Details

sample31.0ms

Algorithm

intervals

Results

11.0ms	90×	body	1280	valid
4.0ms	39×	body	640	valid
2.0ms	16×	body	2560	valid
2.0ms	28×	body	320	valid
2.0ms	71×	body	80	valid
1.0ms	12×	body	160	valid

simplify29.0ms

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: 44.0b

localize8.0ms

Local error

Found 1 expressions with local error:

10.6b

(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 18

Calls

1 calls:

11.0ms

(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify46.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	115	163
1	404	152
2	2160	152
3	5001	152

prune45.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.0b

localize10.0ms

Local error

Found 1 expressions with local error:

10.6b

(- (fma x y z) (+ z (+ (* x y) 1.0)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 18

Calls

1 calls:

8.0ms

(- (fma x y z) (+ z (+ (* x y) 1.0)))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(- (fma x y z) (+ z (+ (* x y) 1.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	106	163
1	340	152
2	1784	152
3	5001	152

prune48.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 27.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3)
1.2b	(cbrt (pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3))
1.6b	(- (fma x y z) z)
9.6b	(- (- (fma x y z) z) (+ (* x y) 1.0))

rewrite36.0ms

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:

10.0ms	(pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3)
10.0ms	(cbrt (pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3))
3.0ms	(- (fma x y z) z)
9.0ms	(- (- (fma x y z) z) (+ (* x y) 1.0))

series273.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3)
37.0ms	(cbrt (pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3))
18.0ms	(- (fma x y z) z)
41.0ms	(- (- (fma x y z) z) (+ (* x y) 1.0))

simplify77.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	585	1297
1	2703	1242
2	5001	1231

prune279.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 11.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3)
1.2b	(cbrt (pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3))
1.6b	(- (fma x y z) z)
9.3b	(- (- (fma x y z) z) (* x y))

rewrite30.0ms

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:

9.0ms	(pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3)
9.0ms	(cbrt (pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3))
3.0ms	(- (fma x y z) z)
6.0ms	(- (- (fma x y z) z) (* x y))

series264.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3)
41.0ms	(cbrt (pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3))
19.0ms	(- (fma x y z) z)
29.0ms	(- (- (fma x y z) z) (* x y))

simplify57.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	430	820
1	1762	779
2	5001	773

prune206.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

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

sample906.0ms

Algorithm

intervals

Results

336.0ms	2585×	body	1280	valid
160.0ms	1582×	body	640	valid
101.0ms	641×	body	2560	valid
64.0ms	2084×	body	80	valid
59.0ms	747×	body	320	valid
18.0ms	361×	body	160	valid