Details

sample26.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify12.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	22
2	22
1	15
0	10

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize18.0ms

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

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:

13.0ms	(* 1.1283791670955126 (exp z))
41.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
20.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
23.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series261.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* 1.1283791670955126 (exp z))
56.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
77.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
99.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify2.1s

Counts

87 → 87

Iterations

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

prune444.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize29.0ms

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))))

rewrite101.0ms

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:

8.0ms	(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))
29.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
17.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
44.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

series265.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))
60.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
68.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
92.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

simplify2.4s

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

localize26.0ms

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)))

rewrite103.0ms

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:

13.0ms	(* 1.1283791670955126 (exp z))
50.0ms	(+ 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)))

series218.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* 1.1283791670955126 (exp z))
43.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
59.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
98.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify2.0s

Counts

87 → 87

Iterations

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

prune378.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

11.0ms	(- (* (exp z) 1.1283791670955126) (* y x))
12.0ms	(- (* (exp z) 1.1283791670955126) (* y x))
10.0ms	(* y (cbrt (* (/ 1 (- (* (exp z) 1.1283791670955126) (* y x))) (/ (/ 1 (- (* (exp z) 1.1283791670955126) (* y x))) (- (* (exp z) 1.1283791670955126) (* y x))))))
45.0ms	(cbrt (* (/ 1 (- (* (exp z) 1.1283791670955126) (* y x))) (/ (/ 1 (- (* (exp z) 1.1283791670955126) (* y x))) (- (* (exp z) 1.1283791670955126) (* y x)))))

series325.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(- (* (exp z) 1.1283791670955126) (* y x))
63.0ms	(- (* (exp z) 1.1283791670955126) (* y x))
112.0ms	(* y (cbrt (* (/ 1 (- (* (exp z) 1.1283791670955126) (* y x))) (/ (/ 1 (- (* (exp z) 1.1283791670955126) (* y x))) (- (* (exp z) 1.1283791670955126) (* y x))))))
85.0ms	(cbrt (* (/ 1 (- (* (exp z) 1.1283791670955126) (* y x))) (/ (/ 1 (- (* (exp z) 1.1283791670955126) (* y x))) (- (* (exp z) 1.1283791670955126) (* y x)))))

simplify1.6s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
3	2120
2	696
1	277
0	116

prune452.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes305.0ms

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

sample781.0ms

Algorithm

intervals

Results

552.0ms

8000×

body

valid