Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify738.0ms

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	610	21
10	612	21
done	612	21

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
3.5b	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
19.9b	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`add-exp-log` `add-cbrt-cube`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt`
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` `distribute-lft-out` `associate-/l*`

Counts

4 → 79

Calls

4 calls:

16.0ms	(+ x (/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
11.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
19.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
18.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series441.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(+ x (/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
67.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
52.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
122.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify832.0ms

Counts

91 → 91

Iterations

Useful iterations: 2 (191.0ms)

Iter	Nodes	Cost
0	189	1805
1	533	1717
2	1768	1513
done	5000	1513

prune267.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ 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)))
13.9b	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite74.0ms

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:

2.0ms	(+ x (* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
10.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
38.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
21.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series446.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(+ x (* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
66.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
118.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
66.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify806.0ms

Counts

108 → 108

Iterations

Useful iterations: done (801.0ms)

Iter	Nodes	Cost
0	208	2472
1	554	2382
2	1710	2150
done	5000	2130

prune308.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

13.8b	(cbrt (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
13.8b	(cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
13.8b	(cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
13.8b	(cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

5.0ms	(cbrt (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
4.0ms	(cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
4.0ms	(cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
4.0ms	(cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series480.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(cbrt (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
110.0ms	(cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
114.0ms	(cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
110.0ms	(cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify1.6s

Counts

64 → 64

Iterations

Useful iterations: 3 (717.0ms)

Iter	Nodes	Cost
0	154	1286
1	380	1242
2	1089	1165
3	3863	1082
done	5000	1082

prune314.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* z y) (+ (* z 0.0692910599291889) 0.4917317610505968)) (* y 0.279195317918525))
0.0b	(+ x (/ (+ (* (* z y) (+ (* z 0.0692910599291889) 0.4917317610505968)) (* y 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
0.2b	(* (* z y) (+ (* z 0.0692910599291889) 0.4917317610505968))
19.9b	(/ (+ (* (* z y) (+ (* z 0.0692910599291889) 0.4917317610505968)) (* y 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

8.0ms	(+ (* (* z y) (+ (* z 0.0692910599291889) 0.4917317610505968)) (* y 0.279195317918525))
38.0ms	(+ x (/ (+ (* (* z y) (+ (* z 0.0692910599291889) 0.4917317610505968)) (* y 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
12.0ms	(* (* z y) (+ (* z 0.0692910599291889) 0.4917317610505968))
30.0ms	(/ (+ (* (* z y) (+ (* z 0.0692910599291889) 0.4917317610505968)) (* y 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series285.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (* (* z y) (+ (* z 0.0692910599291889) 0.4917317610505968)) (* y 0.279195317918525))
142.0ms	(+ x (/ (+ (* (* z y) (+ (* z 0.0692910599291889) 0.4917317610505968)) (* y 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
44.0ms	(* (* z y) (+ (* z 0.0692910599291889) 0.4917317610505968))
64.0ms	(/ (+ (* (* z y) (+ (* z 0.0692910599291889) 0.4917317610505968)) (* y 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify898.0ms

Counts

90 → 90

Iterations

Useful iterations: 2 (279.0ms)

Iter	Nodes	Cost
0	184	2228
1	525	2122
2	1881	1940
done	5000	1940

prune237.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes104.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 16.1b

bsearch105.0ms

Steps

Iters	Range		Point
9	0.08347146558812443	2231369.5462890854	2180725.667450929
4	-3.644738331934945e+69	-2.403682797776518e+69	-3.3690365409637708e+69

simplify5.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	30	51
1	46	41
done	46	41

end0.0ms

sample542.0ms

Algorithm

intervals

Results

357.0ms

8000×

body

valid