Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify6.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	10	35
1	20	35
2	46	33
3	119	33
4	313	33
5	564	33
6	766	33
7	1019	33
8	1447	33
done	5000	33

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* 2.0 t) (+ 1.0 t))
0.0b	(/ (* 2.0 t) (+ 1.0 t))
0.0b	(/ (* 2.0 t) (+ 1.0 t))
0.0b	(/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
21×	`add-exp-log` `times-frac` `add-cbrt-cube`
18×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r/` `distribute-lft-out` `associate-/l*`
4×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+`

Counts

4 → 110

Calls

4 calls:

34.0ms	(/ (* 2.0 t) (+ 1.0 t))
26.0ms	(/ (* 2.0 t) (+ 1.0 t))
17.0ms	(/ (* 2.0 t) (+ 1.0 t))
9.0ms	(/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0))

series445.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ (* 2.0 t) (+ 1.0 t))
70.0ms	(/ (* 2.0 t) (+ 1.0 t))
66.0ms	(/ (* 2.0 t) (+ 1.0 t))
265.0ms	(/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0))

simplify2.7s

Counts

122 → 122

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	132	2500
1	300	2437
2	927	2158
3	3556	2154
done	5000	2145

prune390.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* 2.0 t) (+ 1.0 t))
0.0b	(/ (* 2.0 t) (+ 1.0 t))
0.0b	(/ 1 (/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)))
0.0b	(/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

92×	`times-frac`
66×	`*-un-lft-identity`
58×	`add-sqr-sqrt` `add-cube-cbrt`
27×	`add-exp-log`
24×	`associate-/r*`
21×	`add-cbrt-cube`
12×	`div-exp`
8×	`cbrt-undiv` `div-inv` `associate-/l*`
5×	`pow1` `associate-/r/`
4×	`expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
2×	`rec-exp` `flip3-+` `1-exp` `prod-exp` `cbrt-unprod` `flip-+`
1×	`pow-flip` `inv-pow`

Counts

4 → 161

Calls

4 calls:

20.0ms	(/ (* 2.0 t) (+ 1.0 t))
41.0ms	(/ (* 2.0 t) (+ 1.0 t))
20.0ms	(/ 1 (/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)))
10.0ms	(/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0))

series603.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ (* 2.0 t) (+ 1.0 t))
56.0ms	(/ (* 2.0 t) (+ 1.0 t))
248.0ms	(/ 1 (/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)))
244.0ms	(/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0))

simplify1.7s

Counts

173 → 173

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	244	6657
1	546	6401
2	1420	5858
done	5000	5836

prune559.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* 2.0 t) (+ 1.0 t))
0.0b	(/ (* 2.0 t) (+ 1.0 t))
0.0b	(* (sqrt (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)) (/ (sqrt (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0)))
0.0b	(/ (sqrt (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
48×	`times-frac`
46×	`*-un-lft-identity`
38×	`add-cube-cbrt`
29×	`sqrt-prod`
22×	`associate-r`
21×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r*`
8×	`associate-/l*`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-l` `unswap-sqr`
4×	`expm1-log1p-u` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `div-inv` `distribute-lft-out` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`flip3-+` `flip-+`
1×	`associate-r/` `pow-prod-down` `-commutative`

Counts

4 → 145

Calls

4 calls:

17.0ms	(/ (* 2.0 t) (+ 1.0 t))
23.0ms	(/ (* 2.0 t) (+ 1.0 t))
33.0ms	(* (sqrt (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)) (/ (sqrt (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0)))
14.0ms	(/ (sqrt (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0))

series907.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ (* 2.0 t) (+ 1.0 t))
68.0ms	(/ (* 2.0 t) (+ 1.0 t))
334.0ms	(* (sqrt (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)) (/ (sqrt (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0)))
449.0ms	(/ (sqrt (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0))

simplify1.7s

Counts

157 → 157

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	227	6429
1	538	5748
2	1751	5143
done	5000	5007

prune702.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)) (/ (sqrt (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)) (fma (cbrt (pow (/ (* 2.0 t) (+ 1.0 t)) 3)) (/ (* 2.0 t) (+ 1.0 t)) 2.0)))
0.0b	(/ (sqrt (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)) (fma (cbrt (pow (/ (* 2.0 t) (+ 1.0 t)) 3)) (/ (* 2.0 t) (+ 1.0 t)) 2.0))
0.0b	(pow (/ (* 2.0 t) (+ 1.0 t)) 3)
19.1b	(cbrt (pow (/ (* 2.0 t) (+ 1.0 t)) 3))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
56×	`times-frac`
52×	`*-un-lft-identity`
44×	`add-cube-cbrt`
29×	`sqrt-prod`
26×	`cbrt-prod`
22×	`associate-r`
20×	`unpow-prod-down` `cube-prod`
17×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r/`
7×	`pow1`
6×	`associate-l` `div-inv` `associate-/l*` `unswap-sqr`
4×	`cbrt-undiv` `expm1-log1p-u` `flip3-+` `div-exp` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`pow-unpow` `pow-exp` `prod-exp` `associate-/r*` `cbrt-unprod` `rem-cube-cbrt`
2×	`cube-div` `cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `rem-cbrt-cube`

Counts

4 → 173

Calls

4 calls:

38.0ms	(* (sqrt (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)) (/ (sqrt (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)) (fma (cbrt (pow (/ (* 2.0 t) (+ 1.0 t)) 3)) (/ (* 2.0 t) (+ 1.0 t)) 2.0)))
11.0ms	(/ (sqrt (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)) (fma (cbrt (pow (/ (* 2.0 t) (+ 1.0 t)) 3)) (/ (* 2.0 t) (+ 1.0 t)) 2.0))
30.0ms	(pow (/ (* 2.0 t) (+ 1.0 t)) 3)
22.0ms	(cbrt (pow (/ (* 2.0 t) (+ 1.0 t)) 3))

series979.0ms

Counts

4 → 12

Calls

4 calls:

300.0ms	(* (sqrt (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)) (/ (sqrt (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)) (fma (cbrt (pow (/ (* 2.0 t) (+ 1.0 t)) 3)) (/ (* 2.0 t) (+ 1.0 t)) 2.0)))
505.0ms	(/ (sqrt (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)) (fma (cbrt (pow (/ (* 2.0 t) (+ 1.0 t)) 3)) (/ (* 2.0 t) (+ 1.0 t)) 2.0))
97.0ms	(pow (/ (* 2.0 t) (+ 1.0 t)) 3)
76.0ms	(cbrt (pow (/ (* 2.0 t) (+ 1.0 t)) 3))

simplify1.9s

Counts

185 → 185

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	295	7530
1	713	6232
2	2284	4368
done	5000	4278

prune760.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes40.0ms

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	9	33
1	11	33
done	11	33

end0.0ms

sample772.0ms

Algorithm

intervals

Results

576.0ms

8000×

body

valid