Details

sample32.0ms

Algorithm

intervals

Results

8.0ms	67×	body	1280	valid
5.0ms	60×	body	640	valid
4.0ms	28×	body	2560	valid
2.0ms	67×	body	80	valid
2.0ms	23×	body	320	valid
1.0ms	11×	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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
12.6b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite56.0ms

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:

9.0ms	(+ (* x y) z)
46.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series63.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify57.0ms

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

prune85.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 44.8b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ z (+ (* x y) 1.0))
12.6b	(- (fma x y z) (+ z (+ (* x y) 1.0)))

rewrite66.0ms

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:

17.0ms	(+ z (+ (* x y) 1.0))
48.0ms	(- (fma x y z) (+ z (+ (* x y) 1.0)))

series67.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ z (+ (* x y) 1.0))
42.0ms	(- (fma x y z) (+ z (+ (* x y) 1.0)))

simplify56.0ms

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

prune103.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 30.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3)
1.4b	(cbrt (pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3))
2.1b	(- (fma x y z) z)
11.6b	(- (- (fma x y z) z) (+ (* x y) 1.0))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
18×	`cbrt-prod` `add-log-exp`
16×	`distribute-lft-out--`
12×	`cube-div` `unpow-prod-down` `cube-prod` `frac-sub`
10×	`add-cube-cbrt` `flip3--` `flip--`
7×	`diff-log`
6×	`cbrt-div` `flip3-+` `flip-+` `difference-of-squares`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`sub-neg` `pow-unpow`
2×	`cube-mult` `unpow3` `associate--l+` `sum-log` `sqr-pow`
1×	`associate--l-` `pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `associate--r+` `rem-cube-cbrt`

Counts

4 → 108

Calls

4 calls:

60.0ms	(pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3)
56.0ms	(cbrt (pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3))
5.0ms	(- (fma x y z) z)
49.0ms	(- (- (fma x y z) z) (+ (* x y) 1.0))

series291.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3)
43.0ms	(cbrt (pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3))
20.0ms	(- (fma x y z) z)
39.0ms	(- (- (fma x y z) z) (+ (* x y) 1.0))

simplify75.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	585	1293
1	2703	1240
2	5002	1231

prune280.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 15.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3)
1.4b	(cbrt (pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3))
2.1b	(- (fma x y z) z)
11.8b	(- (- (fma x y z) z) (* x y))

rewrite347.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`cbrt-prod`
11×	`add-log-exp`
10×	`add-cube-cbrt` `unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
4×	`cube-div` `flip3--` `diff-log` `flip--`
3×	`sub-neg` `pow-unpow`
2×	`cube-mult` `cbrt-div` `unpow3` `associate--l+` `sqr-pow`
1×	`associate--l-` `pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 86

Calls

4 calls:

164.0ms	(pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3)
137.0ms	(cbrt (pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3))
5.0ms	(- (fma x y z) z)
38.0ms	(- (- (fma x y z) z) (* x y))

series286.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3)
45.0ms	(cbrt (pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3))
21.0ms	(- (fma x y z) z)
33.0ms	(- (- (fma x y z) z) (* x y))

simplify52.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	430	824
1	1762	781
2	5002	773

prune194.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.5b

regimes44.0ms

Accuracy

0% (0.0b remaining)

Error of 8.0b against oracle of 7.9b and baseline of 8.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	8
1	26	8
2	26	8

end0.0ms

sample899.0ms

Algorithm

intervals

Results

317.0ms	2685×	body	1280	valid
145.0ms	1540×	body	640	valid
81.0ms	575×	body	2560	valid
53.0ms	2089×	body	80	valid
50.0ms	738×	body	320	valid
18.0ms	373×	body	160	valid