Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify5.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	10	35
1	20	35
2	46	33
3	121	33
4	308	33
5	536	33
6	694	33
7	945	33
8	1332	33
9	4533	33
done	5000	33

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-exp-log` `add-cbrt-cube`
62×	`*-un-lft-identity`
53×	`times-frac`
34×	`add-sqr-sqrt`
31×	`prod-exp` `cbrt-unprod`
30×	`add-cube-cbrt`
27×	`cbrt-undiv` `div-exp`
24×	`swap-sqr`
20×	`associate-r` `associate-l` `associate-/r/`
18×	`pow1`
14×	`distribute-lft-out`
11×	`flip3-+` `flip-+`
10×	`div-inv`
7×	`associate-/r*`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`pow2` `frac-times` `frac-2neg` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `associate-/l/` `unswap-sqr`

Counts

4 → 198

Calls

4 calls:

7.0ms	(/ (* 2.0 t) (+ 1.0 t))
12.0ms	(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
35.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
31.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series254.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ (* 2.0 t) (+ 1.0 t))
118.0ms	(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
47.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
52.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify1.3s

Counts

210 → 210

Iterations

Useful iterations: 2 (483.0ms)

Iter	Nodes	Cost
0	223	5239
1	655	4649
2	2586	3684
done	5000	3684

prune392.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

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:

7.0ms	(/ (* 2.0 t) (+ 1.0 t))
7.0ms	(/ (* t 2.0) (+ 1.0 t))
7.0ms	(/ (* t 2.0) (+ 1.0 t))
2.0ms	(/ (fma (/ (* t 2.0) (+ 1.0 t)) (/ (* t 2.0) (+ 1.0 t)) 2.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0))

series311.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ (* 2.0 t) (+ 1.0 t))
38.0ms	(/ (* t 2.0) (+ 1.0 t))
38.0ms	(/ (* t 2.0) (+ 1.0 t))
190.0ms	(/ (fma (/ (* t 2.0) (+ 1.0 t)) (/ (* t 2.0) (+ 1.0 t)) 2.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0))

simplify2.2s

Counts

122 → 122

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	166	2500
1	374	2435
2	1099	2155
3	4922	2154
done	5000	2154

prune303.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

270×	`times-frac`
159×	`*-un-lft-identity`
147×	`add-sqr-sqrt` `add-cube-cbrt`
132×	`sqrt-prod`
25×	`associate-/l*`
24×	`add-exp-log` `add-cbrt-cube`
18×	`associate-/r*`
11×	`div-inv`
9×	`cbrt-undiv` `div-exp`
6×	`associate-/r/` `distribute-lft-out`
4×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+`
1×	`associate-/l/`

Counts

4 → 258

Calls

4 calls:

7.0ms	(/ (* 2.0 t) (+ 1.0 t))
7.0ms	(/ (* t 2.0) (+ 1.0 t))
7.0ms	(/ (* t 2.0) (+ 1.0 t))
11.0ms	(/ (/ (fma (/ (* t 2.0) (+ 1.0 t)) (/ (* t 2.0) (+ 1.0 t)) 2.0) (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)))

series301.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ (* 2.0 t) (+ 1.0 t))
37.0ms	(/ (* t 2.0) (+ 1.0 t))
37.0ms	(/ (* t 2.0) (+ 1.0 t))
185.0ms	(/ (/ (fma (/ (* t 2.0) (+ 1.0 t)) (/ (* t 2.0) (+ 1.0 t)) 2.0) (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)))

simplify1.1s

Counts

270 → 270

Iterations

Useful iterations: 2 (478.0ms)

Iter	Nodes	Cost
0	352	18111
1	817	16526
2	2047	15341
done	5000	15341

prune556.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t 2.0) (+ 1.0 t))
0.0b	(/ (* t 2.0) (+ 1.0 t))
0.0b	(/ (fma (/ (* t 2.0) (+ 1.0 t)) (/ (* t 2.0) (+ 1.0 t)) 2.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0))
0.5b	(pow (/ (fma (/ (* t 2.0) (+ 1.0 t)) (/ (* t 2.0) (+ 1.0 t)) 2.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)) 3)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
35×	`times-frac`
31×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
13×	`unpow-prod-down` `cube-prod`
11×	`associate-/r*`
6×	`cbrt-undiv` `div-exp`
5×	`pow1` `div-inv` `associate-/l*`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`pow-unpow` `frac-2neg` `clear-num`
2×	`flip3-+` `pow-exp` `prod-exp` `cbrt-unprod` `flip-+` `rem-cube-cbrt`
1×	`cube-div` `cube-mult` `pow-to-exp` `pow-pow` `unpow3` `sqr-pow`

Counts

4 → 131

Calls

4 calls:

7.0ms	(/ (* t 2.0) (+ 1.0 t))
7.0ms	(/ (* t 2.0) (+ 1.0 t))
2.0ms	(/ (fma (/ (* t 2.0) (+ 1.0 t)) (/ (* t 2.0) (+ 1.0 t)) 2.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0))
4.0ms	(pow (/ (fma (/ (* t 2.0) (+ 1.0 t)) (/ (* t 2.0) (+ 1.0 t)) 2.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)) 3)

series486.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ (* t 2.0) (+ 1.0 t))
38.0ms	(/ (* t 2.0) (+ 1.0 t))
186.0ms	(/ (fma (/ (* t 2.0) (+ 1.0 t)) (/ (* t 2.0) (+ 1.0 t)) 2.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0))
218.0ms	(pow (/ (fma (/ (* t 2.0) (+ 1.0 t)) (/ (* t 2.0) (+ 1.0 t)) 2.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)) 3)

simplify817.0ms

Counts

143 → 143

Iterations

Useful iterations: 2 (278.0ms)

Iter	Nodes	Cost
0	193	4966
1	531	4693
2	1833	4279
done	5000	4279

prune395.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes13.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	54
1	18	54
done	18	54

end0.0ms

sample328.0ms

Algorithm

intervals

Results

238.0ms

8000×

body

valid