Details

sample33.0ms

Algorithm

intervals

Results

10.0ms	81×	body	1280	valid
6.0ms	57×	body	640	valid
3.0ms	17×	body	2560	valid
2.0ms	72×	body	80	valid
1.0ms	18×	body	320	valid
1.0ms	11×	body	160	valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

Filtered

1 candidates to 0 candidates (0.0%)

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: 43.9b

Counts

2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
9.1b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

7.0ms	(+ (* x y) z)
13.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series67.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ (* x y) z)
41.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify74.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	185	245
1	584	229
2	2407	228
3	5002	228

prune62.0ms

Filtered

42 candidates to 27 candidates (64.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	2	43

Merged error: 7.1b

Counts

43 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
6.9b	(- (fma x y z) (+ (* x y) z))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

7.0ms	(+ (* x y) z)
9.0ms	(- (fma x y z) (+ (* x y) z))

series58.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (* x y) z)
35.0ms	(- (fma x y z) (+ (* x y) z))

simplify153.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	143	193
1	418	184
2	1262	183
3	4892	183
4	5001	183

prune54.0ms

Filtered

38 candidates to 24 candidates (63.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	38	2	40

Merged error: 7.1b

Counts

40 → 2

localize8.0ms

Local error

Found 1 expressions with local error:

8.9b	(- (fma x y z) (* x y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 16

Calls

1 calls:

6.0ms

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

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify174.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	82	109
1	198	102
2	532	102
3	1333	102
4	4568	102
5	5001	102

prune29.0ms

Filtered

19 candidates to 12 candidates (63.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	18	1	19
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	19	2	21

Merged error: 7.1b

Counts

21 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x y) (* x y))
1.8b	(- (/ (- (* (fma x y z) (fma x y z)) (* (* x y) (* x y))) (+ (fma x y z) (* x y))) z)
16.0b	(/ (- (* (fma x y z) (fma x y z)) (* (* x y) (* x y))) (+ (fma x y z) (* x y)))
16.9b	(- (* (fma x y z) (fma x y z)) (* (* x y) (* x y)))

rewrite298.0ms

Algorithm

rewrite-expression-head

Rules

1086×	`add-sqr-sqrt`
519×	`*-un-lft-identity`
425×	`unswap-sqr`
317×	`difference-of-squares`
291×	`times-frac`
203×	`swap-sqr`
176×	`associate-l`
118×	`distribute-lft-out`
103×	`*-commutative`
81×	`add-cube-cbrt`
71×	`distribute-lft-out--`
58×	`associate-/l*`
43×	`pow1`
24×	`associate-r`
18×	`add-exp-log` `add-cbrt-cube`
17×	`pow-prod-down`
8×	`prod-exp` `cbrt-unprod` `add-log-exp`
5×	`associate-/r*`
4×	`pow-sqr` `pow-prod-up`
3×	`flip3--` `flip--`
2×	`sub-neg` `pow-plus` `diff-log` `div-sub` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `associate--l-` `pow2` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 526

Calls

4 calls:

15.0ms	(* (* x y) (* x y))
139.0ms	(- (/ (- (* (fma x y z) (fma x y z)) (* (* x y) (* x y))) (+ (fma x y z) (* x y))) z)
60.0ms	(/ (- (* (fma x y z) (fma x y z)) (* (* x y) (* x y))) (+ (fma x y z) (* x y)))
39.0ms	(- (* (fma x y z) (fma x y z)) (* (* x y) (* x y)))

series201.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* x y) (* x y))
70.0ms	(- (/ (- (* (fma x y z) (fma x y z)) (* (* x y) (* x y))) (+ (fma x y z) (* x y))) z)
56.0ms	(/ (- (* (fma x y z) (fma x y z)) (* (* x y) (* x y))) (+ (fma x y z) (* x y)))
39.0ms	(- (* (fma x y z) (fma x y z)) (* (* x y) (* x y)))

simplify228.0ms

Algorithm

egg-herbie

Counts

538 → 538

Iterations

Useful iterations: 2 (146.0ms)

Iter	Nodes	Cost
0	861	6980
1	4095	6763
2	5001	6755

prune366.0ms

Filtered

538 candidates to 133 candidates (24.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	537	1	538
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	538	2	540

Merged error: 7.1b

Counts

540 → 2

regimes45.0ms

Accuracy

0% (0.0b remaining)

Error of 7.8b against oracle of 7.8b and baseline of 7.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample939.0ms

Algorithm

intervals

Results

358.0ms	2603×	body	1280	valid
172.0ms	1670×	body	640	valid
91.0ms	578×	body	2560	valid
60.0ms	2064×	body	80	valid
55.0ms	717×	body	320	valid
22.0ms	368×	body	160	valid