Details

sample36.0ms

Algorithm

intervals

Results

24.0ms

256×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
7	2287
6	917
5	431
4	224
3	97
2	43
1	22
0	10

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* 2 t) (+ 1 t))
0.0b	(/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))
0.0b	(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
0.0b	(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-cbrt-cube` `add-exp-log`
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×	`insert-posit16` `associate-/l*` `add-log-exp`
2×	`pow2` `frac-times` `clear-num` `frac-2neg` `pow-plus` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up` `unswap-sqr` `associate-/l/`

Counts

4 → 194

Calls

4 calls:

13.0ms	(/ (* 2 t) (+ 1 t))
46.0ms	(/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))
77.0ms	(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
39.0ms	(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))

series215.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ (* 2 t) (+ 1 t))
102.0ms	(/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))
30.0ms	(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
43.0ms	(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))

simplify1.0s

Counts

206 → 206

Iterations

Iter	Nodes
2	2226
1	657
0	215

prune1.8s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))
0.0b	(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
0.0b	(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
1.9b	(log (exp (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))

rewrite119.0ms

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`
4×	`insert-posit16`
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 → 162

Calls

4 calls:

4.0ms	(exp (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))
36.0ms	(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
64.0ms	(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
10.0ms	(log (exp (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))

series174.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(exp (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))
54.0ms	(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
38.0ms	(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
30.0ms	(log (exp (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))

simplify6.9s

Counts

174 → 174

Iterations

Iter	Nodes
3	8957
2	1622
1	470
0	159

prune2.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
0.0b	(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
0.0b	(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
0.1b	(* (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))) (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))

rewrite373.0ms

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` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

4 → 475

Calls

4 calls:

67.0ms	(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
40.0ms	(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
70.0ms	(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
173.0ms	(* (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))) (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))

series190.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
36.0ms	(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
45.0ms	(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
59.0ms	(* (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))) (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))

simplify2.3s

Counts

487 → 487

Iterations

Iter	Nodes
2	3390
1	1165
0	380

prune5.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
0.1b	(* (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))) (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))
1.9b	(log (exp (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))
9.4b	(cbrt (* (* (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))) (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

780×	`add-cbrt-cube` `add-exp-log`
415×	`prod-exp` `cbrt-unprod`
252×	`cbrt-undiv` `div-exp`
147×	`frac-times`
123×	`pow1`
87×	`associate-*l/`
75×	`associate-*r/`
63×	`cbrt-div`
37×	`pow-prod-up`
27×	`*-un-lft-identity`
24×	`pow-prod-down`
23×	`pow-sqr`
20×	`times-frac`
19×	`pow-plus`
15×	`add-sqr-sqrt`
14×	`pow2`
13×	`swap-sqr` `add-cube-cbrt`
11×	`associate-r` `associate-l`
8×	`associate-/r/`
6×	`distribute-lft-out`
5×	`add-log-exp`
4×	`flip3-+` `flip-+` `insert-posit16` `div-inv`
3×	`log-prod` `log-pow`
2×	`*-commutative` `unswap-sqr`
1×	`cbrt-prod` `exp-prod` `exp-to-pow` `pow1/3` `rem-log-exp` `pow3` `rem-cbrt-cube`

Counts

4 → 428

Calls

4 calls:

55.0ms	(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
248.0ms	(* (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))) (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))
5.0ms	(log (exp (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))
679.0ms	(cbrt (* (* (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))) (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))

series282.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
50.0ms	(* (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))) (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))
54.0ms	(log (exp (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))
127.0ms	(cbrt (* (* (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))) (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))

simplify2.9s

Counts

440 → 440

Iterations

Iter	Nodes
2	4271
1	1694
0	563

prune6.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes104.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	18
1	18
0	12

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.5s

8000×

body

valid