Details

sample62.0ms

Algorithm

intervals

Results

39.0ms

262×

body

valid

simplify879.0ms

Counts: 1 → 1

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.3b

localize85.0ms

Local error

Found 4 expressions with local error:

30.3b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.0b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)

rewrite305.0ms

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

165.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
58.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
49.0ms	(* (+ (* (+ y a) y) b) y)
32.0ms	(* (+ (* x y) z) y)

series657.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

441.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
104.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
60.0ms	(* (+ (* (+ y a) y) b) y)
52.0ms	(* (+ (* x y) z) y)

simplify857.0ms

Counts: 115 → 115

prune3.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 29.4b

localize123.0ms

Local error

Found 4 expressions with local error:

30.3b	(/ (+ (* (+ (* (+ (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (+ (* x y) z)) y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
8.9b	(cbrt (+ (* x y) z))
8.9b	(cbrt (+ (* x y) z))
8.9b	(cbrt (+ (* x y) z))

rewrite521.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `times-frac`
6×	`cbrt-div` `add-cbrt-cube` `add-exp-log`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `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 → 82

Calls

4 calls:

Slowest

492.0ms	(/ (+ (* (+ (* (+ (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (+ (* x y) z)) y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
9.0ms	(cbrt (+ (* x y) z))
9.0ms	(cbrt (+ (* x y) z))
9.0ms	(cbrt (+ (* x y) z))

series947.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

462.0ms	(/ (+ (* (+ (* (+ (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (+ (* x y) z)) y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
194.0ms	(cbrt (+ (* x y) z))
156.0ms	(cbrt (+ (* x y) z))
135.0ms	(cbrt (+ (* x y) z))

simplify2.4s

Counts: 94 → 94

prune2.8s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 29.4b

localize107.0ms

Local error

Found 4 expressions with local error:

30.3b	(/ (fma (fma y (fma (+ y a) y b) c) y i) (fma y (fma y (fma y (fma y x z) 27464.7644705) 230661.510616) t))
0.5b	(/ 1 (/ (fma (fma y (fma (+ y a) y b) c) y i) (fma y (fma y (fma y (fma y x z) 27464.7644705) 230661.510616) t)))
0.1b	(fma y (fma y x z) 27464.7644705)
0.0b	(fma y (fma y (fma y (fma y x z) 27464.7644705) 230661.510616) t)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
54×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `fma-udef`
1×	`associate-/r/` `pow-flip` `inv-pow`

Counts

4 → 131

Calls

4 calls:

Slowest

13.0ms	(/ 1 (/ (fma (fma y (fma (+ y a) y b) c) y i) (fma y (fma y (fma y (fma y x z) 27464.7644705) 230661.510616) t)))
9.0ms	(/ (fma (fma y (fma (+ y a) y b) c) y i) (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 (fma y x z) 27464.7644705) 230661.510616) t)

series1.5s

Counts

4 → 12

Calls

4 calls:

Slowest

688.0ms	(/ (fma (fma y (fma (+ y a) y b) c) y i) (fma y (fma y (fma y (fma y x z) 27464.7644705) 230661.510616) t))
680.0ms	(/ 1 (/ (fma (fma y (fma (+ y a) y b) c) y i) (fma y (fma y (fma y (fma y x z) 27464.7644705) 230661.510616) t)))
110.0ms	(fma y (fma y (fma y (fma y x z) 27464.7644705) 230661.510616) t)
48.0ms	(fma y (fma y x z) 27464.7644705)

simplify2.0s

Counts: 143 → 143

prune4.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 29.4b

localize76.0ms

Local error

Found 4 expressions with local error:

30.2b	(* (/ 1 (fma (fma y (fma (+ y a) y b) c) y i)) (fma y (fma y (fma y (fma y x z) 27464.7644705) 230661.510616) t))
0.1b	(/ 1 (fma (fma y (fma (+ y a) y b) c) y i))
0.1b	(fma y (fma y x z) 27464.7644705)
0.0b	(fma y (fma y (fma y (fma y x z) 27464.7644705) 230661.510616) t)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`times-frac` `add-cube-cbrt`
17×	`add-exp-log`
13×	`associate-l`
11×	`add-cbrt-cube`
7×	`pow1`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 96

Calls

4 calls:

Slowest

11.0ms	(* (/ 1 (fma (fma y (fma (+ y a) y b) c) y i)) (fma y (fma y (fma y (fma y x z) 27464.7644705) 230661.510616) t))
4.0ms	(/ 1 (fma (fma y (fma (+ y a) y b) c) y i))
0.0ms	(fma y (fma y x z) 27464.7644705)
0.0ms	(fma y (fma y (fma y (fma y x z) 27464.7644705) 230661.510616) t)

series857.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

602.0ms	(* (/ 1 (fma (fma y (fma (+ y a) y b) c) y i)) (fma y (fma y (fma y (fma y x z) 27464.7644705) 230661.510616) t))
134.0ms	(fma y (fma y (fma y (fma y x z) 27464.7644705) 230661.510616) t)
81.0ms	(/ 1 (fma (fma y (fma (+ y a) y b) c) y i))
40.0ms	(fma y (fma y x z) 27464.7644705)

simplify1.3s

Counts: 108 → 108

prune2.9s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 29.4b

regimes2.2s

Accuracy

0% (0.9b remaining)

Error of 28.8b against oracle of 27.9b and baseline of 28.8b

bsearch12.0ms

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.6s

8244×

body

valid