Details

sample30.0ms

Algorithm

intervals

Results

13.0ms	263×	body	80	valid
1.0ms	3×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	160	valid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	54	8
1	141	8
2	325	8
3	979	8
4	3700	8
5	5001	8

prune4.0ms

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: 4.8b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

2.0ms	(tanh (/ x y))
6.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
2.0ms	(tanh (/ t y))
12.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series198.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(tanh (/ x y))
75.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
27.0ms	(tanh (/ t y))
69.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify61.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	512	1026
1	2380	971
2	5001	971

prune136.0ms

Filtered

71 candidates to 90 candidates (-26.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	86	4	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	86	5	91

Merged error: 2.2b

Counts

91 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(tanh (/ t y))
1.0b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.8b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

2.0ms	(tanh (/ x y))
2.0ms	(tanh (/ t y))
9.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
12.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series212.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(tanh (/ x y))
26.0ms	(tanh (/ t y))
89.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
68.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify55.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	470	1039
1	2128	970
2	5003	970

prune145.0ms

Filtered

75 candidates to 104 candidates (-38.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	101	3	104
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	103	6	109

Merged error: 2.2b

Counts

109 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
2.0b	(* z (tanh (/ t y)))
2.1b	(* z (neg (tanh (/ x y))))
3.8b	(* y (+ (* z (tanh (/ t y))) (* z (neg (tanh (/ x y))))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

35×	`associate-*r/`
18×	`add-sqr-sqrt`
17×	`associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity` `distribute-neg-frac`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`associate-l` `frac-add` `tanh-def`
4×	`add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-rgt-in` `neg-mul-1` `distribute-lft-in` `flip3-+` `distribute-rgt-neg-out` `flip-+` `distribute-lft-out`

Counts

4 → 92

Calls

4 calls:

2.0ms	(tanh (/ t y))
5.0ms	(* z (tanh (/ t y)))
6.0ms	(* z (neg (tanh (/ x y))))
10.0ms	(* y (+ (* z (tanh (/ t y))) (* z (neg (tanh (/ x y))))))

series168.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(tanh (/ t y))
33.0ms	(* z (tanh (/ t y)))
32.0ms	(* z (neg (tanh (/ x y))))
75.0ms	(* y (+ (* z (tanh (/ t y))) (* z (neg (tanh (/ x y))))))

simplify80.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	610	834
1	3198	775
2	5002	774

prune129.0ms

Filtered

83 candidates to 104 candidates (-25.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	103	7	110

Merged error: 1.2b

Counts

110 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

3.8b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
7.7b	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
7.7b	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
7.7b	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

88×	`associate-*r/`
36×	`frac-sub`
33×	`cbrt-div`
24×	`tanh-def`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`distribute-rgt-in` `distribute-lft-in`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`sub-neg` `flip3--` `flip--` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 97

Calls

4 calls:

11.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
10.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
11.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
12.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

series526.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
151.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
153.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
155.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify61.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	561	1984
1	2028	1888
2	5002	1876

prune183.0ms

Filtered

90 candidates to 109 candidates (-21.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	109	7	116

Merged error: 1.2b

Counts

116 → 7

regimes361.0ms

Accuracy

0% (0.9b remaining)

Error of 2.0b against oracle of 1.0b and baseline of 2.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	10
1	25	10
2	26	10
3	26	10

end0.0ms

sample837.0ms

Algorithm

intervals

Results

405.0ms	8306×	body	80	valid
20.0ms	104×	body	640	valid
15.0ms	56×	body	1280	valid
8.0ms	60×	body	320	valid
4.0ms	39×	body	160	valid

Details

sample30.0ms

simplify76.0ms

prune4.0ms

localize15.0ms

rewrite24.0ms

series198.0ms

simplify61.0ms

prune136.0ms

localize11.0ms

rewrite28.0ms

series212.0ms

simplify55.0ms

prune145.0ms

localize16.0ms

rewrite25.0ms

series168.0ms

simplify80.0ms

prune129.0ms

localize16.0ms

rewrite49.0ms

series526.0ms

simplify61.0ms

prune183.0ms

regimes361.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample837.0ms

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