Details

sample56.0ms

Algorithm

intervals

Results

17.0ms	74×	body	1280	valid
9.0ms	46×	body	640	valid
8.0ms	30×	body	2560	valid
7.0ms	69×	body	80	valid
4.0ms	26×	body	320	valid
1.0ms	11×	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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.3b

localize8.0ms

Local error

Found 1 expressions with local error:

11.6b

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

rewrite21.0ms

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:

21.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify47.0ms

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

prune46.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) 1.0)
11.6b	(- (fma x y z) (+ z (+ (* x y) 1.0)))

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

series59.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ (* x y) 1.0)
36.0ms	(- (fma x y z) (+ z (+ (* x y) 1.0)))

simplify55.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	169	220
1	538	204
2	2318	203
3	5003	203

prune96.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 31.8b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3)
1.7b	(cbrt (pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3))
2.3b	(- (fma x y z) z)
10.8b	(- (- (fma x y z) z) (+ (* x y) 1.0))

rewrite87.0ms

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:

32.0ms	(pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3)
27.0ms	(cbrt (pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3))
2.0ms	(- (fma x y z) z)
22.0ms	(- (- (fma x y z) z) (+ (* x y) 1.0))

series268.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3)
40.0ms	(cbrt (pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3))
18.0ms	(- (fma x y z) z)
36.0ms	(- (- (fma x y z) z) (+ (* x y) 1.0))

simplify79.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (64.0ms)

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

prune298.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 15.7b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3)
1.7b	(cbrt (pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3))
2.3b	(- (fma x y z) z)
11.1b	(- (- (fma x y z) z) (* x y))

rewrite174.0ms

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:

80.0ms	(pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3)
70.0ms	(cbrt (pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3))
2.0ms	(- (fma x y z) z)
19.0ms	(- (- (fma x y z) z) (* x y))

series261.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3)
40.0ms	(cbrt (pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3))
18.0ms	(- (fma x y z) z)
29.0ms	(- (- (fma x y z) z) (* x y))

simplify55.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (45.0ms)

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

prune205.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

end0.0ms

sample1.6s

Algorithm

intervals

Results

633.0ms	2659×	body	1280	valid
295.0ms	1511×	body	640	valid
190.0ms	659×	body	2560	valid
139.0ms	2132×	body	80	valid
109.0ms	711×	body	320	valid
37.0ms	328×	body	160	valid