Details

sample52.0ms

Algorithm

intervals

Results

15.0ms	238×	body	80	valid
4.0ms	17×	body	640	valid
3.0ms	11×	body	1280	valid
2.0ms	12×	body	320	valid
1.0ms	10×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	1598
5	656
4	266
3	103
2	43
1	20
0	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.8b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
3.1b	(+ x (/ (* (- y x) (- z t)) (- a t)))
14.3b	(/ (* (- y x) (- z t)) (- a t))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`flip3--` `flip--`
10×	`add-cbrt-cube` `add-exp-log`
8×	`frac-times` `associate-/l/`
7×	`add-cube-cbrt`
5×	`pow1` `associate-/r` `times-frac` `associate-r` `associate-l*` `add-log-exp`
4×	`associate-l/` `associate-r/` `distribute-lft-out--` `difference-of-squares`
3×	`insert-posit16`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 84

Calls

3 calls:

40.0ms	(* (- y x) (- z t))
22.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
36.0ms	(/ (* (- y x) (- z t)) (- a t))

series398.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(* (- y x) (- z t))
201.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
152.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify1.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	5008
2	1910
1	483
0	165

prune484.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.3b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.2b	(* (- y x) (/ (- z t) (- a t)))
3.1b	(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite79.0ms

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/`
3×	`insert-posit16`
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 → 122

Calls

3 calls:

18.0ms	(/ (- z t) (- a t))
52.0ms	(* (- y x) (/ (- z t) (- a t)))
7.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

series463.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(/ (- z t) (- a t))
163.0ms	(* (- y x) (/ (- z t) (- a t)))
220.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

simplify1.5s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
2	1734
1	507
0	186

prune607.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.3b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
2.3b	(/ (- y x) (/ (- a t) (- z t)))
3.1b	(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite79.0ms

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-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` `div-sub` `insert-posit16`
2×	`clear-num` `frac-2neg`
1×	`+-commutative` `associate-+r-` `sum-log` `flip3-+` `flip-+` `distribute-lft-out`

Counts

3 → 277

Calls

3 calls:

16.0ms	(/ (- a t) (- z t))
25.0ms	(/ (- y x) (/ (- a t) (- z t)))
31.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

series602.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ (- a t) (- z t))
311.0ms	(/ (- y x) (/ (- a t) (- z t)))
237.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify2.1s

Counts

286 → 286

Iterations

Iter	Nodes
done	5000
2	3910
1	1153
0	357

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.3b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ a (- z t)) (/ t (- z t)))
0.0b	(/ t (- z t))
2.3b	(/ (- y x) (- (/ a (- z t)) (/ t (- z t))))
3.1b	(+ x (/ (- y x) (- (/ a (- z t)) (/ t (- z t)))))

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

283×	`*-un-lft-identity`
231×	`times-frac`
211×	`add-sqr-sqrt`
107×	`distribute-lft-out--`
65×	`difference-of-squares`
53×	`add-cube-cbrt`
34×	`associate-/r/`
23×	`associate-/r*`
21×	`distribute-rgt-out--`
18×	`flip3--` `flip--`
16×	`div-inv`
8×	`add-cbrt-cube` `add-exp-log` `associate-/l*` `add-log-exp`
4×	`pow1` `insert-posit16`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `frac-sub` `sub-div` `associate-/l/`
1×	`+-commutative` `associate-+r-` `sum-log` `sub-neg` `flip3-+` `diff-log` `flip-+` `distribute-lft-out`

Counts

4 → 215

Calls

4 calls:

41.0ms	(- (/ a (- z t)) (/ t (- z t)))
8.0ms	(/ t (- z t))
55.0ms	(/ (- y x) (- (/ a (- z t)) (/ t (- z t))))
90.0ms	(+ x (/ (- y x) (- (/ a (- z t)) (/ t (- z t)))))

series546.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(- (/ a (- z t)) (/ t (- z t)))
60.0ms	(/ t (- z t))
198.0ms	(/ (- y x) (- (/ a (- z t)) (/ t (- z t))))
192.0ms	(+ x (/ (- y x) (- (/ a (- z t)) (/ t (- z t)))))

simplify1.6s

Counts

227 → 227

Iterations

Iter	Nodes
done	5000
2	2134
1	770
0	312

prune850.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.3b

regimes708.0ms

Accuracy

43.6% (4.3b remaining)

Error of 8.7b against oracle of 4.4b and baseline of 12.0b

bsearch2.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	44
1	44
0	35

end0.0ms

sample1.6s

Algorithm

intervals

Results

904.0ms	7722×	body	80	valid
133.0ms	470×	body	640	valid
101.0ms	264×	body	1280	valid
69.0ms	427×	body	320	valid
35.0ms	324×	body	160	valid
6.0ms	17×	body	2560	valid