Details

sample21.0ms

Algorithm

intervals

Results

7.0ms

284×

body

valid

simplify574.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	35	11
3	56	11
4	94	11
5	140	11
6	167	11
7	183	11
8	206	11
9	239	11
10	296	11
11	328	11
12	370	11
13	405	11
14	417	11
done	417	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
1.4b	(* y (/ (- z t) (- z a)))

rewrite75.0ms

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) (- z a))))
21.0ms	(/ (- z t) (- z a))
43.0ms	(* y (/ (- z t) (- z a)))

series199.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(+ x (* y (/ (- z t) (- z a))))
44.0ms	(/ (- z t) (- z a))
71.0ms	(* y (/ (- z t) (- z a)))

simplify1.5s

Counts

122 → 122

Iterations

Useful iterations: 2 (161.0ms)

Iter	Nodes	Cost
0	162	1555
1	419	1454
2	1176	1368
3	3710	1368
done	5001	1368

prune257.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z a))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

4.0ms	(cbrt (- z a))
4.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))

series579.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(cbrt (- z a))
146.0ms	(cbrt (- z t))
140.0ms	(cbrt (- z t))
144.0ms	(cbrt (- z t))

simplify1.4s

Counts

72 → 72

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	118	744
1	245	728
2	486	696
3	1009	650
4	2514	596
done	5001	580

prune281.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (- (/ z (- z a)) (/ t (- z a)))))
0.0b	(/ t (- z a))
0.0b	(/ z (- z a))
1.4b	(* y (- (/ z (- z a)) (/ t (- z a))))

rewrite273.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 130

Calls

4 calls:

25.0ms	(+ x (* y (- (/ z (- z a)) (/ t (- z a)))))
10.0ms	(/ t (- z a))
11.0ms	(/ z (- z a))
222.0ms	(* y (- (/ z (- z a)) (/ t (- z a))))

series301.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(+ x (* y (- (/ z (- z a)) (/ t (- z a)))))
30.0ms	(/ t (- z a))
45.0ms	(/ z (- z a))
138.0ms	(* y (- (/ z (- z a)) (/ t (- z a))))

simplify1.2s

Counts

142 → 142

Iterations

Useful iterations: 2 (166.0ms)

Iter	Nodes	Cost
0	204	1693
1	464	1565
2	1073	1487
3	2906	1487
done	5000	1487

prune314.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- z a))
0.0b	(+ x (* (/ y (- z a)) (- z t)))
9.5b	(* (/ y (- z a)) (- z t))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 102

Calls

3 calls:

10.0ms	(/ y (- z a))
7.0ms	(+ x (* (/ y (- z a)) (- z t)))
45.0ms	(* (/ y (- z a)) (- z t))

series236.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ y (- z a))
88.0ms	(+ x (* (/ y (- z a)) (- z t)))
116.0ms	(* (/ y (- z a)) (- z t))

simplify2.1s

Counts

111 → 111

Iterations

Useful iterations: 2 (177.0ms)

Iter	Nodes	Cost
0	166	1289
1	416	1232
2	1320	1152
3	4682	1152
done	5000	1152

prune228.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes104.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	13	15
done	13	15

end0.0ms

sample587.0ms

Algorithm

intervals

Results

245.0ms	8700×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid