Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify68.0ms

Counts

1 → 1

Iterations

Useful iterations: 5 (20.0ms)

Iter	Nodes	Cost
0	20	17
1	46	17
2	128	17
3	340	17
4	662	17
5	897	15
6	1179	15
7	1753	15
8	5001	15
done	5001	15

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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 (* (/ (* 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)))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-exp-log` `add-cbrt-cube`
57×	`*-un-lft-identity`
49×	`times-frac`
33×	`add-sqr-sqrt`
30×	`prod-exp` `cbrt-unprod`
29×	`add-cube-cbrt`
25×	`cbrt-undiv` `div-exp`
24×	`swap-sqr`
20×	`associate-r` `associate-l`
18×	`pow1` `associate-/r/`
12×	`distribute-lft-out`
11×	`flip3-+` `flip-+`
9×	`div-inv`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `associate-/r` `associate-/l`
2×	`pow2` `frac-times` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `clear-num` `sum-log`

Counts

4 → 187

Calls

4 calls:

34.0ms	(/ (+ 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)))))
7.0ms	(+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
56.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
59.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series268.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(/ (+ 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)))))
52.0ms	(+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
46.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
53.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify92.0ms

Counts

199 → 199

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	648	2346
1	3246	1881
2	5001	1831
done	5001	1831

prune354.0ms

Pruning

3 alts after pruning (3 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)) (/ (* 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)))
0.1b	(* (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))

rewrite417.0ms

Algorithm

rewrite-expression-head

Rules

852×	`add-exp-log` `add-cbrt-cube`
445×	`prod-exp` `cbrt-unprod`
276×	`cbrt-undiv` `div-exp`
136×	`pow1`
70×	`*-un-lft-identity`
60×	`times-frac`
39×	`pow-prod-up`
37×	`swap-sqr`
34×	`add-sqr-sqrt`
31×	`associate-r` `associate-l`
28×	`add-cube-cbrt`
26×	`pow-prod-down`
25×	`pow-sqr`
24×	`associate-/r/`
21×	`pow-plus`
20×	`frac-times`
18×	`distribute-lft-out`
16×	`pow2`
14×	`associate-r/` `associate-l/`
12×	`flip3-+` `flip-+` `div-inv`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

4 → 479

Calls

4 calls:

56.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
57.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
56.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
194.0ms	(* (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))

series212.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (/ (* 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)))
54.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
61.0ms	(* (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))

simplify79.0ms

Counts

491 → 491

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1308	6610
1	5002	2761
done	5002	2761

prune469.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.0b	(pow (/ (* 2.0 t) (+ 1.0 t)) 6)
0.1b	(* (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) (cbrt (pow (/ (* 2.0 t) (+ 1.0 t)) 6)))
9.0b	(cbrt (pow (/ (* 2.0 t) (+ 1.0 t)) 6))

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

93×	`add-exp-log`
77×	`add-cbrt-cube`
42×	`*-un-lft-identity`
41×	`prod-exp`
40×	`cbrt-unprod`
32×	`times-frac`
31×	`cbrt-prod` `unpow-prod-down`
27×	`add-sqr-sqrt` `associate-r`
26×	`div-exp`
24×	`cbrt-undiv`
22×	`add-cube-cbrt`
17×	`pow1`
14×	`associate-/r/`
12×	`swap-sqr`
11×	`associate-l`
9×	`distribute-lft-out`
7×	`flip3-+` `flip-+` `div-inv`
5×	`associate-*l/` `unswap-sqr`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `pow-exp`
2×	`frac-times` `associate-r/` `-commutative`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `pow1/3` `pow-sqr` `pow-prod-up`

Counts

4 → 178

Calls

4 calls:

55.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
14.0ms	(pow (/ (* 2.0 t) (+ 1.0 t)) 6)
149.0ms	(* (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) (cbrt (pow (/ (* 2.0 t) (+ 1.0 t)) 6)))
9.0ms	(cbrt (pow (/ (* 2.0 t) (+ 1.0 t)) 6))

series244.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
70.0ms	(pow (/ (* 2.0 t) (+ 1.0 t)) 6)
73.0ms	(* (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) (cbrt (pow (/ (* 2.0 t) (+ 1.0 t)) 6)))
49.0ms	(cbrt (pow (/ (* 2.0 t) (+ 1.0 t)) 6))

simplify107.0ms

Counts

190 → 190

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	811	2076
1	4454	1430
2	5001	1430
done	5001	1430

prune468.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (fma (pow (/ (* 2.0 t) (+ 1.0 t)) 6) 1 (pow 2.0 3)) (fma (/ (* 2.0 t) (+ 1.0 t)) (- (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (/ (* (* 2.0 t) 2.0) (+ 1.0 t))) (* 2.0 2.0)))
0.0b	(fma (/ (* 2.0 t) (+ 1.0 t)) (- (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (/ (* (* 2.0 t) 2.0) (+ 1.0 t))) (* 2.0 2.0))
0.0b	(pow (/ (* 2.0 t) (+ 1.0 t)) 3)
0.0b	(pow (/ (* 2.0 t) (+ 1.0 t)) 6)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

5.0ms	(/ (fma (pow (/ (* 2.0 t) (+ 1.0 t)) 6) 1 (pow 2.0 3)) (fma (/ (* 2.0 t) (+ 1.0 t)) (- (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (/ (* (* 2.0 t) 2.0) (+ 1.0 t))) (* 2.0 2.0)))
0.0ms	(fma (/ (* 2.0 t) (+ 1.0 t)) (- (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (/ (* (* 2.0 t) 2.0) (+ 1.0 t))) (* 2.0 2.0))
14.0ms	(pow (/ (* 2.0 t) (+ 1.0 t)) 3)
14.0ms	(pow (/ (* 2.0 t) (+ 1.0 t)) 6)

series526.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(/ (fma (pow (/ (* 2.0 t) (+ 1.0 t)) 6) 1 (pow 2.0 3)) (fma (/ (* 2.0 t) (+ 1.0 t)) (- (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (/ (* (* 2.0 t) 2.0) (+ 1.0 t))) (* 2.0 2.0)))
148.0ms	(fma (/ (* 2.0 t) (+ 1.0 t)) (- (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (/ (* (* 2.0 t) 2.0) (+ 1.0 t))) (* 2.0 2.0))
62.0ms	(pow (/ (* 2.0 t) (+ 1.0 t)) 3)
73.0ms	(pow (/ (* 2.0 t) (+ 1.0 t)) 6)

simplify82.0ms

Counts

123 → 123

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	597	1659
1	2657	1499
2	5003	1493
done	5003	1493

prune414.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	33
1	22	33
done	22	33

end0.0ms

sample333.0ms

Algorithm

intervals

Results

218.0ms

8000×

body

valid