Details

sample30.0ms

Algorithm

intervals

Results

15.0ms

261×

body

valid

simplify2.5s

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.4b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* y z) x)
0.7b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.5b	(/ (- (* y z) x) (- (* t z) x))

rewrite172.0ms

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` `flip--`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv`
1×	`associate-+r-` `sub-neg` `diff-log`

Counts

3 → 85

Calls

3 calls:

6.0ms	(- (* y z) x)
142.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
22.0ms	(/ (- (* y z) x) (- (* t z) x))

series260.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(- (* y z) x)
145.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
74.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify2.7s

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
3	4968
2	1287
1	396
0	152

prune512.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.7b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))
0.7b	(/ (+ x (- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))) (+ x 1.0))
1.1b	(/ x (- (* t z) x))
9.7b	(/ (* y z) (- (* t z) x))

rewrite941.0ms

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`
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 → 118

Calls

4 calls:

81.0ms	(- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))
814.0ms	(/ (+ x (- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))) (+ x 1.0))
20.0ms	(/ x (- (* t z) x))
20.0ms	(/ (* y z) (- (* t z) x))

series354.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))
135.0ms	(/ (+ x (- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))) (+ x 1.0))
80.0ms	(/ x (- (* t z) x))
57.0ms	(/ (* y z) (- (* t z) x))

simplify1.3s

Counts

130 → 130

Iterations

Iter	Nodes
done	5007
2	1777
1	504
0	197

prune806.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.7b

localize24.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ (+ x (- (/ y (/ (- (* t z) x) z)) (/ x (- (* t z) x)))) (+ x 1.0))
1.1b	(/ x (- (* t z) x))
3.3b	(/ y (/ (- (* t z) x) z))
5.2b	(/ (- (* t z) x) z)

rewrite976.0ms

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-+r-`

Counts

4 → 175

Calls

4 calls:

917.0ms	(/ (+ x (- (/ y (/ (- (* t z) x) z)) (/ x (- (* t z) x)))) (+ x 1.0))
17.0ms	(/ x (- (* t z) x))
22.0ms	(/ y (/ (- (* t z) x) z))
15.0ms	(/ (- (* t z) x) z)

series323.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(/ (+ x (- (/ y (/ (- (* t z) x) z)) (/ x (- (* t z) x)))) (+ x 1.0))
66.0ms	(/ x (- (* t z) x))
44.0ms	(/ y (/ (- (* t z) x) z))
41.0ms	(/ (- (* t z) x) z)

simplify1.6s

Counts

187 → 187

Iterations

Iter	Nodes
done	5004
2	2478
1	728
0	284

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.7b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(- t (/ x z))
0.7b	(/ (- (+ x (/ y (- t (/ x z)))) (/ x (- (* t z) x))) (+ x 1.0))
1.1b	(/ x (- (* t z) x))
3.3b	(/ y (- t (/ x z)))

rewrite900.0ms

Algorithm

rewrite-expression-head

Rules

87×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
65×	`times-frac`
36×	`add-cube-cbrt`
20×	`difference-of-squares`
15×	`distribute-lft-out--`
13×	`associate-/r` `distribute-lft-out` `associate-/l`
10×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r/` `add-log-exp`
4×	`pow1` `flip3--` `flip--` `associate-/l/`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`
2×	`flip3-+` `frac-sub` `flip-+`
1×	`sub-neg` `diff-log` `div-sub`

Counts

4 → 143

Calls

4 calls:

14.0ms	(- t (/ x z))
825.0ms	(/ (- (+ x (/ y (- t (/ x z)))) (/ x (- (* t z) x))) (+ x 1.0))
21.0ms	(/ x (- (* t z) x))
32.0ms	(/ y (- t (/ x z)))

series368.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- t (/ x z))
191.0ms	(/ (- (+ x (/ y (- t (/ x z)))) (/ x (- (* t z) x))) (+ x 1.0))
92.0ms	(/ x (- (* t z) x))
50.0ms	(/ y (- t (/ x z)))

simplify1.7s

Counts

155 → 155

Iterations

Iter	Nodes
done	5000
2	1855
1	574
0	244

prune943.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.7b

regimes416.0ms

Accuracy

0% (0.1b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	23
1	23
0	17

end0.0ms

sample914.0ms

Algorithm

intervals

Results

642.0ms

8317×

body

valid