Details

sample31.0ms

Algorithm

intervals

Results

13.0ms	265×	body	80	valid
1.0ms	5×	body	320	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	15
1	54	15
2	142	15
3	322	15
4	959	15
5	4656	15
done	5000	15

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.0b	(tanh (/ t y))
6.2b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

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

4 → 78

Calls

4 calls:

3.0ms	(tanh (/ x y))
21.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
3.0ms	(tanh (/ t y))
83.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series736.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(tanh (/ x y))
268.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
118.0ms	(tanh (/ t y))
255.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify1.8s

Counts

90 → 90

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	165	1855
1	520	1823
2	2585	1733
done	5000	1729

prune542.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.6b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(tanh (/ t y))
1.5b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
2.3b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite227.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

4.0ms	(tanh (/ x y))
4.0ms	(tanh (/ t y))
78.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
134.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series809.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(tanh (/ x y))
120.0ms	(tanh (/ t y))
334.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
260.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify752.0ms

Counts

104 → 104

Iterations

Useful iterations: done (749.0ms)

Iter	Nodes	Cost
0	181	1885
1	495	1857
2	2034	1745
done	5000	1739

prune591.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.5b

localize39.0ms

Local error

Found 4 expressions with local error:

2.3b	(* y (* (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))
2.8b	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.8b	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.8b	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

rewrite2.7s

Algorithm

rewrite-expression-head

Rules

4785×	`cbrt-div`
3915×	`frac-sub`
3586×	`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`
13×	`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:

2.0s	(* y (* (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))
12.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
12.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
28.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

series1.9s

Counts

4 → 12

Calls

4 calls:

269.0ms	(* y (* (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))
555.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
555.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
473.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

simplify1.8s

Counts

1835 → 1835

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	3960	183649
done	5000	183576

prune35.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.5b

localize38.0ms

Local error

Found 4 expressions with local error:

2.3b	(* y (* (* (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))))
4.2b	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
4.2b	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
4.2b	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite2.4s

Algorithm

rewrite-expression-head

Rules

6655×	`associate-*r/`
4785×	`cbrt-div`
3915×	`frac-sub`
3025×	`frac-times`
2610×	`tanh-def`
435×	`flip3--` `flip--`
275×	`associate-*l/`
13×	`pow1` `add-exp-log`
9×	`add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l`
1×	`associate-r` `*-commutative`

Counts

4 → 1808

Calls

4 calls:

1.3s	(* y (* (* (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))))
37.0ms	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
34.0ms	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
23.0ms	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series2.6s

Counts

4 → 12

Calls

4 calls:

226.0ms	(* y (* (* (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))))
819.0ms	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
787.0ms	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
743.0ms	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify1.9s

Counts

1820 → 1820

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	3817	190470
done	5000	190386

prune36.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 1.5b

regimes287.0ms

Accuracy

0% (1.1b remaining)

Error of 2.1b against oracle of 1.0b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	15
1	15	15
done	15	15

end0.0ms

sample1.3s

Algorithm

intervals

Results

699.0ms	8317×	body	80	valid
85.0ms	106×	body	640	valid
19.0ms	46×	body	1280	valid
11.0ms	61×	body	320	valid
5.0ms	35×	body	160	valid