Details

sample58.0ms

Algorithm

intervals

Results

25.0ms

259×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

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

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.3b

localize98.0ms

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))

rewrite323.0ms

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:

97.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
22.0ms	(* (+ (* x y) z) y)
57.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
143.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series735.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
63.0ms	(* (+ (* x y) z) y)
72.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
480.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.9s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	2795
1	522
0	195

prune1.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 32.2b

localize223.0ms

Local error

Found 4 expressions with local error:

24.2b	(cbrt (* (+ 27464.7644705 (* (+ (* y x) z) y)) y))
24.2b	(cbrt (* (+ 27464.7644705 (* (+ (* y x) z) y)) y))
24.2b	(cbrt (* (+ 27464.7644705 (* (+ (* y x) z) y)) y))
32.5b	(/ (+ (* (+ (* (* (cbrt (* (+ 27464.7644705 (* (+ (* y x) z) y)) y)) (cbrt (* (+ 27464.7644705 (* (+ (* y x) z) y)) y))) (cbrt (* (+ 27464.7644705 (* (+ (* y x) z) y)) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite267.0ms

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:

6.0ms	(cbrt (* (+ 27464.7644705 (* (+ (* y x) z) y)) y))
8.0ms	(cbrt (* (+ 27464.7644705 (* (+ (* y x) z) y)) y))
9.0ms	(cbrt (* (+ 27464.7644705 (* (+ (* y x) z) y)) y))
242.0ms	(/ (+ (* (+ (* (* (cbrt (* (+ 27464.7644705 (* (+ (* y x) z) y)) y)) (cbrt (* (+ 27464.7644705 (* (+ (* y x) z) y)) y))) (cbrt (* (+ 27464.7644705 (* (+ (* y x) z) y)) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.4s

Counts

4 → 12

Calls

4 calls:

311.0ms	(cbrt (* (+ 27464.7644705 (* (+ (* y x) z) y)) y))
305.0ms	(cbrt (* (+ 27464.7644705 (* (+ (* y x) z) y)) y))
332.0ms	(cbrt (* (+ 27464.7644705 (* (+ (* y x) z) y)) y))
477.0ms	(/ (+ (* (+ (* (* (cbrt (* (+ 27464.7644705 (* (+ (* y x) z) y)) y)) (cbrt (* (+ 27464.7644705 (* (+ (* y x) z) y)) y))) (cbrt (* (+ 27464.7644705 (* (+ (* y x) z) y)) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify788.0ms

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
2	1425
1	381
0	155

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 32.2b

localize63.0ms

Local error

Found 4 expressions with local error:

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

rewrite139.0ms

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` `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 → 157

Calls

4 calls:

35.0ms	(* y (+ (* x y) z))
14.0ms	(* (+ 27464.7644705 (* y (+ (* x y) z))) y)
33.0ms	(/ 1 (/ (+ i (* y (+ c (* y (+ (* (+ a y) y) b))))) (+ (* (+ 230661.510616 (* (+ 27464.7644705 (* y (+ (* x y) z))) y)) y) t)))
46.0ms	(/ (+ i (* y (+ c (* y (+ (* (+ a y) y) b))))) (+ (* (+ 230661.510616 (* (+ 27464.7644705 (* y (+ (* x y) z))) y)) y) t))

series1.7m

Counts

4 → 12

Calls

4 calls:

35.0ms	(* y (+ (* x y) z))
63.0ms	(* (+ 27464.7644705 (* y (+ (* x y) z))) y)
1.7m	(/ 1 (/ (+ i (* y (+ c (* y (+ (* (+ a y) y) b))))) (+ (* (+ 230661.510616 (* (+ 27464.7644705 (* y (+ (* x y) z))) y)) y) t)))
954.0ms	(/ (+ i (* y (+ c (* y (+ (* (+ a y) y) b))))) (+ (* (+ 230661.510616 (* (+ 27464.7644705 (* y (+ (* x y) z))) y)) y) t))

simplify484.0ms

Counts

169 → 169

Iterations

Iter	Nodes
done	5000
1	788
0	277

prune1.7s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 32.2b

localize156.0ms

Local error

Found 4 expressions with local error:

24.2b	(cbrt (* (+ 27464.7644705 (* (+ (* y x) z) y)) y))
24.2b	(cbrt (* (+ 27464.7644705 (* (+ (* y x) z) y)) y))
24.2b	(cbrt (* (+ 27464.7644705 (* (+ (* y x) z) y)) y))
32.6b	(* (+ (* (+ (* (* (cbrt (* (+ 27464.7644705 (* (+ (* y x) z) y)) y)) (cbrt (* (+ 27464.7644705 (* (+ (* y x) z) y)) y))) (cbrt (* (+ 27464.7644705 (* (+ (* y x) z) y)) y))) 230661.510616) y) t) (/ 1 (+ i (* y (+ c (* y (+ (* (+ a y) y) b)))))))

rewrite369.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`associate-r`
13×	`*-un-lft-identity` `add-exp-log`
12×	`add-cube-cbrt`
11×	`times-frac`
9×	`add-cbrt-cube`
8×	`associate-*l/`
6×	`pow1` `cbrt-div` `flip3-+` `flip-+`
4×	`prod-exp` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l` `unswap-sqr`
2×	`frac-times` `div-exp` `associate-/r/` `cbrt-unprod`
1×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `div-inv`

Counts

4 → 75

Calls

4 calls:

5.0ms	(cbrt (* (+ 27464.7644705 (* (+ (* y x) z) y)) y))
5.0ms	(cbrt (* (+ 27464.7644705 (* (+ (* y x) z) y)) y))
5.0ms	(cbrt (* (+ 27464.7644705 (* (+ (* y x) z) y)) y))
352.0ms	(* (+ (* (+ (* (* (cbrt (* (+ 27464.7644705 (* (+ (* y x) z) y)) y)) (cbrt (* (+ 27464.7644705 (* (+ (* y x) z) y)) y))) (cbrt (* (+ 27464.7644705 (* (+ (* y x) z) y)) y))) 230661.510616) y) t) (/ 1 (+ i (* y (+ c (* y (+ (* (+ a y) y) b)))))))

series1.3s

Counts

4 → 12

Calls

4 calls:

304.0ms	(cbrt (* (+ 27464.7644705 (* (+ (* y x) z) y)) y))
281.0ms	(cbrt (* (+ 27464.7644705 (* (+ (* y x) z) y)) y))
278.0ms	(cbrt (* (+ 27464.7644705 (* (+ (* y x) z) y)) y))
486.0ms	(* (+ (* (+ (* (* (cbrt (* (+ 27464.7644705 (* (+ (* y x) z) y)) y)) (cbrt (* (+ 27464.7644705 (* (+ (* y x) z) y)) y))) (cbrt (* (+ 27464.7644705 (* (+ (* y x) z) y)) y))) 230661.510616) y) t) (/ 1 (+ i (* y (+ c (* y (+ (* (+ a y) y) b)))))))

simplify3.5s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	3419
1	529
0	187

prune1.1s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 32.2b

regimes1.4s

Accuracy

0% (1.3b remaining)

Error of 29.3b against oracle of 28.0b and baseline of 29.3b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	45
1	45
0	28

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.6s

8248×

body

valid