Details

sample26.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	21
1	35	21
2	64	21
3	143	21
4	276	21
5	400	21
6	481	21
7	564	21
8	728	21
9	949	21
10	955	21
done	955	21

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (+ z 6.012459259764103) z) 3.350343815022304)
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
5.5b	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
20.3b	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

13.0ms	(+ (* (+ z 6.012459259764103) z) 3.350343815022304)
44.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
60.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
80.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series357.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (* (+ z 6.012459259764103) z) 3.350343815022304)
96.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
78.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
160.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify1.4s

Counts

90 → 90

Iterations

Useful iterations: 2 (407.0ms)

Iter	Nodes	Cost
0	173	1526
1	483	1494
2	1704	1278
done	5002	1278

prune339.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (+ z 6.012459259764103) z) 3.350343815022304)
0.1b	(* y (+ (* z 0.0692910599291889) 0.4917317610505968))
0.2b	(* (* y (+ (* z 0.0692910599291889) 0.4917317610505968)) z)
20.3b	(/ (+ (* (* y (+ (* z 0.0692910599291889) 0.4917317610505968)) z) (* 0.279195317918525 y)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite302.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

20.0ms	(+ (* (+ z 6.012459259764103) z) 3.350343815022304)
31.0ms	(* y (+ (* z 0.0692910599291889) 0.4917317610505968))
57.0ms	(* (* y (+ (* z 0.0692910599291889) 0.4917317610505968)) z)
191.0ms	(/ (+ (* (* y (+ (* z 0.0692910599291889) 0.4917317610505968)) z) (* 0.279195317918525 y)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series368.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (* (+ z 6.012459259764103) z) 3.350343815022304)
57.0ms	(* y (+ (* z 0.0692910599291889) 0.4917317610505968))
81.0ms	(* (* y (+ (* z 0.0692910599291889) 0.4917317610505968)) z)
199.0ms	(/ (+ (* (* y (+ (* z 0.0692910599291889) 0.4917317610505968)) z) (* 0.279195317918525 y)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify1.0s

Counts

96 → 96

Iterations

Useful iterations: 2 (390.0ms)

Iter	Nodes	Cost
0	177	1818
1	480	1788
2	1688	1510
done	5000	1510

prune369.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ (* z 0.0692910599291889) 0.4917317610505968))
0.2b	(* (* y (+ (* z 0.0692910599291889) 0.4917317610505968)) z)
0.3b	(/ 1 (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
20.2b	(* (+ (* (* y (+ (* z 0.0692910599291889) 0.4917317610505968)) z) (* 0.279195317918525 y)) (/ 1 (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))

rewrite321.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
24×	`add-exp-log` `*-un-lft-identity`
23×	`add-cube-cbrt`
21×	`associate-r`
20×	`times-frac`
18×	`add-cbrt-cube`
14×	`pow1`
8×	`prod-exp`
7×	`associate-l`
6×	`flip3-+` `cbrt-unprod` `flip-+`
5×	`associate-*r/` `pow-prod-down`
4×	`div-exp` `associate-*l/` `associate-/r/` `add-log-exp` `unswap-sqr`
3×	`associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `div-inv`
1×	`distribute-rgt-in` `pow-flip` `frac-2neg` `distribute-lft-in` `clear-num` `un-div-inv` `inv-pow`

Counts

4 → 117

Calls

4 calls:

26.0ms	(* y (+ (* z 0.0692910599291889) 0.4917317610505968))
44.0ms	(* (* y (+ (* z 0.0692910599291889) 0.4917317610505968)) z)
33.0ms	(/ 1 (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
213.0ms	(* (+ (* (* y (+ (* z 0.0692910599291889) 0.4917317610505968)) z) (* 0.279195317918525 y)) (/ 1 (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))

series365.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* y (+ (* z 0.0692910599291889) 0.4917317610505968))
89.0ms	(* (* y (+ (* z 0.0692910599291889) 0.4917317610505968)) z)
52.0ms	(/ 1 (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
165.0ms	(* (+ (* (* y (+ (* z 0.0692910599291889) 0.4917317610505968)) z) (* 0.279195317918525 y)) (/ 1 (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))

simplify1.3s

Counts

129 → 129

Iterations

Useful iterations: 2 (421.0ms)

Iter	Nodes	Cost
0	229	2455
1	625	2267
2	2219	1917
done	5001	1917

prune448.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (+ z 6.012459259764103) z) 3.350343815022304)
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)))
16.8b	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite248.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

20.0ms	(+ (* (+ z 6.012459259764103) z) 3.350343815022304)
46.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
109.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
69.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series378.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (* (+ z 6.012459259764103) z) 3.350343815022304)
109.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
155.0ms	(* 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))

simplify1.3s

Counts

108 → 108

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	192	2214
1	500	2180
2	1595	1936
done	5000	1912

prune390.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes160.0ms

Accuracy

97.6% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 16.2b

bsearch274.0ms

Steps

Iters	Range		Point
10	7.432584257913239e-20	1.2374180015220204e-09	1.221975873940991e-09
10	-2.065963390124422e+135	-1.488607050460361e+122	-2.0350019712229258e+135

simplify7.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	35	69
1	51	55
done	51	55

end0.0ms

sample1.0s

Algorithm

intervals

Results

786.0ms

8000×

body

valid