Details

sample110.0ms

Algorithm

intervals

Results

79.0ms

264×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4646
6	3199
5	1788
4	733
3	264
2	88
1	41
0	26

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.8b

localize60.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
30.8b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite343.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `add-cube-cbrt`
12×	`add-cbrt-cube` `add-exp-log`
10×	`pow1`
9×	`times-frac` `associate-r` `associate-l`
6×	`associate-*l/`
5×	`flip3-+` `flip-+`
4×	`insert-posit16` `add-log-exp`
3×	`associate-/r` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 95

Calls

4 calls:

77.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
64.0ms	(* (+ (* (+ y a) y) b) y)
75.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
125.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series686.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
52.0ms	(* (+ (* (+ y a) y) b) y)
87.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
433.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.0s

Counts

107 → 107

Iterations

Iter	Nodes
done	5004
2	1947
1	529
0	199

prune1.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 29.9b

localize108.0ms

Local error

Found 4 expressions with local error:

22.9b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
22.9b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
22.9b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
30.8b	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite537.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`cbrt-div` `add-cbrt-cube` `associate-*l/` `add-exp-log`
5×	`flip3-+` `flip-+`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`cbrt-prod` `associate-/r` `pow1/3` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 68

Calls

4 calls:

21.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
15.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
14.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
485.0ms	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.5s

Counts

4 → 12

Calls

4 calls:

277.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
324.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
285.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
579.0ms	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.7s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
3	4776
2	1168
1	410
0	169

prune1.5s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 29.8b

localize59.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* y (+ z (* x y))) 27464.7644705) y)
0.1b	(* y (+ (* (+ a y) y) b))
0.2b	(/ 1 (/ (+ i (* y (+ c (* y (+ (* (+ a y) y) b))))) (+ (* y (+ 230661.510616 (* (+ (* y (+ z (* x y))) 27464.7644705) y))) t)))
30.8b	(/ (+ i (* y (+ c (* y (+ (* (+ a y) y) b))))) (+ (* y (+ 230661.510616 (* (+ (* y (+ z (* x y))) 27464.7644705) y))) t))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 161

Calls

4 calls:

42.0ms	(* (+ (* y (+ z (* x y))) 27464.7644705) y)
39.0ms	(* y (+ (* (+ a y) y) b))
24.0ms	(/ 1 (/ (+ i (* y (+ c (* y (+ (* (+ a y) y) b))))) (+ (* y (+ 230661.510616 (* (+ (* y (+ z (* x y))) 27464.7644705) y))) t)))
43.0ms	(/ (+ i (* y (+ c (* y (+ (* (+ a y) y) b))))) (+ (* y (+ 230661.510616 (* (+ (* y (+ z (* x y))) 27464.7644705) y))) t))

series1.7m

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (+ (* y (+ z (* x y))) 27464.7644705) y)
53.0ms	(* y (+ (* (+ a y) y) b))
1.7m	(/ 1 (/ (+ i (* y (+ c (* y (+ (* (+ a y) y) b))))) (+ (* y (+ 230661.510616 (* (+ (* y (+ z (* x y))) 27464.7644705) y))) t)))
825.0ms	(/ (+ i (* y (+ c (* y (+ (* (+ a y) y) b))))) (+ (* y (+ 230661.510616 (* (+ (* y (+ z (* x y))) 27464.7644705) y))) t))

simplify2.1s

Counts

173 → 173

Iterations

Iter	Nodes
done	5010
2	3160
1	810
0	284

prune1.6s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 29.8b

localize112.0ms

Local error

Found 4 expressions with local error:

25.1b	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
25.1b	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
25.1b	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
30.8b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) (cbrt (+ (* (+ (* (+ y a) y) b) y) c))) (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) y)) i))

rewrite588.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `times-frac`
6×	`cbrt-div` `add-cbrt-cube` `add-exp-log`
5×	`flip3-+` `flip-+`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`associate-/r` `pow1/3` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 74

Calls

4 calls:

25.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
24.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
26.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
512.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) (cbrt (+ (* (+ (* (+ y a) y) b) y) c))) (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) y)) i))

series1.1s

Counts

4 → 12

Calls

4 calls:

192.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
227.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
194.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
463.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) (cbrt (+ (* (+ (* (+ y a) y) b) y) c))) (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) y)) i))

simplify2.7s

Counts

86 → 86

Iterations

Iter	Nodes
done	5002
3	4129
2	999
1	313
0	129

prune962.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 29.8b

regimes2.2s

Accuracy

0% (0.8b remaining)

Error of 28.0b against oracle of 27.2b and baseline of 28.0b

bsearch0.0ms

simplify13.0ms

Iterations

Iter	Nodes
done	45
1	45
0	29

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.7s

8260×

body

valid