Details

sample75.0ms

Algorithm

intervals

Results

36.0ms

265×

body

valid

simplify4.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	3986
4	962
3	302
2	102
1	48
0	26

prune43.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 27.4b

localize78.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
26.8b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite254.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 99

Calls

4 calls:

41.0ms	(* (+ (* (+ y a) y) b) y)
26.0ms	(* (+ (* x y) z) y)
67.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
118.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series751.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (+ (* (+ y a) y) b) y)
50.0ms	(* (+ (* x y) z) y)
104.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
538.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.7s

Counts

111 → 111

Iterations

Iter	Nodes
done	5002
2	2486
1	536
0	202

prune1.4s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 26.5b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.5b	(/ 1 (fma (fma (fma y (+ a y) b) y c) y i))
26.7b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (fma (fma (fma y (+ a y) b) y c) y i)))

rewrite279.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
21×	`add-exp-log`
20×	`times-frac`
19×	`associate-r`
15×	`add-cbrt-cube`
11×	`pow1`
9×	`associate-l`
6×	`associate-*l/` `prod-exp`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `flip3-+` `div-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `pow-prod-down` `-commutative` `associate-/l*`
2×	`frac-times` `cbrt-undiv` `rec-exp` `1-exp` `div-inv`
1×	`clear-num` `frac-2neg` `associate-*r/` `un-div-inv` `pow-flip` `inv-pow`

Counts

4 → 119

Calls

4 calls:

31.0ms	(* (+ (* x y) z) y)
47.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
7.0ms	(/ 1 (fma (fma (fma y (+ a y) b) y c) y i))
191.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (fma (fma (fma y (+ a y) b) y c) y i)))

series726.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (+ (* x y) z) y)
85.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
103.0ms	(/ 1 (fma (fma (fma y (+ a y) b) y c) y i))
492.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (fma (fma (fma y (+ a y) b) y c) y i)))

simplify2.2s

Counts

131 → 131

Iterations

Iter	Nodes
done	5003
2	2893
1	511
0	201

prune1.6s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 26.5b

localize62.0ms

Local error

Found 4 expressions with local error:

16.7b	(cbrt (fma y (+ a y) b))
16.7b	(cbrt (+ (* (+ y a) y) b))
16.7b	(cbrt (+ (* (+ y a) y) b))
26.8b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (+ (* (+ y a) y) b)) (cbrt (+ (* (+ y a) y) b))) (* (cbrt (fma y (+ a y) b)) y)) c) y) i))

rewrite405.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `times-frac`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `cbrt-div` `flip3-+` `flip-+` `log1p-expm1-u` `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 → 76

Calls

4 calls:

1.0ms	(cbrt (fma y (+ a y) b))
7.0ms	(cbrt (+ (* (+ y a) y) b))
7.0ms	(cbrt (+ (* (+ y a) y) b))
386.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (+ (* (+ y a) y) b)) (cbrt (+ (* (+ y a) y) b))) (* (cbrt (fma y (+ a y) b)) y)) c) y) i))

series1.5s

Counts

4 → 12

Calls

4 calls:

157.0ms	(cbrt (fma y (+ a y) b))
170.0ms	(cbrt (+ (* (+ y a) y) b))
178.0ms	(cbrt (+ (* (+ y a) y) b))
1.0s	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (+ (* (+ y a) y) b)) (cbrt (+ (* (+ y a) y) b))) (* (cbrt (fma y (+ a y) b)) y)) c) y) i))

simplify836.0ms

Counts

88 → 88

Iterations

Iter	Nodes
done	5001
2	1410
1	376
0	156

prune1.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 26.5b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma y (fma y (fma y (fma y x z) 27464.7644705) 230661.510616) t)
0.0b	(fma y (fma y x z) 27464.7644705)
0.1b	(fma y (fma y (fma y x z) 27464.7644705) 230661.510616)
26.8b	(/ (fma y (fma y (fma y (fma y x z) 27464.7644705) 230661.510616) t) (fma (fma (fma (+ y a) y b) y c) y i))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `fma-udef` `associate-/l`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 59

Calls

4 calls:

0.0ms	(fma y (fma y (fma y (fma y x z) 27464.7644705) 230661.510616) t)
0.0ms	(fma y (fma y x z) 27464.7644705)
0.0ms	(fma y (fma y (fma y x z) 27464.7644705) 230661.510616)
4.0ms	(/ (fma y (fma y (fma y (fma y x z) 27464.7644705) 230661.510616) t) (fma (fma (fma (+ y a) y b) y c) y i))

series593.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(fma y (fma y (fma y (fma y x z) 27464.7644705) 230661.510616) t)
61.0ms	(fma y (fma y x z) 27464.7644705)
51.0ms	(fma y (fma y (fma y x z) 27464.7644705) 230661.510616)
388.0ms	(/ (fma y (fma y (fma y (fma y x z) 27464.7644705) 230661.510616) t) (fma (fma (fma (+ y a) y b) y c) y i))

simplify1.9s

Counts

71 → 71

Iterations

Iter	Nodes
done	5002
3	2540
2	559
1	197
0	113

prune763.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 26.5b

regimes1.9s

Accuracy

0% (1.1b remaining)

Error of 29.0b against oracle of 27.9b and baseline of 29.0b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	26
2	26
1	25
0	21

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.8s

8259×

body

valid