Details

sample118.0ms

Algorithm

intervals

Results

33.0ms	86×	body	1280	valid
27.0ms	34×	body	320	valid
20.0ms	72×	body	640	valid
18.0ms	289×	body	80	valid
2.0ms	16×	body	160	valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	1888
6	631
5	245
4	128
3	65
2	30
1	15
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
13×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
3×	`expm1-log1p-u` `associate-/r` `associate-l` `insert-posit16` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative` `associate-/l/`

Counts

3 → 77

Calls

3 calls:

28.0ms	(* (cos x) (/ (sinh y) y))
2.0ms	(sinh y)
12.0ms	(/ (sinh y) y)

series324.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(* (cos x) (/ (sinh y) y))
89.0ms	(sinh y)
133.0ms	(/ (sinh y) y)

simplify2.5s

Counts

86 → 86

Iterations

Iter	Nodes
done	5011
3	3850
2	1102
1	353
0	146

prune344.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cos x) (fma 1/120 (* (* y y) (* y y)) (fma (* y y) 1/6 1)))
0.1b	(* (* y y) (* y y))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

115×	`pow1`
36×	`pow-prod-up`
24×	`pow-prod-down`
22×	`pow-sqr`
18×	`pow-plus`
16×	`add-cbrt-cube` `add-exp-log`
13×	`pow2`
9×	`prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt`
4×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
2×	`expm1-log1p-u` `*-commutative` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `swap-sqr`

Counts

2 → 89

Calls

2 calls:

13.0ms	(* (cos x) (fma 1/120 (* (* y y) (* y y)) (fma (* y y) 1/6 1)))
34.0ms	(* (* y y) (* y y))

series197.0ms

Counts

2 → 6

Calls

2 calls:

161.0ms	(* (cos x) (fma 1/120 (* (* y y) (* y y)) (fma (* y y) 1/6 1)))
36.0ms	(* (* y y) (* y y))

simplify1.8s

Counts

95 → 95

Iterations

Iter	Nodes
done	5003
3	2752
2	771
1	269
0	100

prune274.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (* y y) 1/120 1/6)
0.1b	(* (cos x) (* y y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt`
3×	`-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-r` `*-commutative` `fma-udef` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

0.0ms	(fma (* y y) 1/120 1/6)
33.0ms	(* (cos x) (* y y))

series134.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(fma (* y y) 1/120 1/6)
59.0ms	(* (cos x) (* y y))

simplify1.8s

Counts

39 → 39

Iterations

Iter	Nodes
done	5000
3	1657
2	390
1	137
0	59

prune182.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes172.0ms

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

sample4.4s

Algorithm

intervals

Results

1.6s	3096×	body	1280	valid
1.0s	2453×	body	640	valid
1.0s	8615×	body	80	valid
314.0ms	1252×	body	320	valid
122.0ms	590×	body	160	valid