Details

sample63.0ms

Algorithm

intervals

Results

44.0ms

256×

body

valid

simplify4.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
13	2505
12	884
11	567
10	371
9	298
8	263
7	191
6	152
5	136
4	122
3	93
2	60
1	31
0	16

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

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-cbrt-cube` `add-exp-log`
6×	`pow1` `associate-r` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `difference-of-squares`
3×	`associate-/r` `sub-neg` `associate-l` `associate-/l`
2×	`flip3--` `associate-*r/` `flip--` `distribute-lft-out--`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 219

Calls

4 calls:

29.0ms	(- (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)
37.0ms	(* 0.70711 (- (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x))
0.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
4.0ms	(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

series369.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(- (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)
122.0ms	(* 0.70711 (- (/ (fma x 0.27061 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)
112.0ms	(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

simplify2.3s

Counts

231 → 231

Iterations

Iter	Nodes
done	5000
3	4334
2	1406
1	626
0	304

prune651.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `add-cube-cbrt`
19×	`times-frac`
13×	`associate-l`
11×	`add-cbrt-cube` `add-exp-log`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r` `associate-r` `associate-/l`
2×	`distribute-lft-neg-out` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `flip3-+` `distribute-rgt-out` `unsub-neg` `pow-prod-down` `associate-l/` `-commutative` `flip-+` `fma-udef`

Counts

4 → 94

Calls

4 calls:

10.0ms	(+ (* (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) 0.70711) (* (- x) 0.70711))
0.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
9.0ms	(* (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) 0.70711)
4.0ms	(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

series314.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(+ (* (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) 0.70711) (* (- x) 0.70711))
38.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
108.0ms	(* (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) 0.70711)
70.0ms	(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

simplify1.6s

Counts

106 → 106

Iterations

Iter	Nodes
done	5001
2	1530
1	424
0	174

prune463.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

14.1b	(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
14.1b	(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
14.1b	(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
14.4b	(/ (- (* (* (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) 0.70711) (* (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) 0.70711)) (* (* (- x) 0.70711) (* (- x) 0.70711))) (- (* (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) 0.70711) (* (- x) 0.70711)))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

43×	`times-frac`
38×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`associate-/r` `associate-/l`
12×	`add-cbrt-cube` `add-exp-log`
5×	`distribute-rgt-out--` `difference-of-squares`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`div-sub`

Counts

4 → 134

Calls

4 calls:

4.0ms	(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
4.0ms	(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
4.0ms	(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
125.0ms	(/ (- (* (* (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) 0.70711) (* (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) 0.70711)) (* (* (- x) 0.70711) (* (- x) 0.70711))) (- (* (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) 0.70711) (* (- x) 0.70711)))

series491.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
93.0ms	(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
94.0ms	(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
202.0ms	(/ (- (* (* (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) 0.70711) (* (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) 0.70711)) (* (* (- x) 0.70711) (* (- x) 0.70711))) (- (* (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) 0.70711) (* (- x) 0.70711)))

simplify2.1s

Counts

146 → 146

Iterations

Iter	Nodes
done	5000
2	1826
1	445
0	182

prune834.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

14.1b	(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
14.1b	(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
14.4b	(/ (- (* (* (cbrt (* (* (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))) (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)))) 0.70711) (* (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) 0.70711)) (* (* (- x) 0.70711) (* (- x) 0.70711))) (- (* (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) 0.70711) (* (- x) 0.70711)))
18.2b	(cbrt (* (* (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))) (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

30×	`times-frac`
29×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
10×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
9×	`associate-/l*`
7×	`cbrt-div`
5×	`frac-times` `associate-*l/`
4×	`expm1-log1p-u` `pow1` `distribute-rgt-out--` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `associate-*r/` `div-inv`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-prod` `pow1/3` `div-sub` `pow3` `rem-cbrt-cube`

Counts

4 → 119

Calls

4 calls:

4.0ms	(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
4.0ms	(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
158.0ms	(/ (- (* (* (cbrt (* (* (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))) (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)))) 0.70711) (* (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) 0.70711)) (* (* (- x) 0.70711) (* (- x) 0.70711))) (- (* (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) 0.70711) (* (- x) 0.70711)))
23.0ms	(cbrt (* (* (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))) (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))))

series560.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
110.0ms	(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
263.0ms	(/ (- (* (* (cbrt (* (* (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))) (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)))) 0.70711) (* (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) 0.70711)) (* (* (- x) 0.70711) (* (- x) 0.70711))) (- (* (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) 0.70711) (* (- x) 0.70711)))
98.0ms	(cbrt (* (* (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))) (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))))

simplify1.8s

Counts

131 → 131

Iterations

Iter	Nodes
done	5001
2	1796
1	469
0	205

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes36.0ms

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	25
3	25
2	24
1	20
0	15

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.4s

8000×

body

valid