Details

sample73.0ms

Algorithm

intervals

Results

47.0ms

265×

body

valid

simplify4.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	4295
5	2405
4	921
3	302
2	102
1	48
0	26

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.3b

localize48.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b	(* (+ (* (+ y a) y) b) y)
29.3b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite713.0ms

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` `insert-posit16` `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 → 103

Calls

4 calls:

76.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
107.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
34.0ms	(* (+ (* (+ y a) y) b) y)
495.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series704.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
121.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
49.0ms	(* (+ (* (+ y a) y) b) y)
405.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.1s

Counts

115 → 115

Iterations

Iter	Nodes
done	5000
2	2089
1	536
0	208

prune1.3s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 28.7b

localize77.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.3b	(/ 1 (fma y (fma (fma (+ y a) y b) y c) i))
29.4b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (fma y (fma (fma (+ y a) y b) y c) i)))

rewrite355.0ms

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-+` `insert-posit16` `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 → 123

Calls

4 calls:

73.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
100.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
4.0ms	(/ 1 (fma y (fma (fma (+ y a) y b) y c) i))
177.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (fma y (fma (fma (+ y a) y b) y c) i)))

series728.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
113.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
93.0ms	(/ 1 (fma y (fma (fma (+ y a) y b) y c) i))
442.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (fma y (fma (fma (+ y a) y b) y c) i)))

simplify2.2s

Counts

135 → 135

Iterations

Iter	Nodes
done	5006
2	1829
1	512
0	208

prune1.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 28.7b

localize97.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
29.3b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (* (cbrt y) (cbrt y)) (fma (+ y a) y b)) (cbrt y)) c) y) i))

rewrite254.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `pow1/3` `associate-/l`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 76

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
251.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (* (cbrt y) (cbrt y)) (fma (+ y a) y b)) (cbrt y)) c) y) i))

series1.4s

Counts

4 → 12

Calls

4 calls:

257.0ms	(cbrt y)
342.0ms	(cbrt y)
302.0ms	(cbrt y)
529.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (* (cbrt y) (cbrt y)) (fma (+ y a) y b)) (cbrt y)) c) y) i))

simplify2.9s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
3	4269
2	879
1	278
0	118

prune1.0s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 28.7b

localize101.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt y))
0.6b	(cbrt (cbrt y))
0.6b	(cbrt (cbrt y))
29.3b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (* (cbrt y) (cbrt y)) (fma (+ y a) y b)) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)))) c) y) i))

rewrite378.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
18×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `pow1/3` `associate-/l`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 85

Calls

4 calls:

1.0ms	(cbrt (cbrt y))
1.0ms	(cbrt (cbrt y))
1.0ms	(cbrt (cbrt y))
374.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (* (cbrt y) (cbrt y)) (fma (+ y a) y b)) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)))) c) y) i))

series1.6s

Counts

4 → 12

Calls

4 calls:

320.0ms	(cbrt (cbrt y))
351.0ms	(cbrt (cbrt y))
399.0ms	(cbrt (cbrt y))
486.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (* (cbrt y) (cbrt y)) (fma (+ y a) y b)) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)))) c) y) i))

simplify2.7s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
3	3996
2	887
1	291
0	128

prune1.2s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 28.7b

regimes1.5s

Accuracy

0% (0.8b remaining)

Error of 28.7b against oracle of 27.9b and baseline of 28.7b

bsearch0.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	42
1	42
0	28

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.6s

8250×

body

valid