Details

sample35.0ms

Algorithm

intervals

Results

15.0ms

395×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	32	4
2	57	4
3	63	4
4	63	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) z))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

5.0ms

(- (* x x) (* (* y 4.0) z))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(- (* x x) (* (* y 4.0) z))

simplify66.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	99	103
1	400	93
2	1856	93
3	5002	93

prune33.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) z))
0.2b	(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
2.2b	(sqrt (- (* x x) (* (* y 4.0) z)))
2.2b	(sqrt (- (* x x) (* (* y 4.0) z)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

2.0ms	(- (* x x) (* (* y 4.0) z))
21.0ms	(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
4.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
4.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))

series227.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (* x x) (* (* y 4.0) z))
42.0ms	(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
69.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
68.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))

simplify40.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	225	918
1	901	842
2	5001	814

prune195.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

2.2b	(sqrt (- (* x x) (* (* y 4.0) z)))
2.2b	(sqrt (- (* x x) (* (* y 4.0) z)))
2.2b	(sqrt (- (* x x) (* (* y 4.0) z)))
2.2b	(sqrt (- (* x x) (* (* y 4.0) z)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
8×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
4×	`add-exp-log` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

4.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
4.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
4.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
4.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))

series270.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
65.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
68.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
68.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))

simplify66.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	130	540
1	469	520
2	1865	516
3	5002	508

prune223.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) z))
0.3b	(* (* (* y 4.0) z) (* (* y 4.0) z))
2.9b	(+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
28.0b	(/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

118×	`pow1`
66×	`pow-prod-down`
42×	`add-exp-log` `add-cbrt-cube`
27×	`prod-exp` `cbrt-unprod`
23×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
10×	`add-log-exp`
9×	`pow-sqr` `pow-prod-up`
5×	`distribute-lft-out`
4×	`flip3-+` `flip-+` `associate-/l*`
3×	`pow-plus` `associate-/r*` `sum-log`
2×	`+-commutative` `neg-sub0` `associate-+l-` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `div-sub` `swap-sqr` `div-exp` `associate-r` `associate-l` `neg-log` `clear-num` `*-commutative` `div-inv`

Counts

4 → 121

Calls

4 calls:

3.0ms	(+ (* x x) (* (* y 4.0) z))
35.0ms	(* (* (* y 4.0) z) (* (* y 4.0) z))
12.0ms	(+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
24.0ms	(/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

series280.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (* x x) (* (* y 4.0) z))
38.0ms	(* (* (* y 4.0) z) (* (* y 4.0) z))
107.0ms	(+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
98.0ms	(/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

simplify81.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	459	1287
1	2449	1076
2	5002	1052

prune205.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes153.0ms

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	10	4
1	10	4

end0.0ms

sample516.0ms

Algorithm

intervals

Results

279.0ms

12341×

body

valid