Details

sample46.0ms

Algorithm

intervals

Results

30.0ms

256×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	2003
10	1941
9	1327
8	935
7	744
6	622
5	489
4	295
3	139
2	62
1	35
0	18

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.4b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ z 6.012459259764103) z)
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
4.2b	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
18.3b	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite133.0ms

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:

21.0ms	(* (+ z 6.012459259764103) z)
34.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
38.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
39.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series435.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* (+ z 6.012459259764103) z)
123.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
58.0ms	(* 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))

simplify570.0ms

Counts

104 → 104

Iterations

Iter	Nodes
done	2000
1	560
0	196

prune649.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ z 6.012459259764103) z)
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
0.2b	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
16.1b	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite237.0ms

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:

27.0ms	(* (+ z 6.012459259764103) z)
38.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
82.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
87.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series447.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (+ z 6.012459259764103) z)
107.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
165.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
116.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify630.0ms

Counts

122 → 122

Iterations

Iter	Nodes
done	2000
1	571
0	213

prune625.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ z 6.012459259764103) z)
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
0.3b	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
16.2b	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
64×	`add-sqr-sqrt`
62×	`*-un-lft-identity`
60×	`add-cube-cbrt`
18×	`associate-/r*`
15×	`add-cbrt-cube` `add-exp-log`
11×	`associate-/r/`
8×	`pow1` `flip3-+` `flip-+`
7×	`associate-l`
6×	`associate-r` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp` `associate-*l/` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `associate-/l/`
1×	`distribute-lft-out`

Counts

4 → 154

Calls

4 calls:

15.0ms	(* (+ z 6.012459259764103) z)
20.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
63.0ms	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
87.0ms	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

series435.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (+ z 6.012459259764103) z)
98.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
171.0ms	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
105.0ms	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

simplify800.0ms

Counts

166 → 166

Iterations

Iter	Nodes
done	2000
1	805
0	307

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 0.07512208616047561 z) 0.0692910599291889)
0.0b	(+ x (* y (- (+ (/ 0.07512208616047561 z) 0.0692910599291889) (/ 0.40462203869992125 (* z z)))))
0.3b	(/ 0.40462203869992125 (* z z))
3.1b	(* y (- (+ (/ 0.07512208616047561 z) 0.0692910599291889) (/ 0.40462203869992125 (* z z))))

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

16.0ms	(+ (/ 0.07512208616047561 z) 0.0692910599291889)
26.0ms	(+ x (* y (- (+ (/ 0.07512208616047561 z) 0.0692910599291889) (/ 0.40462203869992125 (* z z)))))
7.0ms	(/ 0.40462203869992125 (* z z))
159.0ms	(* y (- (+ (/ 0.07512208616047561 z) 0.0692910599291889) (/ 0.40462203869992125 (* z z))))

series283.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(+ (/ 0.07512208616047561 z) 0.0692910599291889)
117.0ms	(+ x (* y (- (+ (/ 0.07512208616047561 z) 0.0692910599291889) (/ 0.40462203869992125 (* z z)))))
31.0ms	(/ 0.40462203869992125 (* z z))
74.0ms	(* y (- (+ (/ 0.07512208616047561 z) 0.0692910599291889) (/ 0.40462203869992125 (* z z))))

simplify714.0ms

Counts

98 → 98

Iterations

Iter	Nodes
done	2000
2	1417
1	442
0	167

prune458.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes218.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 15.8b

bsearch307.0ms

Steps

Iters	Range		Point
9	1154723.8718698514	941504501108.8118	6913926.788249764
10	-121993772661.31783	-0.0015977726548224043	-33431027.499201205

simplify9.0ms

Iterations

Iter	Nodes
done	48
1	48
0	33

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.6s

8000×

body

valid