Details

sample31.0ms

Algorithm

intervals

Results

18.0ms

256×

body

valid

simplify6.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
12	4530
11	2981
10	1941
9	1327
8	935
7	744
6	622
5	489
4	295
3	139
2	62
1	35
0	18

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.3b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z 0.0692910599291889) 0.4917317610505968)
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
4.1b	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
22.4b	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

8.0ms	(+ (* z 0.0692910599291889) 0.4917317610505968)
51.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
64.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
62.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series381.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ (* z 0.0692910599291889) 0.4917317610505968)
108.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
72.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
156.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify1.7s

Counts

94 → 94

Iterations

Iter	Nodes
done	5010
2	1917
1	510
0	179

prune594.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z 0.0692910599291889) 0.4917317610505968)
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
0.1b	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
18.0b	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite251.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `add-cube-cbrt`
19×	`times-frac`
18×	`associate-r`
13×	`add-cbrt-cube` `add-exp-log`
8×	`pow1`
6×	`associate-l` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-/r/` `insert-posit16`
3×	`associate-/r` `prod-exp` `cbrt-unprod` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `associate-*r/`

Counts

4 → 100

Calls

4 calls:

15.0ms	(+ (* z 0.0692910599291889) 0.4917317610505968)
51.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
91.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
88.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series463.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ (* z 0.0692910599291889) 0.4917317610505968)
95.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
202.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
115.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify1.6s

Counts

112 → 112

Iterations

Iter	Nodes
done	5003
2	1876
1	521
0	196

prune680.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (sqrt (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
0.3b	(* (* y (sqrt (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))) (sqrt (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
18.0b	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
18.0b	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite464.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
37×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
36×	`associate-r`
32×	`sqrt-prod`
15×	`add-cbrt-cube` `add-exp-log`
11×	`pow1`
8×	`associate-/r/`
6×	`associate-/r` `flip3-+` `flip-+` `associate-/l`
5×	`sqrt-div`
4×	`associate-l` `pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16` `div-inv` `add-log-exp` `associate-/l/`
3×	`unswap-sqr`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `*-commutative`
1×	`frac-times` `associate-*l/`

Counts

4 → 138

Calls

4 calls:

106.0ms	(* y (sqrt (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
211.0ms	(* (* y (sqrt (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))) (sqrt (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
71.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
67.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series646.0ms

Counts

4 → 12

Calls

4 calls:

292.0ms	(* y (sqrt (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
176.0ms	(* (* y (sqrt (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))) (sqrt (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
100.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
78.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify2.1s

Counts

150 → 150

Iterations

Iter	Nodes
done	5000
2	2175
1	602
0	232

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y (+ (+ (* z (* z 0.0692910599291889)) (* z 0.4917317610505968)) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
0.1b	(* z (* z 0.0692910599291889))
4.1b	(* y (+ (+ (* z (* z 0.0692910599291889)) (* z 0.4917317610505968)) 0.279195317918525))
22.4b	(/ (* y (+ (+ (* z (* z 0.0692910599291889)) (* z 0.4917317610505968)) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite544.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

91.0ms	(+ x (/ (* y (+ (+ (* z (* z 0.0692910599291889)) (* z 0.4917317610505968)) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
33.0ms	(* z (* z 0.0692910599291889))
289.0ms	(* y (+ (+ (* z (* z 0.0692910599291889)) (* z 0.4917317610505968)) 0.279195317918525))
129.0ms	(/ (* y (+ (+ (* z (* z 0.0692910599291889)) (* z 0.4917317610505968)) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series596.0ms

Counts

4 → 12

Calls

4 calls:

283.0ms	(+ x (/ (* y (+ (+ (* z (* z 0.0692910599291889)) (* z 0.4917317610505968)) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
31.0ms	(* z (* z 0.0692910599291889))
94.0ms	(* y (+ (+ (* z (* z 0.0692910599291889)) (* z 0.4917317610505968)) 0.279195317918525))
188.0ms	(/ (* y (+ (+ (* z (* z 0.0692910599291889)) (* z 0.4917317610505968)) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify2.0s

Counts

94 → 94

Iterations

Iter	Nodes
done	5006
2	2153
1	548
0	188

prune488.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes170.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 15.9b

bsearch243.0ms

Steps

Iters	Range		Point
10	73049.03827748532	1894903939847283.5	732680732.9997194
9	-3.442452386677413e+19	-4607476146472.435	-249743896261902.22

simplify8.0ms

Iterations

Iter	Nodes
done	48
1	48
0	31

end0.0ms

sample1.1s

Algorithm

intervals

Results

866.0ms

8000×

body

valid