Details

sample40.0ms

Algorithm

intervals

Results

17.0ms

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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize20.0ms

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))

rewrite455.0ms

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:

128.0ms	(+ (/ (- (* z y) x) (- (* z t) x)) x)
12.0ms	(- (* z y) x)
271.0ms	(/ (+ (/ (- (* z y) x) (- (* z t) x)) x) (+ x 1.0))
39.0ms	(/ (- (* z y) x) (- (* z t) x))

series437.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(+ (/ (- (* z y) x) (- (* z t) x)) x)
48.0ms	(- (* z y) x)
187.0ms	(/ (+ (/ (- (* z y) x) (- (* z t) x)) x) (+ x 1.0))
78.0ms	(/ (- (* z y) x) (- (* z t) x))

simplify804.0ms

Counts

110 → 110

Iterations

Iter	Nodes
done	5002
2	1858
1	429
0	162

prune551.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

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)

rewrite1.9s

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:

1.8s	(/ (+ (- (/ y (/ (- (* z t) x) z)) (/ x (- (* z t) x))) x) (+ x 1.0))
11.0ms	(/ x (- (* z t) x))
22.0ms	(/ y (/ (- (* z t) x) z))
23.0ms	(/ (- (* z t) x) z)

series428.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(/ (+ (- (/ y (/ (- (* z t) x) z)) (/ x (- (* z t) x))) x) (+ x 1.0))
78.0ms	(/ x (- (* z t) x))
67.0ms	(/ y (/ (- (* z t) x) z))
49.0ms	(/ (- (* z t) x) z)

simplify1.5s

Counts

187 → 187

Iterations

Iter	Nodes
done	5001
2	3530
1	759
0	291

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.8s

Algorithm

rewrite-expression-head

Rules

79×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
51×	`times-frac`
34×	`add-cube-cbrt`
16×	`distribute-lft-out`
13×	`associate-/r*`
11×	`associate-/l*`
10×	`add-cbrt-cube` `add-exp-log`
9×	`distribute-lft-out--`
8×	`difference-of-squares`
6×	`associate-/r/` `add-log-exp`
4×	`pow1`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `div-inv` `flip--`
2×	`flip3-+` `flip-+` `associate-/l/`
1×	`sub-neg` `diff-log` `div-sub` `associate-+l-`

Counts

4 → 128

Calls

4 calls:

10.0ms	(- (* z t) x)
1.7s	(/ (+ (- (/ y (- t (/ x z))) (/ x (- (* z t) x))) x) (+ x 1.0))
22.0ms	(/ x (- (* z t) x))
35.0ms	(/ y (- t (/ x z)))

series314.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (* z t) x)
162.0ms	(/ (+ (- (/ y (- t (/ x z))) (/ x (- (* z t) x))) x) (+ x 1.0))
77.0ms	(/ x (- (* z t) x))
39.0ms	(/ y (- t (/ x z)))

simplify1.2s

Counts

140 → 140

Iterations

Iter	Nodes
done	5000
2	1799
1	501
0	220

prune898.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite273.0ms

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:

174.0ms	(/ (- (/ x (- (* z t) x)) x) (+ 1.0 x))
14.0ms	(/ y (+ 1.0 x))
52.0ms	(/ (/ y (+ 1.0 x)) (- t (/ x z)))
18.0ms	(/ x (- (* z t) x))

series415.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(/ (- (/ x (- (* z t) x)) x) (+ 1.0 x))
63.0ms	(/ y (+ 1.0 x))
108.0ms	(/ (/ y (+ 1.0 x)) (- t (/ x z)))
108.0ms	(/ x (- (* z t) x))

simplify1.7s

Counts

274 → 274

Iterations

Iter	Nodes
done	5001
2	4375
1	1034
0	402

prune1.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes276.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	19
1	19
0	16

end0.0ms

sample1.3s

Algorithm

intervals

Results

822.0ms

8343×

body

valid