Details

sample193.0ms

Algorithm

intervals

Results

80.0ms	112×	body	1280	valid
36.0ms	74×	body	640	valid
35.0ms	299×	body	80	valid
15.0ms	41×	body	320	valid
5.0ms	22×	body	160	valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	3986
6	802
5	260
4	135
3	67
2	30
1	15
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (sin x) (/ (sinh y) y))
0.0b	(sinh y)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
7×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-l`
2×	`prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`
1×	`cbrt-undiv` `sinh-def` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `div-inv`

Counts

2 → 42

Calls

2 calls:

25.0ms	(* (sin x) (/ (sinh y) y))
3.0ms	(sinh y)

series260.0ms

Counts

2 → 6

Calls

2 calls:

172.0ms	(* (sin x) (/ (sinh y) y))
88.0ms	(sinh y)

simplify1.1s

Counts

48 → 48

Iterations

Iter	Nodes
done	5000
2	1524
1	291
0	112

prune217.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sin x) (/ (+ (* (pow y 5) 1/120) (+ y (* (* 1/6 y) (* y y)))) y))
0.0b	(* (pow y 5) 1/120)
0.1b	(* (* 1/6 y) (* y y))
0.4b	(* 1/6 y)

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
28×	`add-exp-log`
25×	`add-cbrt-cube`
20×	`pow1` `associate-r`
17×	`*-un-lft-identity` `add-cube-cbrt`
14×	`associate-l` `prod-exp`
12×	`cbrt-unprod`
10×	`times-frac` `pow-prod-down`
6×	`unswap-sqr`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp`
2×	`sqr-pow`
1×	`pow-to-exp` `cbrt-undiv` `div-exp` `pow-exp` `associate-*r/` `div-inv`

Counts

4 → 101

Calls

4 calls:

53.0ms	(* (sin x) (/ (+ (* (pow y 5) 1/120) (+ y (* (* 1/6 y) (* y y)))) y))
12.0ms	(* (pow y 5) 1/120)
42.0ms	(* (* 1/6 y) (* y y))
9.0ms	(* 1/6 y)

series471.0ms

Counts

4 → 12

Calls

4 calls:

307.0ms	(* (sin x) (/ (+ (* (pow y 5) 1/120) (+ y (* (* 1/6 y) (* y y)))) y))
90.0ms	(* (pow y 5) 1/120)
49.0ms	(* (* 1/6 y) (* y y))
24.0ms	(* 1/6 y)

simplify2.0s

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
2	3011
1	499
0	180

prune581.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.2b	(* (/ (sin x) (/ y (sinh y))) (* (/ (sin x) (/ y (sinh y))) (/ (sin x) (/ y (sinh y)))))
0.3b	(* (/ (sin x) (/ y (sinh y))) (/ (sin x) (/ y (sinh y))))
19.4b	(cbrt (* (/ (sin x) (/ y (sinh y))) (* (/ (sin x) (/ y (sinh y))) (/ (sin x) (/ y (sinh y))))))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

366×	`times-frac`
226×	`add-sqr-sqrt`
211×	`add-cbrt-cube` `add-exp-log`
184×	`*-un-lft-identity` `add-cube-cbrt`
102×	`cbrt-undiv` `div-exp`
94×	`associate-l`
66×	`prod-exp` `cbrt-unprod`
48×	`associate-r`
47×	`swap-sqr`
25×	`pow1`
20×	`associate-/r/` `div-inv`
16×	`sinh-def`
12×	`unswap-sqr`
11×	`frac-times` `associate-*r/`
7×	`cbrt-div` `associate-*l/`
6×	`pow-prod-up`
4×	`pow-prod-down` `insert-posit16` `add-log-exp`
2×	`pow2` `pow-plus` `cube-unmult` `pow-sqr` `*-commutative`
1×	`cbrt-prod` `pow1/3` `rem-cbrt-cube`

Counts

4 → 346

Calls

4 calls:

1.0ms	(sinh y)
50.0ms	(* (/ (sin x) (/ y (sinh y))) (* (/ (sin x) (/ y (sinh y))) (/ (sin x) (/ y (sinh y)))))
28.0ms	(* (/ (sin x) (/ y (sinh y))) (/ (sin x) (/ y (sinh y))))
36.0ms	(cbrt (* (/ (sin x) (/ y (sinh y))) (* (/ (sin x) (/ y (sinh y))) (/ (sin x) (/ y (sinh y))))))

series700.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(sinh y)
281.0ms	(* (/ (sin x) (/ y (sinh y))) (* (/ (sin x) (/ y (sinh y))) (/ (sin x) (/ y (sinh y)))))
184.0ms	(* (/ (sin x) (/ y (sinh y))) (/ (sin x) (/ y (sinh y))))
166.0ms	(cbrt (* (/ (sin x) (/ y (sinh y))) (* (/ (sin x) (/ y (sinh y))) (/ (sin x) (/ y (sinh y))))))

simplify1.6s

Counts

358 → 358

Iterations

Iter	Nodes
done	5000
1	2210
0	567

prune1.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes146.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample7.7s

Algorithm

intervals

Results

2.9s	3085×	body	1280	valid
2.0s	2560×	body	640	valid
1.5s	8701×	body	80	valid
634.0ms	1226×	body	320	valid
171.0ms	653×	body	160	valid