Details

sample67.0ms

Algorithm

intervals

Results

30.0ms	266×	body	80	valid
2.0ms	4×	body	640	valid
1.0ms	1×	body	1280	valid
1.0ms	2×	body	320	valid

simplify5.4s

Counts

1 → 1

Iterations

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

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize141.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b	(tanh (/ x y))
5.4b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite247.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

5.0ms	(tanh (/ t y))
17.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
5.0ms	(tanh (/ x y))
211.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series2.0s

Counts

4 → 12

Calls

4 calls:

211.0ms	(tanh (/ t y))
1.0s	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
216.0ms	(tanh (/ x y))
536.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify4.2s

Counts

86 → 86

Iterations

Iter	Nodes
done	5013
2	2008
1	518
0	179

prune1.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.3b

localize167.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
0.0b	(tanh (/ x y))
1.2b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.5b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite457.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

21.0ms	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
8.0ms	(tanh (/ x y))
138.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
282.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series2.4s

Counts

4 → 12

Calls

4 calls:

955.0ms	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
220.0ms	(tanh (/ x y))
697.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
481.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify4.5s

Counts

117 → 117

Iterations

Iter	Nodes
done	5002
2	2028
1	563
0	206

prune1.7s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.7b

localize187.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
1.2b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.6b	(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
2.2b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 145

Calls

4 calls:

5.0ms	(cbrt y)
128.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
247.0ms	(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
627.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

series2.8s

Counts

4 → 12

Calls

4 calls:

355.0ms	(cbrt y)
796.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
916.0ms	(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
714.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify5.4s

Counts

157 → 157

Iterations

Iter	Nodes
done	5001
2	2786
1	742
0	236

prune2.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.7b

localize358.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt y))
1.2b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.4b	(* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (cbrt y)) (* z (- (tanh (/ t y)) (tanh (/ x y))))))
2.2b	(* (* (cbrt y) (cbrt y)) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (cbrt y)) (* z (- (tanh (/ t y)) (tanh (/ x y)))))))

rewrite2.2s

Algorithm

rewrite-expression-head

Rules

92×	`pow1` `add-exp-log`
90×	`distribute-rgt-in` `distribute-lft-in`
88×	`associate-*r/`
67×	`pow-prod-down` `prod-exp` `cbrt-unprod`
48×	`add-cbrt-cube`
27×	`frac-sub`
26×	`sub-neg`
18×	`tanh-def`
12×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
9×	`cbrt-prod`
8×	`add-cube-cbrt`
7×	`associate-r`
5×	`associate-l`
4×	`insert-posit16` `add-log-exp`
3×	`flip3--` `*-commutative` `flip--`
1×	`pow1/3` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 203

Calls

4 calls:

7.0ms	(cbrt (cbrt y))
138.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
614.0ms	(* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (cbrt y)) (* z (- (tanh (/ t y)) (tanh (/ x y))))))
1.4s	(* (* (cbrt y) (cbrt y)) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (cbrt y)) (* z (- (tanh (/ t y)) (tanh (/ x y)))))))

series2.5s

Counts

4 → 12

Calls

4 calls:

397.0ms	(cbrt (cbrt y))
727.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
836.0ms	(* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (cbrt y)) (* z (- (tanh (/ t y)) (tanh (/ x y))))))
523.0ms	(* (* (cbrt y) (cbrt y)) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (cbrt y)) (* z (- (tanh (/ t y)) (tanh (/ x y)))))))

simplify6.7s

Counts

215 → 215

Iterations

Iter	Nodes
done	5001
2	3849
1	1033
0	324

prune1.8s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.7b

regimes1.1s

Accuracy

0% (2.1b remaining)

Error of 2.5b against oracle of 0.5b and baseline of 2.5b

bsearch0.0ms

simplify13.0ms

Iterations

Iter	Nodes
done	19
1	19
0	15

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.4s	8359×	body	80	valid
36.0ms	84×	body	640	valid
22.0ms	41×	body	1280	valid
17.0ms	59×	body	320	valid
16.0ms	37×	body	160	valid