Details

sample39.0ms

Algorithm

intervals

Results

11.0ms	253×	body	80	valid
2.0ms	14×	body	640	valid
2.0ms	9×	body	1280	valid
1.0ms	8×	body	320	valid
1.0ms	5×	body	160	valid
0.0ms	2×	body	2560	valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3465
5	879
4	292
3	111
2	45
1	20
0	11

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.3b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y x) (- a t))
1.5b	(+ x (* (/ (- y x) (- a t)) (- z t)))
6.6b	(* (/ (- y x) (- a t)) (- z t))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
27×	`add-cube-cbrt`
23×	`distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `flip3--` `associate-r` `flip--` `associate-/l` `add-log-exp`
4×	`distribute-rgt-in` `associate-+r+` `sub-neg` `distribute-lft-in` `associate-/r/`
2×	`frac-times` `cbrt-undiv` `div-exp` `prod-exp` `associate-*r/` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-l/` `-commutative` `flip-+`

Counts

3 → 127

Calls

3 calls:

29.0ms	(/ (- y x) (- a t))
12.0ms	(+ x (* (/ (- y x) (- a t)) (- z t)))
102.0ms	(* (/ (- y x) (- a t)) (- z t))

series668.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(/ (- y x) (- a t))
290.0ms	(+ x (* (/ (- y x) (- a t)) (- z t)))
293.0ms	(* (/ (- y x) (- a t)) (- z t))

simplify1.3s

Counts

136 → 136

Iterations

Iter	Nodes
done	5000
2	2190
1	539
0	196

prune749.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.4b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.8b	(+ x (* (- y x) (/ (- z t) (- a t))))
1.9b	(* (- y x) (/ (- z t) (- a t)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
23×	`distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `flip3--` `associate-l` `flip--` `associate-/l` `add-log-exp`
4×	`associate-/r/`
2×	`frac-times` `cbrt-undiv` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 119

Calls

3 calls:

17.0ms	(/ (- z t) (- a t))
5.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))
64.0ms	(* (- y x) (/ (- z t) (- a t)))

series408.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(/ (- z t) (- a t))
206.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))
132.0ms	(* (- y x) (/ (- z t) (- a t)))

simplify1.4s

Counts

128 → 128

Iterations

Iter	Nodes
done	5001
2	2633
1	503
0	183

prune752.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.8b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.8b	(+ x (* 1 (/ (- y x) (/ (- a t) (- z t)))))
2.1b	(/ (- y x) (/ (- a t) (- z t)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

330×	`times-frac`
322×	`*-un-lft-identity`
321×	`add-sqr-sqrt`
113×	`add-cube-cbrt`
104×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
15×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
9×	`flip3--` `flip--`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1`
2×	`clear-num` `frac-2neg` `div-sub`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `distribute-lft-out`

Counts

3 → 273

Calls

3 calls:

16.0ms	(/ (- a t) (- z t))
5.0ms	(+ x (* 1 (/ (- y x) (/ (- a t) (- z t)))))
52.0ms	(/ (- y x) (/ (- a t) (- z t)))

series599.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(/ (- a t) (- z t))
246.0ms	(+ x (* 1 (/ (- y x) (/ (- a t) (- z t)))))
286.0ms	(/ (- y x) (/ (- a t) (- z t)))

simplify599.0ms

Counts

282 → 282

Iterations

Iter	Nodes
done	5001
1	1173
0	357

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.8b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- z t) (- a t))
0.2b	(/ 1 (/ (- z t) (- a t)))
1.8b	(+ x (* 1 (/ (- y x) (/ 1 (/ (- z t) (- a t))))))
2.1b	(/ (- y x) (/ 1 (/ (- z t) (- a t))))

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

1716×	`times-frac`
1244×	`*-un-lft-identity`
1243×	`add-sqr-sqrt`
581×	`add-cube-cbrt`
331×	`distribute-lft-out--` `difference-of-squares`
134×	`associate-/r*`
54×	`associate-/r/`
36×	`add-exp-log`
31×	`div-inv`
25×	`flip3--` `flip--`
22×	`div-exp`
20×	`add-cbrt-cube`
13×	`associate-/l*`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
4×	`rec-exp` `1-exp` `associate-/l/`
3×	`clear-num` `frac-2neg`
2×	`div-sub`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `pow-flip` `distribute-lft-out` `inv-pow`

Counts

4 → 829

Calls

4 calls:

17.0ms	(/ (- z t) (- a t))
23.0ms	(/ 1 (/ (- z t) (- a t)))
5.0ms	(+ x (* 1 (/ (- y x) (/ 1 (/ (- z t) (- a t))))))
61.0ms	(/ (- y x) (/ 1 (/ (- z t) (- a t))))

series691.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(/ (- z t) (- a t))
174.0ms	(/ 1 (/ (- z t) (- a t)))
248.0ms	(+ x (* 1 (/ (- y x) (/ 1 (/ (- z t) (- a t))))))
187.0ms	(/ (- y x) (/ 1 (/ (- z t) (- a t))))

simplify1.1s

Counts

841 → 841

Iterations

Iter	Nodes
done	5002
1	3268
0	921

prune2.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.2b

regimes498.0ms

Accuracy

23.3% (6.2b remaining)

Error of 9.6b against oracle of 3.4b and baseline of 11.5b

bsearch113.0ms

Steps

Iters	Range		Point
10	4.5158289857264295e-178	4.753875386860788e-168	9.308003628992164e-174
7	-1.857850302800927e-158	-1.3110312091667196e-160	-8.572794558051977e-160

simplify6.0ms

Iterations

Iter	Nodes
done	35
2	35
1	34
0	26

end0.0ms

sample1.7s

Algorithm

intervals

Results

875.0ms	7915×	body	80	valid
132.0ms	433×	body	320	valid
125.0ms	450×	body	640	valid
71.0ms	274×	body	1280	valid
37.0ms	15×	body	2560	valid
23.0ms	222×	body	160	valid