Details

sample33.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 24.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ z 6.012459259764103) z)
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
4.0b	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
23.4b	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite261.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

41.0ms	(* (+ z 6.012459259764103) z)
30.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
93.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
93.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series439.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (+ z 6.012459259764103) z)
99.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
89.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
182.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify1.8s

Counts

100 → 100

Iterations

Useful iterations: 2 (464.0ms)

Iter	Nodes	Cost
0	190	1538
1	523	1492
2	1881	1284
done	5001	1284

prune425.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ z 6.012459259764103) z)
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)))
18.8b	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite278.0ms

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-exp-log` `add-cbrt-cube`
10×	`pow1` `associate-l`
5×	`flip3-+` `flip-+`
4×	`associate-*l/` `prod-exp` `associate-/r/` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `div-inv` `associate-/l/`
1×	`frac-2neg` `associate-*r/` `clear-num` `distribute-lft-out`

Counts

4 → 106

Calls

4 calls:

30.0ms	(* (+ z 6.012459259764103) z)
38.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
116.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
85.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series415.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (+ z 6.012459259764103) z)
104.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
168.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
95.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify1.4s

Counts

118 → 118

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	209	2226
1	540	2178
2	1781	1942
done	5000	1922

prune473.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize30.0ms

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)))
18.8b	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

rewrite180.0ms

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-exp-log` `add-cbrt-cube`
11×	`associate-/r/`
8×	`pow1` `flip3-+` `flip-+`
7×	`associate-l`
6×	`associate-r` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp` `associate-*l/` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`distribute-lft-out`

Counts

4 → 150

Calls

4 calls:

21.0ms	(* (+ z 6.012459259764103) z)
39.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
56.0ms	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
58.0ms	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

series373.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (+ z 6.012459259764103) z)
92.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
156.0ms	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
75.0ms	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

simplify1.5s

Counts

162 → 162

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	303	4145
1	718	4037
2	2503	3795
done	5001	3789

prune857.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* y (+ (* z 0.0692910599291889) 0.4917317610505968)) z) (* 0.279195317918525 y))
0.1b	(* y (+ (* z 0.0692910599291889) 0.4917317610505968))
0.2b	(* (* y (+ (* z 0.0692910599291889) 0.4917317610505968)) z)
23.4b	(/ (+ (* (* y (+ (* z 0.0692910599291889) 0.4917317610505968)) z) (* 0.279195317918525 y)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite426.0ms

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:

79.0ms	(+ (* (* y (+ (* z 0.0692910599291889) 0.4917317610505968)) z) (* 0.279195317918525 y))
49.0ms	(* y (+ (* z 0.0692910599291889) 0.4917317610505968))
60.0ms	(* (* y (+ (* z 0.0692910599291889) 0.4917317610505968)) z)
234.0ms	(/ (+ (* (* y (+ (* z 0.0692910599291889) 0.4917317610505968)) z) (* 0.279195317918525 y)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series473.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(+ (* (* y (+ (* z 0.0692910599291889) 0.4917317610505968)) z) (* 0.279195317918525 y))
67.0ms	(* y (+ (* z 0.0692910599291889) 0.4917317610505968))
87.0ms	(* (* y (+ (* z 0.0692910599291889) 0.4917317610505968)) z)
203.0ms	(/ (+ (* (* y (+ (* z 0.0692910599291889) 0.4917317610505968)) z) (* 0.279195317918525 y)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify1.2s

Counts

96 → 96

Iterations

Useful iterations: 2 (324.0ms)

Iter	Nodes	Cost
0	175	1950
1	482	1900
2	1721	1590
done	5000	1590

prune429.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes220.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 16.4b

bsearch301.0ms

Steps

Iters	Range		Point
10	44397760153.025795	2.4347309590744183e+24	57436210746.76834
9	-238404123.44529566	-2.921513544512531	-1043089.8838093246

simplify7.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	34	61
1	51	47
done	51	47

end0.0ms

sample1.3s

Algorithm

intervals

Results

930.0ms

8000×

body

valid