Details

sample59.0ms

Algorithm

intervals

Results

41.0ms

256×

body

valid

simplify5.3s

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

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) 0.70711)
0.0b	(- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x)
0.0b	(fma x (fma x 0.04481 0.99229) 1.0)
16.3b	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

rewrite92.0ms

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:

64.0ms	(* (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x) 0.70711)
17.0ms	(- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x)
0.0ms	(fma x (fma x 0.04481 0.99229) 1.0)
6.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

series364.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(* (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x) 0.70711)
84.0ms	(- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x)
41.0ms	(fma x (fma x 0.04481 0.99229) 1.0)
126.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

simplify2.9s

Counts

149 → 149

Iterations

Iter	Nodes
done	5008
3	3205
2	1064
1	466
0	217

prune649.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize51.0ms

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))
0.2b	(* (* (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x) (sqrt 0.70711)) (sqrt 0.70711))
16.3b	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

rewrite204.0ms

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)
72.0ms	(* (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x) (sqrt 0.70711))
120.0ms	(* (* (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x) (sqrt 0.70711)) (sqrt 0.70711))
10.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

series533.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(fma x (fma x 0.04481 0.99229) 1.0)
125.0ms	(* (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x) (sqrt 0.70711))
227.0ms	(* (* (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x) (sqrt 0.70711)) (sqrt 0.70711))
135.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

simplify3.7s

Counts

109 → 109

Iterations

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

prune477.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

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 (sqrt 0.70711)))
0.2b	(* (* (* (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x) (sqrt 0.70711)) (sqrt (sqrt 0.70711))) (sqrt (sqrt 0.70711)))
16.3b	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

rewrite345.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
24×	`associate-r`
23×	`*-un-lft-identity`
22×	`add-cbrt-cube` `add-exp-log` `sqrt-prod`
21×	`add-cube-cbrt`
20×	`pow1`
12×	`associate-*l/`
10×	`times-frac` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `flip3--` `-commutative` `flip--` `associate-/l*`
2×	`difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv` `distribute-lft-out--`

Counts

4 → 121

Calls

4 calls:

53.0ms	(* (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x) (sqrt 0.70711))
75.0ms	(* (* (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x) (sqrt 0.70711)) (sqrt (sqrt 0.70711)))
211.0ms	(* (* (* (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x) (sqrt 0.70711)) (sqrt (sqrt 0.70711))) (sqrt (sqrt 0.70711)))
4.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

series604.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(* (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x) (sqrt 0.70711))
225.0ms	(* (* (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x) (sqrt 0.70711)) (sqrt (sqrt 0.70711)))
145.0ms	(* (* (* (- (/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0)) x) (sqrt 0.70711)) (sqrt (sqrt 0.70711))) (sqrt (sqrt 0.70711)))
93.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma x 0.04481 0.99229) 1.0))

simplify1.8s

Counts

133 → 133

Iterations

Iter	Nodes
done	5000
2	2047
1	571
0	233

prune639.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

16.3b	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
16.3b	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
16.3b	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
20.3b	(cbrt (* (* (* (- (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x) 0.70711) (* (- (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x) 0.70711)) (* (- (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x) 0.70711)))

rewrite374.0ms

Algorithm

rewrite-expression-head

Rules

68×	`associate-*l/`
28×	`add-sqr-sqrt` `frac-times` `*-un-lft-identity` `add-cube-cbrt`
27×	`times-frac` `flip3--` `flip--`
26×	`cbrt-div`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/r` `associate-/l`
8×	`associate-*r/`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 129

Calls

4 calls:

4.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
4.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
6.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
357.0ms	(cbrt (* (* (* (- (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x) 0.70711) (* (- (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x) 0.70711)) (* (- (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x) 0.70711)))

series408.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
80.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
86.0ms	(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
156.0ms	(cbrt (* (* (* (- (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x) 0.70711) (* (- (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x) 0.70711)) (* (- (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x) 0.70711)))

simplify2.2s

Counts

141 → 141

Iterations

Iter	Nodes
done	5004
2	1905
1	536
0	210

prune916.0ms

Pruning

3 alts after pruning (0 fresh and 3 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

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	13

end0.0ms

sample1.2s

Algorithm

intervals

Results

1.1s

8000×

body

valid