Details

sample31.0ms

Algorithm

intervals

Results

21.0ms

256×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	9
1	9
0	5

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize11.0ms

Local error

Found 1 expressions with local error:

14.3b

(/ x (fma x x 1))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 30

Calls

1 calls:

4.0ms

(/ x (fma x x 1))

series68.0ms

Counts

1 → 3

Calls

1 calls:

68.0ms

(/ x (fma x x 1))

simplify2.5s

Counts

33 → 33

Iterations

Iter	Nodes
done	5000
5	4389
4	1727
3	814
2	329
1	123
0	63

prune116.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ -1 (* x x)) (/ 1 x) (/ 1 x))
0.1b	(/ 1 (pow x 5))
0.4b	(/ -1 (* x x))
21.5b	(+ (fma (/ -1 (* x x)) (/ 1 x) (/ 1 x)) (/ 1 (pow x 5)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
24×	`times-frac`
23×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`add-exp-log`
12×	`unpow-prod-down`
11×	`add-cbrt-cube`
8×	`associate-/r*` `div-exp`
6×	`associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `sqr-pow`
3×	`pow-to-exp` `cbrt-undiv` `rec-exp` `fma-def` `1-exp` `pow-exp` `div-inv`
2×	`clear-num` `frac-2neg` `fma-udef` `distribute-lft-out`
1×	`+-commutative` `associate-+l+` `sum-log` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 111

Calls

4 calls:

0.0ms	(fma (/ -1 (* x x)) (/ 1 x) (/ 1 x))
6.0ms	(/ 1 (pow x 5))
8.0ms	(/ -1 (* x x))
19.0ms	(+ (fma (/ -1 (* x x)) (/ 1 x) (/ 1 x)) (/ 1 (pow x 5)))

series274.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(fma (/ -1 (* x x)) (/ 1 x) (/ 1 x))
64.0ms	(/ 1 (pow x 5))
32.0ms	(/ -1 (* x x))
64.0ms	(+ (fma (/ -1 (* x x)) (/ 1 x) (/ 1 x)) (/ 1 (pow x 5)))

simplify1.1s

Counts

123 → 123

Iterations

Iter	Nodes
done	5003
2	1248
1	338
0	166

prune442.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

14.3b	(/ x (fma x x 1))
14.3b	(/ x (fma x x 1))
14.3b	(/ x (fma x x 1))
40.8b	(cbrt (* (* (/ x (fma x x 1)) (/ x (fma x x 1))) (/ x (fma x x 1))))

rewrite40.0ms

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	(/ x (fma x x 1))
4.0ms	(/ x (fma x x 1))
7.0ms	(/ x (fma x x 1))
23.0ms	(cbrt (* (* (/ x (fma x x 1)) (/ x (fma x x 1))) (/ x (fma x x 1))))

series338.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ x (fma x x 1))
101.0ms	(/ x (fma x x 1))
98.0ms	(/ x (fma x x 1))
85.0ms	(cbrt (* (* (/ x (fma x x 1)) (/ x (fma x x 1))) (/ x (fma x x 1))))

simplify2.5s

Counts

122 → 122

Iterations

Iter	Nodes
done	5003
4	2733
3	1247
2	523
1	194
0	99

prune595.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes59.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.4b

bsearch105.0ms

Steps

Iters	Range		Point
7	57.56933376468871	1127.9279929291722	471.29821069866506
8	-29345360.474346694	-7508.589471958369	-2101569.4261024096

simplify6.0ms

Iterations

Iter	Nodes
done	25
1	25
0	19

end0.0ms

sample670.0ms

Algorithm

intervals

Results

558.0ms

8000×

body

valid