Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	8
1	50	8
2	69	8
3	75	8
4	75	8
done	75	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.30753 (* x 0.27061))
0.0b	(+ 0.99229 (* x 0.04481))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
14.4b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1` `fma-def`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`+-commutative` `associate-*r/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

5.0ms	(+ 2.30753 (* x 0.27061))
7.0ms	(+ 0.99229 (* x 0.04481))
16.0ms	(* x (+ 0.99229 (* x 0.04481)))
23.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series186.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ 2.30753 (* x 0.27061))
33.0ms	(+ 0.99229 (* x 0.04481))
64.0ms	(* x (+ 0.99229 (* x 0.04481)))
55.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify53.0ms

Counts

101 → 101

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	421	651
1	1810	561
2	5001	544
done	5001	544

prune243.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (+ 0.99229 (* x 0.04481)))
0.7b	(cbrt (+ 0.99229 (* x 0.04481)))
0.7b	(cbrt (+ 0.99229 (* x 0.04481)))
14.4b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (* x (* (cbrt (+ 0.99229 (* x 0.04481))) (cbrt (+ 0.99229 (* x 0.04481))))) (cbrt (+ 0.99229 (* x 0.04481))))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod` `times-frac`
6×	`add-exp-log` `cbrt-div` `add-cbrt-cube`
5×	`flip3-+` `flip-+`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-/r` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 78

Calls

4 calls:

3.0ms	(cbrt (+ 0.99229 (* x 0.04481)))
3.0ms	(cbrt (+ 0.99229 (* x 0.04481)))
3.0ms	(cbrt (+ 0.99229 (* x 0.04481)))
25.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (* x (* (cbrt (+ 0.99229 (* x 0.04481))) (cbrt (+ 0.99229 (* x 0.04481))))) (cbrt (+ 0.99229 (* x 0.04481))))))

series407.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(cbrt (+ 0.99229 (* x 0.04481)))
114.0ms	(cbrt (+ 0.99229 (* x 0.04481)))
116.0ms	(cbrt (+ 0.99229 (* x 0.04481)))
58.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (* x (* (cbrt (+ 0.99229 (* x 0.04481))) (cbrt (+ 0.99229 (* x 0.04481))))) (cbrt (+ 0.99229 (* x 0.04481))))))

simplify53.0ms

Counts

90 → 90

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	466	1413
1	1717	1285
2	5002	1152
done	5002	1152

prune337.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* x 0.27061) (- (* x 0.27061) 2.30753) (* 2.30753 2.30753))
0.1b	(fma (* x 0.27061) (- (* x 0.27061) 2.30753) (* 2.30753 2.30753))
0.3b	(pow (* x 0.27061) 3)
24.2b	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (fma (fma (* x 0.27061) (- (* x 0.27061) 2.30753) (* 2.30753 2.30753)) (* (fma 0.04481 x 0.99229) x) (* (fma (* x 0.27061) (- (* x 0.27061) 2.30753) (* 2.30753 2.30753)) 1.0)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
15×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
9×	`add-exp-log` `add-cbrt-cube`
7×	`pow1`
5×	`associate-/l*`
4×	`expm1-log1p-u` `sum-cubes` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`pow-unpow` `associate-/r*`
2×	`pow-pow` `pow-exp` `fma-udef` `associate-/l/` `rem-cube-cbrt`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `unpow-prod-down` `frac-2neg` `flip3-+` `unpow3` `cube-prod` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `cbrt-unprod` `flip-+` `div-inv` `sqr-pow`

Counts

4 → 83

Calls

4 calls:

0.0ms	(fma (* x 0.27061) (- (* x 0.27061) 2.30753) (* 2.30753 2.30753))
0.0ms	(fma (* x 0.27061) (- (* x 0.27061) 2.30753) (* 2.30753 2.30753))
6.0ms	(pow (* x 0.27061) 3)
53.0ms	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (fma (fma (* x 0.27061) (- (* x 0.27061) 2.30753) (* 2.30753 2.30753)) (* (fma 0.04481 x 0.99229) x) (* (fma (* x 0.27061) (- (* x 0.27061) 2.30753) (* 2.30753 2.30753)) 1.0)))

series242.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(fma (* x 0.27061) (- (* x 0.27061) 2.30753) (* 2.30753 2.30753))
32.0ms	(fma (* x 0.27061) (- (* x 0.27061) 2.30753) (* 2.30753 2.30753))
41.0ms	(pow (* x 0.27061) 3)
136.0ms	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (fma (fma (* x 0.27061) (- (* x 0.27061) 2.30753) (* 2.30753 2.30753)) (* (fma 0.04481 x 0.99229) x) (* (fma (* x 0.27061) (- (* x 0.27061) 2.30753) (* 2.30753 2.30753)) 1.0)))

simplify57.0ms

Counts

95 → 95

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	323	1446
1	1354	1288
2	5001	1264
done	5001	1264

prune329.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	17
1	24	17
done	24	17

end0.0ms

sample341.0ms

Algorithm

intervals

Results

229.0ms

8000×

body

valid