Details

sample53.0ms

Algorithm

intervals

Results

34.0ms

256×

body

valid

simplify4.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
14	4459
13	1983
12	774
11	490
10	362
9	301
8	255
7	182
6	143
5	133
4	119
3	91
2	60
1	31
0	16

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x)
0.0b	(* (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x) 0.70711)
0.1b	(fma x (fma x 0.04481 0.99229) 1.0)
14.4b	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-sqr-sqrt`
59×	`*-un-lft-identity`
55×	`add-cube-cbrt`
47×	`times-frac`
39×	`prod-diff`
13×	`fma-neg`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow1` `associate-l` `add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `difference-of-squares`
3×	`associate-/r` `associate-r` `associate-/l`
2×	`flip3--` `associate-*l/` `flip--` `distribute-lft-out--`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 137

Calls

4 calls:

29.0ms	(- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x)
78.0ms	(* (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x) 0.70711)
0.0ms	(fma x (fma x 0.04481 0.99229) 1.0)
12.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

series349.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x)
100.0ms	(* (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x) 0.70711)
38.0ms	(fma x (fma x 0.04481 0.99229) 1.0)
111.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

simplify2.5s

Counts

149 → 149

Iterations

Iter	Nodes
done	5004
3	3202
2	1072
1	466
0	217

prune598.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (fma 0.27061 x 2.30753) (fma (* x x) 0.04481 (fma x 0.99229 1.0))) x)
0.0b	(* (- (/ (fma 0.27061 x 2.30753) (fma (* x x) 0.04481 (fma x 0.99229 1.0))) x) 0.70711)
0.1b	(fma (* x x) 0.04481 (fma x 0.99229 1.0))
14.4b	(/ (fma 0.27061 x 2.30753) (fma (* x x) 0.04481 (fma x 0.99229 1.0)))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-sqr-sqrt`
59×	`*-un-lft-identity`
55×	`add-cube-cbrt`
47×	`times-frac`
39×	`prod-diff`
13×	`fma-neg`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow1` `associate-l` `add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `difference-of-squares`
3×	`associate-/r` `associate-r` `associate-/l`
2×	`flip3--` `associate-*l/` `flip--` `distribute-lft-out--`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 137

Calls

4 calls:

33.0ms	(- (/ (fma 0.27061 x 2.30753) (fma (* x x) 0.04481 (fma x 0.99229 1.0))) x)
87.0ms	(* (- (/ (fma 0.27061 x 2.30753) (fma (* x x) 0.04481 (fma x 0.99229 1.0))) x) 0.70711)
0.0ms	(fma (* x x) 0.04481 (fma x 0.99229 1.0))
10.0ms	(/ (fma 0.27061 x 2.30753) (fma (* x x) 0.04481 (fma x 0.99229 1.0)))

series293.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(- (/ (fma 0.27061 x 2.30753) (fma (* x x) 0.04481 (fma x 0.99229 1.0))) x)
80.0ms	(* (- (/ (fma 0.27061 x 2.30753) (fma (* x x) 0.04481 (fma x 0.99229 1.0))) x) 0.70711)
28.0ms	(fma (* x x) 0.04481 (fma x 0.99229 1.0))
100.0ms	(/ (fma 0.27061 x 2.30753) (fma (* x x) 0.04481 (fma x 0.99229 1.0)))

simplify2.6s

Counts

149 → 149

Iterations

Iter	Nodes
done	5001
3	3177
2	1065
1	466
0	217

prune683.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (* (cbrt (fma (* x x) 0.04481 (fma x 0.99229 1.0))) (cbrt (fma (* x x) 0.04481 (fma x 0.99229 1.0)))))
14.7b	(cbrt (fma (* x x) 0.04481 (fma x 0.99229 1.0)))
14.7b	(cbrt (fma (* x x) 0.04481 (fma x 0.99229 1.0)))
14.7b	(cbrt (fma (* x x) 0.04481 (fma x 0.99229 1.0)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log`
12×	`pow1`
9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `pow1/3` `add-cube-cbrt` `pow-flip`
7×	`add-cbrt-cube`
4×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `prod-exp` `associate-/l*`
2×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `clear-num` `associate-/r*` `frac-2neg` `pow-plus` `cbrt-unprod` `div-inv` `inv-pow`

Counts

4 → 80

Calls

4 calls:

29.0ms	(/ 1 (* (cbrt (fma (* x x) 0.04481 (fma x 0.99229 1.0))) (cbrt (fma (* x x) 0.04481 (fma x 0.99229 1.0)))))
1.0ms	(cbrt (fma (* x x) 0.04481 (fma x 0.99229 1.0)))
2.0ms	(cbrt (fma (* x x) 0.04481 (fma x 0.99229 1.0)))
2.0ms	(cbrt (fma (* x x) 0.04481 (fma x 0.99229 1.0)))

series899.0ms

Counts

4 → 12

Calls

4 calls:

280.0ms	(/ 1 (* (cbrt (fma (* x x) 0.04481 (fma x 0.99229 1.0))) (cbrt (fma (* x x) 0.04481 (fma x 0.99229 1.0)))))
239.0ms	(cbrt (fma (* x x) 0.04481 (fma x 0.99229 1.0)))
173.0ms	(cbrt (fma (* x x) 0.04481 (fma x 0.99229 1.0)))
207.0ms	(cbrt (fma (* x x) 0.04481 (fma x 0.99229 1.0)))

simplify2.5s

Counts

92 → 92

Iterations

Iter	Nodes
done	5020
3	3237
2	1044
1	417
0	171

prune675.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x)) 0.70711)
0.5b	(* (sqrt (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x)) (* (sqrt (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x)) 0.70711))
14.4b	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))
14.4b	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
25×	`add-cube-cbrt`
20×	`times-frac`
18×	`associate-l`
15×	`add-cbrt-cube` `add-exp-log`
14×	`sqrt-div`
13×	`sqrt-prod`
11×	`pow1`
10×	`associate-*l/`
7×	`flip3--` `flip--`
6×	`associate-/r` `associate-/l`
4×	`expm1-log1p-u` `frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `associate-r/` `-commutative` `div-inv` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 125

Calls

4 calls:

71.0ms	(* (sqrt (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x)) 0.70711)
147.0ms	(* (sqrt (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x)) (* (sqrt (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x)) 0.70711))
5.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))
5.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

series480.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (sqrt (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x)) 0.70711)
133.0ms	(* (sqrt (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x)) (* (sqrt (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x)) 0.70711))
102.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))
121.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

simplify2.4s

Counts

137 → 137

Iterations

Iter	Nodes
done	5003
3	4048
2	1254
1	470
0	206

prune706.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	22
1	22
0	19

end0.0ms

sample974.0ms

Algorithm

intervals

Results

873.0ms

8000×

body

valid