Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
1	6
0	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize6.0ms

Local error

Found 1 expressions with local error:

14.1b

(/ x (+ (* x x) 1.0))

rewrite11.0ms

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`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

11.0ms

(/ x (+ (* x x) 1.0))

series82.0ms

Counts

1 → 3

Calls

1 calls:

82.0ms

(/ x (+ (* x x) 1.0))

simplify1.7s

Counts

32 → 32

Iterations

Iter	Nodes
done	5000
2	783
1	183
0	74

prune171.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) x)
0.4b	(/ 1.0 (pow x 5))
0.6b	(/ 1.0 (* (* x x) x))
20.5b	(- (/ 1.0 (pow x 5)) (/ 1.0 (* (* x x) x)))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
27×	`times-frac`
25×	`*-un-lft-identity`
23×	`pow1` `add-exp-log` `add-cube-cbrt`
20×	`add-cbrt-cube`
13×	`unpow-prod-down`
8×	`associate-/r*`
6×	`pow-plus` `div-exp` `prod-exp` `pow-prod-up` `cbrt-unprod` `associate-/l*` `add-log-exp`
5×	`sqr-pow`
4×	`cbrt-undiv` `div-inv` `difference-of-squares`
3×	`associate-r` `pow-prod-down`
2×	`pow2` `clear-num` `frac-2neg` `pow-sqr` `distribute-lft-out--`
1×	`pow-to-exp` `sub-neg` `flip3--` `diff-log` `associate-l` `pow3` `pow-exp` `*-commutative` `frac-sub` `flip--` `unswap-sqr`

Counts

4 → 115

Calls

4 calls:

14.0ms	(* (* x x) x)
13.0ms	(/ 1.0 (pow x 5))
29.0ms	(/ 1.0 (* (* x x) x))
79.0ms	(- (/ 1.0 (pow x 5)) (/ 1.0 (* (* x x) x)))

series451.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (* x x) x)
91.0ms	(/ 1.0 (pow x 5))
70.0ms	(/ 1.0 (* (* x x) x))
230.0ms	(- (/ 1.0 (pow x 5)) (/ 1.0 (* (* x x) x)))

simplify1.7s

Counts

127 → 127

Iterations

Iter	Nodes
done	5002
2	2651
1	424
0	173

prune440.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

14.1b	(/ x (+ (* x x) 1.0))
14.1b	(/ x (+ (* x x) 1.0))
14.1b	(/ x (+ (* x x) 1.0))
40.6b	(cbrt (* (* (/ x (+ (* x x) 1.0)) (/ x (+ (* x x) 1.0))) (/ x (+ (* x x) 1.0))))

rewrite143.0ms

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`
6×	`associate-/r/`
5×	`frac-times` `associate-*l/`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `associate-*r/` `flip-+` `div-inv`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 104

Calls

4 calls:

17.0ms	(/ x (+ (* x x) 1.0))
14.0ms	(/ x (+ (* x x) 1.0))
10.0ms	(/ x (+ (* x x) 1.0))
99.0ms	(cbrt (* (* (/ x (+ (* x x) 1.0)) (/ x (+ (* x x) 1.0))) (/ x (+ (* x x) 1.0))))

series375.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(/ x (+ (* x x) 1.0))
100.0ms	(/ x (+ (* x x) 1.0))
83.0ms	(/ x (+ (* x x) 1.0))
90.0ms	(cbrt (* (* (/ x (+ (* x x) 1.0)) (/ x (+ (* x x) 1.0))) (/ x (+ (* x x) 1.0))))

simplify932.0ms

Counts

116 → 116

Iterations

Iter	Nodes
done	5000
2	1161
1	258
0	109

prune669.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes136.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.3b

bsearch101.0ms

Steps

Iters	Range		Point
11	3.4817375791661903e-26	573579.0075499975	508.8749887332333
8	-945879830.7474126	-409088.2864877689	-267060974.6176845

simplify4.0ms

Iterations

Iter	Nodes
done	28
1	28
0	20

end0.0ms

sample481.0ms

Algorithm

intervals

Results

349.0ms

8000×

body

valid