Details

sample2.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 1.745605%

Guaranteed chance to sample good point: 69.971425%

Results

13.0ms	245×	body	80	valid
1.0ms	16×	body	80	invalid
1.0ms	5×	body	320	valid
1.0ms	2×	body	1280	valid
1.0ms	3×	body	640	valid
0.0ms	1×	body	160	valid

simplify75.0ms

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: 2.6b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.0b	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
3.7b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

6.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
3.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
11.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series255.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
111.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
69.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify71.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	581	1071
1	2656	1014
2	5001	1014

prune126.0ms

Filtered

61 candidates to 82 candidates (-34.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	76	6	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	6	83

Merged error: 0.5b

Counts

83 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.0b	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
0.3b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
4.7b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 114

Calls

4 calls:

7.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
4.0ms	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
10.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
12.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series345.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
112.0ms	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
89.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
68.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify77.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	628	1534
1	2721	1452
2	5001	1452

prune166.0ms

Filtered

89 candidates to 126 candidates (-41.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	123	3	126
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	125	7	132

Merged error: 0.5b

Counts

132 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

4.7b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
8.0b	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
8.0b	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
8.0b	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite51.0ms

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:

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

series532.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
152.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
154.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
158.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify64.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (45.0ms)

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

prune202.0ms

Filtered

90 candidates to 109 candidates (-21.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	109	7	116

Merged error: 0.5b

Counts

116 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (+ (* (* y z) (tanh (/ t y))) (* (* y z) (neg (tanh (/ x y))))))
0.0b	(+ (* (* y z) (tanh (/ t y))) (* (* y z) (neg (tanh (/ x y)))))
5.3b	(* (* y z) (tanh (/ t y)))
5.8b	(* (* y z) (neg (tanh (/ x y))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

6.0ms	(+ x (+ (* (* y z) (tanh (/ t y))) (* (* y z) (neg (tanh (/ x y))))))
9.0ms	(+ (* (* y z) (tanh (/ t y))) (* (* y z) (neg (tanh (/ x y)))))
6.0ms	(* (* y z) (tanh (/ t y)))
7.0ms	(* (* y z) (neg (tanh (/ x y))))

series243.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(+ x (+ (* (* y z) (tanh (/ t y))) (* (* y z) (neg (tanh (/ x y))))))
65.0ms	(+ (* (* y z) (tanh (/ t y))) (* (* y z) (neg (tanh (/ x y)))))
29.0ms	(* (* y z) (tanh (/ t y)))
35.0ms	(* (* y z) (neg (tanh (/ x y))))

simplify106.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (95.0ms)

Iter	Nodes	Cost
0	682	1069
1	3483	986
2	5001	985

prune100.0ms

Filtered

74 candidates to 101 candidates (-36.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	103	5	108

Merged error: 0.2b

Counts

108 → 5

regimes236.0ms

Accuracy

0% (1.8b remaining)

Error of 2.3b against oracle of 0.6b and baseline of 2.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	27
1	19	27

end0.0ms

sample2.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 1.745605%

Guaranteed chance to sample good point: 69.971425%

Results

443.0ms	7784×	body	80	valid
28.0ms	425×	body	80	invalid
17.0ms	82×	body	640	valid
17.0ms	42×	body	1280	valid
9.0ms	60×	body	320	valid
4.0ms	32×	body	160	valid

Details

sample2.0s

simplify75.0ms

prune4.0ms

localize11.0ms

rewrite23.0ms

series255.0ms

simplify71.0ms

prune126.0ms

localize11.0ms

rewrite37.0ms

series345.0ms

simplify77.0ms

prune166.0ms

localize20.0ms

rewrite51.0ms

series532.0ms

simplify64.0ms

prune202.0ms

localize13.0ms

rewrite30.0ms

series243.0ms

simplify106.0ms

prune100.0ms

regimes236.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.8s

Profiling