Details

sample27.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify704.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	21
1	35	21
2	63	21
3	120	21
4	203	21
5	291	21
6	366	21
7	472	21
8	574	21
9	614	21
10	616	21
done	616	21

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ z 6.012459259764103) z)
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
3.3b	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
19.5b	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite58.0ms

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:

12.0ms	(* (+ z 6.012459259764103) z)
10.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
18.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
16.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series304.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (+ z 6.012459259764103) z)
61.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
59.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
137.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify833.0ms

Counts

100 → 100

Iterations

Useful iterations: 2 (191.0ms)

Iter	Nodes	Cost
0	190	1538
1	523	1492
2	1791	1282
done	5000	1282

prune286.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize14.0ms

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)))
13.2b	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite80.0ms

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:

9.0ms	(* (+ z 6.012459259764103) z)
10.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
37.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
20.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series292.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (+ z 6.012459259764103) z)
67.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
117.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
65.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify838.0ms

Counts

118 → 118

Iterations

Useful iterations: 2 (226.0ms)

Iter	Nodes	Cost
0	209	2226
1	544	2178
2	1707	1940
done	5000	1940

prune314.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

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)))
13.3b	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

rewrite68.0ms

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:

9.0ms	(* (+ z 6.012459259764103) z)
10.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
23.0ms	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
21.0ms	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

series473.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (+ z 6.012459259764103) z)
244.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
121.0ms	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
65.0ms	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

simplify1.0s

Counts

162 → 162

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	303	4145
1	732	4037
2	2467	3793
done	5000	3789

prune483.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
0.3b	(/ y (* (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (/ 1 (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))))
0.5b	(/ 1 (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
13.3b	(* (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (/ 1 (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log`
33×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
23×	`times-frac`
22×	`add-cbrt-cube`
18×	`associate-r`
11×	`div-exp`
10×	`associate-/r/`
9×	`pow1` `prod-exp`
7×	`flip3-+` `flip-+`
6×	`cbrt-undiv` `associate-l` `associate-l/` `associate-/l`
5×	`cbrt-unprod`
4×	`frac-times` `associate-/r*` `add-log-exp` `unswap-sqr`
3×	`rec-exp` `1-exp` `div-inv`
2×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative`
1×	`pow-flip` `inv-pow`

Counts

4 → 126

Calls

4 calls:

10.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
14.0ms	(/ y (* (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (/ 1 (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))))
13.0ms	(/ 1 (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
40.0ms	(* (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (/ 1 (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))

series289.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
122.0ms	(/ y (* (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (/ 1 (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))))
40.0ms	(/ 1 (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
65.0ms	(* (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (/ 1 (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))

simplify1.2s

Counts

138 → 138

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	255	2886
1	660	2674
2	2194	2278
done	5001	2276

prune342.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes73.0ms

Accuracy

98.9% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 15.9b

bsearch164.0ms

Steps

Iters	Range		Point
10	1.1101557034144592e-16	0.20340815092809744	0.20031810048360668
9	-1.2400599024953455e+35	-2.6075589359692896e+26	-2.613934155784116e+33

simplify12.0ms

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	36	67
1	53	49
done	53	49

end0.0ms

sample503.0ms

Algorithm

intervals

Results

337.0ms

8000×

body

valid