Details

sample53.0ms

Algorithm

intervals

Results

22.0ms

264×

body

valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	26	33
1	48	26
2	102	26
3	302	26
4	963	26
5	3902	26
done	5000	26

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 26.2b

localize72.0ms

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)
25.6b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite408.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
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×	`pow-prod-down` `prod-exp` `associate-/r` `-commutative` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 99

Calls

4 calls:

77.0ms	(* (+ (* (+ y a) y) b) y)
52.0ms	(* (+ (* x y) z) y)
94.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
182.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series783.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (+ (* (+ y a) y) b) y)
69.0ms	(* (+ (* x y) z) y)
81.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
568.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.0s

Counts

111 → 111

Iterations

Useful iterations: 2 (527.0ms)

Iter	Nodes	Cost
0	201	2585
1	535	2103
2	2489	1921
done	5000	1921

prune1.3s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 25.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
25.6b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)))

rewrite360.0ms

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×	`pow-prod-down` `associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-*r/` `clear-num` `un-div-inv` `inv-pow`

Counts

4 → 119

Calls

4 calls:

29.0ms	(* (+ (* x y) z) y)
109.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
11.0ms	(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
207.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)))

series756.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (+ (* x y) z) y)
93.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
106.0ms	(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
509.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)))

simplify2.8s

Counts

131 → 131

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	200	3084
1	510	2612
2	2880	2340
done	5000	2338

prune1.3s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 25.0b

localize70.0ms

Local error

Found 4 expressions with local error:

18.0b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
18.0b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
18.0b	(cbrt (fma (fma x y z) y 27464.7644705))
25.6b	(/ (+ (* (+ (* (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) (cbrt (+ (* (+ (* x y) z) y) 27464.7644705))) (* (cbrt (fma (fma x y z) y 27464.7644705)) y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite645.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod` `times-frac`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `cbrt-div` `flip3-+` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-/r` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 76

Calls

4 calls:

15.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
13.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
1.0ms	(cbrt (fma (fma x y z) y 27464.7644705))
612.0ms	(/ (+ (* (+ (* (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) (cbrt (+ (* (+ (* x y) z) y) 27464.7644705))) (* (cbrt (fma (fma x y z) y 27464.7644705)) y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.8s

Counts

4 → 12

Calls

4 calls:

271.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
246.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
273.0ms	(cbrt (fma (fma x y z) y 27464.7644705))
1.0s	(/ (+ (* (+ (* (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) (cbrt (+ (* (+ (* x y) z) y) 27464.7644705))) (* (cbrt (fma (fma x y z) y 27464.7644705)) y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify838.0ms

Counts

88 → 88

Iterations

Useful iterations: done (833.0ms)

Iter	Nodes	Cost
0	171	3545
1	416	2986
2	1414	2051
done	5002	1907

prune1.2s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 25.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
0.1b	(fma (fma x y z) y 27464.7644705)
0.3b	(/ 1 (/ (fma (fma (fma (+ y a) y b) y c) y i) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)))
25.6b	(/ (fma (fma (fma (+ y a) y b) y c) y i) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `fma-udef`
1×	`pow-flip` `associate-/r/` `inv-pow`

Counts

4 → 127

Calls

4 calls:

0.0ms	(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
1.0ms	(fma (fma x y z) y 27464.7644705)
32.0ms	(/ 1 (/ (fma (fma (fma (+ y a) y b) y c) y i) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)))
11.0ms	(/ (fma (fma (fma (+ y a) y b) y c) y i) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t))

series1.6s

Counts

4 → 12

Calls

4 calls:

80.0ms	(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
60.0ms	(fma (fma x y z) y 27464.7644705)
620.0ms	(/ 1 (/ (fma (fma (fma (+ y a) y b) y c) y i) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)))
863.0ms	(/ (fma (fma (fma (+ y a) y b) y c) y i) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t))

simplify1.6s

Counts

139 → 139

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	200	5094
1	438	4873
2	1851	4516
done	5001	4452

prune1.1s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 25.0b

regimes1.5s

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	32
1	37	32
done	37	32

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.6s

8257×

body

valid