Details

sample33.0ms

Algorithm

intervals

Results

17.0ms	263×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	2×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.7b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(tanh (/ x y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
4.9b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

18×	`frac-sub`
14×	`tanh-def`
11×	`associate-*r/`
9×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
6×	`add-log-exp`
5×	`associate-r` `add-cube-cbrt`
4×	`insert-posit16`
3×	`sub-neg` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

4 → 82

Calls

4 calls:

2.0ms	(tanh (/ t y))
2.0ms	(tanh (/ x y))
13.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
48.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series709.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(tanh (/ t y))
107.0ms	(tanh (/ x y))
286.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
212.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify1.9s

Counts

94 → 94

Iterations

Iter	Nodes
done	5001
2	1990
1	524
0	169

prune631.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.8b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

33×	`associate-*r/`
27×	`frac-sub`
19×	`tanh-def`
13×	`add-sqr-sqrt`
11×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
10×	`distribute-rgt-in` `distribute-lft-in`
7×	`sub-neg` `add-cube-cbrt`
6×	`associate-r` `associate-l` `add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
3×	`flip3--` `flip--`
2×	`*-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `unswap-sqr`

Counts

4 → 109

Calls

4 calls:

2.0ms	(tanh (/ x y))
12.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
43.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
127.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series945.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(tanh (/ x y))
327.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
271.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
215.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify1.8s

Counts

121 → 121

Iterations

Iter	Nodes
done	5000
2	2060
1	577
0	199

prune757.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.3b

localize38.0ms

Local error

Found 4 expressions with local error:

2.3b	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.3b	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.3b	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
3.0b	(* y (* (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite2.5s

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×	`insert-posit16` `add-log-exp`
3×	`pow1/3` `associate-l` `distribute-lft-out--` `difference-of-squares`
1×	`associate-r` `*-commutative`

Counts

4 → 1827

Calls

4 calls:

22.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
22.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
22.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
1.6s	(* y (* (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))

series1.8s

Counts

4 → 12

Calls

4 calls:

510.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
472.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
553.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
289.0ms	(* y (* (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))

simplify9.9s

Counts

1839 → 1839

Iterations

Iter	Nodes
done	5000
0	3962

prune33.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 1.3b

localize41.0ms

Local error

Found 4 expressions with local error:

3.0b	(* 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)))))))
4.3b	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
4.3b	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
4.3b	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite2.1s

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` `*-un-lft-identity` `add-cube-cbrt`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l`
1×	`associate-r` `*-commutative`

Counts

4 → 1812

Calls

4 calls:

1.4s	(* 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)))))))
21.0ms	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
21.0ms	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
27.0ms	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series2.8s

Counts

4 → 12

Calls

4 calls:

247.0ms	(* 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)))))))
844.0ms	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
855.0ms	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
853.0ms	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify11.1s

Counts

1824 → 1824

Iterations

Iter	Nodes
done	5000
0	3817

prune32.9s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 1.3b

regimes214.0ms

Accuracy

0% (1.1b remaining)

Error of 2.1b against oracle of 1.1b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	12

end0.0ms

sample1.1s

Algorithm

intervals

Results

794.0ms	8334×	body	80	valid
29.0ms	93×	body	640	valid
21.0ms	52×	body	1280	valid
13.0ms	62×	body	320	valid
7.0ms	46×	body	160	valid