Details

sample36.0ms

Algorithm

intervals

Results

15.0ms	94×	body	1280	valid
5.0ms	47×	body	640	valid
3.0ms	20×	body	2560	valid
2.0ms	25×	body	320	valid
2.0ms	61×	body	80	valid
1.0ms	9×	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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 47.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
11.3b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 29

Calls

2 calls:

3.0ms	(+ (* x y) z)
22.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series64.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (* x y) z)
43.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify61.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	178	220
1	602	204
2	2697	203
3	5001	203

prune89.0ms

Filtered

35 candidates to 24 candidates (68.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 46.8b

localize12.0ms

Local error

Found 4 expressions with local error:

9.6b	(cbrt (+ (* x y) z))
9.6b	(cbrt (+ (* x y) z))
9.6b	(cbrt (+ (* x y) z))
36.7b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite14.0ms

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:

2.0ms	(cbrt (+ (* x y) z))
2.0ms	(cbrt (+ (* x y) z))
2.0ms	(cbrt (+ (* x y) z))
6.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

series360.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(cbrt (+ (* x y) z))
105.0ms	(cbrt (+ (* x y) z))
112.0ms	(cbrt (+ (* x y) z))
38.0ms	(- (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 (50.0ms)

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

prune283.0ms

Filtered

67 candidates to 59 candidates (88.1%)

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 46.6b

localize17.0ms

Local error

Found 4 expressions with local error:

9.6b	(cbrt (+ (* x y) z))
9.6b	(cbrt (+ (* x y) z))
9.6b	(cbrt (+ (* x y) z))
37.9b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

rewrite15.0ms

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:

2.0ms	(cbrt (+ (* x y) z))
2.0ms	(cbrt (+ (* x y) z))
2.0ms	(cbrt (+ (* x y) z))
6.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

series367.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(cbrt (+ (* x y) z))
108.0ms	(cbrt (+ (* x y) z))
109.0ms	(cbrt (+ (* x y) z))
43.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

simplify70.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (63.0ms)

Iter	Nodes	Cost
0	246	939
1	707	817
2	2552	734
3	5003	646

prune352.0ms

Filtered

67 candidates to 59 candidates (88.1%)

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 46.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ z (+ (* x y) 1.0))
11.3b	(- (fma x y z) (+ z (+ (* x y) 1.0)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

7.0ms	(+ z (+ (* x y) 1.0))
22.0ms	(- (fma x y z) (+ z (+ (* x y) 1.0)))

series78.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ z (+ (* x y) 1.0))
51.0ms	(- (fma x y z) (+ z (+ (* x y) 1.0)))

simplify60.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	163	239
1	539	228
2	2487	228
3	5002	228

prune82.0ms

Filtered

38 candidates to 24 candidates (63.2%)

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 33.2b

regimes246.0ms

Accuracy

0% (0.5b remaining)

Error of 30.9b against oracle of 30.4b and baseline of 30.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample928.0ms

Algorithm

intervals

Results

347.0ms	2643×	body	1280	valid
173.0ms	1600×	body	640	valid
104.0ms	625×	body	2560	valid
58.0ms	2068×	body	80	valid
55.0ms	712×	body	320	valid
19.0ms	352×	body	160	valid