Details

sample65.0ms

Algorithm

intervals

Results

25.0ms

353×

body

valid

simplify172.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	67
5	67
4	63
3	45
2	33
1	16
0	9

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.1b

localize62.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x y) (* z t))
9.5b	(/ (- (* x y) (* z t)) a)

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

36.0ms	(- (* x y) (* z t))
51.0ms	(/ (- (* x y) (* z t)) a)

series190.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(- (* x y) (* z t))
110.0ms	(/ (- (* x y) (* z t)) a)

simplify4.0s

Counts

50 → 50

Iterations

Iter	Nodes
done	5004
3	2431
2	655
1	212
0	82

prune888.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 9.7b

localize60.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x y) (* z t))
9.6b	(* (- (* x y) (* z t)) (/ 1 a))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
11×	`*-un-lft-identity` `times-frac` `add-exp-log`
10×	`add-cube-cbrt`
7×	`add-cbrt-cube`
4×	`pow1` `prod-exp` `add-log-exp`
3×	`flip3--` `associate-l` `flip--` `unswap-sqr`
2×	`frac-times` `div-exp` `associate-*l/` `cbrt-unprod` `insert-posit16`
1×	`cbrt-undiv` `rec-exp` `sub-neg` `diff-log` `1-exp` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `div-inv`

Counts

2 → 54

Calls

2 calls:

27.0ms	(- (* x y) (* z t))
108.0ms	(* (- (* x y) (* z t)) (/ 1 a))

series193.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(- (* x y) (* z t))
105.0ms	(* (- (* x y) (* z t)) (/ 1 a))

simplify5.3s

Counts

60 → 60

Iterations

Iter	Nodes
done	5008
3	2880
2	990
1	291
0	108

prune861.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 9.7b

localize93.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* z t))
0.7b	(/ 1 (/ a (- (* x y) (* z t))))
9.5b	(/ a (- (* x y) (* z t)))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
55×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`flip3--` `div-inv` `flip--` `associate-/l*`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
3×	`insert-posit16`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`sub-neg` `diff-log` `pow-flip` `inv-pow`

Counts

3 → 128

Calls

3 calls:

27.0ms	(- (* x y) (* z t))
48.0ms	(/ 1 (/ a (- (* x y) (* z t))))
42.0ms	(/ a (- (* x y) (* z t)))

series402.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(- (* x y) (* z t))
216.0ms	(/ 1 (/ a (- (* x y) (* z t))))
91.0ms	(/ a (- (* x y) (* z t)))

simplify9.5s

Counts

137 → 137

Iterations

Iter	Nodes
done	5000
3	4968
2	1424
1	479
0	190

prune2.2s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 9.7b

localize116.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt a)
0.5b	(* (cbrt a) (cbrt a))
1.5b	(/ (/ (- (* x y) (* z t)) (* (cbrt a) (cbrt a))) (cbrt a))
8.2b	(/ (- (* x y) (* z t)) (* (cbrt a) (cbrt a)))

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

66×	`times-frac`
53×	`add-sqr-sqrt`
45×	`*-un-lft-identity` `add-cube-cbrt`
43×	`cbrt-prod`
20×	`add-exp-log`
11×	`pow1` `add-cbrt-cube`
10×	`associate-/l*`
9×	`div-inv`
7×	`cbrt-undiv` `associate-/r*` `pow1/3` `div-exp`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`insert-posit16` `add-log-exp` `unswap-sqr`
3×	`div-sub` `prod-exp` `cbrt-unprod` `associate-/l/`
2×	`clear-num` `frac-2neg` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `flip3--` `*-commutative` `flip--`

Counts

4 → 152

Calls

4 calls:

3.0ms	(cbrt a)
38.0ms	(* (cbrt a) (cbrt a))
75.0ms	(/ (/ (- (* x y) (* z t)) (* (cbrt a) (cbrt a))) (cbrt a))
76.0ms	(/ (- (* x y) (* z t)) (* (cbrt a) (cbrt a)))

series1.4s

Counts

4 → 12

Calls

4 calls:

277.0ms	(cbrt a)
356.0ms	(* (cbrt a) (cbrt a))
170.0ms	(/ (/ (- (* x y) (* z t)) (* (cbrt a) (cbrt a))) (cbrt a))
607.0ms	(/ (- (* x y) (* z t)) (* (cbrt a) (cbrt a)))

simplify4.5s

Counts

164 → 164

Iterations

Iter	Nodes
done	5004
2	2073
1	597
0	221

prune2.2s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.1b

regimes4.1s

Accuracy

87.3% (1.0b remaining)

Error of 1.0b against oracle of 0.1b and baseline of 7.8b

bsearch3.0ms

simplify19.0ms

Iterations

Iter	Nodes
done	25
1	25
0	20

end0.0ms

sample1.8s

Algorithm

intervals

Results

943.0ms

11189×

body

valid