Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

335×

body

valid

simplify115.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	3
1	25	3
2	36	3
3	40	3
4	46	3
5	58	3
6	93	3
7	130	3
8	163	3
9	273	3
10	507	3
11	1618	3
12	5001	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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-+r+` `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:

2.0ms	(+ x (* y (+ z x)))
12.0ms	(* y (+ z x))

series50.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ x (* y (+ z x)))
24.0ms	(* y (+ z x))

simplify94.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	186	164
1	769	149
2	3889	149
3	5003	149

prune74.0ms

Filtered

42 candidates to 28 candidates (66.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
1×	`associate-+r+`

Counts

2 → 26

Calls

2 calls:

6.0ms	(+ x (+ (* y z) (* y x)))
2.0ms	(+ (* y z) (* y x))

series52.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ x (+ (* y z) (* y x)))
27.0ms	(+ (* y z) (* y x))

simplify86.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	171	168
1	679	149
2	2849	147
3	5001	147

prune63.0ms

Filtered

32 candidates to 24 candidates (75.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (+ (* y z) (* y x)))) (cbrt (+ x (+ (* y z) (* y x)))))
0.6b	(cbrt (+ x (+ (* y z) (* y x))))
0.6b	(cbrt (+ x (+ (* y z) (* y x))))
0.6b	(cbrt (+ x (+ (* y z) (* y x))))

rewrite251.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
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 → 95

Calls

4 calls:

232.0ms	(* (cbrt (+ x (+ (* y z) (* y x)))) (cbrt (+ x (+ (* y z) (* y x)))))
5.0ms	(cbrt (+ x (+ (* y z) (* y x))))
5.0ms	(cbrt (+ x (+ (* y z) (* y x))))
6.0ms	(cbrt (+ x (+ (* y z) (* y x))))

series751.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(* (cbrt (+ x (+ (* y z) (* y x)))) (cbrt (+ x (+ (* y z) (* y x)))))
174.0ms	(cbrt (+ x (+ (* y z) (* y x))))
169.0ms	(cbrt (+ x (+ (* y z) (* y x))))
177.0ms	(cbrt (+ x (+ (* y z) (* y x))))

simplify53.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	339	1458
1	1177	1374
2	5001	1231

prune278.0ms

Filtered

107 candidates to 78 candidates (72.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- z x))
4.0b	(- (* z z) (* x x))
20.3b	(* (* y y) (- (* z z) (* x x)))
23.9b	(/ (* (* y y) (- (* z z) (* x x))) (* y (- z x)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

12.0ms	(* y (- z x))
2.0ms	(- (* z z) (* x x))
14.0ms	(* (* y y) (- (* z z) (* x x)))
14.0ms	(/ (* (* y y) (- (* z z) (* x x))) (* y (- z x)))

series215.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* y (- z x))
33.0ms	(- (* z z) (* x x))
68.0ms	(* (* y y) (- (* z z) (* x x)))
80.0ms	(/ (* (* y y) (- (* z z) (* x x))) (* y (- z x)))

simplify96.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	463	774
1	3119	580
2	5002	557

prune201.0ms

Filtered

106 candidates to 64 candidates (60.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes49.0ms

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	4
1	11	4

end0.0ms

sample422.0ms

Algorithm

intervals

Results

208.0ms

10140×

body

valid