Details

sample52.0ms

Algorithm

intervals

Results

24.0ms

263×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

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

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.6b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* y z) x)
0.3b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.7b	(/ (- (* y z) x) (- (* t z) x))

rewrite184.0ms

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:

12.0ms	(- (* y z) x)
138.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
30.0ms	(/ (- (* y z) x) (- (* t z) x))

series304.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(- (* y z) x)
189.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
88.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify851.0ms

Counts

94 → 94

Iterations

Iter	Nodes
done	5001
2	1772
1	396
0	152

prune584.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize46.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (+ x (- (* (/ y (- (* t z) x)) z) (/ x (- (* t z) x)))) (+ x 1.0))
0.8b	(/ x (- (* t z) x))
2.2b	(/ y (- (* t z) x))
7.5b	(* (/ y (- (* t z) x)) z)

rewrite350.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
44×	`times-frac`
43×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
15×	`add-cbrt-cube` `associate-l` `add-exp-log`
10×	`associate-/r` `distribute-lft-out` `associate-/l`
8×	`associate-/r/`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `div-inv` `add-log-exp`
3×	`clear-num` `frac-2neg` `flip3--` `associate-r` `flip--`
2×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `unswap-sqr` `associate-/l/`
1×	`associate-+r-` `div-sub` `pow-prod-down` `associate-l/` `-commutative`

Counts

4 → 133

Calls

4 calls:

275.0ms	(/ (+ x (- (* (/ y (- (* t z) x)) z) (/ x (- (* t z) x)))) (+ x 1.0))
19.0ms	(/ x (- (* t z) x))
11.0ms	(/ y (- (* t z) x))
41.0ms	(* (/ y (- (* t z) x)) z)

series440.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(/ (+ x (- (* (/ y (- (* t z) x)) z) (/ x (- (* t z) x)))) (+ x 1.0))
109.0ms	(/ x (- (* t z) x))
61.0ms	(/ y (- (* t z) x))
55.0ms	(* (/ y (- (* t z) x)) z)

simplify1.2s

Counts

145 → 145

Iterations

Iter	Nodes
done	5002
2	2388
1	522
0	210

prune986.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize46.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (+ x (- (* y (/ z (- (* z t) x))) (/ x (- (* t z) x)))) (+ x 1.0))
0.8b	(/ x (- (* t z) x))
3.3b	(* y (/ z (- (* z t) x)))
5.7b	(/ z (- (* z t) x))

rewrite374.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
44×	`times-frac`
43×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
15×	`add-cbrt-cube` `associate-r` `add-exp-log`
10×	`associate-/r` `distribute-lft-out` `associate-/l`
8×	`associate-/r/`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `div-inv` `add-log-exp`
3×	`clear-num` `frac-2neg` `flip3--` `associate-l` `flip--`
2×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `unswap-sqr` `associate-/l/`
1×	`associate-+r-` `div-sub` `pow-prod-down` `associate-r/` `-commutative`

Counts

4 → 133

Calls

4 calls:

310.0ms	(/ (+ x (- (* y (/ z (- (* z t) x))) (/ x (- (* t z) x)))) (+ x 1.0))
11.0ms	(/ x (- (* t z) x))
34.0ms	(* y (/ z (- (* z t) x)))
11.0ms	(/ z (- (* z t) x))

series454.0ms

Counts

4 → 12

Calls

4 calls:

243.0ms	(/ (+ x (- (* y (/ z (- (* z t) x))) (/ x (- (* t z) x)))) (+ x 1.0))
94.0ms	(/ x (- (* t z) x))
52.0ms	(* y (/ z (- (* z t) x)))
64.0ms	(/ z (- (* z t) x))

simplify1.5s

Counts

145 → 145

Iterations

Iter	Nodes
done	5001
2	2344
1	553
0	221

prune864.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize48.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 1 (- (/ t (/ x z)) 1))
3.3b	(* y (/ z (- (* z t) x)))
5.3b	(/ t (/ x z))
5.7b	(/ z (- (* z t) x))

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

169×	`add-sqr-sqrt` `times-frac`
100×	`*-un-lft-identity`
80×	`add-cube-cbrt`
29×	`associate-/r*`
24×	`difference-of-squares`
20×	`add-exp-log`
18×	`add-cbrt-cube`
15×	`associate-r`
12×	`difference-of-sqr-1`
9×	`associate-/l*`
8×	`div-inv`
7×	`pow1` `div-exp` `associate-/r/`
6×	`cbrt-undiv`
4×	`distribute-lft-out--` `add-log-exp`
3×	`clear-num` `frac-2neg` `flip3--` `associate-l` `flip--`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`rec-exp` `1-exp` `pow-prod-down` `associate-r/` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 206

Calls

4 calls:

96.0ms	(/ 1 (- (/ t (/ x z)) 1))
64.0ms	(* y (/ z (- (* z t) x)))
14.0ms	(/ t (/ x z))
21.0ms	(/ z (- (* z t) x))

series228.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(/ 1 (- (/ t (/ x z)) 1))
66.0ms	(* y (/ z (- (* z t) x)))
27.0ms	(/ t (/ x z))
50.0ms	(/ z (- (* z t) x))

simplify1.6s

Counts

218 → 218

Iterations

Iter	Nodes
done	5001
2	3552
1	805
0	335

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

regimes357.0ms

Accuracy

0% (2.2b remaining)

Error of 2.5b against oracle of 0.3b and baseline of 2.5b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	24
1	24
0	18

end0.0ms

sample1.3s

Algorithm

intervals

Results

835.0ms

8339×

body

valid