z))
5.0ms	(* (- 1.0 x) z)

simplify41.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5197	345

prune56.0ms

Filtered

26 candidates to 39 candidates (-50.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	35	4	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	5	40

Merged error: 0b

Counts

40 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* (- 1.0 x) z) (* x y))) (cbrt (+ (* (- 1.0 x) z) (* x y))))
0.7b	(cbrt (+ (* (- 1.0 x) z) (* x y)))
0.7b	(cbrt (+ (* (- 1.0 x) z) (* x y)))
0.7b	(cbrt (+ (* (- 1.0 x) z) (* x y)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

16.0ms	(* (cbrt (+ (* (- 1.0 x) z) (* x y))) (cbrt (+ (* (- 1.0 x) z) (* x y))))
6.0ms	(cbrt (+ (* (- 1.0 x) z) (* x y)))
6.0ms	(cbrt (+ (* (- 1.0 x) z) (* x y)))
6.0ms	(cbrt (+ (* (- 1.0 x) z) (* x y)))

series176.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (cbrt (+ (* (- 1.0 x) z) (* x y))) (cbrt (+ (* (- 1.0 x) z) (* x y))))
38.0ms	(cbrt (+ (* (- 1.0 x) z) (* x y)))
38.0ms	(cbrt (+ (* (- 1.0 x) z) (* x y)))
40.0ms	(cbrt (+ (* (- 1.0 x) z) (* x y)))

simplify58.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4947	1970
1	4947	1970

prune231.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	99	5	104

Merged error: 0b

Counts

104 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (/ (* (- 1.0 x) (* z (+ 1.0 x))) (+ 1.0 x)))
0.0b	(* z (+ 1.0 x))
0.1b	(* (- 1.0 x) (* z (+ 1.0 x)))
6.2b	(/ (* (- 1.0 x) (* z (+ 1.0 x))) (+ 1.0 x))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

9.0ms	(+ (* x y) (/ (* (- 1.0 x) (* z (+ 1.0 x))) (+ 1.0 x)))
6.0ms	(* z (+ 1.0 x))
10.0ms	(* (- 1.0 x) (* z (+ 1.0 x)))
16.0ms	(/ (* (- 1.0 x) (* z (+ 1.0 x))) (+ 1.0 x))

series27.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (* x y) (/ (* (- 1.0 x) (* z (+ 1.0 x))) (+ 1.0 x)))
5.0ms	(* z (+ 1.0 x))
8.0ms	(* (- 1.0 x) (* z (+ 1.0 x)))
5.0ms	(/ (* (- 1.0 x) (* z (+ 1.0 x))) (+ 1.0 x))

simplify51.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4979	1149
1	4979	1149

prune126.0ms

Filtered

72 candidates to 113 candidates (-56.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	113	5	118

Merged error: 0b

Counts

118 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (/ (* z (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
0.0b	(+ (* x x) (* 1.0 x))
2.9b	(* z (- (pow 1.0 3) (pow x 3)))
11.1b	(/ (* z (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite56.0ms

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:

11.0ms	(+ (* x y) (/ (* z (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
4.0ms	(+ (* x x) (* 1.0 x))
18.0ms	(* z (- (pow 1.0 3) (pow x 3)))
20.0ms	(/ (* z (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series74.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (* x y) (/ (* z (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
5.0ms	(+ (* x x) (* 1.0 x))
14.0ms	(* z (- (pow 1.0 3) (pow x 3)))
31.0ms	(/ (* z (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify47.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5023	1522

prune186.0ms

Filtered

71 candidates to 106 candidates (-49.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	106	5	111

Merged error: 0b

Counts

111 → 5

regimes207.0ms

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	21	9
1	21	9

end0.0ms

sample616.0ms

Algorithm

intervals

Results

278.0ms

10177×

body

valid

Details

sample23.0ms

simplify13.0ms

prune3.0ms

localize6.0ms

rewrite11.0ms

series17.0ms

simplify41.0ms

prune56.0ms

localize11.0ms

rewrite38.0ms

series176.0ms

simplify58.0ms

prune231.0ms

localize10.0ms

rewrite45.0ms

series27.0ms

simplify51.0ms

prune126.0ms

localize16.0ms

rewrite56.0ms

series74.0ms

simplify47.0ms

prune186.0ms

regimes207.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample616.0ms

Profiling