Details

sample84.0ms

Algorithm

intervals

Results

36.0ms

259×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	2858
4	824
3	264
2	88
1	41
0	26

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.3b

localize102.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
32.5b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite312.0ms

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×	`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 → 91

Calls

4 calls:

72.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
22.0ms	(* (+ (* x y) z) y)
67.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
147.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series794.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
65.0ms	(* (+ (* x y) z) y)
66.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
547.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.0s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	2795
1	522
0	195

prune1.2s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 32.2b

localize211.0ms

Local error

Found 4 expressions with local error:

24.2b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
24.2b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
24.2b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
32.5b	(/ (+ (* (+ (* (* (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))

rewrite479.0ms

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` `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 → 64

Calls

4 calls:

30.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
27.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
23.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
397.0ms	(/ (+ (* (+ (* (* (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:

281.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
297.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
300.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
665.0ms	(/ (+ (* (+ (* (* (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))

simplify1.9s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
2	1288
1	408
0	167

prune1.2s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 32.2b

localize72.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ z (* y x)))
0.1b	(* y (+ (* y (+ z (* y x))) 27464.7644705))
0.3b	(/ 1 (/ (+ i (* y (+ c (* y (+ (* (+ a y) y) b))))) (+ (* y (+ 230661.510616 (* y (+ (* y (+ z (* y x))) 27464.7644705)))) t)))
32.7b	(/ (+ i (* y (+ c (* y (+ (* (+ a y) y) b))))) (+ (* y (+ 230661.510616 (* y (+ (* y (+ z (* y x))) 27464.7644705)))) t))

rewrite152.0ms

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` `associate-*r/` `add-log-exp`
2×	`distribute-rgt-in` `rec-exp` `clear-num` `frac-2neg` `distribute-lft-in` `1-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 159

Calls

4 calls:

24.0ms	(* y (+ z (* y x)))
39.0ms	(* y (+ (* y (+ z (* y x))) 27464.7644705))
30.0ms	(/ 1 (/ (+ i (* y (+ c (* y (+ (* (+ a y) y) b))))) (+ (* y (+ 230661.510616 (* y (+ (* y (+ z (* y x))) 27464.7644705)))) t)))
50.0ms	(/ (+ i (* y (+ c (* y (+ (* (+ a y) y) b))))) (+ (* y (+ 230661.510616 (* y (+ (* y (+ z (* y x))) 27464.7644705)))) t))

series1.8m

Counts

4 → 12

Calls

4 calls:

63.0ms	(* y (+ z (* y x)))
95.0ms	(* y (+ (* y (+ z (* y x))) 27464.7644705))
1.7m	(/ 1 (/ (+ i (* y (+ c (* y (+ (* (+ a y) y) b))))) (+ (* y (+ 230661.510616 (* y (+ (* y (+ z (* y x))) 27464.7644705)))) t)))
991.0ms	(/ (+ i (* y (+ c (* y (+ (* (+ a y) y) b))))) (+ (* y (+ 230661.510616 (* y (+ (* y (+ z (* y x))) 27464.7644705)))) t))

simplify3.7s

Counts

171 → 171

Iterations

Iter	Nodes
done	5000
2	4742
1	825
0	280

prune2.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 32.2b

localize96.0ms

Local error

Found 4 expressions with local error:

1.8b	(* (* y y) (* y x))
6.1b	(* (* y y) z)
6.3b	(+ (* (* y y) z) (* (* y y) (* y x)))
32.7b	(/ (+ i (* y (+ c (* y (+ (* (+ a y) y) b))))) (+ (* y (+ 230661.510616 (+ (+ (* (* y y) z) (* (* y y) (* y x))) (* 27464.7644705 y)))) t))

rewrite417.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

38.0ms	(* (* y y) (* y x))
16.0ms	(* (* y y) z)
21.0ms	(+ (* (* y y) z) (* (* y y) (* y x)))
337.0ms	(/ (+ i (* y (+ c (* y (+ (* (+ a y) y) b))))) (+ (* y (+ 230661.510616 (+ (+ (* (* y y) z) (* (* y y) (* y x))) (* 27464.7644705 y)))) t))

series1.1s

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (* y y) (* y x))
30.0ms	(* (* y y) z)
77.0ms	(+ (* (* y y) z) (* (* y y) (* y x)))
997.0ms	(/ (+ i (* y (+ c (* y (+ (* (+ a y) y) b))))) (+ (* y (+ 230661.510616 (+ (+ (* (* y y) z) (* (* y y) (* y x))) (* 27464.7644705 y)))) t))

simplify3.2s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	3237
1	487
0	168

prune1.0s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 32.2b

regimes2.1s

Accuracy

0% (1.0b remaining)

Error of 29.1b against oracle of 28.0b and baseline of 29.1b

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	41
1	41
0	26

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.9s

8248×

body

valid