Details

sample18.0ms

Algorithm

intervals

Results

7.0ms	310×	body	80	valid
0.0ms	5×	body	160	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

simplify9.0ms

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: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:

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

series53.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* x (+ y z))
29.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify116.0ms

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

prune76.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (sqrt x) (* (sqrt x) (+ y z))) (* z 5.0))
0.1b	(* (sqrt x) (+ y z))
0.2b	(* (sqrt x) (* (sqrt x) (+ y z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `associate-l`
10×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-cube-cbrt`
7×	`sqrt-prod`
6×	`associate-*r/`
5×	`associate-r` `add-log-exp`
4×	`associate-+l+` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`flip3-+` `flip-+`
2×	`*-commutative` `unswap-sqr`
1×	`+-commutative` `sum-log` `distribute-lft-out`

Counts

3 → 69

Calls

3 calls:

10.0ms	(+ (* (sqrt x) (* (sqrt x) (+ y z))) (* z 5.0))
7.0ms	(* (sqrt x) (+ y z))
9.0ms	(* (sqrt x) (* (sqrt x) (+ y z)))

series168.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(+ (* (sqrt x) (* (sqrt x) (+ y z))) (* z 5.0))
74.0ms	(* (sqrt x) (+ y z))
41.0ms	(* (sqrt x) (* (sqrt x) (+ y z)))

simplify50.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	360	457
1	1647	373
2	5002	365

prune153.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ y z))
0.0b	(+ (* z 5.0) (* x (+ y z)))
0.3b	(pow (+ (* z 5.0) (* x (+ y z))) 3)
38.5b	(cbrt (pow (+ (* z 5.0) (* x (+ y z))) 3))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`cbrt-prod` `add-cube-cbrt`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `cube-prod` `add-log-exp`
4×	`cube-div` `flip3-+` `associate-r` `flip-+`
3×	`pow-unpow` `associate-l`
2×	`distribute-rgt-in` `cube-mult` `cbrt-div` `associate-+r+` `distribute-lft-in` `unpow3` `associate-*r/` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `distribute-lft-out` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

6.0ms	(* x (+ y z))
4.0ms	(+ (* z 5.0) (* x (+ y z)))
4.0ms	(pow (+ (* z 5.0) (* x (+ y z))) 3)
4.0ms	(cbrt (pow (+ (* z 5.0) (* x (+ y z))) 3))

series205.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* x (+ y z))
34.0ms	(+ (* z 5.0) (* x (+ y z)))
113.0ms	(pow (+ (* z 5.0) (* x (+ y z))) 3)
34.0ms	(cbrt (pow (+ (* z 5.0) (* x (+ y z))) 3))

simplify60.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	371	638
1	1855	592
2	5003	586

prune181.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

9.1b	(cbrt (sqrt (pow (+ (* z 5.0) (* x (+ y z))) 3)))
9.1b	(cbrt (sqrt (pow (+ (* z 5.0) (* x (+ y z))) 3)))
14.5b	(sqrt (pow (+ (* z 5.0) (* x (+ y z))) 3))
14.5b	(sqrt (pow (+ (* z 5.0) (* x (+ y z))) 3))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

48×	`sqrt-prod`
30×	`cbrt-prod`
24×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
14×	`unpow-prod-down` `cube-prod`
8×	`cube-div` `rem-sqrt-square` `sqrt-div`
6×	`sqr-pow`
4×	`pow1` `add-exp-log` `cube-mult` `cbrt-div` `flip3-+` `unpow3` `add-cbrt-cube` `flip-+` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 104

Calls

4 calls:

5.0ms	(cbrt (sqrt (pow (+ (* z 5.0) (* x (+ y z))) 3)))
6.0ms	(cbrt (sqrt (pow (+ (* z 5.0) (* x (+ y z))) 3)))
5.0ms	(sqrt (pow (+ (* z 5.0) (* x (+ y z))) 3))
5.0ms	(sqrt (pow (+ (* z 5.0) (* x (+ y z))) 3))

series1.6s

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt (sqrt (pow (+ (* z 5.0) (* x (+ y z))) 3)))
137.0ms	(cbrt (sqrt (pow (+ (* z 5.0) (* x (+ y z))) 3)))
683.0ms	(sqrt (pow (+ (* z 5.0) (* x (+ y z))) 3))
674.0ms	(sqrt (pow (+ (* z 5.0) (* x (+ y z))) 3))

simplify54.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	281	1266
1	1077	1182
2	5002	1170

prune314.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes84.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b 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

sample465.0ms

Algorithm

intervals

Results

235.0ms	9847×	body	80	valid
13.0ms	122×	body	1280	valid
9.0ms	106×	body	640	valid
4.0ms	64×	body	320	valid
1.0ms	34×	body	160	valid