Details

sample36.0ms

Algorithm

intervals

Results

11.0ms

338×

body

valid

simplify4.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
15	4637
14	3604
13	1771
12	909
11	592
10	461
9	348
8	266
7	202
6	169
5	138
4	96
3	56
2	25
1	14
0	8

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
4.6b	(* (- y x) (/ z t))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

6.0ms	(+ x (* (- y x) (/ z t)))
39.0ms	(* (- y x) (/ z t))

series122.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(+ x (* (- y x) (/ z t)))
76.0ms	(* (- y x) (/ z t))

simplify2.8s

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
3	4818
2	1043
1	308
0	115

prune340.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (- (/ (* z y) t) (/ (* x z) t)))
0.0b	(- (/ (* z y) t) (/ (* x z) t))
6.9b	(/ (* x z) t)
7.7b	(/ (* z y) t)

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
14×	`add-cbrt-cube` `add-exp-log`
11×	`add-log-exp`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt`
6×	`associate-/r*` `times-frac`
4×	`pow1` `cbrt-undiv` `div-exp` `div-inv`
2×	`associate-+r+` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `prod-exp` `cbrt-unprod` `distribute-lft-out` `associate-/l*` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `flip3-+` `flip3--` `distribute-rgt-out--` `frac-sub` `flip-+` `flip--` `sub-div` `difference-of-squares`

Counts

4 → 76

Calls

4 calls:

46.0ms	(+ x (- (/ (* z y) t) (/ (* x z) t)))
22.0ms	(- (/ (* z y) t) (/ (* x z) t))
8.0ms	(/ (* x z) t)
8.0ms	(/ (* z y) t)

series165.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ x (- (/ (* z y) t) (/ (* x z) t)))
54.0ms	(- (/ (* z y) t) (/ (* x z) t))
29.0ms	(/ (* x z) t)
38.0ms	(/ (* z y) t)

simplify1.3s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	1430
1	358
0	128

prune583.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (- (/ z (/ t y)) (/ (* x z) t)))
0.0b	(- (/ z (/ t y)) (/ (* x z) t))
6.9b	(/ (* x z) t)
9.3b	(/ z (/ t y))

rewrite246.0ms

Algorithm

rewrite-expression-head

Rules

81×	`times-frac`
57×	`add-sqr-sqrt`
55×	`*-un-lft-identity`
48×	`add-cube-cbrt`
16×	`associate-/r*`
14×	`add-cbrt-cube` `add-exp-log`
11×	`add-log-exp`
6×	`div-inv`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `associate-/l*`
3×	`difference-of-squares`
2×	`associate-+r+` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `flip3-+` `flip3--` `prod-exp` `associate-/r/` `frac-sub` `cbrt-unprod` `flip-+` `flip--`

Counts

4 → 125

Calls

4 calls:

135.0ms	(+ x (- (/ z (/ t y)) (/ (* x z) t)))
76.0ms	(- (/ z (/ t y)) (/ (* x z) t))
16.0ms	(/ (* x z) t)
15.0ms	(/ z (/ t y))

series201.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(+ x (- (/ z (/ t y)) (/ (* x z) t)))
71.0ms	(- (/ z (/ t y)) (/ (* x z) t))
29.0ms	(/ (* x z) t)
31.0ms	(/ z (/ t y))

simplify1.6s

Counts

137 → 137

Iterations

Iter	Nodes
done	5001
2	2177
1	606
0	236

prune802.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 (/ (/ t y) z)) (/ (* x z) t))
0.4b	(/ 1 (/ (/ t y) z))
6.9b	(/ (* x z) t)
9.1b	(/ (/ t y) z)

rewrite271.0ms

Algorithm

rewrite-expression-head

Rules

483×	`times-frac`
255×	`add-sqr-sqrt`
238×	`*-un-lft-identity`
232×	`add-cube-cbrt`
49×	`associate-/r*`
35×	`add-exp-log`
24×	`div-inv`
23×	`add-cbrt-cube`
20×	`div-exp`
17×	`associate-/l*`
11×	`cbrt-undiv`
7×	`difference-of-squares`
6×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
2×	`distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `prod-exp` `associate-/r/` `frac-sub` `cbrt-unprod` `pow-flip` `flip--` `inv-pow` `associate-/l/`

Counts

4 → 313

Calls

4 calls:

198.0ms	(- (/ 1 (/ (/ t y) z)) (/ (* x z) t))
18.0ms	(/ 1 (/ (/ t y) z))
12.0ms	(/ (* x z) t)
13.0ms	(/ (/ t y) z)

series140.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(- (/ 1 (/ (/ t y) z)) (/ (* x z) t))
33.0ms	(/ 1 (/ (/ t y) z))
29.0ms	(/ (* x z) t)
22.0ms	(/ (/ t y) z)

simplify2.1s

Counts

325 → 325

Iterations

Iter	Nodes
done	5005
2	3685
1	1370
0	495

prune1.7s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes507.0ms

Accuracy

1.2% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch132.0ms

Steps

Iters	Range		Point
10	2.089064597584604e-160	7.93476872649392e-143	1.4085585403251575e-159
6	-1.8684105667851538e-191	-3.3689684840618376e-192	-1.1468504469644174e-191

simplify5.0ms

Iterations

Iter	Nodes
done	32
1	32
0	23

end0.0ms

sample1.7s

Algorithm

intervals

Results

582.0ms

10566×

body

valid