Details

sample63.0ms

Algorithm

intervals

Results

28.0ms	270×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

simplify4.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	12	15
1	54	15
2	147	14
3	334	14
4	1012	14
5	4844	14
done	5000	14

prune38.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.8b	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
1.3b	(* z (- (tanh (/ t y)) (tanh (/ x y))))

rewrite174.0ms

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:

5.0ms	(tanh (/ x y))
36.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
1.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
121.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))

series2.2s

Counts

4 → 12

Calls

4 calls:

232.0ms	(tanh (/ x y))
616.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
698.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
607.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))

simplify2.5s

Counts

126 → 126

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	221	3259
1	593	2726
2	2409	2368
done	5001	2137

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.6b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y)))))
0.8b	(fma y (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y))))) x)
2.5b	(* z (- (tanh (/ x y))))
2.6b	(* z (tanh (/ t y)))

rewrite144.0ms

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:

52.0ms	(+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y)))))
1.0ms	(fma y (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y))))) x)
54.0ms	(* z (- (tanh (/ x y))))
30.0ms	(* z (tanh (/ t y)))

series1.8s

Counts

4 → 12

Calls

4 calls:

561.0ms	(+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y)))))
693.0ms	(fma y (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y))))) x)
252.0ms	(* z (- (tanh (/ x y))))
250.0ms	(* z (tanh (/ t y)))

simplify3.3s

Counts

102 → 102

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	188	1644
1	588	1484
2	2552	1406
done	5000	1400

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.6b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.8b	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
1.3b	(* z (- (tanh (/ t y)) (tanh (/ x y))))

rewrite169.0ms

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:

5.0ms	(tanh (/ x y))
33.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
1.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
122.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))

series2.2s

Counts

4 → 12

Calls

4 calls:

224.0ms	(tanh (/ x y))
623.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
703.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
628.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))

simplify2.5s

Counts

126 → 126

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	221	3259
1	593	2726
2	2409	2368
done	5001	2137

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.6b

localize68.0ms

Local error

Found 4 expressions with local error:

0.8b	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
1.3b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.3b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.3b	(* z (- (tanh (/ t y)) (tanh (/ x y))))

rewrite899.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
54×	`prod-diff`
52×	`*-un-lft-identity`
46×	`add-cube-cbrt`
33×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
27×	`frac-sub`
18×	`tanh-def`
15×	`associate-r`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`associate-l`
6×	`sub-neg`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`fma-udef`

Counts

4 → 175

Calls

4 calls:

1.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
109.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
644.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
129.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))

series2.4s

Counts

4 → 12

Calls

4 calls:

707.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
586.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
575.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
564.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))

simplify1.9s

Counts

187 → 187

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	185	5298
1	465	4275
2	1870	3581
done	5001	3125

prune1.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.6b

regimes637.0ms

Accuracy

0% (1.6b remaining)

Error of 2.1b against oracle of 0.5b and baseline of 2.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	14
1	12	14
done	12	14

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s	8299×	body	80	valid
40.0ms	106×	body	640	valid
24.0ms	44×	body	1280	valid
20.0ms	71×	body	320	valid
7.0ms	39×	body	160	valid