Details

sample119.0ms

Algorithm

intervals

Results

82.0ms

260×

body

valid

simplify808.0ms

Counts: 1 → 1

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.2b

localize86.0ms

Local error

Found 4 expressions with local error:

29.1b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ y a) y) b) y)

rewrite355.0ms

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:

Slowest

126.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
93.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
69.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
65.0ms	(* (+ (* (+ y a) y) b) y)

series747.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

473.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
111.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
95.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
69.0ms	(* (+ (* (+ y a) y) b) y)

simplify937.0ms

Counts: 115 → 115

prune2.4s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 28.5b

localize58.0ms

Local error

Found 4 expressions with local error:

29.1b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (fma (fma y (fma (+ y a) y b) c) y i)))
0.2b	(/ 1 (fma (fma y (fma (+ y a) y b) c) y i))
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.0b	(fma (fma y (fma (+ y a) y b) c) y i)

rewrite301.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac`
19×	`add-exp-log`
16×	`associate-r`
13×	`add-cbrt-cube`
9×	`pow1`
6×	`associate-l`
5×	`prod-exp`
4×	`expm1-log1p-u` `div-exp` `associate-*l/` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-/r` `flip3-+` `cbrt-unprod` `flip-+` `associate-/l`
2×	`frac-times` `cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`clear-num` `frac-2neg` `associate-*r/` `un-div-inv` `fma-udef` `pow-flip` `inv-pow`

Counts

4 → 111

Calls

4 calls:

Slowest

211.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (fma (fma y (fma (+ y a) y b) c) y i)))
79.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
8.0ms	(/ 1 (fma (fma y (fma (+ y a) y b) c) y i))
0.0ms	(fma (fma y (fma (+ y a) y b) c) y i)

series809.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

441.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (fma (fma y (fma (+ y a) y b) c) y i)))
163.0ms	(fma (fma y (fma (+ y a) y b) c) y i)
112.0ms	(/ 1 (fma (fma y (fma (+ y a) y b) c) y i))
92.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)

simplify3.0s

Counts: 123 → 123

prune2.8s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 28.5b

localize107.0ms

Local error

Found 4 expressions with local error:

29.1b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
29.1b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
29.1b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
2.1b	(cbrt (/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite513.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 129

Calls

4 calls:

Slowest

168.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
157.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
141.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
43.0ms	(cbrt (/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series2.2s

Counts

4 → 12

Calls

4 calls:

Slowest

781.0ms	(cbrt (/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
499.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
496.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
423.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.9s

Counts: 141 → 141

prune4.0s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 28.5b

localize155.0ms

Local error

Found 4 expressions with local error:

29.1b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
29.1b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
24.1b	(/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))
20.4b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite595.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-div`
21×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
20×	`add-exp-log`
19×	`times-frac`
17×	`flip3-+` `flip-+`
12×	`add-cbrt-cube` `associate-/r/` `associate-/l/`
8×	`frac-times`
7×	`associate-/r` `associate-/l`
6×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow1` `associate-l/` `prod-exp` `associate-r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `clear-num` `frac-2neg` `div-inv`
1×	`pow1/3`

Counts

4 → 124

Calls

4 calls:

Slowest

284.0ms	(/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))
155.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
112.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
41.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series4.6s

Counts

4 → 12

Calls

4 calls:

Slowest

3.3s	(/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))
547.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
515.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
188.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.0s

Counts: 136 → 136

prune4.3s

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 28.5b

regimes1.8s

Accuracy

0% (0.8b remaining)

Error of 28.6b against oracle of 27.8b and baseline of 28.6b

bsearch10.0ms

end0.0ms

sample2.9s

Algorithm

intervals

Results

2.4s

8239×

body

valid