Details

sample40.0ms

Algorithm

intervals

Results

23.0ms

262×

body

valid

simplify1.9s

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: 7.6b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.0b	(- (* t z) x)
0.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
10.4b	(/ (- (* y z) x) (- (* t z) x))

rewrite291.0ms

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:

8.0ms	(- (* y z) x)
8.0ms	(- (* t z) x)
217.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
55.0ms	(/ (- (* y z) x) (- (* t z) x))

series270.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (* y z) x)
28.0ms	(- (* t z) x)
152.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
65.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify2.6s

Counts

113 → 113

Iterations

Iter	Nodes
done	5005
3	4848
2	1296
1	416
0	163

prune594.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* z y) x)
0.0b	(- (* t z) x)
0.0b	(/ (+ x (/ (- (* z y) x) (- (* t z) x))) (+ x 1.0))
10.4b	(/ (- (* z y) x) (- (* t z) x))

rewrite254.0ms

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:

8.0ms	(- (* z y) x)
8.0ms	(- (* t z) x)
172.0ms	(/ (+ x (/ (- (* z y) x) (- (* t z) x))) (+ x 1.0))
64.0ms	(/ (- (* z y) x) (- (* t z) x))

series331.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- (* z y) x)
44.0ms	(- (* t z) x)
182.0ms	(/ (+ x (/ (- (* z y) x) (- (* t z) x))) (+ x 1.0))
78.0ms	(/ (- (* z y) x) (- (* t z) x))

simplify2.5s

Counts

113 → 113

Iterations

Iter	Nodes
done	5003
3	4633
2	1219
1	414
0	161

prune536.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.5b

localize48.0ms

Local error

Found 4 expressions with local error:

6.7b	(cbrt (- (* t z) x))
6.7b	(cbrt (- (* t z) x))
6.7b	(cbrt (- (* t z) x))
10.4b	(/ (- (* z y) x) (* (* (cbrt (- (* t z) x)) (cbrt (- (* t z) x))) (cbrt (- (* t z) x))))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
31×	`flip3--` `flip--`
28×	`frac-times`
26×	`associate-/r/`
14×	`associate-*l/`
13×	`add-exp-log`
9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
8×	`associate-*r/`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `pow1/3` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`associate-/l/`
1×	`clear-num` `associate-/r*` `frac-2neg` `div-sub` `div-inv`

Counts

4 → 95

Calls

4 calls:

6.0ms	(cbrt (- (* t z) x))
6.0ms	(cbrt (- (* t z) x))
6.0ms	(cbrt (- (* t z) x))
106.0ms	(/ (- (* z y) x) (* (* (cbrt (- (* t z) x)) (cbrt (- (* t z) x))) (cbrt (- (* t z) x))))

series542.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt (- (* t z) x))
156.0ms	(cbrt (- (* t z) x))
156.0ms	(cbrt (- (* t z) x))
60.0ms	(/ (- (* z y) x) (* (* (cbrt (- (* t z) x)) (cbrt (- (* t z) x))) (cbrt (- (* t z) x))))

simplify2.3s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
3	4289
2	1431
1	531
0	184

prune711.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.5b

localize54.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ (- (* z y) x) (- (* t z) x)))) (cbrt (+ x (/ (- (* z y) x) (- (* t z) x)))))
10.4b	(/ (- (* z y) x) (- (* t z) x))
10.4b	(/ (- (* z y) x) (- (* t z) x))
10.4b	(/ (- (* z y) x) (- (* t z) x))

rewrite487.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
44×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
27×	`times-frac`
24×	`cbrt-prod`
12×	`cbrt-div` `add-exp-log`
11×	`pow1`
10×	`add-cbrt-cube`
9×	`associate-/r` `swap-sqr` `associate-/l`
7×	`associate-r` `associate-l`
6×	`flip3-+` `flip3--` `pow1/3` `associate-/r/` `flip-+` `flip--` `distribute-lft-out` `associate-/l/`
4×	`frac-times` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `div-inv`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 153

Calls

4 calls:

368.0ms	(* (cbrt (+ x (/ (- (* z y) x) (- (* t z) x)))) (cbrt (+ x (/ (- (* z y) x) (- (* t z) x)))))
45.0ms	(/ (- (* z y) x) (- (* t z) x))
38.0ms	(/ (- (* z y) x) (- (* t z) x))
31.0ms	(/ (- (* z y) x) (- (* t z) x))

series439.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(* (cbrt (+ x (/ (- (* z y) x) (- (* t z) x)))) (cbrt (+ x (/ (- (* z y) x) (- (* t z) x)))))
62.0ms	(/ (- (* z y) x) (- (* t z) x))
68.0ms	(/ (- (* z y) x) (- (* t z) x))
77.0ms	(/ (- (* z y) x) (- (* t z) x))

simplify2.3s

Counts

165 → 165

Iterations

Iter	Nodes
done	5003
3	3934
2	1239
1	441
0	181

prune1.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.5b

regimes314.0ms

Accuracy

58.3% (2.5b remaining)

Error of 3.4b against oracle of 0.9b and baseline of 6.8b

bsearch104.0ms

Steps

Iters	Range		Point
8	7.127926419879239e+106	4.046829271144574e+111	2.2939420975234537e+108
7	-1.7986711450963914e+79	-4.346986454969115e+77	-1.705982485713477e+79

simplify7.0ms

Iterations

Iter	Nodes
done	30
1	30
0	22

end0.0ms

sample1.1s

Algorithm

intervals

Results

817.0ms

8319×

body

valid