Details

sample130.0ms

Algorithm

intervals

Results

51.0ms	805×	body	80	nan
23.0ms	293×	body	80	valid
0.0ms	1×	body	320	valid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	39	10
1	111	8
2	464	8
3	1654	8
4	5001	8

prune11.0ms

Filtered

1 candidates to 1 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: 0.1b

Counts

2 → 2

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (fma x (log y) z) (+ t a))
0.1b	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
0.1b	(fma x (log y) z)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`fma-udef`
2×	`+-commutative` `associate-+r+`
1×	`associate-+l+` `flip3-+` `flip-+`

Counts

3 → 8

Calls

3 calls:

3.0ms	(+ (fma x (log y) z) (+ t a))
1.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
1.0ms	(fma x (log y) z)

series456.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(+ (fma x (log y) z) (+ t a))
327.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
52.0ms	(fma x (log y) z)

simplify35.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	133	76
1	407	72
2	1393	68
3	5002	64

prune59.0ms

Filtered

17 candidates to 12 candidates (70.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	17	2	19

Merged error: 0.1b

Counts

19 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* x (log y)) z) t)
0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.2b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

14×	`associate-+l+`
6×	`+-commutative` `associate-*l/`
4×	`flip3-+` `frac-add` `flip-+`
3×	`flip3--` `flip--`
2×	`*-commutative`

Counts

4 → 22

Calls

4 calls:

5.0ms	(+ (+ (* x (log y)) z) t)
10.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
3.0ms	(* (- b 0.5) (log c))
3.0ms	(* x (log y))

series383.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ (+ (* x (log y)) z) t)
248.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
52.0ms	(* (- b 0.5) (log c))
38.0ms	(* x (log y))

simplify45.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	435	378
1	1772	344
2	5001	333

prune166.0ms

Filtered

34 candidates to 29 candidates (85.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	33	3	36

Merged error: 0.1b

Counts

36 → 3

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (+ (fma x (log y) z) (- t a)) (- (* b b) (* 0.5 0.5))) (log c))
5.8b	(fma (fma x (log y) (+ t z)) (fma x (log y) (+ t z)) (- (* a a)))
12.7b	(fma (+ b 0.5) (fma (fma x (log y) (+ t z)) (fma x (log y) (+ t z)) (- (* a a))) (* (* (+ (fma x (log y) z) (- t a)) (- (* b b) (* 0.5 0.5))) (log c)))
50.1b	(/ (fma (+ b 0.5) (fma (fma x (log y) (+ t z)) (fma x (log y) (+ t z)) (- (* a a))) (* (* (+ (fma x (log y) z) (- t a)) (- (* b b) (* 0.5 0.5))) (log c))) (* (+ b 0.5) (+ (fma x (log y) z) (- t a))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-*l/`
9×	`flip3-+` `flip-+`
8×	`frac-times` `associate-/r/`
7×	`*-commutative`
6×	`associate-l`
4×	`associate-r/` `associate-r*` `difference-of-squares`
3×	`flip3--` `flip--`
2×	`associate-/r*` `fma-udef`
1×	`frac-2neg` `clear-num` `div-inv`

Counts

4 → 30

Calls

4 calls:

10.0ms	(* (* (+ (fma x (log y) z) (- t a)) (- (* b b) (* 0.5 0.5))) (log c))
1.0ms	(fma (fma x (log y) (+ t z)) (fma x (log y) (+ t z)) (- (* a a)))
1.0ms	(fma (+ b 0.5) (fma (fma x (log y) (+ t z)) (fma x (log y) (+ t z)) (- (* a a))) (* (* (+ (fma x (log y) z) (- t a)) (- (* b b) (* 0.5 0.5))) (log c)))
5.0ms	(/ (fma (+ b 0.5) (fma (fma x (log y) (+ t z)) (fma x (log y) (+ t z)) (- (* a a))) (* (* (+ (fma x (log y) z) (- t a)) (- (* b b) (* 0.5 0.5))) (log c))) (* (+ b 0.5) (+ (fma x (log y) z) (- t a))))

series9.1s

Counts

4 → 12

Calls

4 calls:

361.0ms	(* (* (+ (fma x (log y) z) (- t a)) (- (* b b) (* 0.5 0.5))) (log c))
716.0ms	(fma (fma x (log y) (+ t z)) (fma x (log y) (+ t z)) (- (* a a)))
2.6s	(fma (+ b 0.5) (fma (fma x (log y) (+ t z)) (fma x (log y) (+ t z)) (- (* a a))) (* (* (+ (fma x (log y) z) (- t a)) (- (* b b) (* 0.5 0.5))) (log c)))
5.4s	(/ (fma (+ b 0.5) (fma (fma x (log y) (+ t z)) (fma x (log y) (+ t z)) (- (* a a))) (* (* (+ (fma x (log y) z) (- t a)) (- (* b b) (* 0.5 0.5))) (log c))) (* (+ b 0.5) (+ (fma x (log y) z) (- t a))))

simplify51.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	487	664
1	1858	644
2	5001	636

prune288.0ms

Filtered

42 candidates to 37 candidates (88.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	42	3	45

Merged error: 0.1b

Counts

45 → 3

regimes389.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	8
1	19	8

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.8s	27584×	body	80	nan
662.0ms	9166×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	320	valid