Details

sample52.0ms

Algorithm

intervals

Results

31.0ms	265×	body	80	valid
2.0ms	3×	body	1280	valid
2.0ms	3×	body	640	valid
1.0ms	2×	body	320	valid

simplify2.1s

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.0b	(tanh (/ x y))
5.8b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

6.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
11.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
1.0ms	(tanh (/ x y))
35.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series1.1s

Counts

4 → 12

Calls

4 calls:

406.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
281.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
133.0ms	(tanh (/ x y))
231.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify2.0s

Counts

99 → 99

Iterations

Iter	Nodes
done	5007
2	2273
1	600
0	193

prune608.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.6b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.0b	(tanh (/ x y))
0.9b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
4.0b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite139.0ms

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:

11.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
1.0ms	(tanh (/ x y))
42.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
82.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series977.0ms

Counts

4 → 12

Calls

4 calls:

325.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
101.0ms	(tanh (/ x y))
324.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
227.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify2.2s

Counts

121 → 121

Iterations

Iter	Nodes
done	5000
2	2060
1	577
0	199

prune771.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize90.0ms

Local error

Found 4 expressions with local error:

4.0b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
7.7b	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
7.7b	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
7.7b	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite227.0ms

Algorithm

rewrite-expression-head

Rules

88×	`associate-*r/`
36×	`frac-sub`
33×	`cbrt-div`
24×	`tanh-def`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`distribute-rgt-in` `distribute-lft-in`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`sub-neg` `flip3--` `insert-posit16` `flip--` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 101

Calls

4 calls:

71.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
45.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
36.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
71.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

series1.7s

Counts

4 → 12

Calls

4 calls:

243.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
490.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
493.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
493.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify1.9s

Counts

113 → 113

Iterations

Iter	Nodes
done	5001
2	1853
1	566
0	210

prune977.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

7.7b	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
7.7b	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
7.7b	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
7.7b	(cbrt (* (* (cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))) (cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

9713×	`associate-*r/`
6512×	`cbrt-div`
3915×	`frac-sub`
3025×	`frac-times`
2610×	`tanh-def`
435×	`flip3--` `flip--`
275×	`associate-*l/`
4×	`cbrt-prod` `add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`
1×	`pow3` `rem-cbrt-cube`

Counts

4 → 1801

Calls

4 calls:

73.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
71.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
48.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
498.0ms	(cbrt (* (* (cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))) (cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))))

series1.9s

Counts

4 → 12

Calls

4 calls:

449.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
505.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
436.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
513.0ms	(cbrt (* (* (cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))) (cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))))

simplify13.2s

Counts

1813 → 1813

Iterations

Iter	Nodes
done	6692
0	6692

prune45.8s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes374.0ms

Accuracy

34% (1.1b remaining)

Error of 1.4b against oracle of 0.3b and baseline of 1.9b

bsearch4.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	30
1	30
0	21

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.6s	8302×	body	80	valid
78.0ms	61×	body	1280	valid
46.0ms	87×	body	640	valid
30.0ms	44×	body	160	valid
24.0ms	63×	body	320	valid