Details

sample24.0ms

Algorithm

intervals

Results

11.0ms	263×	body	80	valid
0.0ms	4×	body	320	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	3×	body	160	valid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	54	8
1	146	7
2	337	7
3	1017	7
4	3659	7
5	5001	7

prune9.0ms

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: 0.9b

Counts

2 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.2b	(- (tanh (/ t y)) (tanh (/ x y)))
0.3b	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
0.7b	(* z (- (tanh (/ t y)) (tanh (/ x y))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

18×	`frac-sub`
13×	`tanh-def`
11×	`associate-*r/`
3×	`sub-neg`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `flip--`
1×	`*-commutative` `fma-udef`

Counts

4 → 33

Calls

4 calls:

2.0ms	(tanh (/ t y))
5.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
1.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
11.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))

series745.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(tanh (/ t y))
215.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
244.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
207.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))

simplify39.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	380	645
1	1364	644
2	5002	641

prune167.0ms

Filtered

45 candidates to 37 candidates (82.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	41	4	45
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	42	5	47

Merged error: 0.2b

Counts

47 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y)))))
0.3b	(fma y (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y))))) x)
2.1b	(* z (- (tanh (/ x y))))
2.1b	(* z (tanh (/ t y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate-*r/`
12×	`distribute-neg-frac`
9×	`frac-add`
8×	`tanh-def`
5×	`*-commutative`
3×	`distribute-rgt-neg-out`
2×	`fma-def`
1×	`+-commutative` `neg-mul-1` `distribute-rgt-out` `flip3-+` `associate-r` `unsub-neg` `flip-+` `fma-udef` `distribute-lft-out`

Counts

4 → 29

Calls

4 calls:

8.0ms	(+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y)))))
1.0ms	(fma y (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y))))) x)
3.0ms	(* z (- (tanh (/ x y))))
3.0ms	(* z (tanh (/ t y)))

series607.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y)))))
240.0ms	(fma y (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y))))) x)
86.0ms	(* z (- (tanh (/ x y))))
84.0ms	(* z (tanh (/ t y)))

simplify46.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	413	435
1	1578	424
2	5003	422

prune152.0ms

Filtered

41 candidates to 33 candidates (80.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	41	5	46

Merged error: 0.2b

Counts

46 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) x)
0.0b	(tanh (/ t y))
0.2b	(- (tanh (/ t y)) (tanh (/ x y)))
4.1b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

18×	`frac-sub`
13×	`tanh-def`
11×	`associate-*r/`
5×	`sub-neg`
4×	`distribute-rgt-in` `associate-+l+` `fma-def` `distribute-lft-in` `associate-l` `*-commutative`
2×	`flip3--` `flip--`
1×	`+-commutative` `flip3-+` `flip-+`

Counts

4 → 45

Calls

4 calls:

10.0ms	(+ (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) x)
2.0ms	(tanh (/ t y))
5.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
8.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series681.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(+ (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) x)
79.0ms	(tanh (/ t y))
214.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
153.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify47.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	457	745
1	1753	742
2	5001	739

prune206.0ms

Filtered

57 candidates to 45 candidates (78.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	54	3	57
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	56	6	62

Merged error: 0.2b

Counts

62 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma z (* y (- (tanh (/ t y)) (tanh (/ x y)))) x)
0.0b	(tanh (/ t y))
0.2b	(- (tanh (/ t y)) (tanh (/ x y)))
1.6b	(* y (- (tanh (/ t y)) (tanh (/ x y))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

18×	`frac-sub`
13×	`tanh-def`
11×	`associate-*r/`
3×	`sub-neg`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `flip--`
1×	`*-commutative` `fma-udef`

Counts

4 → 33

Calls

4 calls:

1.0ms	(fma z (* y (- (tanh (/ t y)) (tanh (/ x y)))) x)
2.0ms	(tanh (/ t y))
5.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
7.0ms	(* y (- (tanh (/ t y)) (tanh (/ x y))))

series801.0ms

Counts

4 → 12

Calls

4 calls:

349.0ms	(fma z (* y (- (tanh (/ t y)) (tanh (/ x y)))) x)
79.0ms	(tanh (/ t y))
216.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
156.0ms	(* y (- (tanh (/ t y)) (tanh (/ x y))))

simplify39.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	377	642
1	1362	641
2	5002	638

prune153.0ms

Filtered

45 candidates to 36 candidates (80.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	47	4	51

Merged error: 0.2b

Counts

51 → 4

regimes97.0ms

Accuracy

0% (1.5b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

end0.0ms

sample665.0ms

Algorithm

intervals

Results

379.0ms	8278×	body	80	valid
15.0ms	92×	body	640	valid
10.0ms	74×	body	320	valid
9.0ms	39×	body	1280	valid
3.0ms	35×	body	160	valid