Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	1291
6	944
5	670
4	325
3	123
2	44
1	20
0	10

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite261.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-cbrt-cube` `add-exp-log`
56×	`*-un-lft-identity`
49×	`times-frac`
32×	`add-sqr-sqrt`
30×	`prod-exp` `cbrt-unprod`
28×	`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`
3×	`associate-/r` `associate-/l`
2×	`pow2` `frac-times` `pow-plus` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg`

Counts

4 → 176

Calls

4 calls:

12.0ms	(+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
54.0ms	(/ (+ 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)))))
94.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
88.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series416.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
197.0ms	(/ (+ 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)))))
57.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
87.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify3.1s

Counts

188 → 188

Iterations

Iter	Nodes
done	5000
2	4160
1	668
0	212

prune917.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize62.0ms

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	(exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
1.6b	(log (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-cbrt-cube` `add-exp-log`
49×	`*-un-lft-identity`
40×	`times-frac`
30×	`prod-exp` `cbrt-unprod`
25×	`add-sqr-sqrt`
24×	`cbrt-undiv` `swap-sqr` `div-exp`
21×	`add-cube-cbrt`
20×	`associate-r` `associate-l`
19×	`pow1`
16×	`associate-/r/`
12×	`distribute-lft-out`
8×	`flip3-+` `flip-+` `div-inv`
7×	`add-log-exp`
3×	`log-prod` `log-pow`
2×	`pow2` `frac-times` `exp-prod` `pow-plus` `exp-to-pow` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up` `unswap-sqr`
1×	`rem-log-exp` `rem-exp-log`

Counts

4 → 158

Calls

4 calls:

64.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
75.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
6.0ms	(exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
8.0ms	(log (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))

series317.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
63.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
125.0ms	(exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
66.0ms	(log (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))

simplify2.4s

Counts

170 → 170

Iterations

Iter	Nodes
done	5001
2	3258
1	510
0	160

prune840.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize68.0ms

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))))

rewrite577.0ms

Algorithm

rewrite-expression-head

Rules

852×	`add-cbrt-cube` `add-exp-log`
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-l/` `associate-r/`
12×	`flip3-+` `flip-+` `div-inv`
4×	`*-commutative` `add-log-exp` `unswap-sqr`

Counts

4 → 471

Calls

4 calls:

97.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
68.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
95.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
239.0ms	(* (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))

series283.0ms

Counts

4 → 12

Calls

4 calls:

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)))
65.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
102.0ms	(* (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))

simplify3.6s

Counts

483 → 483

Iterations

Iter	Nodes
done	5001
1	1606
0	383

prune1.8s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize195.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 2.0 (/ (+ t 1.0) t))
0.1b	(/ 2.0 (/ (+ t 1.0) t))
0.1b	(/ 2.0 (/ (+ t 1.0) t))
0.1b	(/ 2.0 (/ (+ t 1.0) t))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

384×	`times-frac`
296×	`*-un-lft-identity`
200×	`add-sqr-sqrt` `add-cube-cbrt`
64×	`associate-/r*`
48×	`distribute-lft-out`
24×	`add-cbrt-cube` `add-exp-log`
20×	`div-inv`
12×	`cbrt-undiv` `div-exp` `associate-/l*`
4×	`pow1` `clear-num` `frac-2neg` `associate-/r/` `add-log-exp`

Counts

4 → 328

Calls

4 calls:

27.0ms	(/ 2.0 (/ (+ t 1.0) t))
23.0ms	(/ 2.0 (/ (+ t 1.0) t))
23.0ms	(/ 2.0 (/ (+ t 1.0) t))
28.0ms	(/ 2.0 (/ (+ t 1.0) t))

series265.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(/ 2.0 (/ (+ t 1.0) t))
70.0ms	(/ 2.0 (/ (+ t 1.0) t))
77.0ms	(/ 2.0 (/ (+ t 1.0) t))
50.0ms	(/ 2.0 (/ (+ t 1.0) t))

simplify1.5s

Counts

340 → 340

Iterations

Iter	Nodes
done	5002
2	2029
1	427
0	163

prune2.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes118.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	16
1	16
0	12

end0.0ms

sample797.0ms

Algorithm

intervals

Results

640.0ms

8000×

body

valid