Details

sample29.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify25.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	28
3	28
2	24
1	16
0	10

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize33.0ms

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)))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r` `fma-def` `associate-r` `associate-l` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-exp` `prod-diff` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

18.0ms	(* 1.1283791670955126 (exp z))
60.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
20.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
29.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series270.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* 1.1283791670955126 (exp z))
70.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
68.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
113.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify2.2s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
3	3904
2	1135
1	377
0	157

prune482.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize38.0ms

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))))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`times-frac`
17×	`add-exp-log`
15×	`associate-r`
11×	`add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `associate-/r/` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r` `fma-def` `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-+` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 111

Calls

4 calls:

12.0ms	(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))
37.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
20.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
87.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

series365.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))
111.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
92.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
117.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

simplify1.3s

Counts

123 → 123

Iterations

Iter	Nodes
done	5000
2	1502
1	471
0	183

prune589.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize30.0ms

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)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r` `fma-def` `associate-r` `associate-l` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-exp` `prod-diff` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

16.0ms	(* 1.1283791670955126 (exp z))
36.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
18.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
27.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series274.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* 1.1283791670955126 (exp z))
59.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
92.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
104.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify2.2s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
3	3904
2	1135
1	377
0	157

prune446.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize31.0ms

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)))))

rewrite228.0ms

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×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u`
3×	`associate-l`
2×	`cbrt-prod` `sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`
1×	`pow1/3` `pow3` `pow-prod-down` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

11.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
20.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
22.0ms	(* y (cbrt (* (* (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))) (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))) (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))))
173.0ms	(cbrt (* (* (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))) (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))) (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))

series359.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
85.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
100.0ms	(* y (cbrt (* (* (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))) (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))) (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))))
83.0ms	(cbrt (* (* (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))) (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))) (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))

simplify2.4s

Counts

101 → 101

Iterations

Iter	Nodes
done	5004
3	2995
2	1048
1	328
0	142

prune721.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes351.0ms

Accuracy

62.1% (1.1b remaining)

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

bsearch2.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	21
1	21
0	16

end0.0ms

sample938.0ms

Algorithm

intervals

Results

710.0ms

8000×

body

valid