Details

sample19.0ms

Algorithm

intervals

Results

7.0ms	325×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	4×	body	320	valid
0.0ms	1×	body	640	valid
0.0ms	2×	body	160	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize10.0ms

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:

25.0ms	(* x (+ y z))
30.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify117.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (29.0ms)

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

prune80.0ms

Pruning

5 alts after pruning (4 fresh and 1 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))

series64.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* x y) (* x z))
31.0ms	(+ (+ (* x y) (* x z)) (* z 5.0))

simplify99.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (25.0ms)

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

prune64.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

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:

21.0ms	(* (cbrt (+ y z)) (cbrt (+ y z)))
2.0ms	(cbrt (+ y z))
2.0ms	(cbrt (+ y z))
2.0ms	(cbrt (+ y z))

series578.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(* (cbrt (+ y z)) (cbrt (+ y z)))
133.0ms	(cbrt (+ y z))
140.0ms	(cbrt (+ y z))
131.0ms	(cbrt (+ y z))

simplify142.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (134.0ms)

Iter	Nodes	Cost
0	247	671
1	887	634
2	4204	580
3	5002	576

prune282.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ y z))
0.6b	(cbrt (+ y z))
0.6b	(cbrt (+ y z))
0.6b	(cbrt (cbrt (+ y z)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod`
17×	`*-un-lft-identity`
10×	`cbrt-div`
9×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

4 → 59

Calls

4 calls:

2.0ms	(cbrt (+ y z))
2.0ms	(cbrt (+ y z))
2.0ms	(cbrt (+ y z))
3.0ms	(cbrt (cbrt (+ y z)))

series610.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt (+ y z))
131.0ms	(cbrt (+ y z))
138.0ms	(cbrt (+ y z))
205.0ms	(cbrt (cbrt (+ y z)))

simplify58.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	196	395
1	495	373
2	1823	362
3	5001	362

prune275.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes88.0ms

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	12	4
1	12	4

end0.0ms

sample471.0ms

Algorithm

intervals

Results

232.0ms	9820×	body	80	valid
13.0ms	121×	body	640	valid
11.0ms	110×	body	1280	valid
5.0ms	78×	body	320	valid
1.0ms	24×	body	160	valid