Details

sample35.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify6.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	14	17
1	22	17
2	39	14
3	66	14
4	92	14
5	102	14
6	124	14
7	152	14
8	203	14
9	264	14
10	299	14
11	381	14
12	394	14
13	413	14
14	451	14
15	578	14
16	714	14
17	951	14
18	1233	14
19	1379	14
20	1436	14
21	1466	14
22	1491	14
23	1532	14
24	1542	14
done	1542	14

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

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-*l/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

6.0ms	(+ 0.99229 (* x 0.04481))
6.0ms	(+ 2.30753 (* x 0.27061))
18.0ms	(* (+ 0.99229 (* x 0.04481)) x)
26.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series248.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ 0.99229 (* x 0.04481))
43.0ms	(+ 2.30753 (* x 0.27061))
67.0ms	(* (+ 0.99229 (* x 0.04481)) x)
87.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify3.5s

Counts

99 → 99

Iterations

Useful iterations: 3 (2.1s)

Iter	Nodes	Cost
0	161	1371
1	399	1170
2	1317	1034
3	4353	1033
done	5000	1033

prune389.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize24.0ms

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 (* (fma (* (cbrt 0.99229) (cbrt 0.99229)) (cbrt 0.99229) (* x 0.04481)) x)))

rewrite47.0ms

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)
1.0ms	(cbrt 0.99229)
1.0ms	(cbrt 0.99229)
42.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (fma (* (cbrt 0.99229) (cbrt 0.99229)) (cbrt 0.99229) (* x 0.04481)) x)))

series103.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(cbrt 0.99229)
0.0ms	(cbrt 0.99229)
0.0ms	(cbrt 0.99229)
102.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (fma (* (cbrt 0.99229) (cbrt 0.99229)) (cbrt 0.99229) (* x 0.04481)) x)))

simplify2.0s

Counts

78 → 78

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	112	1299
1	263	1279
2	804	959
3	2735	773
done	5002	770

prune372.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

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)))

rewrite81.0ms

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:

9.0ms	(sqrt (+ 2.30753 (* x 0.27061)))
1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
44.0ms	(/ (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)))

series533.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(sqrt (+ 2.30753 (* x 0.27061)))
38.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
273.0ms	(/ (sqrt (+ 2.30753 (* x 0.27061))) (/ (fma x (fma 0.04481 x 0.99229) 1.0) (sqrt (fma 0.27061 x 2.30753))))
172.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (sqrt (fma 0.27061 x 2.30753)))

simplify1.9s

Counts

259 → 259

Iterations

Useful iterations: done (1.9s)

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

prune851.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

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))

rewrite48.0ms

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:

15.0ms	(/ (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (sqrt (fma 0.27061 x 2.30753)))
16.0ms	(/ (sqrt (fma 0.27061 x 2.30753)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
3.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
3.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

series440.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(/ (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (sqrt (fma 0.27061 x 2.30753)))
114.0ms	(/ (sqrt (fma 0.27061 x 2.30753)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
108.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
111.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

simplify2.0s

Counts

168 → 168

Iterations

Useful iterations: done (1.9s)

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

prune720.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

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

sample577.0ms

Algorithm

intervals

Results

379.0ms

8000×

body

valid