Details

analyze815.0ms

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

sample26.0ms

Algorithm

intervals

Results

12.0ms	251×	body	80	valid
1.0ms	17×	body	80	invalid
1.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4907	15
1	4907	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: 0.9b

Counts

2 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
0.0b	(tanh (/ t y))
0.4b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.3b	(* 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:

3.0ms	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
2.0ms	(tanh (/ t y))
10.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
11.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series302.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
27.0ms	(tanh (/ t y))
90.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
70.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify52.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4963	1843
1	4963	1843

prune168.0ms

Filtered

79 candidates to 103 candidates (-30.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	97	6	103
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	98	7	105

Merged error: 0.4b

Counts

105 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.8b	(* z (tanh (/ t y)))
1.5b	(* z (neg (tanh (/ x y))))
4.8b	(* y (* z (neg (tanh (/ x y)))))
5.6b	(* y (* z (tanh (/ t y))))

rewrite27.0ms

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:

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

series131.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* z (tanh (/ t y)))
34.0ms	(* z (neg (tanh (/ x y))))
35.0ms	(* y (* z (neg (tanh (/ x y)))))
30.0ms	(* y (* z (tanh (/ t y))))

simplify45.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5026	864

prune108.0ms

Filtered

75 candidates to 105 candidates (-40.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	107	5	112

Merged error: 0b

Counts

112 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.0b	(tanh (/ t y))
0.0b	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
4.6b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite27.0ms

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:

6.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
2.0ms	(tanh (/ t y))
3.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
13.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series284.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
27.0ms	(tanh (/ t y))
115.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
66.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify52.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4991	1864
1	4991	1864

prune124.0ms

Filtered

72 candidates to 90 candidates (-25.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	90	5	95

Merged error: 0b

Counts

95 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(+ (* z t) (* y (* z (neg (tanh (/ x y))))))
1.5b	(* z (neg (tanh (/ x y))))
4.8b	(* y (* z (neg (tanh (/ x y)))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

2.0ms	(tanh (/ x y))
3.0ms	(+ (* z t) (* y (* z (neg (tanh (/ x y))))))
6.0ms	(* z (neg (tanh (/ x y))))
7.0ms	(* y (* z (neg (tanh (/ x y)))))

series150.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(tanh (/ x y))
56.0ms	(+ (* z t) (* y (* z (neg (tanh (/ x y))))))
33.0ms	(* z (neg (tanh (/ x y))))
33.0ms	(* y (* z (neg (tanh (/ x y)))))

simplify46.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5088	801

prune83.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	86	4	90

Merged error: 0b

Counts

90 → 4

regimes299.0ms

Accuracy

0% (2.0b remaining)

Error of 2.2b against oracle of 0.1b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	20
1	33	20

end0.0ms

analyze803.0ms

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

sample664.0ms

Algorithm

intervals

Results

378.0ms	7764×	body	80	valid
26.0ms	550×	body	80	invalid
19.0ms	101×	body	640	valid
10.0ms	39×	body	1280	valid
7.0ms	53×	body	320	valid
4.0ms	43×	body	160	valid

Details

analyze815.0ms

sample26.0ms

simplify54.0ms

prune13.0ms

localize14.0ms

rewrite30.0ms

series302.0ms

simplify52.0ms

prune168.0ms

localize17.0ms

rewrite27.0ms

series131.0ms

simplify45.0ms

prune108.0ms

localize11.0ms

rewrite27.0ms

series284.0ms

simplify52.0ms

prune124.0ms

localize11.0ms

rewrite20.0ms

series150.0ms

simplify46.0ms

prune83.0ms

regimes299.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze803.0ms

sample664.0ms

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