Details

sample25.0ms

Algorithm

intervals

Results

12.0ms	259×	body	80	valid
1.0ms	7×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify78.0ms

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

prune3.0ms

Filtered

1 candidates to 0 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: 4.3b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.3b	(- (tanh (/ t y)) (tanh (/ x y)))
4.3b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite27.0ms

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

series704.0ms

Counts

3 → 9

Calls

3 calls:

326.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
221.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
156.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify72.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	581	1071
1	2656	1014
2	5002	1014

prune225.0ms

Filtered

82 candidates to 61 candidates (74.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	75	7	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	7	83

Merged error: 0.7b

Counts

83 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
0.3b	(- (tanh (/ t y)) (tanh (/ x y)))
0.6b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
2.9b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite40.0ms

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:

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

series926.0ms

Counts

4 → 12

Calls

4 calls:

336.0ms	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
219.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
214.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
156.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify75.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 1 (15.0ms)

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

prune319.0ms

Filtered

126 candidates to 89 candidates (70.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	126	7	133

Merged error: 0.2b

Counts

133 → 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))))))
0.2b	(+ (* (* y z) (tanh (/ t y))) (* (* y z) (neg (tanh (/ x y)))))
5.7b	(* (* y z) (neg (tanh (/ x y))))
6.9b	(* (* y z) (tanh (/ t y)))

rewrite32.0ms

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

series673.0ms

Counts

4 → 12

Calls

4 calls:

336.0ms	(+ x (+ (* (* y z) (tanh (/ t y))) (* (* y z) (neg (tanh (/ x y))))))
163.0ms	(+ (* (* y z) (tanh (/ t y))) (* (* y z) (neg (tanh (/ x y)))))
89.0ms	(* (* y z) (neg (tanh (/ x y))))
84.0ms	(* (* y z) (tanh (/ t y)))

simplify107.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	682	1069
1	3476	986
2	5001	985

prune250.0ms

Filtered

101 candidates to 74 candidates (73.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	101	7	108

Merged error: 0.1b

Counts

108 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

2.9b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
2.9b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
7.0b	(sqrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
7.0b	(sqrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

88×	`associate-*r/`
36×	`frac-sub`
26×	`pow1`
24×	`tanh-def`
22×	`sqrt-div`
16×	`distribute-rgt-in` `distribute-lft-in`
14×	`add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down`
8×	`sub-neg`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `sqrt-pow1` `associate-l*` `prod-exp` `cbrt-unprod`
4×	`flip3--` `flip--` `add-log-exp`
2×	`pow1/2` `associate-r` `sqrt-prod` `*-commutative`

Counts

4 → 120

Calls

4 calls:

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

series852.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
163.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
260.0ms	(sqrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
272.0ms	(sqrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify66.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	496	1894
1	1865	1790
2	5001	1790

prune417.0ms

Filtered

132 candidates to 90 candidates (68.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	132	7	139

Merged error: 0.1b

Counts

139 → 7

regimes118.0ms

Accuracy

0% (4.4b remaining)

Error of 4.7b against oracle of 0.2b and baseline of 4.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	11
1	25	11
2	32	11
3	32	11

end0.0ms

sample647.0ms

Algorithm

intervals

Results

382.0ms	8311×	body	80	valid
16.0ms	93×	body	640	valid
11.0ms	64×	body	320	valid
11.0ms	46×	body	1280	valid
2.0ms	27×	body	160	valid

Details

sample25.0ms

simplify78.0ms

prune3.0ms

localize11.0ms

rewrite27.0ms

series704.0ms

simplify72.0ms

prune225.0ms

localize11.0ms

rewrite40.0ms

series926.0ms

simplify75.0ms

prune319.0ms

localize13.0ms

rewrite32.0ms

series673.0ms

simplify107.0ms

prune250.0ms

localize13.0ms

rewrite53.0ms

series852.0ms

simplify66.0ms

prune417.0ms

regimes118.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample647.0ms

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