Details

sample47.0ms

Algorithm

intervals

Results

26.0ms

267×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	2713
7	1331
6	448
5	184
4	101
3	60
2	35
1	23
0	13

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* t z) x)
0.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.0b	(/ (- (* y z) x) (- (* t z) x))

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
25×	`times-frac`
21×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-lft-out`
7×	`associate-/r` `add-cbrt-cube` `add-exp-log` `associate-/l`
5×	`add-log-exp`
4×	`associate-/r/` `associate-/l/`
3×	`pow1` `flip3--` `div-sub` `insert-posit16` `flip--`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv`
1×	`associate-+r-` `sub-neg` `diff-log`

Counts

3 → 88

Calls

3 calls:

14.0ms	(- (* t z) x)
161.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
41.0ms	(/ (- (* y z) x) (- (* t z) x))

series306.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(- (* t z) x)
192.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
85.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify2.5s

Counts

97 → 97

Iterations

Iter	Nodes
done	5004
3	4326
2	1149
1	394
0	154

prune586.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))
0.0b	(/ (+ x (- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))) (+ x 1.0))
3.3b	(/ x (- (* t z) x))
9.5b	(/ (* y z) (- (* t z) x))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
33×	`times-frac`
30×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
16×	`distribute-lft-out`
13×	`add-cbrt-cube` `add-exp-log`
10×	`associate-/r*` `associate-/r/`
9×	`associate-/l*`
6×	`distribute-lft-out--` `add-log-exp`
5×	`flip3--` `div-inv` `flip--`
4×	`pow1` `cbrt-undiv` `div-exp` `insert-posit16`
3×	`clear-num` `frac-2neg` `distribute-rgt-out--`
2×	`flip3-+` `flip-+` `difference-of-squares` `associate-/l/`
1×	`associate-+r-` `sub-neg` `diff-log` `div-sub` `prod-exp` `frac-sub` `cbrt-unprod` `sub-div`

Counts

4 → 122

Calls

4 calls:

126.0ms	(- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))
990.0ms	(/ (+ x (- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))) (+ x 1.0))
27.0ms	(/ x (- (* t z) x))
45.0ms	(/ (* y z) (- (* t z) x))

series388.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))
174.0ms	(/ (+ x (- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))) (+ x 1.0))
87.0ms	(/ x (- (* t z) x))
41.0ms	(/ (* y z) (- (* t z) x))

simplify1.9s

Counts

134 → 134

Iterations

Iter	Nodes
done	5002
2	1807
1	508
0	201

prune675.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x (- (/ y (/ (- (* t z) x) z)) (/ x (- (* t z) x)))) (+ x 1.0))
2.5b	(/ y (/ (- (* t z) x) z))
3.3b	(/ x (- (* t z) x))
8.3b	(/ (- (* t z) x) z)

rewrite1.2s

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` `insert-posit16` `add-log-exp` `associate-/l/`
2×	`flip3-+` `flip3--` `div-sub` `flip-+` `flip--`
1×	`associate-+r-`

Counts

4 → 179

Calls

4 calls:

1.1s	(/ (+ x (- (/ y (/ (- (* t z) x) z)) (/ x (- (* t z) x)))) (+ x 1.0))
27.0ms	(/ y (/ (- (* t z) x) z))
19.0ms	(/ x (- (* t z) x))
38.0ms	(/ (- (* t z) x) z)

series397.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(/ (+ x (- (/ y (/ (- (* t z) x) z)) (/ x (- (* t z) x)))) (+ x 1.0))
49.0ms	(/ y (/ (- (* t z) x) z))
90.0ms	(/ x (- (* t z) x))
52.0ms	(/ (- (* t z) x) z)

simplify2.2s

Counts

191 → 191

Iterations

Iter	Nodes
done	5001
2	2475
1	729
0	288

prune1.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ y (- t (/ x z))) (/ x (- (* t z) x)))
0.0b	(/ (+ x (- (/ y (- t (/ x z))) (/ x (- (* t z) x)))) (+ x 1.0))
2.5b	(/ y (- t (/ x z)))
3.3b	(/ x (- (* t z) x))

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

90×	`*-un-lft-identity`
66×	`add-sqr-sqrt`
59×	`times-frac`
34×	`add-cube-cbrt`
16×	`distribute-lft-out`
13×	`associate-/r*` `distribute-lft-out--`
12×	`difference-of-squares`
11×	`associate-/l*`
10×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r/` `add-log-exp`
4×	`pow1` `insert-posit16`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `div-inv` `flip--`
2×	`flip3-+` `flip-+` `associate-/l/`
1×	`associate-+r-` `sub-neg` `diff-log` `div-sub` `frac-sub`

Counts

4 → 140

Calls

4 calls:

184.0ms	(- (/ y (- t (/ x z))) (/ x (- (* t z) x)))
1.3s	(/ (+ x (- (/ y (- t (/ x z))) (/ x (- (* t z) x)))) (+ x 1.0))
24.0ms	(/ y (- t (/ x z)))
20.0ms	(/ x (- (* t z) x))

series382.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(- (/ y (- t (/ x z))) (/ x (- (* t z) x)))
167.0ms	(/ (+ x (- (/ y (- t (/ x z))) (/ x (- (* t z) x)))) (+ x 1.0))
45.0ms	(/ y (- t (/ x z)))
75.0ms	(/ x (- (* t z) x))

simplify1.6s

Counts

152 → 152

Iterations

Iter	Nodes
done	5001
2	1706
1	545
0	242

prune796.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes274.0ms

Accuracy

0% (0.0b remaining)

Error of 0.3b against oracle of 0.3b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	18
1	18
0	15

end0.0ms

sample1.0s

Algorithm

intervals

Results

772.0ms

8330×

body

valid