Details

sample37.0ms

Algorithm

intervals

Results

16.0ms

265×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	2841
6	706
5	238
4	102
3	60
2	35
1	23
0	13

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (- (* z y) x) (- (* z t) x)) x)
0.0b	(- (* z y) x)
0.2b	(/ (+ (/ (- (* z y) x) (- (* z t) x)) x) (+ x 1.0))
9.8b	(/ (- (* z y) x) (- (* z t) x))

rewrite395.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
25×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`distribute-lft-out`
8×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
7×	`associate-/r` `associate-/l`
4×	`pow1` `div-sub` `associate-/r/` `associate-/l/`
3×	`flip3-+` `flip3--` `flip-+` `flip--`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `associate-+l-` `div-inv`
1×	`+-commutative` `sum-log` `sub-neg` `diff-log`

Counts

4 → 98

Calls

4 calls:

96.0ms	(+ (/ (- (* z y) x) (- (* z t) x)) x)
12.0ms	(- (* z y) x)
239.0ms	(/ (+ (/ (- (* z y) x) (- (* z t) x)) x) (+ x 1.0))
46.0ms	(/ (- (* z y) x) (- (* z t) x))

series497.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(+ (/ (- (* z y) x) (- (* z t) x)) x)
28.0ms	(- (* z y) x)
264.0ms	(/ (+ (/ (- (* z y) x) (- (* z t) x)) x) (+ x 1.0))
76.0ms	(/ (- (* z y) x) (- (* z t) x))

simplify928.0ms

Counts

110 → 110

Iterations

Iter	Nodes
done	5002
2	1858
1	429
0	162

prune665.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (+ (- (/ y (/ (- (* z t) x) z)) (/ x (- (* z t) x))) x) (+ x 1.0))
3.1b	(/ x (- (* z t) x))
3.7b	(/ y (/ (- (* z t) x) z))
7.8b	(/ (- (* z t) x) z)

rewrite1.7s

Algorithm

rewrite-expression-head

Rules

113×	`times-frac`
110×	`*-un-lft-identity`
73×	`add-sqr-sqrt` `add-cube-cbrt`
23×	`associate-/r*`
16×	`distribute-lft-out`
15×	`add-cbrt-cube` `add-exp-log`
14×	`associate-/l*`
8×	`div-inv`
6×	`cbrt-undiv` `div-exp`
5×	`associate-/r/` `distribute-lft-out--`
4×	`pow1` `clear-num` `frac-2neg` `add-log-exp` `associate-/l/`
2×	`flip3-+` `flip3--` `div-sub` `flip-+` `flip--`
1×	`associate-+l-`

Counts

4 → 175

Calls

4 calls:

1.6s	(/ (+ (- (/ y (/ (- (* z t) x) z)) (/ x (- (* z t) x))) x) (+ x 1.0))
25.0ms	(/ x (- (* z t) x))
12.0ms	(/ y (/ (- (* z t) x) z))
16.0ms	(/ (- (* z t) x) z)

series388.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(/ (+ (- (/ y (/ (- (* z t) x) z)) (/ x (- (* z t) x))) x) (+ x 1.0))
92.0ms	(/ x (- (* z t) x))
47.0ms	(/ y (/ (- (* z t) x) z))
44.0ms	(/ (- (* z t) x) z)

simplify1.7s

Counts

187 → 187

Iterations

Iter	Nodes
done	5001
2	3530
1	759
0	291

prune1.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* z t) x)
0.2b	(/ (+ (- (/ y (- (* (/ z z) t) (/ x z))) (/ x (- (* z t) x))) x) (+ x 1.0))
3.1b	(/ x (- (* z t) x))
3.7b	(/ y (- (* (/ z z) t) (/ x z)))

rewrite1.9s

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
38×	`times-frac`
31×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`distribute-lft-out`
11×	`associate-/l*`
10×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
8×	`associate-/r/`
6×	`add-log-exp`
5×	`distribute-lft-out--`
4×	`pow1`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `div-inv` `flip--`
2×	`flip3-+` `associate-*l/` `flip-+` `associate-/l/`
1×	`sub-neg` `diff-log` `div-sub` `frac-sub` `associate-+l-` `sub-div`

Counts

4 → 118

Calls

4 calls:

11.0ms	(- (* z t) x)
1.8s	(/ (+ (- (/ y (- (* (/ z z) t) (/ x z))) (/ x (- (* z t) x))) x) (+ x 1.0))
21.0ms	(/ x (- (* z t) x))
46.0ms	(/ y (- (* (/ z z) t) (/ x z)))

series356.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (* z t) x)
191.0ms	(/ (+ (- (/ y (- (* (/ z z) t) (/ x z))) (/ x (- (* z t) x))) x) (+ x 1.0))
98.0ms	(/ x (- (* z t) x))
28.0ms	(/ y (- (* (/ z z) t) (/ x z)))

simplify926.0ms

Counts

130 → 130

Iterations

Iter	Nodes
done	5002
2	1988
1	509
0	210

prune789.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ x 1.0))
0.0b	(/ (- (/ x (- (* z t) x)) x) (+ x 1.0))
1.0b	(/ (/ y (+ x 1.0)) (- t (/ x z)))
3.1b	(/ x (- (* z t) x))

rewrite338.0ms

Algorithm

rewrite-expression-head

Rules

261×	`times-frac`
228×	`add-sqr-sqrt`
220×	`*-un-lft-identity`
108×	`add-cube-cbrt`
48×	`difference-of-squares`
32×	`distribute-lft-out`
30×	`associate-/l*`
24×	`distribute-lft-out--`
22×	`associate-/r/`
17×	`associate-/r*`
15×	`add-cbrt-cube` `add-exp-log`
11×	`div-inv`
9×	`flip3-+` `flip-+`
6×	`cbrt-undiv` `div-exp`
4×	`pow1` `clear-num` `frac-2neg` `add-log-exp`
3×	`flip3--` `flip--` `associate-/l/`
1×	`div-sub`

Counts

4 → 262

Calls

4 calls:

18.0ms	(/ y (+ x 1.0))
225.0ms	(/ (- (/ x (- (* z t) x)) x) (+ x 1.0))
47.0ms	(/ (/ y (+ x 1.0)) (- t (/ x z)))
21.0ms	(/ x (- (* z t) x))

series357.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ y (+ x 1.0))
121.0ms	(/ (- (/ x (- (* z t) x)) x) (+ x 1.0))
89.0ms	(/ (/ y (+ x 1.0)) (- t (/ x z)))
96.0ms	(/ x (- (* z t) x))

simplify1.6s

Counts

274 → 274

Iterations

Iter	Nodes
done	5000
2	4350
1	1035
0	403

prune1.8s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes294.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	20
2	20
1	19
0	17

end0.0ms

sample1.2s

Algorithm

intervals

Results

758.0ms

8343×

body

valid