Details

sample55.0ms

Algorithm

intervals

Results

37.0ms

268×

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.0b	(- (* y z) x)
0.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
11.5b	(/ (- (* y z) x) (- (* t z) x))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

7.0ms	(- (* t z) x)
7.0ms	(- (* y z) x)
114.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
23.0ms	(/ (- (* y z) x) (- (* t z) x))

series266.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (* t z) x)
24.0ms	(- (* y z) x)
135.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
81.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify1.2s

Counts

113 → 113

Iterations

Iter	Nodes
done	5001
2	1825
1	416
0	163

prune531.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.3b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.0b	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
0.4b	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
11.4b	(/ (- (* t z) x) (- (* y z) x))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
94×	`*-un-lft-identity`
67×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
19×	`add-exp-log`
16×	`distribute-lft-out`
13×	`add-cbrt-cube` `associate-/r/`
12×	`div-inv`
11×	`associate-/l*`
9×	`div-exp`
7×	`flip3--` `flip--`
6×	`add-log-exp`
5×	`pow1` `cbrt-undiv`
4×	`insert-posit16` `associate-/l/`
3×	`clear-num` `frac-2neg`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+`
1×	`sub-neg` `diff-log` `div-sub` `pow-flip` `inv-pow`

Counts

4 → 177

Calls

4 calls:

10.0ms	(- (* y z) x)
136.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
32.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
33.0ms	(/ (- (* t z) x) (- (* y z) x))

series415.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- (* y z) x)
211.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
90.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
82.0ms	(/ (- (* t z) x) (- (* y z) x))

simplify1.5s

Counts

189 → 189

Iterations

Iter	Nodes
done	5002
2	3608
1	687
0	264

prune802.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

localize34.0ms

Local error

Found 4 expressions with local error:

5.6b	(* (/ 1 (* (cbrt (- (* t z) x)) (cbrt (- (* t z) x)))) (/ (- (* y z) x) (cbrt (- (* t z) x))))
9.3b	(cbrt (- (* t z) x))
9.3b	(cbrt (- (* t z) x))
9.3b	(cbrt (- (* t z) x))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
43×	`add-sqr-sqrt`
33×	`times-frac`
25×	`*-un-lft-identity`
24×	`associate-r`
22×	`add-cube-cbrt`
21×	`cbrt-prod`
20×	`cbrt-div` `prod-exp`
18×	`add-cbrt-cube`
15×	`div-exp` `associate-l`
10×	`flip3--` `associate-/r/` `flip--`
9×	`unswap-sqr`
8×	`cbrt-unprod`
7×	`cbrt-undiv`
6×	`pow1`
5×	`frac-times`
4×	`rec-exp` `1-exp` `insert-posit16` `add-log-exp`
3×	`pow1/3` `associate-l/` `associate-r/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 123

Calls

4 calls:

167.0ms	(* (/ 1 (* (cbrt (- (* t z) x)) (cbrt (- (* t z) x)))) (/ (- (* y z) x) (cbrt (- (* t z) x))))
6.0ms	(cbrt (- (* t z) x))
9.0ms	(cbrt (- (* t z) x))
5.0ms	(cbrt (- (* t z) x))

series578.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* (/ 1 (* (cbrt (- (* t z) x)) (cbrt (- (* t z) x)))) (/ (- (* y z) x) (cbrt (- (* t z) x))))
151.0ms	(cbrt (- (* t z) x))
149.0ms	(cbrt (- (* t z) x))
159.0ms	(cbrt (- (* t z) x))

simplify2.4s

Counts

135 → 135

Iterations

Iter	Nodes
done	5000
2	3439
1	661
0	210

prune785.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.3b

localize65.0ms

Local error

Found 4 expressions with local error:

7.2b	(cbrt (- (* y z) x))
9.3b	(cbrt (- (* t z) x))
9.3b	(cbrt (- (* t z) x))
9.3b	(cbrt (- (* t z) x))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `cbrt-div` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `flip--` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

9.0ms	(cbrt (- (* y z) x))
10.0ms	(cbrt (- (* t z) x))
8.0ms	(cbrt (- (* t z) x))
8.0ms	(cbrt (- (* t z) x))

series583.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(cbrt (- (* y z) x))
149.0ms	(cbrt (- (* t z) x))
144.0ms	(cbrt (- (* t z) x))
149.0ms	(cbrt (- (* t z) x))

simplify925.0ms

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
3	1682
2	602
1	249
0	106

prune557.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.3b

regimes525.0ms

Accuracy

76% (1.5b remaining)

Error of 2.4b against oracle of 0.9b and baseline of 7.2b

bsearch3.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	30
1	30
0	22

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s

8334×

body

valid