Details

sample35.0ms

Algorithm

intervals

Results

14.0ms	90×	body	1280	valid
5.0ms	48×	body	640	valid
2.0ms	73×	body	80	valid
2.0ms	13×	body	2560	valid
2.0ms	20×	body	320	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: 43.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
9.9b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite12.0ms

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:

4.0ms	(+ (* x y) z)
7.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series61.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ (* x y) z)
37.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify59.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (16.0ms)

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

prune86.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 42.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x y) (* x y))
3.2b	(- (* (* x y) (* x y)) (* z z))
11.5b	(- (fma x y z) (+ 1.0 (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))))
31.6b	(/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
18×	`add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
17×	`pow-prod-down`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
12×	`times-frac`
11×	`add-log-exp`
8×	`prod-exp` `cbrt-unprod`
6×	`difference-of-squares`
4×	`flip3--` `pow-sqr` `pow-prod-up` `flip--` `associate-/l*`
3×	`diff-log` `associate-/r*`
2×	`sub-neg` `pow-plus` `div-sub` `associate-/r/` `associate-/l/` `distribute-lft-out--`
1×	`cbrt-undiv` `pow2` `associate-+r-` `frac-2neg` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `sum-log` `*-commutative` `div-inv` `distribute-lft-out` `associate--r+` `associate--r-`

Counts

4 → 101

Calls

4 calls:

6.0ms	(* (* x y) (* x y))
6.0ms	(- (* (* x y) (* x y)) (* z z))
15.0ms	(- (fma x y z) (+ 1.0 (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))))
12.0ms	(/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))

series215.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* x y) (* x y))
61.0ms	(- (* (* x y) (* x y)) (* z z))
68.0ms	(- (fma x y z) (+ 1.0 (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))))
54.0ms	(/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))

simplify63.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	427	979
1	2002	820
2	5001	784

prune271.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 42.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ z (+ (* x y) 1.0))
9.9b	(- (fma x y z) (+ z (+ (* x y) 1.0)))

rewrite13.0ms

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:

5.0ms	(+ z (+ (* x y) 1.0))
7.0ms	(- (fma x y z) (+ z (+ (* x y) 1.0)))

series63.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ z (+ (* x y) 1.0))
40.0ms	(- (fma x y z) (+ z (+ (* x y) 1.0)))

simplify58.0ms

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

prune115.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 28.9b

localize8.0ms

Local error

Found 2 expressions with local error:

1.2b	(- (fma x y z) z)
9.1b	(- (- (fma x y z) z) (+ (* x y) 1.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

3.0ms	(- (fma x y z) z)
9.0ms	(- (- (fma x y z) z) (+ (* x y) 1.0))

series58.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(- (fma x y z) z)
40.0ms	(- (- (fma x y z) z) (+ (* x y) 1.0))

simplify36.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	275	373
1	1133	361
2	5001	349

prune103.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 13.5b

regimes111.0ms

Accuracy

0% (0.1b remaining)

Error of 15.1b against oracle of 15.0b and baseline of 15.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample921.0ms

Algorithm

intervals

Results

340.0ms	2612×	body	1280	valid
169.0ms	1618×	body	640	valid
97.0ms	616×	body	2560	valid
59.0ms	2060×	body	80	valid
57.0ms	738×	body	320	valid
19.0ms	356×	body	160	valid