Details

sample34.0ms

Algorithm

intervals

Results

17.0ms

450×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	11	15
1	23	14
2	59	14
3	109	14
4	202	14
5	363	14
6	824	14
7	1874	13
done	5000	12

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x z) y)
0.1b	(fma (/ (+ x z) y) (- x z) y)
0.4b	(/ (fma (/ (+ x z) y) (- x z) y) 2.0)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
21×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
6×	`associate-/r*`
4×	`distribute-lft-out`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate-/l/`
1×	`flip3-+` `flip-+` `fma-udef`

Counts

3 → 74

Calls

3 calls:

22.0ms	(/ (+ x z) y)
0.0ms	(fma (/ (+ x z) y) (- x z) y)
5.0ms	(/ (fma (/ (+ x z) y) (- x z) y) 2.0)

series153.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(/ (+ x z) y)
59.0ms	(fma (/ (+ x z) y) (- x z) y)
73.0ms	(/ (fma (/ (+ x z) y) (- x z) y) 2.0)

simplify2.4s

Counts

83 → 83

Iterations

Useful iterations: 4 (1.4s)

Iter	Nodes	Cost
0	130	1164
1	256	1135
2	651	1041
3	1619	1041
4	4756	1035
done	5000	1035

prune217.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ x z))
0.1b	(fma (/ 1 (/ y (+ x z))) (- x z) y)
0.4b	(/ (fma (/ 1 (/ y (+ x z))) (- x z) y) 2.0)
0.5b	(/ 1 (/ y (+ x z)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

123×	`times-frac`
104×	`*-un-lft-identity`
72×	`add-sqr-sqrt` `add-cube-cbrt`
25×	`associate-/r*`
19×	`add-exp-log`
16×	`distribute-lft-out`
13×	`add-cbrt-cube`
11×	`associate-/r/`
9×	`div-exp` `associate-/l*`
7×	`div-inv`
5×	`pow1` `cbrt-undiv` `flip3-+` `flip-+`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `1-exp`
1×	`pow-flip` `fma-udef` `inv-pow`

Counts

4 → 172

Calls

4 calls:

12.0ms	(/ y (+ x z))
0.0ms	(fma (/ 1 (/ y (+ x z))) (- x z) y)
5.0ms	(/ (fma (/ 1 (/ y (+ x z))) (- x z) y) 2.0)
18.0ms	(/ 1 (/ y (+ x z)))

series178.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ y (+ x z))
54.0ms	(fma (/ 1 (/ y (+ x z))) (- x z) y)
66.0ms	(/ (fma (/ 1 (/ y (+ x z))) (- x z) y) 2.0)
30.0ms	(/ 1 (/ y (+ x z)))

simplify1.8s

Counts

184 → 184

Iterations

Useful iterations: 3 (916.0ms)

Iter	Nodes	Cost
0	246	2740
1	503	2427
2	1114	2058
3	3109	2008
done	5001	2008

prune399.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ 1 (* y (/ 1 (+ x z)))) (- x z) y)
0.3b	(* y (/ 1 (+ x z)))
0.4b	(/ (fma (/ 1 (* y (/ 1 (+ x z)))) (- x z) y) 2.0)
0.5b	(/ 1 (* y (/ 1 (+ x z))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-exp-log`
30×	`add-sqr-sqrt` `*-un-lft-identity`
26×	`times-frac`
23×	`add-cube-cbrt`
20×	`add-cbrt-cube`
19×	`div-exp`
18×	`associate-r`
16×	`prod-exp`
9×	`pow1` `rec-exp` `1-exp`
6×	`cbrt-undiv` `associate-/l*`
4×	`expm1-log1p-u` `associate-/r*` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `div-inv` `distribute-lft-out` `unswap-sqr`
2×	`pow-flip` `frac-2neg` `associate-*r/` `pow-prod-down` `clear-num` `un-div-inv`
1×	`flip3-+` `*-commutative` `flip-+` `fma-udef` `inv-pow`

Counts

4 → 124

Calls

4 calls:

0.0ms	(fma (/ 1 (* y (/ 1 (+ x z)))) (- x z) y)
31.0ms	(* y (/ 1 (+ x z)))
5.0ms	(/ (fma (/ 1 (* y (/ 1 (+ x z)))) (- x z) y) 2.0)
32.0ms	(/ 1 (* y (/ 1 (+ x z))))

series186.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(fma (/ 1 (* y (/ 1 (+ x z)))) (- x z) y)
28.0ms	(* y (/ 1 (+ x z)))
70.0ms	(/ (fma (/ 1 (* y (/ 1 (+ x z)))) (- x z) y) 2.0)
31.0ms	(/ 1 (* y (/ 1 (+ x z))))

simplify2.2s

Counts

136 → 136

Iterations

Useful iterations: 3 (936.0ms)

Iter	Nodes	Cost
0	197	1963
1	430	1576
2	1002	1248
3	2688	1230
done	5001	1230

prune312.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma (* (+ x z) (/ 1 y)) (- x z) y)
0.3b	(* (+ x z) (/ 1 y))
0.4b	(/ (fma (* (+ x z) (/ 1 y)) (- x z) y) 2.0)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
20×	`times-frac`
19×	`add-cube-cbrt`
14×	`add-exp-log`
13×	`associate-r`
10×	`add-cbrt-cube`
5×	`pow1`
4×	`associate-l` `prod-exp`
3×	`expm1-log1p-u` `div-exp` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `flip3-+` `associate-*l/` `cbrt-unprod` `flip-+` `div-inv`
1×	`rec-exp` `frac-2neg` `1-exp` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `fma-udef` `distribute-lft-out`

Counts

3 → 82

Calls

3 calls:

0.0ms	(fma (* (+ x z) (/ 1 y)) (- x z) y)
30.0ms	(* (+ x z) (/ 1 y))
6.0ms	(/ (fma (* (+ x z) (/ 1 y)) (- x z) y) 2.0)

series166.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(fma (* (+ x z) (/ 1 y)) (- x z) y)
23.0ms	(* (+ x z) (/ 1 y))
81.0ms	(/ (fma (* (+ x z) (/ 1 y)) (- x z) y) 2.0)

simplify2.0s

Counts

91 → 91

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	162	1399
1	362	1170
2	1024	1028
3	3395	1022
done	5001	1022

prune232.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.3b

regimes180.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	14	14
done	14	14

end0.0ms

sample859.0ms

Algorithm

intervals

Results

456.0ms

13655×

body

valid