Details

sample49.0ms

Algorithm

intervals

Results

23.0ms	222×	body	80	valid
2.0ms	13×	body	1280	valid
2.0ms	15×	body	640	valid
2.0ms	16×	body	320	valid
1.0ms	9×	body	160	valid

simplify9.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	22	13
2	52	13
3	107	13
4	186	13
5	380	13
6	529	13
7	668	13
8	820	13
9	969	13
10	1222	13
11	1531	13
12	2279	13
13	3564	13
done	5000	13

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.2b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z t) y)
2.2b	(- (+ x y) (/ (* (- z t) y) (- a t)))
12.0b	(/ (* (- z t) y) (- a t))

rewrite164.0ms

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:

29.0ms	(* (- z t) y)
71.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
62.0ms	(/ (* (- z t) y) (- a t))

series309.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(* (- z t) y)
179.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
93.0ms	(/ (* (- z t) y) (- a t))

simplify1.2s

Counts

79 → 79

Iterations

Useful iterations: 2 (268.0ms)

Iter	Nodes	Cost
0	150	1010
1	382	951
2	1543	873
done	5000	873

prune218.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.4b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- a t))
3.5b	(- (+ x y) (* (- z t) (/ y (- a t))))
9.1b	(* (- z t) (/ y (- a t)))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 107

Calls

3 calls:

14.0ms	(/ y (- a t))
47.0ms	(- (+ x y) (* (- z t) (/ y (- a t))))
62.0ms	(* (- z t) (/ y (- a t)))

series304.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ y (- a t))
168.0ms	(- (+ x y) (* (- z t) (/ y (- a t))))
90.0ms	(* (- z t) (/ y (- a t)))

simplify1.4s

Counts

116 → 116

Iterations

Useful iterations: 2 (308.0ms)

Iter	Nodes	Cost
0	209	1798
1	556	1681
2	2322	1603
done	5001	1603

prune437.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (- y (* (- z t) (/ y (- a t)))))
0.0b	(/ y (- a t))
5.1b	(- y (* (- z t) (/ y (- a t))))
9.1b	(* (- z t) (/ y (- a t)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

14.0ms	(+ x (- y (* (- z t) (/ y (- a t)))))
12.0ms	(/ y (- a t))
9.0ms	(- y (* (- z t) (/ y (- a t))))
65.0ms	(* (- z t) (/ y (- a t)))

series422.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(+ x (- y (* (- z t) (/ y (- a t)))))
49.0ms	(/ y (- a t))
126.0ms	(- y (* (- z t) (/ y (- a t))))
98.0ms	(* (- z t) (/ y (- a t)))

simplify1.2s

Counts

123 → 123

Iterations

Useful iterations: 2 (232.0ms)

Iter	Nodes	Cost
0	174	1533
1	404	1417
2	1438	1339
done	5000	1339

prune454.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 4.0b

localize25.0ms

Local error

Found 4 expressions with local error:

5.1b	(- y (* (- z t) (/ y (- a t))))
9.1b	(* (- z t) (/ y (- a t)))
9.1b	(* (- z t) (/ y (- a t)))
9.1b	(* (- z t) (/ y (- a t)))

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-sqr-sqrt`
63×	`associate-r`
58×	`*-un-lft-identity`
48×	`times-frac`
34×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
15×	`associate-l`
12×	`distribute-lft-out--` `difference-of-squares`
10×	`pow1` `flip3--` `flip--`
6×	`frac-times` `associate-*l/` `prod-exp` `associate-/r/` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv`
1×	`sub-neg` `diff-log`

Counts

4 → 150

Calls

4 calls:

7.0ms	(- y (* (- z t) (/ y (- a t))))
61.0ms	(* (- z t) (/ y (- a t)))
58.0ms	(* (- z t) (/ y (- a t)))
83.0ms	(* (- z t) (/ y (- a t)))

series350.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(- y (* (- z t) (/ y (- a t))))
78.0ms	(* (- z t) (/ y (- a t)))
76.0ms	(* (- z t) (/ y (- a t)))
91.0ms	(* (- z t) (/ y (- a t)))

simplify1.3s

Counts

162 → 162

Iterations

Useful iterations: 2 (140.0ms)

Iter	Nodes	Cost
0	130	2039
1	310	1881
2	1214	1757
done	5000	1757

prune672.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 3.9b

regimes463.0ms

Accuracy

6.2% (5.1b remaining)

Error of 8.6b against oracle of 3.5b and baseline of 8.9b

bsearch97.0ms

Steps

Iters	Range		Point
4	1.4012679253035262e-175	2.500927358240053e-175	2.2603768572851875e-175
8	-6.0670977411856306e-27	-2.0094099798464328e-30	-1.1090092112746085e-28

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	20	41
1	27	29
done	27	29

end0.0ms

sample1.9s

Algorithm

intervals

Results

931.0ms	7303×	body	80	valid
99.0ms	460×	body	640	valid
97.0ms	371×	body	320	valid
68.0ms	252×	body	1280	valid
32.0ms	282×	body	160	valid
7.0ms	21×	body	2560	valid