Details

sample42.0ms

Algorithm

intervals

Results

13.0ms	88×	body	1280	valid
6.0ms	53×	body	640	valid
3.0ms	19×	body	2560	valid
2.0ms	65×	body	80	valid
2.0ms	19×	body	320	valid
1.0ms	12×	body	160	valid

simplify26.0ms

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

prune7.0ms

Filtered

1 candidates to 0 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 44.9b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

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

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

series16.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ 1.0 (+ (* x y) z))
10.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify60.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	169	241
1	611	230
2	2945	230
3	5002	230

prune100.0ms

Filtered

38 candidates to 26 candidates (31.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	31	7	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	8	39

Merged error: 44.5b

Counts

39 → 8

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (+ (* x y) z) (+ (* x y) z))
10.8b	(- (fma x y z) (/ (- (* 1.0 1.0) (* (+ (* x y) z) (+ (* x y) z))) (- 1.0 (+ (* x y) z))))
28.6b	(/ (- (* 1.0 1.0) (* (+ (* x y) z) (+ (* x y) z))) (- 1.0 (+ (* x y) z)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
21×	`times-frac`
18×	`add-cube-cbrt`
13×	`difference-of-squares`
10×	`pow1`
7×	`add-exp-log` `add-cbrt-cube`
6×	`flip3-+` `flip-+` `distribute-lft-out--`
5×	`associate-/r*` `add-log-exp`
4×	`frac-times` `associate-/l*`
3×	`flip3--` `swap-sqr` `associate-r` `associate-l` `flip--`
2×	`div-sub` `associate-r/` `associate-l/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `pow-plus` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `div-inv` `associate--r-` `unswap-sqr`

Counts

3 → 97

Calls

3 calls:

9.0ms	(* (+ (* x y) z) (+ (* x y) z))
13.0ms	(- (fma x y z) (/ (- (* 1.0 1.0) (* (+ (* x y) z) (+ (* x y) z))) (- 1.0 (+ (* x y) z))))
10.0ms	(/ (- (* 1.0 1.0) (* (+ (* x y) z) (+ (* x y) z))) (- 1.0 (+ (* x y) z)))

series98.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(* (+ (* x y) z) (+ (* x y) z))
62.0ms	(- (fma x y z) (/ (- (* 1.0 1.0) (* (+ (* x y) z) (+ (* x y) z))) (- 1.0 (+ (* x y) z))))
28.0ms	(/ (- (* 1.0 1.0) (* (+ (* x y) z) (+ (* x y) z))) (- 1.0 (+ (* x y) z)))

simplify79.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	523	1402
1	2454	1259
2	5001	1211

prune518.0ms

Filtered

106 candidates to 75 candidates (29.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	6	0	6
Picked	1	0	1
Done	1	0	1
Total	113	1	114

Merged error: 8.0b

Counts

114 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

7.9b	(- (fma x y z) (* 1.0 (+ (* x y) z)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`associate--r+`
1×	`pow1` `add-exp-log` `distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `distribute-lft-in` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 14

Calls

1 calls:

3.0ms

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

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

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

simplify46.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	99	133
1	340	122
2	1973	122
3	5001	122

prune32.0ms

Filtered

17 candidates to 12 candidates (29.4%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	1	18

Merged error: 8.0b

Counts

18 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	6
1	13	6

end0.0ms

sample1.1s

Algorithm

intervals

Results

391.0ms	2645×	body	1280	valid
192.0ms	1631×	body	640	valid
116.0ms	621×	body	2560	valid
68.0ms	2067×	body	80	valid
58.0ms	652×	body	320	valid
23.0ms	384×	body	160	valid

Details

sample42.0ms

simplify26.0ms

prune7.0ms

localize8.0ms

rewrite13.0ms

series16.0ms

simplify60.0ms

prune100.0ms

localize12.0ms

rewrite34.0ms

series98.0ms

simplify79.0ms

prune518.0ms

localize8.0ms

rewrite3.0ms

series10.0ms

simplify46.0ms

prune32.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling