Details

sample29.0ms

Algorithm

intervals

Results

13.0ms	265×	body	80	valid
1.0ms	7×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

simplify4.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	12	354
1	54	354
2	146	329
3	321	329
4	928	329
5	3035	329
done	5000	329

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.8b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
1.3b	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
1.5b	(* z (- (tanh (/ t y)) (tanh (/ x y))))

rewrite65.0ms

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-cbrt-cube` `add-exp-log` `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:

2.0ms	(tanh (/ t y))
15.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
0.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
45.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))

series1.2s

Counts

4 → 12

Calls

4 calls:

101.0ms	(tanh (/ t y))
347.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
416.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
340.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))

simplify2.4s

Counts

126 → 126

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	217	62068
1	558	57593
2	1774	51998
done	5003	50968

prune804.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.7b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 104

Calls

3 calls:

1.0ms	(tanh (/ t y))
11.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
59.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series711.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(tanh (/ t y))
307.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
297.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify3.1s

Counts

113 → 113

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	209	60702
1	641	56087
2	2274	50452
done	5001	49302

prune681.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.7b

localize74.0ms

Local error

Found 4 expressions with local error:

5.4b	(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
5.8b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
5.8b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
5.8b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite261.0ms

Algorithm

rewrite-expression-head

Rules

54×	`prod-diff`
49×	`add-sqr-sqrt` `*-un-lft-identity`
44×	`associate-*r/`
43×	`add-cube-cbrt`
36×	`frac-sub`
33×	`distribute-rgt-in` `distribute-lft-in`
24×	`tanh-def`
19×	`pow1` `add-cbrt-cube` `add-exp-log`
15×	`associate-r`
11×	`cbrt-div`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`sub-neg`
4×	`expm1-log1p-u` `flip3--` `log1p-expm1-u` `flip--` `add-log-exp`
3×	`associate-l` `*-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 187

Calls

4 calls:

50.0ms	(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
61.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
71.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
64.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series1.3s

Counts

4 → 12

Calls

4 calls:

540.0ms	(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
244.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
266.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
231.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify3.4s

Counts

199 → 199

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	247	118450
1	709	111194
2	2357	99655
done	5004	99020

prune1.6s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.7b

localize10.0ms

Local error

Found 2 expressions with local error:

2.8b	(/ (* t z) y)
5.8b	(fma y (/ (* t z) y) x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`associate-/r*` `times-frac`
2×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `fma-udef` `div-inv` `associate-/l*`

Counts

2 → 33

Calls

2 calls:

8.0ms	(/ (* t z) y)
0.0ms	(fma y (/ (* t z) y) x)

series96.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ (* t z) y)
57.0ms	(fma y (/ (* t z) y) x)

simplify2.6s

Counts

39 → 39

Iterations

Useful iterations: 3 (772.0ms)

Iter	Nodes	Cost
0	64	6170
1	139	5878
2	510	5748
3	2311	5588
done	5001	5588

prune223.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes309.0ms

Accuracy

0% (1.9b remaining)

Error of 2.1b against oracle of 0.1b and baseline of 2.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	329
1	12	329
done	12	329

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s	8386×	body	80	valid
21.0ms	75×	body	640	valid
14.0ms	39×	body	1280	valid
11.0ms	57×	body	320	valid
5.0ms	36×	body	160	valid