Details

sample22.0ms

Algorithm

intervals

Results

10.0ms	266×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid
0.0ms	1×	body	320	valid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	54	8
1	146	7
2	337	7
3	1017	7
4	3659	7
5	5001	7

prune9.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 2.1b

Counts

2 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
1.1b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.2b	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
27×	`prod-diff`
25×	`add-cube-cbrt`
18×	`frac-sub`
13×	`tanh-def`
11×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
6×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`sub-neg` `fma-neg` `associate-l`
2×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 114

Calls

4 calls:

2.0ms	(tanh (/ t y))
7.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
11.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

series776.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(tanh (/ t y))
224.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
217.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
254.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

simplify65.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	546	1798
1	2180	1400
2	5001	1397

prune370.0ms

Filtered

126 candidates to 87 candidates (69.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	122	4	126
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	122	6	128

Merged error: 0.9b

Counts

128 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y)))))
1.2b	(fma y (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y))))) x)
1.7b	(* z (- (tanh (/ x y))))
3.0b	(* z (tanh (/ t y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate-*r/`
14×	`add-sqr-sqrt`
13×	`associate-r`
12×	`distribute-neg-frac`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`frac-add`
8×	`pow1` `add-exp-log` `add-cbrt-cube` `tanh-def`
6×	`associate-l` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `distribute-rgt-neg-out`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `neg-mul-1` `fma-def` `flip3-+` `unsub-neg` `sum-log` `flip-+` `fma-udef` `distribute-lft-out`

Counts

4 → 90

Calls

4 calls:

7.0ms	(+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y)))))
1.0ms	(fma y (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y))))) x)
7.0ms	(* z (- (tanh (/ x y))))
5.0ms	(* z (tanh (/ t y)))

series622.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y)))))
242.0ms	(fma y (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y))))) x)
89.0ms	(* z (- (tanh (/ x y))))
86.0ms	(* z (tanh (/ t y)))

simplify74.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	570	898
1	2499	831
2	5002	827

prune339.0ms

Filtered

102 candidates to 81 candidates (79.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	103	5	108

Merged error: 0.9b

Counts

108 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
7.0b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

45×	`prod-diff`
41×	`add-sqr-sqrt` `*-un-lft-identity`
37×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
18×	`frac-sub`
13×	`tanh-def`
11×	`associate-*r/`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
5×	`sub-neg` `associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `fma-neg` `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

4 → 142

Calls

4 calls:

2.0ms	(tanh (/ x y))
5.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
8.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
12.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series801.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(tanh (/ x y))
339.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
221.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
160.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify93.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	771	2264
1	3331	1740
2	5002	1733

prune410.0ms

Filtered

154 candidates to 101 candidates (65.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	152	2	154
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	153	6	159

Merged error: 0.9b

Counts

159 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(+ x (* (* y z) (- (tanh (/ t y)) (log (exp (tanh (/ x y)))))))
3.7b	(log (exp (tanh (/ x y))))
7.6b	(* (* y z) (- (tanh (/ t y)) (log (exp (tanh (/ x y))))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

84×	`prod-diff`
63×	`*-un-lft-identity`
62×	`add-sqr-sqrt`
60×	`add-cube-cbrt`
53×	`log-pow`
46×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
39×	`exp-prod`
23×	`pow1`
9×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r` `add-log-exp`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u`
3×	`log-prod` `fma-def` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*r/` `distribute-lft-out--`
1×	`+-commutative` `flip3--` `flip3-+` `rem-log-exp` `associate-l` `sum-log` `*-commutative` `flip--` `flip-+` `tanh-def` `difference-of-squares`

Counts

4 → 162

Calls

4 calls:

2.0ms	(tanh (/ x y))
8.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (log (exp (tanh (/ x y)))))))
2.0ms	(log (exp (tanh (/ x y))))
13.0ms	(* (* y z) (- (tanh (/ t y)) (log (exp (tanh (/ x y))))))

series652.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(tanh (/ x y))
329.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (log (exp (tanh (/ x y)))))))
81.0ms	(log (exp (tanh (/ x y))))
160.0ms	(* (* y z) (- (tanh (/ t y)) (log (exp (tanh (/ x y))))))

simplify76.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	672	2944
1	2271	1950
2	5002	1874

prune430.0ms

Filtered

174 candidates to 93 candidates (53.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	174	6	180

Merged error: 0.9b

Counts

180 → 6

regimes149.0ms

Accuracy

0% (1.6b remaining)

Error of 2.0b against oracle of 0.5b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

end0.0ms

sample579.0ms

Algorithm

intervals

Results

319.0ms	8314×	body	80	valid
21.0ms	95×	body	640	valid
11.0ms	53×	body	1280	valid
7.0ms	66×	body	320	valid
3.0ms	36×	body	160	valid