Details

sample48.0ms

Algorithm

intervals

Results

25.0ms

256×

body

valid

simplify10.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
14	4445
13	1973
12	772
11	488
10	360
9	298
8	250
7	178
6	139
5	129
4	115
3	90
2	60
1	31
0	16

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)
0.0b	(* 0.70711 (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x))
0.1b	(fma (fma 0.04481 x 0.99229) x 1.0)
13.4b	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

135×	`add-sqr-sqrt`
127×	`*-un-lft-identity`
123×	`add-cube-cbrt`
117×	`prod-diff`
101×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
13×	`fma-neg`
11×	`div-inv`
8×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `associate-r` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `difference-of-squares`
3×	`sub-neg` `associate-l` `associate-/r` `associate-/l`
2×	`flip3--` `associate-*r/` `flip--` `distribute-lft-out--`
1×	`cbrt-undiv` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 215

Calls

4 calls:

50.0ms	(- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)
124.0ms	(* 0.70711 (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x))
1.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
12.0ms	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

series413.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)
128.0ms	(* 0.70711 (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x))
51.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
119.0ms	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

simplify6.6s

Counts

227 → 227

Iterations

Iter	Nodes
done	5000
3	3965
2	1368
1	625
0	300

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma 0.04481 x 0.99229) x 1.0)
0.1b	(* (sqrt 0.70711) (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x))
0.2b	(* (sqrt 0.70711) (* (sqrt 0.70711) (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)))
13.4b	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

rewrite802.0ms

Algorithm

rewrite-expression-head

Rules

234×	`prod-diff`
230×	`add-sqr-sqrt`
223×	`*-un-lft-identity`
221×	`add-cube-cbrt`
205×	`distribute-rgt-in` `distribute-lft-in`
172×	`times-frac`
19×	`div-inv`
13×	`add-exp-log` `add-cbrt-cube`
12×	`associate-l`
11×	`pow1`
7×	`associate-r` `sqrt-prod`
6×	`sub-neg` `associate-*r/`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`flip3--` `*-commutative` `flip--` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `fma-udef` `distribute-lft-out--`

Counts

4 → 339

Calls

4 calls:

1.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
316.0ms	(* (sqrt 0.70711) (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x))
203.0ms	(* (sqrt 0.70711) (* (sqrt 0.70711) (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)))
11.0ms	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

series571.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
179.0ms	(* (sqrt 0.70711) (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x))
214.0ms	(* (sqrt 0.70711) (* (sqrt 0.70711) (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)))
130.0ms	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

simplify8.3s

Counts

351 → 351

Iterations

Iter	Nodes
done	5002
2	3237
1	1432
0	497

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize117.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (cbrt (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))) (cbrt (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))))
13.4b	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
13.4b	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
13.4b	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

84×	`add-sqr-sqrt`
69×	`times-frac`
64×	`cbrt-prod`
60×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
12×	`add-exp-log`
11×	`pow1`
10×	`add-cbrt-cube`
9×	`associate-/r` `associate-/l` `unswap-sqr`
7×	`div-inv`
6×	`pow1/3`
4×	`expm1-log1p-u` `cbrt-div` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 167

Calls

4 calls:

53.0ms	(* (cbrt (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))) (cbrt (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))))
11.0ms	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
11.0ms	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
11.0ms	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

series1.4s

Counts

4 → 12

Calls

4 calls:

766.0ms	(* (cbrt (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))) (cbrt (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))))
360.0ms	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
136.0ms	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
104.0ms	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

simplify5.1s

Counts

179 → 179

Iterations

Iter	Nodes
done	5012
3	3046
2	1129
1	467
0	229

prune2.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes136.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	14
1	14
0	13

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.4s

8000×

body

valid