Details

sample53.0ms

Algorithm

intervals

Results

25.0ms	272×	body	80	valid
1.0ms	3×	body	640	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	3026
4	906
3	317
2	141
1	54
0	12

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
4.1b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 58

Calls

2 calls:

18.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
70.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series564.0ms

Counts

2 → 6

Calls

2 calls:

311.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
253.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify1.6s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
2	1887
1	500
0	153

prune389.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

localize40.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.2b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.1b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

33×	`associate-*r/`
27×	`frac-sub`
18×	`tanh-def`
12×	`add-sqr-sqrt`
10×	`distribute-rgt-in` `pow1` `*-un-lft-identity` `distribute-lft-in` `add-cbrt-cube` `add-exp-log`
7×	`sub-neg`
6×	`associate-r` `associate-l` `add-cube-cbrt`
5×	`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

3 → 95

Calls

3 calls:

10.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
35.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
92.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series824.0ms

Counts

3 → 9

Calls

3 calls:

288.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
278.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
258.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify1.9s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	1967
1	556
0	187

prune793.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.6b

localize77.0ms

Local error

Found 4 expressions with local error:

1.8b	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
1.8b	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
1.8b	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
3.1b	(* y (* z (* (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))))

rewrite2.9s

Algorithm

rewrite-expression-head

Rules

4785×	`cbrt-div`
3915×	`frac-sub`
3597×	`associate-*r/`
3025×	`frac-times`
2610×	`tanh-def`
435×	`flip3--` `flip--`
275×	`associate-*l/`
18×	`pow1` `add-exp-log`
15×	`cbrt-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt`
4×	`add-log-exp`
3×	`pow1/3` `associate-l` `distribute-lft-out--` `difference-of-squares`
1×	`associate-r` `*-commutative`

Counts

4 → 1823

Calls

4 calls:

19.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
18.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
18.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.3s	(* y (* z (* (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))))

series2.0s

Counts

4 → 12

Calls

4 calls:

537.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
599.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
562.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
262.0ms	(* y (* z (* (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))))

simplify12.3s

Counts

1835 → 1835

Iterations

Iter	Nodes
done	5543
0	5543

prune35.6s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.6b

localize74.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.2b	(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
2.3b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite333.0ms

Algorithm

rewrite-expression-head

Rules

55×	`associate-*r/`
32×	`distribute-rgt-in` `distribute-lft-in`
30×	`pow1` `add-exp-log`
18×	`add-cbrt-cube` `pow-prod-down` `prod-exp` `frac-sub` `cbrt-unprod`
12×	`sub-neg` `tanh-def`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l`
4×	`add-log-exp`
2×	`flip3--` `pow1/3` `associate-r` `*-commutative` `flip--`

Counts

4 → 117

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
82.0ms	(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
245.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

series1.4s

Counts

4 → 12

Calls

4 calls:

316.0ms	(cbrt y)
312.0ms	(cbrt y)
525.0ms	(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
259.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify2.2s

Counts

129 → 129

Iterations

Iter	Nodes
done	5000
2	2521
1	686
0	211

prune765.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.6b

regimes472.0ms

Accuracy

0% (0.4b remaining)

Error of 1.5b against oracle of 1.1b and baseline of 1.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	19
1	19
0	14

end0.0ms

sample1.3s

Algorithm

intervals

Results

873.0ms	8353×	body	80	valid
59.0ms	109×	body	640	valid
20.0ms	48×	body	1280	valid
12.0ms	52×	body	320	valid
5.0ms	39×	body	160	valid