Details

sample59.0ms

Algorithm

intervals

Results

25.0ms	268×	body	80	valid
2.0ms	4×	body	640	valid
2.0ms	3×	body	1280	valid
1.0ms	3×	body	320	valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	12	15
1	54	15
2	147	14
3	334	14
4	1012	14
5	4844	14
done	5000	14

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.0b	(tanh (/ x y))
1.0b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.2b	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
27×	`prod-diff`
25×	`add-cube-cbrt`
18×	`frac-sub`
13×	`tanh-def`
11×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
6×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`sub-neg` `fma-neg` `associate-l`
2×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 114

Calls

4 calls:

18.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
2.0ms	(tanh (/ x y))
84.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

series1.3s

Counts

4 → 12

Calls

4 calls:

357.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
126.0ms	(tanh (/ x y))
392.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
436.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

simplify1.7s

Counts

126 → 126

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	221	3259
1	593	2726
2	2414	2368
done	5001	2137

prune561.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

33×	`cbrt-div`
27×	`frac-sub`
18×	`tanh-def`
15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 88

Calls

4 calls:

0.0ms	(fma y (* (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))) x)
12.0ms	(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))))

series2.0s

Counts

4 → 12

Calls

4 calls:

372.0ms	(fma y (* (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))) x)
511.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
545.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
532.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

simplify905.0ms

Counts

100 → 100

Iterations

Useful iterations: done (900.0ms)

Iter	Nodes	Cost
0	186	3407
1	507	3320
2	1678	2939
done	5000	2876

prune730.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b	(tanh (/ x y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
3.9b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

45×	`prod-diff`
41×	`add-sqr-sqrt` `*-un-lft-identity`
37×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
18×	`frac-sub`
13×	`tanh-def`
11×	`associate-*r/`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
5×	`sub-neg` `associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `fma-neg` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `diff-log` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

4 → 142

Calls

4 calls:

24.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
4.0ms	(tanh (/ x y))
34.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
77.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series1.3s

Counts

4 → 12

Calls

4 calls:

555.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
126.0ms	(tanh (/ x y))
370.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
287.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify3.2s

Counts

154 → 154

Iterations

Useful iterations: 2 (910.0ms)

Iter	Nodes	Cost
0	261	4155
1	787	3462
2	4482	2986
done	5000	2986

prune555.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.3b

localize25.0ms

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

rewrite334.0ms

Algorithm

rewrite-expression-head

Rules

297×	`cbrt-div`
243×	`frac-sub`
162×	`tanh-def`
154×	`associate-*r/`
121×	`frac-times`
27×	`flip3--` `flip--`
16×	`pow1` `add-exp-log`
15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`add-cbrt-cube`
11×	`associate-*l/`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-cube-cbrt`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `distribute-lft-out--` `difference-of-squares`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 245

Calls

4 calls:

12.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
12.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
13.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
267.0ms	(* (* y z) (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))

series2.5s

Counts

4 → 12

Calls

4 calls:

642.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
637.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
557.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
642.0ms	(* (* y z) (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))

simplify2.4s

Counts

257 → 257

Iterations

Useful iterations: 2 (1.3s)

Iter	Nodes	Cost
0	513	13825
1	1479	13396
2	4556	13144
done	5000	13144

prune3.3s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.3b

regimes239.0ms

Accuracy

6.6% (1.7b remaining)

Error of 2.2b against oracle of 0.5b and baseline of 2.3b

bsearch4.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	93
1	31	93
done	31	93

end0.0ms

sample1.4s

Algorithm

intervals

Results

821.0ms	8337×	body	80	valid
46.0ms	56×	body	320	valid
24.0ms	90×	body	640	valid
13.0ms	37×	body	1280	valid
6.0ms	38×	body	160	valid