Details

sample24.0ms

Algorithm

intervals

Results

11.0ms	260×	body	80	valid
1.0ms	5×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	4×	body	160	valid
0.0ms	1×	body	1280	valid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	54	8
1	141	8
2	325	8
3	964	8
4	3472	8
5	5002	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: 5.5b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
5.3b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

18×	`frac-sub`
13×	`tanh-def`
11×	`associate-*r/`
8×	`pow1` `add-exp-log` `add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube`
5×	`associate-r` `add-log-exp`
4×	`add-cube-cbrt`
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

3 → 68

Calls

3 calls:

2.0ms	(tanh (/ x y))
7.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
12.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series519.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(tanh (/ x y))
247.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
181.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify66.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	509	961
1	2358	906
2	5001	906

prune232.0ms

Filtered

77 candidates to 59 candidates (76.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	74	3	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	4	78

Merged error: 1.9b

Counts

78 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.0b	(tanh (/ x y))
1.5b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
2.8b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

7.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
2.0ms	(tanh (/ x y))
10.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
13.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series765.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
93.0ms	(tanh (/ x y))
239.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
171.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify71.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	553	1404
1	2407	1324
2	5001	1324

prune335.0ms

Filtered

117 candidates to 85 candidates (72.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	113	4	117
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	115	6	121

Merged error: 1.7b

Counts

121 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

5.3b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
7.3b	(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
7.3b	(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
7.3b	(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

13.0ms	(* (* 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)))))

series1.6s

Counts

4 → 12

Calls

4 calls:

181.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
425.0ms	(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
578.0ms	(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
433.0ms	(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))

simplify75.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	563	1952
1	2366	1856
2	5001	1838

prune514.0ms

Filtered

107 candidates to 91 candidates (85.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	107	6	113

Merged error: 1.7b

Counts

113 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

1.5b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.5b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
5.0b	(sqrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
5.0b	(sqrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 114

Calls

4 calls:

15.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
11.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
9.0ms	(sqrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
9.0ms	(sqrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series2.9s

Counts

4 → 12

Calls

4 calls:

247.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
243.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.2s	(sqrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
1.2s	(sqrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify69.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	491	1776
1	1963	1700
2	5002	1700

prune504.0ms

Filtered

126 candidates to 100 candidates (79.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	126	6	132

Merged error: 1.7b

Counts

132 → 6

regimes168.0ms

Accuracy

20.2% (2.7b remaining)

Error of 3.7b against oracle of 1.0b and baseline of 4.4b

bsearch2.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	21
1	34	21
2	45	21
3	48	21
4	48	21

end0.0ms

sample605.0ms

Algorithm

intervals

Results

345.0ms	8277×	body	80	valid
19.0ms	118×	body	640	valid
12.0ms	41×	body	1280	valid
8.0ms	66×	body	320	valid
3.0ms	39×	body	160	valid