Details

sample59.0ms

Algorithm

intervals

Results

18.0ms	243×	body	80	valid
5.0ms	18×	body	640	valid
3.0ms	14×	body	320	valid
1.0ms	10×	body	160	valid
1.0ms	3×	body	1280	valid
0.0ms	1×	body	2560	valid

simplify15.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	20	13
2	45	13
3	111	13
4	288	13
5	633	13
6	1189	13
7	2048	13
8	2872	13
9	3396	13
10	3629	13
11	3899	13
12	4189	13
done	5001	13

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.9b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
2.7b	(+ x (/ (* (- y x) (- z t)) (- a t)))
18.5b	(/ (* (- y x) (- z t)) (- a t))

rewrite122.0ms

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:

41.0ms	(* (- y x) (- z t))
23.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
54.0ms	(/ (* (- y x) (- z t)) (- a t))

series506.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* (- y x) (- z t))
267.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
191.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify1.3s

Counts

90 → 90

Iterations

Useful iterations: 2 (273.0ms)

Iter	Nodes	Cost
0	162	1284
1	468	1213
2	1991	1111
done	5000	1111

prune340.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.6b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.5b	(* (- y x) (/ (- z t) (- a t)))
2.7b	(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite156.0ms

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:

37.0ms	(/ (- z t) (- a t))
98.0ms	(* (- y x) (/ (- z t) (- a t)))
16.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

series418.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/ (- z t) (- a t))
140.0ms	(* (- y x) (/ (- z t) (- a t)))
220.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

simplify1.0s

Counts

128 → 128

Iterations

Useful iterations: 2 (280.0ms)

Iter	Nodes	Cost
0	183	1813
1	472	1704
2	1748	1606
done	5001	1606

prune354.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.6b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* (- z t) (/ 1 (- a t)))
2.5b	(* (- y x) (* (- z t) (/ 1 (- a t))))
3.4b	(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`frac-times` `add-cbrt-cube`
17×	`flip3--` `flip--`
13×	`prod-exp`
12×	`pow1`
10×	`associate-r/` `associate-l` `associate-l/`
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` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 146

Calls

4 calls:

19.0ms	(/ 1 (- a t))
61.0ms	(* (- z t) (/ 1 (- a t)))
93.0ms	(* (- y x) (* (- z t) (/ 1 (- a t))))
18.0ms	(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

series500.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ 1 (- a t))
60.0ms	(* (- z t) (/ 1 (- a t)))
164.0ms	(* (- y x) (* (- z t) (/ 1 (- a t))))
228.0ms	(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

simplify1.3s

Counts

158 → 158

Iterations

Useful iterations: 2 (385.0ms)

Iter	Nodes	Cost
0	221	2286
1	564	1896
2	2114	1716
done	5002	1716

prune456.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.6b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
2.5b	(/ (- y x) (/ (- a t) (- z t)))
2.7b	(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite237.0ms

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:

32.0ms	(/ (- a t) (- z t))
56.0ms	(/ (- y x) (/ (- a t) (- z t)))
113.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

series599.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(/ (- a t) (- z t))
287.0ms	(/ (- y x) (/ (- a t) (- z t)))
236.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify1.7s

Counts

283 → 283

Iterations

Useful iterations: 2 (819.0ms)

Iter	Nodes	Cost
0	354	5984
1	1010	5625
2	3649	5487
done	5001	5487

prune838.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 4.4b

regimes379.0ms

Accuracy

3.2% (7.3b remaining)

Error of 11.5b against oracle of 4.3b and baseline of 11.7b

bsearch150.0ms

Steps

Iters	Range		Point
9	2.687418488347498e-108	8.007167870481151e-101	2.7287060878539615e-108
6	-3.4395002952206196e-47	-2.326874170678e-48	-2.3682541366163105e-48

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	51
1	38	51
done	38	51

end0.0ms

sample1.5s

Algorithm

intervals

Results

620.0ms	7760×	body	80	valid
125.0ms	441×	body	320	valid
86.0ms	463×	body	640	valid
61.0ms	275×	body	1280	valid
25.0ms	254×	body	160	valid
6.0ms	21×	body	2560	valid