Details

sample28.0ms

Algorithm

intervals

Results

9.0ms	224×	body	80	valid
2.0ms	15×	body	640	valid
1.0ms	11×	body	1280	valid
1.0ms	18×	body	320	valid
1.0ms	11×	body	160	valid

simplify116.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	6
1	52	6
2	109	6
3	195	6
4	445	6
5	828	6
6	1434	6
7	2520	6
8	4830	6
9	5001	6
done	5001	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.7b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z t) y)
2.2b	(- (+ x y) (/ (* (- z t) y) (- a t)))
13.4b	(/ (* (- z t) y) (- a t))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

21.0ms	(* (- z t) y)
50.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
22.0ms	(/ (* (- z t) y) (- a t))

series221.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(* (- z t) y)
121.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
67.0ms	(/ (* (- z t) y) (- a t))

simplify43.0ms

Counts

79 → 79

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	383	461
1	1704	422
2	5001	422
done	5001	422

prune182.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
3.4b	(- (+ x y) (/ (- z t) (/ (- a t) y)))
10.9b	(/ (- z t) (/ (- a t) y))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

203×	`times-frac`
180×	`add-sqr-sqrt`
176×	`*-un-lft-identity`
87×	`add-cube-cbrt`
45×	`difference-of-squares`
44×	`distribute-lft-out--`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `flip3--` `div-sub` `flip--`
2×	`frac-2neg` `diff-log` `clear-num` `frac-sub`
1×	`sub-neg` `flip3-+` `associate--l+` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out` `associate--r-`

Counts

3 → 197

Calls

3 calls:

15.0ms	(/ (- a t) y)
83.0ms	(- (+ x y) (/ (- z t) (/ (- a t) y)))
29.0ms	(/ (- z t) (/ (- a t) y))

series244.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ (- a t) y)
117.0ms	(- (+ x y) (/ (- z t) (/ (- a t) y)))
100.0ms	(/ (- z t) (/ (- a t) y))

simplify75.0ms

Counts

206 → 206

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	853	1851
1	3326	1798
2	5001	1798
done	5001	1798

prune456.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
6.3b	(- y (/ (- z t) (/ (- a t) y)))
10.9b	(/ (- z t) (/ (- a t) y))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

203×	`times-frac`
180×	`add-sqr-sqrt`
174×	`*-un-lft-identity`
87×	`add-cube-cbrt`
45×	`difference-of-squares`
43×	`distribute-lft-out--`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `flip3--` `div-sub` `flip--`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`sub-neg` `distribute-rgt-out--` `diff-log` `associate--r-`

Counts

3 → 193

Calls

3 calls:

15.0ms	(/ (- a t) y)
55.0ms	(- y (/ (- z t) (/ (- a t) y)))
26.0ms	(/ (- z t) (/ (- a t) y))

series221.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ (- a t) y)
91.0ms	(- y (/ (- z t) (/ (- a t) y)))
103.0ms	(/ (- z t) (/ (- a t) y))

simplify70.0ms

Counts

202 → 202

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	773	1773
1	2975	1720
2	5001	1720
done	5001	1720

prune489.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.3b	(* y (- 1 (/ (- z t) (- a t))))
3.6b	(- 1 (/ (- z t) (- a t)))

rewrite264.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 101

Calls

3 calls:

21.0ms	(/ (- z t) (- a t))
187.0ms	(* y (- 1 (/ (- z t) (- a t))))
50.0ms	(- 1 (/ (- z t) (- a t)))

series225.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ (- z t) (- a t))
103.0ms	(* y (- 1 (/ (- z t) (- a t))))
68.0ms	(- 1 (/ (- z t) (- a t)))

simplify43.0ms

Counts

110 → 110

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	386	711
1	1432	667
2	5001	667
done	5001	667

prune249.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 2.9b

regimes338.0ms

Accuracy

5.5% (4.3b remaining)

Error of 7.3b against oracle of 3.0b and baseline of 7.5b

bsearch80.0ms

Steps

Iters	Range		Point
8	1.2678104251076142e-153	1.3034188112505846e-150	1.7574715544653617e-153
9	-1.2602120052598672e-54	-4.085464435492121e-63	-4.1525283229172323e-63

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	9
1	30	9
done	30	9

end0.0ms

sample739.0ms

Algorithm

intervals

Results

224.0ms	7357×	body	80	valid
49.0ms	476×	body	640	valid
40.0ms	287×	body	1280	valid
35.0ms	410×	body	320	valid
13.0ms	235×	body	160	valid
3.0ms	20×	body	2560	valid