Details

sample34.0ms

Algorithm

intervals

Results

14.0ms	278×	body	80	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	4826
4	1010
3	334
2	147
1	54
0	12

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.0b	(tanh (/ x y))
4.4b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

2.0ms	(tanh (/ t y))
15.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
3.0ms	(tanh (/ x y))
54.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series871.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(tanh (/ t y))
359.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
123.0ms	(tanh (/ x y))
236.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify2.4s

Counts

128 → 128

Iterations

Iter	Nodes
done	5001
2	3783
1	670
0	217

prune934.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 2.3b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(tanh (/ x y))
0.0b	(* z (* y (- (tanh (/ t y)) (tanh (/ x y)))))
3.8b	(* y (- (tanh (/ t y)) (tanh (/ x y))))

rewrite540.0ms

Algorithm

rewrite-expression-head

Rules

55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
47×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
43×	`add-cube-cbrt`
33×	`associate-*r/`
18×	`frac-sub`
14×	`tanh-def`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`sub-neg` `associate-r` `associate-l`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `*-commutative` `flip--`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 154

Calls

4 calls:

2.0ms	(tanh (/ x y))
2.0ms	(tanh (/ x y))
479.0ms	(* z (* y (- (tanh (/ t y)) (tanh (/ x y)))))
51.0ms	(* y (- (tanh (/ t y)) (tanh (/ x y))))

series756.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(tanh (/ x y))
112.0ms	(tanh (/ x y))
275.0ms	(* z (* y (- (tanh (/ t y)) (tanh (/ x y)))))
238.0ms	(* y (- (tanh (/ t y)) (tanh (/ x y))))

simplify2.4s

Counts

166 → 166

Iterations

Iter	Nodes
done	5000
2	3293
1	746
0	271

prune979.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.0b	(tanh (/ x y))
1.8b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.7b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

63×	`prod-diff`
56×	`add-sqr-sqrt`
55×	`distribute-rgt-in` `distribute-lft-in`
54×	`*-un-lft-identity`
50×	`add-cube-cbrt`
33×	`associate-*r/`
27×	`frac-sub`
19×	`tanh-def`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`sub-neg`
6×	`associate-r` `associate-l` `add-log-exp`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`flip3--` `fma-neg` `flip--`
2×	`*-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `unswap-sqr`

Counts

4 → 179

Calls

4 calls:

12.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
2.0ms	(tanh (/ x y))
67.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
106.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

337.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
137.0ms	(tanh (/ x y))
357.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
284.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify2.3s

Counts

191 → 191

Iterations

Iter	Nodes
done	5000
2	3685
1	848
0	297

prune986.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (+ (* z (- t x)) (* z (* y (* (tanh (/ x y)) 0)))))
0.0b	(* z (- t x))
0.0b	(tanh (/ x y))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`prod-diff` `add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-log-exp`
5×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log`
3×	`expm1-log1p-u` `sum-log` `fma-def` `associate-l` `log1p-expm1-u`
2×	`sub-neg` `associate-*r/`
1×	`+-commutative` `associate-+r+` `flip3-+` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `flip--` `distribute-lft-out` `tanh-def` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 77

Calls

3 calls:

31.0ms	(+ x (+ (* z (- t x)) (* z (* y (* (tanh (/ x y)) 0)))))
37.0ms	(* z (- t x))
3.0ms	(tanh (/ x y))

series211.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ x (+ (* z (- t x)) (* z (* y (* (tanh (/ x y)) 0)))))
48.0ms	(* z (- t x))
124.0ms	(tanh (/ x y))

simplify1.3s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
2	1623
1	407
0	166

prune363.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes315.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	24
1	24
0	17

end0.0ms

sample1.4s

Algorithm

intervals

Results

903.0ms	8284×	body	80	valid
31.0ms	98×	body	640	valid
23.0ms	52×	body	1280	valid
12.0ms	57×	body	320	valid
6.0ms	33×	body	160	valid