Details

sample30.0ms

Algorithm

intervals

Results

20.0ms

256×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	22
2	22
1	15
0	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize17.0ms

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)))

rewrite81.0ms

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:

8.0ms	(* 1.1283791670955126 (exp z))
44.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
14.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
14.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series272.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* 1.1283791670955126 (exp z))
62.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
92.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
89.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify2.3s

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
3	3520
2	1045
1	347
0	145

prune380.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize33.0ms

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))))

rewrite109.0ms

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:

6.0ms	(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))
33.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
11.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
57.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

series315.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))
75.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
85.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
99.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

simplify1.5s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	1601
1	438
0	170

prune518.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize32.0ms

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)))

rewrite99.0ms

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))
41.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
10.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
33.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series219.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* 1.1283791670955126 (exp z))
51.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
62.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
81.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify1.8s

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
3	3520
2	1045
1	347
0	145

prune460.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize36.0ms

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)))))

rewrite124.0ms

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:

10.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
9.0ms	(- (* 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))))))
94.0ms	(cbrt (* (* (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))) (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))) (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))

series366.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
78.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
108.0ms	(* y (cbrt (* (* (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))) (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))) (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))))
105.0ms	(cbrt (* (* (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))) (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))) (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))

simplify1.7s

Counts

89 → 89

Iterations

Iter	Nodes
done	5002
3	2696
2	926
1	302
0	131

prune449.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes266.0ms

Accuracy

62.1% (1.1b remaining)

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

bsearch2.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	21
1	21
0	16

end0.0ms

sample1.0s

Algorithm

intervals

Results

801.0ms

8000×

body

valid