Details

sample56.0ms

Algorithm

intervals

Results

34.0ms	272×	body	80	valid
2.0ms	4×	body	640	valid
1.0ms	2×	body	1280	valid

simplify789.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2009
4	928
3	321
2	146
1	54
0	12

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

36×	`prod-diff`
32×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
11×	`associate-*r/`
9×	`pow1` `add-cbrt-cube` `add-exp-log` `frac-sub`
8×	`tanh-def`
6×	`add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `sub-neg` `insert-posit16` `log1p-expm1-u`
3×	`fma-def` `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 → 121

Calls

4 calls:

1.0ms	(tanh (/ x y))
1.0ms	(tanh (/ t y))
8.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
73.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series835.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(tanh (/ x y))
103.0ms	(tanh (/ t y))
426.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
207.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify551.0ms

Counts

133 → 133

Iterations

Iter	Nodes
done	2000
1	694
0	249

prune770.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
0.8b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
2.8b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

99×	`distribute-rgt-in` `distribute-lft-in`
90×	`prod-diff`
72×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
68×	`add-cube-cbrt`
44×	`associate-+r+`
33×	`associate-*r/`
18×	`frac-sub`
13×	`tanh-def`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`sub-neg`
6×	`associate-r` `associate-l` `add-log-exp`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`fma-def`
2×	`flip3--` `*-commutative` `flip--`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 206

Calls

4 calls:

3.0ms	(tanh (/ x y))
15.0ms	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
29.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
87.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

114.0ms	(tanh (/ x y))
450.0ms	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
262.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
225.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify653.0ms

Counts

218 → 218

Iterations

Iter	Nodes
done	2003
1	894
0	344

prune998.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize59.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(tanh (/ x y))
0.0b	(tanh (/ t y))
2.2b	(* (- (tanh (/ t y)) (tanh (/ x y))) y)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

11×	`associate-*l/`
10×	`add-sqr-sqrt`
9×	`frac-sub` `tanh-def`
8×	`*-un-lft-identity`
6×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
5×	`associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

1.0ms	(tanh (/ x y))
1.0ms	(tanh (/ x y))
1.0ms	(tanh (/ t y))
33.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) y)

series688.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(tanh (/ x y))
112.0ms	(tanh (/ x y))
120.0ms	(tanh (/ t y))
350.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) y)

simplify791.0ms

Counts

85 → 85

Iterations

Iter	Nodes
done	2007
2	1305
1	382
0	147

prune828.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize60.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (fma (* y (tanh (/ t y))) z x) (* y (* (- (tanh (/ x y))) z)))
2.2b	(* (- (tanh (/ x y))) z)
3.1b	(* y (* (- (tanh (/ x y))) z))
6.3b	(* y (tanh (/ t y)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `associate-l`
13×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r`
6×	`associate-l/` `associate-r/` `distribute-neg-frac` `add-log-exp`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-lft-neg-out` `expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `fma-def` `distribute-rgt-neg-in` `*-commutative` `distribute-rgt-neg-out` `tanh-def`
2×	`unswap-sqr`
1×	`+-commutative` `associate-+l+` `neg-mul-1` `sum-log` `flip3-+` `unsub-neg` `flip-+` `fma-udef`

Counts

4 → 101

Calls

4 calls:

6.0ms	(+ (fma (* y (tanh (/ t y))) z x) (* y (* (- (tanh (/ x y))) z)))
11.0ms	(* (- (tanh (/ x y))) z)
22.0ms	(* y (* (- (tanh (/ x y))) z))
13.0ms	(* y (tanh (/ t y)))

series745.0ms

Counts

4 → 12

Calls

4 calls:

362.0ms	(+ (fma (* y (tanh (/ t y))) z x) (* y (* (- (tanh (/ x y))) z)))
146.0ms	(* (- (tanh (/ x y))) z)
151.0ms	(* y (* (- (tanh (/ x y))) z))
86.0ms	(* y (tanh (/ t y)))

simplify894.0ms

Counts

113 → 113

Iterations

Iter	Nodes
done	2002
2	1461
1	431
0	168

prune705.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

regimes239.0ms

Accuracy

0% (1.4b remaining)

Error of 1.6b against oracle of 0.1b and baseline of 1.6b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	31
3	31
2	29
1	25
0	18

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.7s	8323×	body	80	valid
50.0ms	98×	body	640	valid
28.0ms	43×	body	1280	valid
21.0ms	56×	body	320	valid
11.0ms	35×	body	160	valid