Details

sample43.0ms

Algorithm

intervals

Results

25.0ms

256×

body

valid

simplify4.2s

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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)
0.0b	(fma x (fma x 0.04481 0.99229) 1.0)
14.1b	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

rewrite89.0ms

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:

12.0ms	(- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x)
66.0ms	(* (- (/ (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)
9.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

series317.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(- (/ (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)
33.0ms	(fma x (fma x 0.04481 0.99229) 1.0)
83.0ms	(/ (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

prune682.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize67.0ms

Local error

Found 4 expressions with local error:

14.1b	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))
14.1b	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))
14.1b	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))
18.2b	(cbrt (* (* (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))) (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
27×	`times-frac`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/r` `associate-/l`
7×	`cbrt-div`
5×	`frac-times` `associate-*l/`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `associate-*r/` `div-inv`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 110

Calls

4 calls:

4.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))
4.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))
4.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))
37.0ms	(cbrt (* (* (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))) (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))))

series361.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))
112.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))
81.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))
100.0ms	(cbrt (* (* (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))) (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))))

simplify1.8s

Counts

122 → 122

Iterations

Iter	Nodes
done	5000
3	1351
2	451
1	190
0	109

prune789.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x (fma x 0.04481 0.99229) 1.0)
0.1b	(* (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x) (sqrt 0.70711))
0.1b	(* (* (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x) (sqrt 0.70711)) (sqrt 0.70711))
14.1b	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
17×	`add-cube-cbrt`
13×	`add-cbrt-cube` `add-exp-log`
12×	`associate-r`
11×	`pow1`
10×	`times-frac`
7×	`associate-l` `sqrt-prod`
6×	`associate-*l/`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`flip3--` `*-commutative` `flip--` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `fma-udef` `div-inv` `distribute-lft-out--`

Counts

4 → 97

Calls

4 calls:

0.0ms	(fma x (fma x 0.04481 0.99229) 1.0)
59.0ms	(* (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x) (sqrt 0.70711))
88.0ms	(* (* (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x) (sqrt 0.70711)) (sqrt 0.70711))
8.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

series380.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(fma x (fma x 0.04481 0.99229) 1.0)
112.0ms	(* (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x) (sqrt 0.70711))
155.0ms	(* (* (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x) (sqrt 0.70711)) (sqrt 0.70711))
81.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

simplify2.6s

Counts

109 → 109

Iterations

Iter	Nodes
done	5000
3	4766
2	1317
1	428
0	189

prune426.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

14.1b	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))
14.1b	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))
14.1b	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))
14.3b	(/ (* (- (* (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))) (* x x)) 0.70711) (+ (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
31×	`times-frac`
30×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`add-cbrt-cube` `add-exp-log`
13×	`associate-/r*`
10×	`associate-/l*`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`associate-*l/` `associate-/r/` `distribute-lft-out` `associate-/l/`
1×	`flip3-+` `flip3--` `prod-exp` `cbrt-unprod` `flip-+` `flip--`

Counts

4 → 120

Calls

4 calls:

4.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))
11.0ms	(/ (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))
43.0ms	(/ (* (- (* (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))) (* x x)) 0.70711) (+ (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x))

series472.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))
92.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))
92.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))
194.0ms	(/ (* (- (* (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))) (* x x)) 0.70711) (+ (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x))

simplify1.8s

Counts

132 → 132

Iterations

Iter	Nodes
done	5000
2	1363
1	390
0	157

prune713.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	18
1	18
0	16

end0.0ms

sample1.1s

Algorithm

intervals

Results

1.0s

8000×

body

valid