Details

sample17.0ms

Algorithm

intervals

Results

7.0ms	323×	body	80	valid
0.0ms	4×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	1×	body	160	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	4
1	28	4
2	38	4
3	41	4
4	41	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
0.0b	(+ (* x (+ y z)) (* z 5.0))

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-+l+` `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:

9.0ms	(* x (+ y z))
5.0ms	(+ (* x (+ y z)) (* z 5.0))

series55.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* x (+ y z))
31.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify115.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	212	186
1	877	169
2	4182	168
3	5001	168

prune83.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* x z))
0.0b	(+ (+ (* x y) (* x z)) (* z 5.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 25

Calls

2 calls:

2.0ms	(+ (* x y) (* x z))
11.0ms	(+ (+ (* x y) (* x z)) (* z 5.0))

series58.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (* x y) (* x z))
27.0ms	(+ (+ (* x y) (* x z)) (* z 5.0))

simplify97.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	182	194
1	727	170
2	3072	165
3	5003	165

prune70.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ (* x y) (* x z)) (* z 5.0)))
0.5b	(cbrt (+ (+ (* x y) (* x z)) (* z 5.0)))
0.5b	(cbrt (+ (+ (* x y) (* x z)) (* z 5.0)))
0.5b	(* (cbrt (+ (+ (* x y) (* x z)) (* z 5.0))) (cbrt (+ (+ (* x y) (* x z)) (* z 5.0))))

rewrite82.0ms

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:

7.0ms	(cbrt (+ (+ (* x y) (* x z)) (* z 5.0)))
7.0ms	(cbrt (+ (+ (* x y) (* x z)) (* z 5.0)))
7.0ms	(cbrt (+ (+ (* x y) (* x z)) (* z 5.0)))
59.0ms	(* (cbrt (+ (+ (* x y) (* x z)) (* z 5.0))) (cbrt (+ (+ (* x y) (* x z)) (* z 5.0))))

series642.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(cbrt (+ (+ (* x y) (* x z)) (* z 5.0)))
144.0ms	(cbrt (+ (+ (* x y) (* x z)) (* z 5.0)))
146.0ms	(cbrt (+ (+ (* x y) (* x z)) (* z 5.0)))
198.0ms	(* (cbrt (+ (+ (* x y) (* x z)) (* z 5.0))) (cbrt (+ (+ (* x y) (* x z)) (* z 5.0))))

simplify52.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	320	1464
1	1129	1352
2	5001	1209

prune318.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ (* x y) (* x z)) (* z 5.0)))
0.5b	(cbrt (+ (+ (* x y) (* x z)) (* z 5.0)))
0.5b	(* (cbrt (cbrt (+ (+ (* x y) (* x z)) (* z 5.0)))) (cbrt (cbrt (+ (+ (* x y) (* x z)) (* z 5.0)))))
1.0b	(pow (cbrt (cbrt (+ (+ (* x y) (* x z)) (* z 5.0)))) 4)

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

69×	`cbrt-prod`
40×	`add-sqr-sqrt`
28×	`cbrt-div`
22×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
9×	`unpow-prod-down` `pow1/3` `swap-sqr` `associate-r` `associate-l` `unswap-sqr`
8×	`flip3-+` `flip-+`
7×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-plus` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 112

Calls

4 calls:

7.0ms	(cbrt (+ (+ (* x y) (* x z)) (* z 5.0)))
7.0ms	(cbrt (+ (+ (* x y) (* x z)) (* z 5.0)))
64.0ms	(* (cbrt (cbrt (+ (+ (* x y) (* x z)) (* z 5.0)))) (cbrt (cbrt (+ (+ (* x y) (* x z)) (* z 5.0)))))
15.0ms	(pow (cbrt (cbrt (+ (+ (* x y) (* x z)) (* z 5.0)))) 4)

series761.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(cbrt (+ (+ (* x y) (* x z)) (* z 5.0)))
151.0ms	(cbrt (+ (+ (* x y) (* x z)) (* z 5.0)))
213.0ms	(* (cbrt (cbrt (+ (+ (* x y) (* x z)) (* z 5.0)))) (cbrt (cbrt (+ (+ (* x y) (* x z)) (* z 5.0)))))
239.0ms	(pow (cbrt (cbrt (+ (+ (* x y) (* x z)) (* z 5.0)))) 4)

simplify70.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	504	2018
1	1787	1742
2	5002	1628

prune465.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes109.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	5
1	14	5

end0.0ms

sample455.0ms

Algorithm

intervals

Results

224.0ms	9760×	body	80	valid
14.0ms	141×	body	1280	valid
8.0ms	101×	body	640	valid
4.0ms	60×	body	320	valid
2.0ms	36×	body	160	valid