Details

sample68.0ms

Algorithm

intervals

Results

19.0ms	234×	body	80	valid
5.0ms	16×	body	640	valid
4.0ms	11×	body	1280	valid
3.0ms	14×	body	320	valid
1.0ms	7×	body	160	valid
0.0ms	1×	body	2560	valid

simplify5.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1676
5	680
4	266
3	103
2	43
1	20
0	11

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.4b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
1.9b	(+ x (/ (* (- y x) (- z t)) (- a t)))
17.6b	(/ (* (- y x) (- z t)) (- a t))

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

122.0ms	(* (- y x) (- z t))
41.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
74.0ms	(/ (* (- y x) (- z t)) (- a t))

series1.2s

Counts

3 → 9

Calls

3 calls:

131.0ms	(* (- y x) (- z t))
630.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
389.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify2.8s

Counts

90 → 90

Iterations

Iter	Nodes
done	5002
2	1908
1	480
0	162

prune1.7s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.1b

localize65.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.7b	(/ (- y x) (/ (- a t) (- z t)))
1.9b	(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite753.0ms

Algorithm

rewrite-expression-head

Rules

330×	`times-frac`
323×	`*-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-exp-log` `add-cbrt-cube` `associate-/l*`
9×	`flip3--` `flip--`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 274

Calls

3 calls:

51.0ms	(/ (- a t) (- z t))
116.0ms	(/ (- y x) (/ (- a t) (- z t)))
384.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

series2.1s

Counts

3 → 9

Calls

3 calls:

219.0ms	(/ (- a t) (- z t))
1.0s	(/ (- y x) (/ (- a t) (- z t)))
837.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify7.1s

Counts

283 → 283

Iterations

Iter	Nodes
done	5000
2	3733
1	1146
0	354

prune2.9s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.1b

localize96.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.6b	(* (- y x) (/ (- z t) (- a t)))
1.9b	(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite439.0ms

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-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-l` `associate-/r` `flip--` `associate-/l` `add-log-exp`
4×	`associate-/r/`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 119

Calls

3 calls:

134.0ms	(/ (- z t) (- a t))
148.0ms	(* (- y x) (/ (- z t) (- a t)))
29.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

series1.3s

Counts

3 → 9

Calls

3 calls:

267.0ms	(/ (- z t) (- a t))
237.0ms	(* (- y x) (/ (- z t) (- a t)))
816.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

simplify5.9s

Counts

128 → 128

Iterations

Iter	Nodes
done	5001
2	1726
1	504
0	183

prune2.4s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.1b

localize102.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ t (- a t))
0.0b	(/ z (- a t))
1.6b	(* (- y x) (- (/ z (- a t)) (/ t (- a t))))
1.9b	(+ x (* (- y x) (- (/ z (- a t)) (/ t (- a t)))))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

72×	`*-un-lft-identity`
64×	`add-sqr-sqrt`
48×	`times-frac`
28×	`add-cube-cbrt`
21×	`distribute-lft-out--`
18×	`associate-r`
15×	`difference-of-squares`
12×	`flip3--` `flip--`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`frac-times` `associate-/r/`
6×	`pow1` `associate-/l*` `add-log-exp`
5×	`associate-l`
4×	`distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in` `associate-*r/` `div-inv`
3×	`distribute-rgt-out--` `frac-sub` `sub-div`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `associate-*l/` `clear-num`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 142

Calls

4 calls:

23.0ms	(/ t (- a t))
24.0ms	(/ z (- a t))
736.0ms	(* (- y x) (- (/ z (- a t)) (/ t (- a t))))
356.0ms	(+ x (* (- y x) (- (/ z (- a t)) (/ t (- a t)))))

series1.5s

Counts

4 → 12

Calls

4 calls:

202.0ms	(/ t (- a t))
229.0ms	(/ z (- a t))
420.0ms	(* (- y x) (- (/ z (- a t)) (/ t (- a t))))
636.0ms	(+ x (* (- y x) (- (/ z (- a t)) (/ t (- a t)))))

simplify6.1s

Counts

154 → 154

Iterations

Iter	Nodes
done	5008
2	2406
1	622
0	242

prune2.1s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 5.1b

regimes1.9s

Accuracy

11.7% (6.9b remaining)

Error of 10.9b against oracle of 4.0b and baseline of 11.8b

bsearch296.0ms

Steps

Iters	Range		Point
9	1.4872881677548498e-274	2.2755194218609991e-268	1.8487957053236215e-271
11	-1.7241454775920471e-236	-1.6320973364984178e-270	-3.5340213447103673e-239

simplify10.0ms

Iterations

Iter	Nodes
done	34
1	34
0	28

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.5s	7812×	body	80	valid
823.0ms	403×	body	320	valid
256.0ms	474×	body	640	valid
221.0ms	291×	body	1280	valid
41.0ms	272×	body	160	valid
7.0ms	15×	body	2560	valid