Details

sample37.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify70.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	14	17
1	28	17
2	50	14
3	66	14
4	72	14
done	72	14

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 0.99229 (* x 0.04481))
0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
13.2b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite62.0ms

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:

6.0ms	(+ 0.99229 (* x 0.04481))
6.0ms	(+ 2.30753 (* x 0.27061))
16.0ms	(* x (+ 0.99229 (* x 0.04481)))
32.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series298.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(+ 0.99229 (* x 0.04481))
40.0ms	(+ 2.30753 (* x 0.27061))
119.0ms	(* x (+ 0.99229 (* x 0.04481)))
85.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.7s

Counts

101 → 101

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	163	1387
1	420	1180
2	1396	1050
done	5001	1049

prune422.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 (/ (fma (fma 0.04481 x 0.99229) x 1.0) (fma 0.27061 x 2.30753))) x)
0.1b	(fma (fma 0.04481 x 0.99229) x 1.0)
0.2b	(/ 1 (/ (fma (fma 0.04481 x 0.99229) x 1.0) (fma 0.27061 x 2.30753)))
13.2b	(/ (fma (fma 0.04481 x 0.99229) x 1.0) (fma 0.27061 x 2.30753))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

354×	`times-frac`
252×	`add-sqr-sqrt`
243×	`*-un-lft-identity`
238×	`add-cube-cbrt`
132×	`prod-diff`
44×	`fma-neg`
23×	`div-inv`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp`
6×	`associate-/l*` `add-log-exp`
5×	`pow1` `associate-/r/` `difference-of-squares`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `pow-flip` `diff-log` `flip--` `fma-udef` `inv-pow`

Counts

4 → 314

Calls

4 calls:

101.0ms	(- (/ 1 (/ (fma (fma 0.04481 x 0.99229) x 1.0) (fma 0.27061 x 2.30753))) x)
1.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
17.0ms	(/ 1 (/ (fma (fma 0.04481 x 0.99229) x 1.0) (fma 0.27061 x 2.30753)))
7.0ms	(/ (fma (fma 0.04481 x 0.99229) x 1.0) (fma 0.27061 x 2.30753))

series297.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(- (/ 1 (/ (fma (fma 0.04481 x 0.99229) x 1.0) (fma 0.27061 x 2.30753))) x)
36.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
76.0ms	(/ 1 (/ (fma (fma 0.04481 x 0.99229) x 1.0) (fma 0.27061 x 2.30753)))
108.0ms	(/ (fma (fma 0.04481 x 0.99229) x 1.0) (fma 0.27061 x 2.30753))

simplify3.3s

Counts

326 → 326

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	379	10215
1	815	8292
2	1491	7123
3	4378	6422
done	5000	6418

prune845.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

7.1b	(/ (/ (fma 0.27061 x 2.30753) (cbrt (fma (fma 0.04481 x 0.99229) x 1.0))) (* (cbrt (fma (fma 0.04481 x 0.99229) x 1.0)) (cbrt (fma (fma 0.04481 x 0.99229) x 1.0))))
13.5b	(cbrt (fma (fma 0.04481 x 0.99229) x 1.0))
13.5b	(cbrt (fma (fma 0.04481 x 0.99229) x 1.0))
13.5b	(cbrt (fma (fma 0.04481 x 0.99229) x 1.0))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
27×	`cbrt-prod`
22×	`associate-/l*`
16×	`add-exp-log`
10×	`add-cbrt-cube`
6×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `div-inv`
2×	`prod-exp` `cbrt-unprod`
1×	`frac-2neg` `clear-num` `associate-/r*` `associate-/l/`

Counts

4 → 105

Calls

4 calls:

30.0ms	(/ (/ (fma 0.27061 x 2.30753) (cbrt (fma (fma 0.04481 x 0.99229) x 1.0))) (* (cbrt (fma (fma 0.04481 x 0.99229) x 1.0)) (cbrt (fma (fma 0.04481 x 0.99229) x 1.0))))
1.0ms	(cbrt (fma (fma 0.04481 x 0.99229) x 1.0))
1.0ms	(cbrt (fma (fma 0.04481 x 0.99229) x 1.0))
1.0ms	(cbrt (fma (fma 0.04481 x 0.99229) x 1.0))

series763.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(/ (/ (fma 0.27061 x 2.30753) (cbrt (fma (fma 0.04481 x 0.99229) x 1.0))) (* (cbrt (fma (fma 0.04481 x 0.99229) x 1.0)) (cbrt (fma (fma 0.04481 x 0.99229) x 1.0))))
248.0ms	(cbrt (fma (fma 0.04481 x 0.99229) x 1.0))
213.0ms	(cbrt (fma (fma 0.04481 x 0.99229) x 1.0))
200.0ms	(cbrt (fma (fma 0.04481 x 0.99229) x 1.0))

simplify3.3s

Counts

117 → 117

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	214	3741
1	498	3646
2	1370	3010
3	4405	2719
done	5000	2712

prune740.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma 0.04481 x 0.99229) x 1.0)
0.2b	(pow (* x 0.27061) 3)
0.3b	(* (* 0.27061 x) (- (* 0.27061 x) 2.30753))
19.3b	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (* (fma 2.30753 2.30753 (* (* 0.27061 x) (- (* 0.27061 x) 2.30753))) (fma (fma 0.04481 x 0.99229) x 1.0)))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log` `add-cbrt-cube`
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` `associate-*r/` `div-exp` `pow-exp` `sum-cubes` `associate-/l/` `distribute-lft-out` `rem-cube-cbrt`
1×	`cube-mult` `pow-to-exp` `unpow-prod-down` `flip3--` `frac-2neg` `flip3-+` `unpow3` `cube-prod` `associate-l` `clear-num` `associate-/r` `-commutative` `flip--` `flip-+` `fma-udef` `div-inv` `sqr-pow`

Counts

4 → 95

Calls

4 calls:

0.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
7.0ms	(pow (* x 0.27061) 3)
40.0ms	(* (* 0.27061 x) (- (* 0.27061 x) 2.30753))
100.0ms	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (* (fma 2.30753 2.30753 (* (* 0.27061 x) (- (* 0.27061 x) 2.30753))) (fma (fma 0.04481 x 0.99229) x 1.0)))

series406.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(fma (fma 0.04481 x 0.99229) x 1.0)
54.0ms	(pow (* x 0.27061) 3)
162.0ms	(* (* 0.27061 x) (- (* 0.27061 x) 2.30753))
155.0ms	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (* (fma 2.30753 2.30753 (* (* 0.27061 x) (- (* 0.27061 x) 2.30753))) (fma (fma 0.04481 x 0.99229) x 1.0)))

simplify2.0s

Counts

107 → 107

Iterations

Useful iterations: 2 (529.0ms)

Iter	Nodes	Cost
0	211	2051
1	506	1927
2	2140	1631
done	5002	1631

prune604.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	16
1	15	16
done	15	16

end0.0ms

sample849.0ms

Algorithm

intervals

Results

659.0ms

8000×

body

valid