Details

sample155.0ms

Algorithm

intervals

Results

76.0ms	102×	body	1280	valid
26.0ms	284×	body	80	valid
26.0ms	61×	body	640	valid
9.0ms	34×	body	320	valid
4.0ms	20×	body	160	valid

simplify898.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
7	1888
6	631
5	245
4	128
3	65
2	30
1	15
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 66

Calls

2 calls:

9.0ms	(/ (sinh y) y)
12.0ms	(* (sin x) (/ (sinh y) y))

series233.0ms

Counts

2 → 6

Calls

2 calls:

108.0ms	(/ (sinh y) y)
125.0ms	(* (sin x) (/ (sinh y) y))

simplify578.0ms

Counts

72 → 72

Iterations

Iter	Nodes
done	2000
2	1025
1	333
0	134

prune254.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
37×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
32×	`associate-r`
28×	`sqrt-prod`
15×	`add-cbrt-cube` `add-exp-log`
11×	`pow1`
6×	`associate-/r` `associate-/l`
5×	`sqrt-div`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`unswap-sqr`
2×	`cbrt-undiv` `sinh-def` `clear-num` `frac-2neg` `div-exp` `*-commutative` `associate-/l/`
1×	`frac-times` `associate-*l/`

Counts

4 → 136

Calls

4 calls:

8.0ms	(/ (sinh y) y)
9.0ms	(/ (sinh y) y)
42.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
22.0ms	(* (sin x) (sqrt (/ (sinh y) y)))

series670.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(/ (sinh y) y)
130.0ms	(/ (sinh y) y)
175.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
244.0ms	(* (sin x) (sqrt (/ (sinh y) y)))

simplify1.6s

Counts

148 → 148

Iterations

Iter	Nodes
done	2000
1	996
0	342

prune634.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(* (sin x) (/ (sinh y) y))
0.1b	(expm1 (* (sin x) (/ (sinh y) y)))
0.2b	(log1p (expm1 (* (sin x) (/ (sinh y) y))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

8.0ms	(/ (sinh y) y)
18.0ms	(* (sin x) (/ (sinh y) y))
0.0ms	(expm1 (* (sin x) (/ (sinh y) y)))
0.0ms	(log1p (expm1 (* (sin x) (/ (sinh y) y))))

series782.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(/ (sinh y) y)
108.0ms	(* (sin x) (/ (sinh y) y))
351.0ms	(expm1 (* (sin x) (/ (sinh y) y)))
207.0ms	(log1p (expm1 (* (sin x) (/ (sinh y) y))))

simplify698.0ms

Counts

102 → 102

Iterations

Iter	Nodes
done	2001
1	625
0	236

prune519.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (* (sin x) (/ (sinh y) y)))
0.0b	(* (sin x) (/ (sinh y) y))
0.0b	(* (sin x) (/ (sinh y) y))
0.3b	(* (sqrt (* (sin x) (/ (sinh y) y))) (sqrt (* (sin x) (/ (sinh y) y))))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

60×	`pow1`
36×	`add-sqr-sqrt`
30×	`sqrt-pow1` `associate-r`
24×	`*-un-lft-identity` `add-cube-cbrt`
23×	`pow-prod-down`
20×	`times-frac`
16×	`add-cbrt-cube` `add-exp-log`
11×	`pow1/2`
10×	`associate-l` `pow-prod-up`
8×	`associate-*r/`
6×	`pow-sqr`
5×	`sqrt-div` `prod-exp` `sqrt-prod` `cbrt-unprod` `unswap-sqr`
4×	`expm1-log1p-u` `swap-sqr` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`cbrt-undiv` `div-exp` `div-inv`
1×	`pow2` `frac-times` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `associate-*l/`

Counts

4 → 140

Calls

4 calls:

6.0ms	(sqrt (* (sin x) (/ (sinh y) y)))
12.0ms	(* (sin x) (/ (sinh y) y))
12.0ms	(* (sin x) (/ (sinh y) y))
66.0ms	(* (sqrt (* (sin x) (/ (sinh y) y))) (sqrt (* (sin x) (/ (sinh y) y))))

series884.0ms

Counts

4 → 12

Calls

4 calls:

423.0ms	(sqrt (* (sin x) (/ (sinh y) y)))
129.0ms	(* (sin x) (/ (sinh y) y))
131.0ms	(* (sin x) (/ (sinh y) y))
201.0ms	(* (sqrt (* (sin x) (/ (sinh y) y))) (sqrt (* (sin x) (/ (sinh y) y))))

simplify1.3s

Counts

152 → 152

Iterations

Iter	Nodes
done	2002
1	956
0	311

prune629.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes163.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample6.9s

Algorithm

intervals

Results

2.4s	2939×	body	1280	valid
1.8s	2419×	body	640	valid
1.4s	8586×	body	80	valid
537.0ms	625×	body	160	valid
466.0ms	1220×	body	320	valid