Details

sample175.0ms

Algorithm

intervals

Results

72.0ms	112×	body	1280	valid
27.0ms	74×	body	640	valid
26.0ms	299×	body	80	valid
10.0ms	41×	body	320	valid
4.0ms	22×	body	160	valid

simplify5.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5004
7	1809
6	607
5	236
4	126
3	65
2	30
1	15
0	6

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 2 expressions with local error:

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

rewrite90.0ms

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:

77.0ms	(* (sin x) (/ (sinh y) y))
8.0ms	(sinh y)

series408.0ms

Counts

2 → 6

Calls

2 calls:

262.0ms	(* (sin x) (/ (sinh y) y))
146.0ms	(sinh y)

simplify6.8s

Counts

48 → 48

Iterations

Iter	Nodes
done	5004
3	3484
2	930
1	288
0	112

prune558.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize140.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sin x) (/ (+ (+ (* y (* (* y y) 1/6)) y) (* (pow y 5) 1/120)) y))
0.0b	(* (pow y 5) 1/120)
0.1b	(* y (* (* y y) 1/6))
0.2b	(* (* y y) 1/6)

rewrite2.1s

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `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:

1.9s	(* (sin x) (/ (+ (+ (* y (* (* y y) 1/6)) y) (* (pow y 5) 1/120)) y))
23.0ms	(* (pow y 5) 1/120)
120.0ms	(* y (* (* y y) 1/6))
56.0ms	(* (* y y) 1/6)

series634.0ms

Counts

4 → 12

Calls

4 calls:

417.0ms	(* (sin x) (/ (+ (+ (* y (* (* y y) 1/6)) y) (* (pow y 5) 1/120)) y))
76.0ms	(* (pow y 5) 1/120)
86.0ms	(* y (* (* y y) 1/6))
56.0ms	(* (* y y) 1/6)

simplify4.3s

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
2	1667
1	478
0	182

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize91.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
14.7b	(* (* (sin x) (sinh y)) (/ 1 y))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

7.0ms	(sinh y)
40.0ms	(* (sin x) (sinh y))
86.0ms	(* (* (sin x) (sinh y)) (/ 1 y))

series560.0ms

Counts

3 → 9

Calls

3 calls:

137.0ms	(sinh y)
194.0ms	(* (sin x) (sinh y))
229.0ms	(* (* (sin x) (sinh y)) (/ 1 y))

simplify8.9s

Counts

79 → 79

Iterations

Iter	Nodes
done	5006
3	4679
2	1286
1	419
0	156

prune713.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes605.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample7.2s

Algorithm

intervals

Results

2.3s	3085×	body	1280	valid
2.2s	2560×	body	640	valid
1.3s	8701×	body	80	valid
542.0ms	1226×	body	320	valid
188.0ms	653×	body	160	valid