Details

sample37.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify5.7s

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: 18.3b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ z 6.012459259764103) z)
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
4.1b	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
18.2b	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

28.0ms	(* (+ z 6.012459259764103) z)
23.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
66.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
48.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series383.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (+ z 6.012459259764103) z)
85.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
59.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
180.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify2.1s

Counts

104 → 104

Iterations

Iter	Nodes
done	5001
2	2021
1	560
0	196

prune618.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ z 6.012459259764103) z)
0.1b	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
14.6b	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt`
21×	`associate-r`
19×	`times-frac`
15×	`add-cbrt-cube` `add-exp-log`
10×	`pow1` `associate-l`
5×	`flip3-+` `flip-+`
4×	`associate-*l/` `prod-exp` `associate-/r/` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`associate-/r` `pow-prod-down` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `div-inv` `associate-/l/`
1×	`clear-num` `frac-2neg` `associate-*r/` `distribute-lft-out`

Counts

4 → 110

Calls

4 calls:

15.0ms	(* (+ z 6.012459259764103) z)
93.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
22.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
57.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series373.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (+ z 6.012459259764103) z)
145.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
84.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
81.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify1.9s

Counts

122 → 122

Iterations

Iter	Nodes
done	5023
2	2031
1	574
0	213

prune686.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

6.7b	(* (/ y (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))) (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
14.1b	(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
14.1b	(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
14.2b	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

79×	`add-sqr-sqrt`
66×	`times-frac`
47×	`*-un-lft-identity` `add-cube-cbrt`
42×	`sqrt-prod`
24×	`associate-r` `associate-l`
18×	`add-cbrt-cube` `add-exp-log`
10×	`sqrt-div`
9×	`unswap-sqr`
8×	`pow1`
6×	`associate-/r*` `flip3-+` `associate-/r/` `flip-+`
5×	`cbrt-undiv` `div-exp`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`div-inv` `associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/l/`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 154

Calls

4 calls:

108.0ms	(* (/ y (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))) (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
16.0ms	(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
21.0ms	(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
73.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))

series515.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(* (/ y (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))) (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
70.0ms	(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
78.0ms	(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
187.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))

simplify2.4s

Counts

166 → 166

Iterations

Iter	Nodes
done	5001
2	2599
1	748
0	261

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize78.0ms

Local error

Found 4 expressions with local error:

14.1b	(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
14.1b	(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
14.2b	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
14.2b	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
36×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
30×	`sqrt-prod`
12×	`associate-/r*`
8×	`add-cbrt-cube` `sqrt-div` `add-exp-log`
6×	`pow1` `flip3-+` `flip-+` `associate-/l*`
4×	`associate-/r/` `insert-posit16` `add-log-exp` `associate-/l/`
2×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `div-inv`

Counts

4 → 120

Calls

4 calls:

11.0ms	(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
14.0ms	(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
81.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
69.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))

series485.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
83.0ms	(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
160.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
157.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))

simplify2.4s

Counts

132 → 132

Iterations

Iter	Nodes
done	5002
3	3856
2	1072
1	367
0	157

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes184.0ms

Accuracy

99.7% (0.1b remaining)

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

bsearch245.0ms

Steps

Iters	Range		Point
8	792.2934317312261	45027090.2690009	566049.5164958073
7	-8.033323829219503e+45	-2.1734442378507523e+44	-6.066154477353578e+45

simplify8.0ms

Iterations

Iter	Nodes
done	52
1	52
0	35

end0.0ms

sample1.1s

Algorithm

intervals

Results

876.0ms

8000×

body

valid