Details

sample34.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify81.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	14	17
1	28	17
2	50	14
3	66	14
4	72	14
done	72	14

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 0.99229 (* x 0.04481))
0.0b	(+ 2.30753 (* x 0.27061))
0.0b	(* x (+ 0.99229 (* x 0.04481)))
16.1b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1` `fma-def`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`+-commutative` `associate-*r/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

12.0ms	(+ 0.99229 (* x 0.04481))
12.0ms	(+ 2.30753 (* x 0.27061))
20.0ms	(* x (+ 0.99229 (* x 0.04481)))
35.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series250.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(+ 0.99229 (* x 0.04481))
42.0ms	(+ 2.30753 (* x 0.27061))
73.0ms	(* x (+ 0.99229 (* x 0.04481)))
81.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.7s

Counts

101 → 101

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	163	1387
1	420	1180
2	1396	1050
done	5001	1049

prune384.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt 0.99229)
1.0b	(cbrt 0.99229)
1.0b	(cbrt 0.99229)
16.1b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (fma (* (cbrt 0.99229) (cbrt 0.99229)) (cbrt 0.99229) (* x 0.04481)))))

rewrite36.0ms

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

Counts

4 → 72

Calls

4 calls:

1.0ms	(cbrt 0.99229)
2.0ms	(cbrt 0.99229)
2.0ms	(cbrt 0.99229)
30.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (fma (* (cbrt 0.99229) (cbrt 0.99229)) (cbrt 0.99229) (* x 0.04481)))))

series127.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(cbrt 0.99229)
0.0ms	(cbrt 0.99229)
0.0ms	(cbrt 0.99229)
127.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (fma (* (cbrt 0.99229) (cbrt 0.99229)) (cbrt 0.99229) (* x 0.04481)))))

simplify2.3s

Counts

78 → 78

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	112	1299
1	263	1279
2	804	959
3	2782	773
done	5002	770

prune424.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 2.30753 (* x 0.27061)))
0.0b	(fma x (fma 0.04481 x 0.99229) 1.0)
3.6b	(/ (sqrt (+ 2.30753 (* x 0.27061))) (/ (fma x (fma 0.04481 x 0.99229) 1.0) (sqrt (fma 0.27061 x 2.30753))))
4.2b	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (sqrt (fma 0.27061 x 2.30753)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
158×	`add-sqr-sqrt`
157×	`add-cube-cbrt` `*-un-lft-identity`
147×	`sqrt-prod`
28×	`associate-/r*`
11×	`add-exp-log` `add-cbrt-cube`
9×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `sqrt-div` `div-exp` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l/`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/r/` `fma-udef`

Counts

4 → 247

Calls

4 calls:

11.0ms	(sqrt (+ 2.30753 (* x 0.27061)))
1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
41.0ms	(/ (sqrt (+ 2.30753 (* x 0.27061))) (/ (fma x (fma 0.04481 x 0.99229) 1.0) (sqrt (fma 0.27061 x 2.30753))))
7.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (sqrt (fma 0.27061 x 2.30753)))

series617.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(sqrt (+ 2.30753 (* x 0.27061)))
47.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
285.0ms	(/ (sqrt (+ 2.30753 (* x 0.27061))) (/ (fma x (fma 0.04481 x 0.99229) 1.0) (sqrt (fma 0.27061 x 2.30753))))
214.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (sqrt (fma 0.27061 x 2.30753)))

simplify2.0s

Counts

259 → 259

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	410	8774
1	924	7767
2	2926	7147
done	5000	6940

prune846.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (sqrt (fma 0.27061 x 2.30753)))
0.1b	(/ (sqrt (fma 0.27061 x 2.30753)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
16.0b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
16.0b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

90×	`sqrt-prod`
72×	`times-frac`
64×	`add-sqr-sqrt`
62×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-/r` `associate-/l`
8×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `rem-sqrt-square` `sqrt-undiv` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `clear-num` `div-inv`

Counts

4 → 156

Calls

4 calls:

17.0ms	(/ (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (sqrt (fma 0.27061 x 2.30753)))
8.0ms	(/ (sqrt (fma 0.27061 x 2.30753)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
2.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
2.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

series546.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(/ (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (sqrt (fma 0.27061 x 2.30753)))
160.0ms	(/ (sqrt (fma 0.27061 x 2.30753)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
96.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
148.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

simplify2.1s

Counts

168 → 168

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	228	3951
1	447	3573
2	1151	3442
3	2955	3414
done	5001	3412

prune683.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes13.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	23
1	21	23
done	21	23

end0.0ms

sample686.0ms

Algorithm

intervals

Results

462.0ms

8000×

body

valid