Details

sample32.0ms

Algorithm

intervals

Results

21.0ms

256×

body

valid

simplify12.0ms

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize46.0ms

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)))

rewrite133.0ms

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))
61.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
24.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
29.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series339.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* 1.1283791670955126 (exp z))
71.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
103.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
135.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify2.5s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
3	4108
2	1121
1	377
0	157

prune666.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize40.0ms

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))))

rewrite144.0ms

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:

9.0ms	(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))
27.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
20.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
86.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

series353.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))
107.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
83.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
97.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

simplify1.8s

Counts

123 → 123

Iterations

Iter	Nodes
done	5001
2	1649
1	471
0	183

prune553.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize21.0ms

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)))

rewrite133.0ms

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:

17.0ms	(* 1.1283791670955126 (exp z))
57.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
26.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
31.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series277.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* 1.1283791670955126 (exp z))
63.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
67.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
118.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify2.6s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
3	4108
2	1121
1	377
0	157

prune551.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize43.0ms

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)))))

rewrite201.0ms

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:

18.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
17.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
19.0ms	(* y (cbrt (* (* (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))) (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))) (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))))
145.0ms	(cbrt (* (* (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))) (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))) (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))

series418.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
95.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
118.0ms	(* y (cbrt (* (* (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))) (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))) (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))))
101.0ms	(cbrt (* (* (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))) (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))) (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))

simplify2.3s

Counts

101 → 101

Iterations

Iter	Nodes
done	5011
3	3775
2	1125
1	328
0	142

prune683.0ms

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

sample1.2s

Algorithm

intervals

Results

986.0ms

8000×

body

valid