Details

analyze791.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
7.8%	92%	0.2%	8
7.8%	92%	0.2%	9
10.9%	88.9%	0.2%	10
34.7%	65.1%	0.2%	11
43.1%	56.7%	0.2%	12
44.2%	55.7%	0.2%	13
49.5%	50.3%	0.2%	14

sample25.0ms

Algorithm

intervals

Results

12.0ms	251×	body	80	valid
1.0ms	18×	body	80	invalid
1.0ms	3×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify28.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5059	15

prune13.0ms

Filtered

1 candidates to 1 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: 1.7b

Counts

2 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
1.2b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
2.3b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

33×	`associate-*r/`
18×	`frac-sub`
13×	`tanh-def-c` `tanh-def-b` `tanh-def-a`
11×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
10×	`sub-neg`
9×	`distribute-rgt-in` `*-un-lft-identity` `distribute-lft-in`
7×	`add-cube-cbrt`
6×	`associate-r` `associate-l` `add-log-exp`
4×	`associate-+r+` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

2.0ms	(tanh (/ x y))
4.0ms	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
10.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
11.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series293.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(tanh (/ x y))
111.0ms	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
88.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
67.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify44.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5004	1847

prune161.0ms

Filtered

79 candidates to 103 candidates (-30.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	96	7	103
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	97	8	105

Merged error: 0.9b

Counts

105 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

1.5b	(* z (neg (tanh (/ x y))))
2.4b	(* z (tanh (/ t y)))
4.3b	(* y (* z (tanh (/ t y))))
4.6b	(* y (* z (neg (tanh (/ x y)))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `associate-*r/` `add-cbrt-cube`
16×	`add-sqr-sqrt`
15×	`associate-r`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`distribute-neg-frac`
4×	`tanh-def-c` `*-commutative` `tanh-def-b` `add-log-exp` `tanh-def-a`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `distribute-rgt-neg-out`
2×	`unswap-sqr`
1×	`neg-mul-1`

Counts

4 → 93

Calls

4 calls:

6.0ms	(* z (neg (tanh (/ x y))))
5.0ms	(* z (tanh (/ t y)))
6.0ms	(* y (* z (tanh (/ t y))))
7.0ms	(* y (* z (neg (tanh (/ x y)))))

series127.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* z (neg (tanh (/ x y))))
32.0ms	(* z (tanh (/ t y)))
32.0ms	(* y (* z (tanh (/ t y))))
31.0ms	(* y (* z (neg (tanh (/ x y)))))

simplify46.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5058	858

prune110.0ms

Filtered

75 candidates to 105 candidates (-40.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	5	2	7
Picked	1	0	1
Done	0	0	0
Total	109	4	113

Merged error: 0.1b

Counts

113 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.0b	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
5.1b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

18×	`frac-sub`
13×	`tanh-def-c` `tanh-def-b` `tanh-def-a`
11×	`associate-*r/`
9×	`pow1` `add-exp-log` `add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube`
8×	`add-log-exp`
5×	`add-cube-cbrt` `sub-neg` `associate-r`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `associate-+r+` `flip3--` `distribute-lft-in` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `diff-log` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

4 → 78

Calls

4 calls:

2.0ms	(tanh (/ x y))
7.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
4.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
11.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series284.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(tanh (/ x y))
75.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
111.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
70.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify48.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4970	1872
1	4970	1872

prune120.0ms

Filtered

73 candidates to 90 candidates (-23.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	90	4	94

Merged error: 0.1b

Counts

94 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y (* z (tanh (/ t y)))) (* z (neg x)))
0.0b	(+ x (+ (* y (* z (tanh (/ t y)))) (* z (neg x))))
2.4b	(* z (tanh (/ t y)))
4.3b	(* y (* z (tanh (/ t y))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
9×	`add-sqr-sqrt` `-un-lft-identity` `associate-r/`
7×	`add-cube-cbrt`
6×	`associate-l`
4×	`associate-r` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod`
2×	`+-commutative` `flip3-+` `tanh-def-c` `unsub-neg` `*-commutative` `distribute-rgt-neg-out` `flip-+` `tanh-def-b` `tanh-def-a`
1×	`associate-+r-` `associate-+r+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

7.0ms	(+ (* y (* z (tanh (/ t y)))) (* z (neg x)))
6.0ms	(+ x (+ (* y (* z (tanh (/ t y)))) (* z (neg x))))
5.0ms	(* z (tanh (/ t y)))
6.0ms	(* y (* z (tanh (/ t y))))

series159.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (* y (* z (tanh (/ t y)))) (* z (neg x)))
54.0ms	(+ x (+ (* y (* z (tanh (/ t y)))) (* z (neg x))))
32.0ms	(* z (tanh (/ t y)))
29.0ms	(* y (* z (tanh (/ t y))))

simplify38.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4983	822
1	4983	822

prune75.0ms

Filtered

61 candidates to 81 candidates (-32.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	81	4	85

Merged error: 0.0b

Counts

85 → 4

regimes319.0ms

Accuracy

86.1% (0.6b remaining)

Error of 0.8b against oracle of 0.2b and baseline of 4.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	65	61
1	65	61

end0.0ms

sample661.0ms

Algorithm

intervals

Results

366.0ms	7752×	body	80	valid
27.0ms	578×	body	80	invalid
21.0ms	102×	body	640	valid
11.0ms	64×	body	320	valid
9.0ms	39×	body	1280	valid
4.0ms	43×	body	160	valid
0.0ms	1×	body	160	invalid

Details

analyze791.0ms

sample25.0ms

simplify28.0ms

prune13.0ms

localize15.0ms

rewrite30.0ms

series293.0ms

simplify44.0ms

prune161.0ms

localize16.0ms

rewrite26.0ms

series127.0ms

simplify46.0ms

prune110.0ms

localize14.0ms

rewrite26.0ms

series284.0ms

simplify48.0ms

prune120.0ms

localize13.0ms

rewrite26.0ms

series159.0ms

simplify38.0ms

prune75.0ms

regimes319.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample661.0ms

Profiling