Details

sample25.0ms

Algorithm

intervals

Results

11.0ms	266×	body	80	valid
1.0ms	6×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	12	15
1	54	15
2	146	14
3	313	14
4	946	14
5	2981	14
done	5000	14

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
1.0b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.4b	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

rewrite38.0ms

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:

1.0ms	(tanh (/ t y))
7.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
24.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
0.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

series819.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(tanh (/ t y))
234.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
220.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
274.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

simplify675.0ms

Counts

126 → 126

Iterations

Useful iterations: 2 (227.0ms)

Iter	Nodes	Cost
0	217	3259
1	543	2726
2	1729	2366
done	5000	2366

prune388.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.6b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
5.5b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite47.0ms

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:

1.0ms	(tanh (/ x y))
6.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
7.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
26.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series876.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(tanh (/ x y))
374.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
241.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
173.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify1.1s

Counts

154 → 154

Iterations

Useful iterations: 2 (510.0ms)

Iter	Nodes	Cost
0	261	4155
1	756	3462
2	2907	2986
done	5000	2986

prune443.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.6b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (tanh (/ x y)) (tanh (/ x y)))
1.4b	(* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y)))))
1.4b	(fma y (/ (* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))) (+ (tanh (/ t y)) (tanh (/ x y)))) x)
6.0b	(/ (* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))) (+ (tanh (/ t y)) (tanh (/ x y))))

rewrite307.0ms

Algorithm

rewrite-expression-head

Rules

637×	`associate-*r/`
549×	`frac-times`
494×	`tanh-def`
450×	`frac-sub`
227×	`associate-/l/`
183×	`associate-*l/`
16×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt`
11×	`associate-/r/`
9×	`frac-add`
7×	`associate-r`
6×	`associate-l`
4×	`expm1-log1p-u` `times-frac` `associate-/r*` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `swap-sqr` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `sub-neg` `flip3--` `div-exp` `prod-diff` `pow-prod-down` `*-commutative` `flip--` `distribute-lft-out` `unswap-sqr`
1×	`pow2` `frac-2neg` `flip3-+` `pow-plus` `clear-num` `pow-sqr` `pow-prod-up` `flip-+` `fma-udef` `div-inv` `associate-/l*` `difference-of-squares`

Counts

4 → 569

Calls

4 calls:

9.0ms	(* (tanh (/ x y)) (tanh (/ x y)))
122.0ms	(* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y)))))
0.0ms	(fma y (/ (* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))) (+ (tanh (/ t y)) (tanh (/ x y)))) x)
104.0ms	(/ (* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))) (+ (tanh (/ t y)) (tanh (/ x y))))

series3.0s

Counts

4 → 12

Calls

4 calls:

126.0ms	(* (tanh (/ x y)) (tanh (/ x y)))
583.0ms	(* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y)))))
1.0s	(fma y (/ (* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))) (+ (tanh (/ t y)) (tanh (/ x y)))) x)
1.2s	(/ (* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))) (+ (tanh (/ t y)) (tanh (/ x y))))

simplify1.4s

Counts

581 → 581

Iterations

Useful iterations: 1 (779.0ms)

Iter	Nodes	Cost
0	1376	27846
1	3708	27187
done	5000	27187

prune3.9s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.6b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.2b	(pow (* (- (tanh (/ t y)) (tanh (/ x y))) (* y z)) 3)
5.5b	(* (- (tanh (/ t y)) (tanh (/ x y))) (* y z))
23.8b	(cbrt (pow (* (- (tanh (/ t y)) (tanh (/ x y))) (* y z)) 3))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

36×	`frac-sub`
33×	`associate-*l/`
24×	`tanh-def`
22×	`cube-div`
18×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-cube-cbrt`
11×	`cbrt-div`
9×	`prod-diff`
8×	`cbrt-prod`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u`
3×	`pow-unpow` `pow-pow` `fma-neg` `pow-exp` `rem-cube-cbrt`
2×	`cube-mult` `unpow-prod-down` `unpow3` `cube-prod` `distribute-lft-out--` `difference-of-squares` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow1/3` `diff-log` `associate-r` `*-commutative` `rem-cbrt-cube`

Counts

4 → 138

Calls

4 calls:

7.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
18.0ms	(pow (* (- (tanh (/ t y)) (tanh (/ x y))) (* y z)) 3)
28.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) (* y z))
13.0ms	(cbrt (pow (* (- (tanh (/ t y)) (tanh (/ x y))) (* y z)) 3))

series2.7s

Counts

4 → 12

Calls

4 calls:

274.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
1.6s	(pow (* (- (tanh (/ t y)) (tanh (/ x y))) (* y z)) 3)
439.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) (* y z))
440.0ms	(cbrt (pow (* (- (tanh (/ t y)) (tanh (/ x y))) (* y z)) 3))

simplify1.4s

Counts

150 → 150

Iterations

Useful iterations: 2 (465.0ms)

Iter	Nodes	Cost
0	281	4396
1	846	3868
2	3579	3688
done	5000	3688

prune641.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.2b

regimes199.0ms

Accuracy

32.5% (2.9b remaining)

Error of 3.0b against oracle of 0.1b and baseline of 4.4b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	93
1	34	93
done	34	93

end0.0ms

sample616.0ms

Algorithm

intervals

Results

354.0ms	8310×	body	80	valid
16.0ms	105×	body	640	valid
8.0ms	39×	body	1280	valid
8.0ms	66×	body	320	valid
3.0ms	34×	body	160	valid