Details

sample33.0ms

Algorithm

intervals

Results

16.0ms

276×

body

valid

simplify709.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	34	11
3	55	11
4	93	11
5	139	11
6	166	11
7	183	11
8	205	11
9	238	11
10	295	11
11	327	11
12	371	11
13	406	11
14	418	11
done	418	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `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 → 113

Calls

3 calls:

6.0ms	(+ x (* y (/ (- z t) (- a t))))
35.0ms	(/ (- z t) (- a t))
56.0ms	(* y (/ (- z t) (- a t)))

series298.0ms

Counts

3 → 9

Calls

3 calls:

139.0ms	(+ x (* y (/ (- z t) (- a t))))
69.0ms	(/ (- z t) (- a t))
91.0ms	(* y (/ (- z t) (- a t)))

simplify1.5s

Counts

122 → 122

Iterations

Useful iterations: 2 (163.0ms)

Iter	Nodes	Cost
0	162	1555
1	417	1454
2	1178	1368
3	3704	1368
done	5000	1368

prune278.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* 1 (* (- z t) (/ y (- a t)))))
0.0b	(/ y (- a t))
12.4b	(* (- z t) (/ y (- a t)))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 95

Calls

3 calls:

17.0ms	(+ x (* 1 (* (- z t) (/ y (- a t)))))
18.0ms	(/ y (- a t))
71.0ms	(* (- z t) (/ y (- a t)))

series265.0ms

Counts

3 → 9

Calls

3 calls:

130.0ms	(+ x (* 1 (* (- z t) (/ y (- a t)))))
39.0ms	(/ y (- a t))
96.0ms	(* (- z t) (/ y (- a t)))

simplify1.3s

Counts

104 → 104

Iterations

Useful iterations: 2 (194.0ms)

Iter	Nodes	Cost
0	158	1260
1	374	1149
2	1345	1071
done	5001	1071

prune323.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (* (* y (- z t)) (/ 1 (- a t))))
0.0b	(/ 1 (- a t))
12.2b	(* (* y (- z t)) (/ 1 (- a t)))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

34.0ms	(* y (- z t))
7.0ms	(+ x (* (* y (- z t)) (/ 1 (- a t))))
12.0ms	(/ 1 (- a t))
57.0ms	(* (* y (- z t)) (/ 1 (- a t)))

series276.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* y (- z t))
91.0ms	(+ x (* (* y (- z t)) (/ 1 (- a t))))
47.0ms	(/ 1 (- a t))
99.0ms	(* (* y (- z t)) (/ 1 (- a t)))

simplify1.2s

Counts

140 → 140

Iterations

Useful iterations: 2 (353.0ms)

Iter	Nodes	Cost
0	185	1645
1	470	1351
2	1527	1203
done	5000	1203

prune413.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- a t))
0.1b	(/ y (sqrt (- a t)))
0.2b	(/ (- z t) (sqrt (- a t)))
3.6b	(* (/ (- z t) (sqrt (- a t))) (/ y (sqrt (- a t))))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

180×	`add-sqr-sqrt`
149×	`*-un-lft-identity`
140×	`times-frac`
101×	`sqrt-prod`
77×	`add-cube-cbrt`
46×	`associate-l`
36×	`distribute-lft-out--` `difference-of-squares`
30×	`associate-r`
20×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*`
10×	`sqrt-div`
9×	`unswap-sqr`
8×	`associate-/r/` `associate-/l*`
7×	`pow1`
6×	`cbrt-undiv` `flip3--` `div-exp` `flip--`
4×	`prod-exp` `cbrt-unprod` `div-inv` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 241

Calls

4 calls:

12.0ms	(sqrt (- a t))
18.0ms	(/ y (sqrt (- a t)))
33.0ms	(/ (- z t) (sqrt (- a t)))
135.0ms	(* (/ (- z t) (sqrt (- a t))) (/ y (sqrt (- a t))))

series446.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(sqrt (- a t))
107.0ms	(/ y (sqrt (- a t)))
112.0ms	(/ (- z t) (sqrt (- a t)))
141.0ms	(* (/ (- z t) (sqrt (- a t))) (/ y (sqrt (- a t))))

simplify1.4s

Counts

253 → 253

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	303	4090
1	808	3814
2	2289	3478
done	5000	3464

prune778.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes294.0ms

Accuracy

74.9% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.3b

bsearch96.0ms

Steps

Iters	Range		Point
8	7.53926619058398e-57	3.377665568612396e-52	3.2057391781882634e-56
8	-6.778815163455355e-35	-5.900459728831861e-38	-4.637379201468954e-36

simplify17.0ms

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	21	43
1	31	33
done	31	33

end0.0ms

sample1.3s

Algorithm

intervals

Results

912.0ms	8723×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	160	valid