Details

sample53.0ms

Algorithm

intervals

Results

37.0ms

256×

body

valid

simplify13.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	22
2	22
1	15
0	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.8b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`pow1`
4×	`insert-posit16`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

9.0ms	(* 1.1283791670955126 (exp z))
33.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
9.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
15.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series205.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* 1.1283791670955126 (exp z))
40.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
65.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
82.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify2.2s

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
3	3241
2	1049
1	347
0	145

prune457.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))
0.5b	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.2b	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

5.0ms	(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))
18.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
13.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
50.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

series280.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))
74.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
82.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
77.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

simplify2.9s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
3	4928
2	1456
1	438
0	170

prune402.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.8b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`pow1`
4×	`insert-posit16`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

14.0ms	(* 1.1283791670955126 (exp z))
48.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
15.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
23.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series288.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* 1.1283791670955126 (exp z))
60.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
93.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
117.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify2.2s

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
3	3241
2	1049
1	347
0	145

prune362.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.2b	(* y (cbrt (* (* (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))) (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))) (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))))
15.1b	(cbrt (* (* (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))) (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))) (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-div`
16×	`associate-*r/`
12×	`frac-times` `associate-*l/`
8×	`add-sqr-sqrt` `add-log-exp`
6×	`pow1` `*-un-lft-identity` `add-exp-log` `un-div-inv` `add-cube-cbrt`
5×	`add-cbrt-cube`
4×	`associate-r` `insert-posit16`
3×	`associate-l`
2×	`cbrt-prod` `sub-neg` `flip3--` `diff-log` `flip--`
1×	`pow1/3` `pow3` `pow-prod-down` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

20.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
17.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
11.0ms	(* y (cbrt (* (* (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))) (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))) (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))))
134.0ms	(cbrt (* (* (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))) (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))) (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))

series321.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
61.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
120.0ms	(* y (cbrt (* (* (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))) (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))) (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))))
79.0ms	(cbrt (* (* (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))) (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))) (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))

simplify1.6s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
3	2325
2	852
1	302
0	131

prune585.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes294.0ms

Accuracy

62.1% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 2.8b

bsearch2.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	21
1	21
0	16

end0.0ms

sample1.1s

Algorithm

intervals

Results

852.0ms

8000×

body

valid