Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

331×

body

valid

simplify111.0ms

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

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))

rewrite12.0ms

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)))
9.0ms	(* y (+ z x))

series54.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ x (* y (+ z x)))
25.0ms	(* y (+ z x))

simplify93.0ms

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

prune70.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

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

series59.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (* y z) (* y x))
31.0ms	(+ x (+ (* y z) (* y x)))

simplify85.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 2 (22.0ms)

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

prune58.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity` `sqrt-prod`
28×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt`
11×	`swap-sqr`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+` `distribute-lft-out` `add-log-exp`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `sum-log` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `associate-+r+` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 108

Calls

4 calls:

6.0ms	(+ x (+ (* y z) (* y x)))
10.0ms	(sqrt (+ x (+ (* y z) (* y x))))
10.0ms	(sqrt (+ x (+ (* y z) (* y x))))
49.0ms	(* (sqrt (+ x (+ (* y z) (* y x)))) (sqrt (+ x (+ (* y z) (* y x)))))

series333.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ x (+ (* y z) (* y x)))
129.0ms	(sqrt (+ x (+ (* y z) (* y x))))
139.0ms	(sqrt (+ x (+ (* y z) (* y x))))
30.0ms	(* (sqrt (+ x (+ (* y z) (* y x)))) (sqrt (+ x (+ (* y z) (* y x)))))

simplify56.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	238	958
1	1038	861
2	5001	827

prune189.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes40.0ms

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

sample399.0ms

Algorithm

intervals

Results

188.0ms

10148×

body

valid