Details

sample33.0ms

Algorithm

intervals

Results

10.0ms	85×	body	1280	valid
5.0ms	51×	body	640	valid
2.0ms	16×	body	2560	valid
2.0ms	29×	body	320	valid
2.0ms	63×	body	80	valid
1.0ms	12×	body	160	valid

simplify28.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	5
1	43	5
2	91	5
3	194	5
4	321	5
5	579	5
6	1088	5
7	1305	5
8	1305	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (+ (* x y) z))
0.0b	(+ (* x y) z)
10.3b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`*-un-lft-identity`
7×	`sum-log`
5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `diff-log` `add-cbrt-cube`
2×	`+-commutative` `flip3-+` `flip-+` `distribute-lft-out` `distribute-lft-out--`
1×	`sub-neg` `associate-+r+` `flip3--` `flip--` `associate--r+` `difference-of-squares`

Counts

3 → 43

Calls

3 calls:

18.0ms	(+ 1.0 (+ (* x y) z))
7.0ms	(+ (* x y) z)
51.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series77.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+ 1.0 (+ (* x y) z))
19.0ms	(+ (* x y) z)
35.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify81.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	223	293
1	768	282
2	3261	281
3	5002	281

prune124.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 45.6b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) z)
10.3b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
10.3b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
10.3b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-log-exp`
19×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `sum-log`
9×	`diff-log`
6×	`distribute-lft-out--`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`sub-neg` `flip3--` `flip--` `distribute-lft-out` `associate--r+` `difference-of-squares`
1×	`+-commutative` `flip3-+` `flip-+`

Counts

4 → 65

Calls

4 calls:

8.0ms	(+ (* x y) z)
47.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
48.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
50.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series122.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(+ (* x y) z)
37.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
33.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
34.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify64.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	178	546
1	602	508
2	2697	507
3	5001	507

prune219.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 45.6b

localize12.0ms

Local error

Found 4 expressions with local error:

7.5b	(cbrt (+ (* x y) z))
7.5b	(cbrt (+ (* x y) z))
7.5b	(cbrt (+ (* x y) z))
32.3b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3-+` `pow1/3` `flip-+`
2×	`diff-log`
1×	`sub-neg` `flip3--` `sum-log` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 55

Calls

4 calls:

5.0ms	(cbrt (+ (* x y) z))
5.0ms	(cbrt (+ (* x y) z))
6.0ms	(cbrt (+ (* x y) z))
13.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

series335.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(cbrt (+ (* x y) z))
100.0ms	(cbrt (+ (* x y) z))
101.0ms	(cbrt (+ (* x y) z))
37.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

simplify56.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	238	686
1	653	594
2	2161	559
3	5002	523

prune274.0ms

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 45.5b

localize18.0ms

Local error

Found 4 expressions with local error:

7.5b	(cbrt (+ (* x y) z))
7.5b	(cbrt (+ (* x y) z))
7.5b	(cbrt (+ (* x y) z))
33.8b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z))))) (cbrt (+ (* x y) z)))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3-+` `pow1/3` `flip-+`
2×	`diff-log`
1×	`sub-neg` `flip3--` `sum-log` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 55

Calls

4 calls:

5.0ms	(cbrt (+ (* x y) z))
5.0ms	(cbrt (+ (* x y) z))
5.0ms	(cbrt (+ (* x y) z))
14.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z))))) (cbrt (+ (* x y) z)))))

series335.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(cbrt (+ (* x y) z))
100.0ms	(cbrt (+ (* x y) z))
98.0ms	(cbrt (+ (* x y) z))
38.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z))))) (cbrt (+ (* x y) z)))))

simplify70.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	247	916
1	678	846
2	2433	828
3	5002	825

prune267.0ms

Pruning

24 alts after pruning (21 fresh and 3 done)

Merged error: 45.4b

regimes420.0ms

Accuracy

0% (0.7b remaining)

Error of 45.0b against oracle of 44.3b and baseline of 45.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	20
1	16	20

end0.0ms

sample932.0ms

Algorithm

intervals

Results

329.0ms	2650×	body	1280	valid
156.0ms	1611×	body	640	valid
83.0ms	559×	body	2560	valid
59.0ms	2115×	body	80	valid
51.0ms	708×	body	320	valid
18.0ms	357×	body	160	valid