Details

sample28.0ms

Algorithm

intervals

Results

12.0ms

352×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	1978
7	763
6	513
5	402
4	272
3	166
2	76
1	27
0	9

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.9b

localize22.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (/ x z) (+ z 1.0))
3.4b	(* (/ y z) (/ (/ x z) (+ z 1.0)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

203×	`times-frac`
154×	`*-un-lft-identity`
121×	`add-sqr-sqrt`
100×	`add-cube-cbrt`
58×	`associate-r`
28×	`add-cbrt-cube` `add-exp-log`
27×	`distribute-lft-out`
13×	`associate-l` `associate-/l*`
12×	`cbrt-undiv` `div-exp` `div-inv`
6×	`prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`pow1` `associate-/r*` `associate-/r/`
2×	`flip3-+` `flip-+` `add-log-exp`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `associate-/l/`

Counts

2 → 187

Calls

2 calls:

14.0ms	(/ (/ x z) (+ z 1.0))
58.0ms	(* (/ y z) (/ (/ x z) (+ z 1.0)))

series129.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(/ (/ x z) (+ z 1.0))
59.0ms	(* (/ y z) (/ (/ x z) (+ z 1.0)))

simplify456.0ms

Counts

193 → 193

Iterations

Iter	Nodes
done	5000
1	963
0	299

prune1.0s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (+ z 1.0))
0.8b	(/ (* y (/ x (* z (+ z 1.0)))) z)
4.0b	(* y (/ x (* z (+ z 1.0))))
4.3b	(/ x (* z (+ z 1.0)))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

26.0ms	(* z (+ z 1.0))
45.0ms	(/ (* y (/ x (* z (+ z 1.0)))) z)
55.0ms	(* y (/ x (* z (+ z 1.0))))
17.0ms	(/ x (* z (+ z 1.0)))

series328.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* z (+ z 1.0))
117.0ms	(/ (* y (/ x (* z (+ z 1.0)))) z)
90.0ms	(* y (/ x (* z (+ z 1.0))))
57.0ms	(/ x (* z (+ z 1.0)))

simplify1.6s

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
2	3695
1	548
0	181

prune658.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.8b	(/ (* y (/ x z)) (+ 1.0 z))
0.8b	(/ (/ (* y (/ x z)) (+ 1.0 z)) z)
4.5b	(* y (/ x z))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
44×	`*-un-lft-identity`
37×	`add-sqr-sqrt`
32×	`add-cube-cbrt`
31×	`add-cbrt-cube` `add-exp-log`
13×	`cbrt-undiv` `div-exp` `associate-r`
11×	`associate-/l*`
10×	`associate-/r/`
7×	`associate-/r*` `div-inv`
6×	`prod-exp` `cbrt-unprod` `distribute-lft-out`
5×	`pow1` `flip3-+` `flip-+`
3×	`associate-l` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*r/` `unswap-sqr` `associate-/l/`
1×	`pow-prod-down` `*-commutative`

Counts

3 → 122

Calls

3 calls:

30.0ms	(/ (* y (/ x z)) (+ 1.0 z))
47.0ms	(/ (/ (* y (/ x z)) (+ 1.0 z)) z)
15.0ms	(* y (/ x z))

series242.0ms

Counts

3 → 9

Calls

3 calls:

115.0ms	(/ (* y (/ x z)) (+ 1.0 z))
94.0ms	(/ (/ (* y (/ x z)) (+ 1.0 z)) z)
33.0ms	(* y (/ x z))

simplify1.5s

Counts

131 → 131

Iterations

Iter	Nodes
done	5001
2	3525
1	641
0	225

prune645.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ z 1.0) z)
0.5b	(/ 1 (* (/ z y) (/ (* (+ z 1.0) z) x)))
2.7b	(* (/ z y) (/ (* (+ z 1.0) z) x))
3.8b	(/ (* (+ z 1.0) z) x)

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

105×	`add-exp-log`
61×	`add-cbrt-cube`
44×	`div-exp`
34×	`prod-exp`
26×	`add-sqr-sqrt`
23×	`cbrt-undiv`
21×	`*-un-lft-identity`
19×	`times-frac` `add-cube-cbrt`
18×	`cbrt-unprod`
17×	`associate-l`
11×	`pow1`
10×	`associate-r`
7×	`rec-exp` `1-exp`
6×	`associate-*l/`
4×	`associate-/r` `div-inv` `associate-/l` `add-log-exp`
3×	`pow-prod-down` `associate-/r/` `unswap-sqr`
2×	`frac-times` `clear-num` `frac-2neg` `flip3-+` `associate-r/` `-commutative` `flip-+` `pow-flip` `associate-/l/`
1×	`distribute-lft-out` `inv-pow`

Counts

4 → 141

Calls

4 calls:

16.0ms	(* (+ z 1.0) z)
72.0ms	(/ 1 (* (/ z y) (/ (* (+ z 1.0) z) x)))
42.0ms	(* (/ z y) (/ (* (+ z 1.0) z) x))
15.0ms	(/ (* (+ z 1.0) z) x)

series273.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* (+ z 1.0) z)
65.0ms	(/ 1 (* (/ z y) (/ (* (+ z 1.0) z) x)))
70.0ms	(* (/ z y) (/ (* (+ z 1.0) z) x))
53.0ms	(/ (* (+ z 1.0) z) x)

simplify2.1s

Counts

153 → 153

Iterations

Iter	Nodes
done	5000
2	4252
1	712
0	231

prune653.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes427.0ms

Accuracy

89.3% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 3.1b

bsearch2.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	48
2	48
1	43
0	35

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.1s

10881×

body

valid