Details

sample28.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	14	326
1	22	326
2	39	251
3	68	251
4	106	251
5	120	251
6	142	251
7	170	251
8	221	251
9	475	251
10	1555	251
done	5001	251

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
13.9b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

11.0ms	(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
9.0ms	(+ 2.30753 (* x 0.27061))
31.0ms	(* (+ 0.99229 (* x 0.04481)) x)
37.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series269.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
62.0ms	(+ 2.30753 (* x 0.27061))
102.0ms	(* (+ 0.99229 (* x 0.04481)) x)
76.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify1.6s

Counts

99 → 99

Iterations

Useful iterations: 2 (427.0ms)

Iter	Nodes	Cost
0	159	29893
1	412	24724
2	1948	21322
done	5000	21322

prune476.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.30753 (* x 0.27061))
0.0b	(fma 0.99229 x (fma 0.04481 (* x x) 1.0))
0.1b	(fma 0.04481 (* x x) 1.0)
13.9b	(/ (+ 2.30753 (* x 0.27061)) (fma 0.99229 x (fma 0.04481 (* x x) 1.0)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

14.0ms	(+ 2.30753 (* x 0.27061))
0.0ms	(fma 0.99229 x (fma 0.04481 (* x x) 1.0))
0.0ms	(fma 0.04481 (* x x) 1.0)
26.0ms	(/ (+ 2.30753 (* x 0.27061)) (fma 0.99229 x (fma 0.04481 (* x x) 1.0)))

series238.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ 2.30753 (* x 0.27061))
25.0ms	(fma 0.99229 x (fma 0.04481 (* x x) 1.0))
69.0ms	(fma 0.04481 (* x x) 1.0)
92.0ms	(/ (+ 2.30753 (* x 0.27061)) (fma 0.99229 x (fma 0.04481 (* x x) 1.0)))

simplify1.1s

Counts

79 → 79

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	118	23687
1	270	19597
2	1123	19300
done	5001	18565

prune363.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.2b	(* (* x 0.27061) (- (* x 0.27061) 2.30753))
0.3b	(pow (* x 0.27061) 3)
23.2b	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (* (fma 2.30753 2.30753 (* (* x 0.27061) (- (* x 0.27061) 2.30753))) (fma x (fma 0.04481 x 0.99229) 1.0)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-cbrt-cube` `add-exp-log`
14×	`*-un-lft-identity`
12×	`pow1`
10×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `prod-exp` `cbrt-unprod` `associate-/l*`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-r`
2×	`cbrt-undiv` `sub-neg` `pow-pow` `div-exp` `pow-exp` `associate-*r/` `sum-cubes` `distribute-lft-out` `rem-cube-cbrt` `associate-/l/`
1×	`cube-mult` `pow-to-exp` `clear-num` `associate-/r` `unpow-prod-down` `frac-2neg` `flip3-+` `flip3--` `unpow3` `cube-prod` `associate-l` `-commutative` `flip-+` `fma-udef` `div-inv` `flip--` `sqr-pow`

Counts

4 → 95

Calls

4 calls:

0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
28.0ms	(* (* x 0.27061) (- (* x 0.27061) 2.30753))
5.0ms	(pow (* x 0.27061) 3)
48.0ms	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (* (fma 2.30753 2.30753 (* (* x 0.27061) (- (* x 0.27061) 2.30753))) (fma x (fma 0.04481 x 0.99229) 1.0)))

series343.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
102.0ms	(* (* x 0.27061) (- (* x 0.27061) 2.30753))
51.0ms	(pow (* x 0.27061) 3)
162.0ms	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (* (fma 2.30753 2.30753 (* (* x 0.27061) (- (* x 0.27061) 2.30753))) (fma x (fma 0.04481 x 0.99229) 1.0)))

simplify3.3s

Counts

107 → 107

Iterations

Useful iterations: 2 (1.3s)

Iter	Nodes	Cost
0	206	47447
1	562	33264
2	3842	31351
done	5000	31351

prune657.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	326
1	20	326
done	20	326

end0.0ms

sample782.0ms

Algorithm

intervals

Results

631.0ms

8000×

body

valid