Details

sample39.0ms

Algorithm

intervals

Results

10.0ms	252×	body	80	valid
3.0ms	21×	body	640	valid
2.0ms	9×	body	1280	valid
2.0ms	15×	body	320	valid
1.0ms	9×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.1b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
3.0b	(+ x (/ (* (- y x) (- z t)) (- a t)))
18.4b	(/ (* (- y x) (- z t)) (- a t))

rewrite120.0ms

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`
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 → 81

Calls

3 calls:

45.0ms	(* (- y x) (- z t))
32.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
39.0ms	(/ (* (- y x) (- z t)) (- a t))

series440.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(* (- y x) (- z t))
223.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
175.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify1.3s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	2654
1	480
0	162

prune525.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.2b	(* (- y x) (/ (- z t) (- a t)))
3.0b	(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite80.0ms

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:

19.0ms	(/ (- z t) (- a t))
48.0ms	(* (- y x) (/ (- z t) (- a t)))
10.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

series364.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(/ (- z t) (- a t))
124.0ms	(* (- y x) (/ (- z t) (- a t)))
177.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

simplify1.5s

Counts

128 → 128

Iterations

Iter	Nodes
done	5001
2	2596
1	504
0	183

prune635.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.1b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.5b	(/ (- y x) (/ (- a t) (- z t)))
3.0b	(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite146.0ms

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

Counts

3 → 274

Calls

3 calls:

18.0ms	(/ (- a t) (- z t))
36.0ms	(/ (- y x) (/ (- a t) (- z t)))
75.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

series460.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ (- a t) (- z t))
215.0ms	(/ (- y x) (/ (- a t) (- z t)))
192.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify838.0ms

Counts

283 → 283

Iterations

Iter	Nodes
done	5000
1	1152
0	354

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 4.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* (- z t) (/ 1 (- a t)))
1.2b	(* (- y x) (* (- z t) (/ 1 (- a t))))
4.5b	(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
32×	`times-frac` `add-exp-log`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`frac-times` `add-cbrt-cube`
17×	`flip3--` `flip--`
13×	`prod-exp`
12×	`pow1`
10×	`associate-l` `associate-l/` `associate-r/`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`div-exp` `add-log-exp`
5×	`associate-/r*`
4×	`pow-prod-down` `associate-/r/` `un-div-inv`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`*-commutative` `div-inv`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 146

Calls

4 calls:

10.0ms	(/ 1 (- a t))
60.0ms	(* (- z t) (/ 1 (- a t)))
98.0ms	(* (- y x) (* (- z t) (/ 1 (- a t))))
13.0ms	(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

series508.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(/ 1 (- a t))
64.0ms	(* (- z t) (/ 1 (- a t)))
150.0ms	(* (- y x) (* (- z t) (/ 1 (- a t))))
235.0ms	(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

simplify3.7s

Counts

158 → 158

Iterations

Iter	Nodes
done	5000
2	4379
1	619
0	221

prune791.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 4.1b

regimes615.0ms

Accuracy

19.5% (6.0b remaining)

Error of 9.9b against oracle of 3.9b and baseline of 11.3b

bsearch178.0ms

Steps

Iters	Range		Point
9	8.154765957816058e-175	1.7515810259041272e-168	2.3967514471492045e-172
9	-1.2301964349234296e-173	-4.026234234862855e-179	-3.558394661228404e-174

simplify4.0ms

Iterations

Iter	Nodes
done	30
1	30
0	23

end0.0ms

sample1.6s

Algorithm

intervals

Results

655.0ms	7795×	body	80	valid
132.0ms	491×	body	640	valid
102.0ms	264×	body	1280	valid
60.0ms	372×	body	320	valid
28.0ms	267×	body	160	valid
6.0ms	20×	body	2560	valid