Details

sample41.0ms

Algorithm

intervals

Results

22.0ms

256×

body

valid

simplify4.2s

Counts

1 → 1

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	16	19
1	31	19
2	60	16
3	95	16
4	126	16
5	140	16
6	156	16
7	201	16
8	297	16
9	359	16
10	442	16
11	643	16
12	998	16
13	4559	16
done	5000	16

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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	(* (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x) 0.70711)
0.1b	(fma (fma 0.04481 x 0.99229) x 1.0)
13.0b	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

rewrite104.0ms

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

Counts

4 → 133

Calls

4 calls:

24.0ms	(- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)
66.0ms	(* (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x) 0.70711)
0.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
6.0ms	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

series254.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)
72.0ms	(* (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x) 0.70711)
30.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
66.0ms	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

simplify1.2s

Counts

145 → 145

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	213	3586
1	464	3175
2	1607	2836
done	5001	2633

prune539.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (fma (fma 0.27061 x 2.30753) (/ 1 (fma (fma 0.04481 x 0.99229) x 1.0)) (- x)) 0.70711)
0.1b	(fma (fma 0.04481 x 0.99229) x 1.0)
0.4b	(/ 1 (fma (fma 0.04481 x 0.99229) x 1.0))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log` `times-frac`
7×	`add-cbrt-cube`
6×	`pow1`
3×	`expm1-log1p-u` `associate-r` `associate-l` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`div-exp`
1×	`cbrt-undiv` `rec-exp` `pow-flip` `frac-2neg` `1-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv` `inv-pow` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

22.0ms	(* (fma (fma 0.27061 x 2.30753) (/ 1 (fma (fma 0.04481 x 0.99229) x 1.0)) (- x)) 0.70711)
1.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
11.0ms	(/ 1 (fma (fma 0.04481 x 0.99229) x 1.0))

series201.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(* (fma (fma 0.27061 x 2.30753) (/ 1 (fma (fma 0.04481 x 0.99229) x 1.0)) (- x)) 0.70711)
35.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
61.0ms	(/ 1 (fma (fma 0.04481 x 0.99229) x 1.0))

simplify713.0ms

Counts

72 → 72

Iterations

Useful iterations: done (710.0ms)

Iter	Nodes	Cost
0	133	1188
1	264	1124
2	871	988
done	5000	941

prune269.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize72.0ms

Local error

Found 4 expressions with local error:

13.0b	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
13.0b	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
13.0b	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
19.1b	(/ (* (- (pow (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) 3) (pow x 3)) 0.70711) (+ (* (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))) (+ (* x x) (* (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x))))

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 120

Calls

4 calls:

5.0ms	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
6.0ms	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
7.0ms	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
253.0ms	(/ (* (- (pow (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) 3) (pow x 3)) 0.70711) (+ (* (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))) (+ (* x x) (* (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x))))

series606.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
99.0ms	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
98.0ms	(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))
321.0ms	(/ (* (- (pow (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) 3) (pow x 3)) 0.70711) (+ (* (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))) (+ (* x x) (* (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x))))

simplify2.2s

Counts

132 → 132

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	196	5049
1	569	4696
2	3115	4175
done	5000	4171

prune720.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (- (* x 1.3436228731669864) 2.134856267379707)) 1.6316775383)
0.0b	(- (* x 1.3436228731669864) 2.134856267379707)
0.1b	(* x (- (* x 1.3436228731669864) 2.134856267379707))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

15×	`prod-diff`
12×	`add-sqr-sqrt`
10×	`distribute-rgt-in` `add-cube-cbrt` `associate-+l+` `*-un-lft-identity` `distribute-lft-in`
7×	`add-log-exp`
5×	`pow1` `add-exp-log` `sub-neg` `add-cbrt-cube`
3×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u`
2×	`flip3--` `associate-*r/` `flip--`
1×	`+-commutative` `fma-def` `flip3-+` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 74

Calls

3 calls:

26.0ms	(+ (* x (- (* x 1.3436228731669864) 2.134856267379707)) 1.6316775383)
14.0ms	(- (* x 1.3436228731669864) 2.134856267379707)
54.0ms	(* x (- (* x 1.3436228731669864) 2.134856267379707))

series197.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ (* x (- (* x 1.3436228731669864) 2.134856267379707)) 1.6316775383)
58.0ms	(- (* x 1.3436228731669864) 2.134856267379707)
98.0ms	(* x (- (* x 1.3436228731669864) 2.134856267379707))

simplify1.1s

Counts

83 → 83

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	127	996
1	343	834
2	1571	747
done	5000	746

prune234.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	18
1	18	18
done	18	18

end0.0ms

sample1.1s

Algorithm

intervals

Results

881.0ms

8000×

body

valid