Details

sample69.0ms

Algorithm

intervals

Results

26.0ms

270×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.1b

localize41.0ms

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)
27.5b	(/ (+ (* (+ (* (+ (* (+ (* 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:

81.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
41.0ms	(* (+ (* (+ y a) y) b) y)
60.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
136.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series728.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
59.0ms	(* (+ (* (+ y a) y) b) y)
77.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
497.0ms	(/ (+ (* (+ (* (+ (* (+ (* 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	5001
2	2832
1	526
0	195

prune1.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 26.7b

localize111.0ms

Local error

Found 4 expressions with local error:

20.0b	(cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))
20.0b	(cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))
20.0b	(cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))
27.5b	(/ (+ (* (+ (* (* (cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y)) (cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))) (cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite349.0ms

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:

11.0ms	(cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))
12.0ms	(cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))
11.0ms	(cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))
313.0ms	(/ (+ (* (+ (* (* (cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y)) (cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))) (cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.3s

Counts

4 → 12

Calls

4 calls:

312.0ms	(cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))
330.0ms	(cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))
261.0ms	(cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))
425.0ms	(/ (+ (* (+ (* (* (cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y)) (cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))) (cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify676.0ms

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
2	1238
1	366
0	149

prune1.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 26.7b

localize146.0ms

Local error

Found 4 expressions with local error:

20.0b	(cbrt (* (+ (* (+ z (* y x)) y) 27464.7644705) y))
20.0b	(cbrt (* (+ (* (+ z (* y x)) y) 27464.7644705) y))
20.0b	(cbrt (* (+ (* (+ z (* y x)) y) 27464.7644705) y))
27.5b	(/ (+ (* (+ (* (* (cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y)) (cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))) (* (* (cbrt (cbrt (* (+ (* (+ z (* y x)) y) 27464.7644705) y))) (cbrt (cbrt (* (+ (* (+ z (* y x)) y) 27464.7644705) y)))) (cbrt (cbrt (* (+ (* (+ z (* y x)) y) 27464.7644705) y))))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite1.2s

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:

15.0ms	(cbrt (* (+ (* (+ z (* y x)) y) 27464.7644705) y))
11.0ms	(cbrt (* (+ (* (+ z (* y x)) y) 27464.7644705) y))
10.0ms	(cbrt (* (+ (* (+ z (* y x)) y) 27464.7644705) y))
1.1s	(/ (+ (* (+ (* (* (cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y)) (cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))) (* (* (cbrt (cbrt (* (+ (* (+ z (* y x)) y) 27464.7644705) y))) (cbrt (cbrt (* (+ (* (+ z (* y x)) y) 27464.7644705) y)))) (cbrt (cbrt (* (+ (* (+ z (* y x)) y) 27464.7644705) y))))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series2.2s

Counts

4 → 12

Calls

4 calls:

578.0ms	(cbrt (* (+ (* (+ z (* y x)) y) 27464.7644705) y))
574.0ms	(cbrt (* (+ (* (+ z (* y x)) y) 27464.7644705) y))
549.0ms	(cbrt (* (+ (* (+ z (* y x)) y) 27464.7644705) y))
532.0ms	(/ (+ (* (+ (* (* (cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y)) (cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))) (* (* (cbrt (cbrt (* (+ (* (+ z (* y x)) y) 27464.7644705) y))) (cbrt (cbrt (* (+ (* (+ z (* y x)) y) 27464.7644705) y)))) (cbrt (cbrt (* (+ (* (+ z (* y x)) y) 27464.7644705) y))))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify690.0ms

Counts

76 → 76

Iterations

Iter	Nodes
done	5001
2	1590
1	454
0	180

prune1.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 26.7b

localize88.0ms

Local error

Found 4 expressions with local error:

20.0b	(cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))
20.0b	(cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))
20.0b	(cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))
27.4b	(* (+ (* (+ (* (* (cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y)) (cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))) (cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))) 230661.510616) y) t) (/ 1 (+ i (* y (+ c (* y (+ (* y (+ a y)) b)))))))

rewrite729.0ms

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:

20.0ms	(cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))
19.0ms	(cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))
20.0ms	(cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))
665.0ms	(* (+ (* (+ (* (* (cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y)) (cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))) (cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))) 230661.510616) y) t) (/ 1 (+ i (* y (+ c (* y (+ (* y (+ a y)) b)))))))

series1.5s

Counts

4 → 12

Calls

4 calls:

296.0ms	(cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))
314.0ms	(cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))
336.0ms	(cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))
532.0ms	(* (+ (* (+ (* (* (cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y)) (cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))) (cbrt (* (+ (* y (+ z (* y x))) 27464.7644705) y))) 230661.510616) y) t) (/ 1 (+ i (* y (+ c (* y (+ (* y (+ a y)) b)))))))

simplify3.8s

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
2	3203
1	518
0	181

prune1.2s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 26.7b

regimes1.7s

Accuracy

0% (1.1b remaining)

Error of 29.2b against oracle of 28.1b and baseline of 29.2b

bsearch0.0ms

simplify16.0ms

Iterations

Iter	Nodes
done	55
3	55
2	54
1	53
0	36

end0.0ms

sample2.8s

Algorithm

intervals

Results

2.0s

8242×

body

valid