Details

sample128.0ms

Algorithm

intervals

Results

43.0ms	100×	body	1280	valid
20.0ms	297×	body	80	valid
19.0ms	71×	body	640	valid
10.0ms	48×	body	320	valid
4.0ms	30×	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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

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×	`associate-/r` `associate-l` `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 → 68

Calls

3 calls:

6.0ms	(/ (sinh y) y)
1.0ms	(sinh y)
15.0ms	(* (sin x) (/ (sinh y) y))

series547.0ms

Counts

3 → 9

Calls

3 calls:

199.0ms	(/ (sinh y) y)
109.0ms	(sinh y)
239.0ms	(* (sin x) (/ (sinh y) y))

simplify1.2s

Counts

77 → 77

Iterations

Iter	Nodes
done	5001
2	1713
1	348
0	140

prune437.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

92×	`sqrt-prod`
86×	`add-sqr-sqrt`
62×	`times-frac`
51×	`*-un-lft-identity` `add-cube-cbrt`
26×	`pow1`
19×	`associate-l`
18×	`swap-sqr`
17×	`associate-r`
11×	`add-cbrt-cube` `add-exp-log`
10×	`sqrt-pow1` `pow1/2` `sqrt-div` `unswap-sqr`
6×	`pow-prod-down` `div-inv`
5×	`associate-*r/` `pow-prod-up`
4×	`rem-sqrt-square` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow-sqr`
2×	`frac-times` `associate-l/` `-commutative`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod`

Counts

4 → 159

Calls

4 calls:

47.0ms	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))
7.0ms	(sqrt (/ (sinh y) y))
6.0ms	(sqrt (/ (sinh y) y))
51.0ms	(* (sin x) (* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y))))

series579.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))
133.0ms	(sqrt (/ (sinh y) y))
116.0ms	(sqrt (/ (sinh y) y))
189.0ms	(* (sin x) (* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y))))

simplify1.8s

Counts

171 → 171

Iterations

Iter	Nodes
done	5000
1	972
0	370

prune976.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite587.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

519.0ms	(* (sin x) (/ (+ (+ (* y (* 1/6 (* y y))) y) (* 1/120 (pow y 5))) y))
10.0ms	(* 1/120 (pow y 5))
38.0ms	(* y (* 1/6 (* y y)))
14.0ms	(* 1/6 (* y y))

series524.0ms

Counts

4 → 12

Calls

4 calls:

341.0ms	(* (sin x) (/ (+ (+ (* y (* 1/6 (* y y))) y) (* 1/120 (pow y 5))) y))
82.0ms	(* 1/120 (pow y 5))
63.0ms	(* y (* 1/6 (* y y)))
38.0ms	(* 1/6 (* y y))

simplify3.0s

Counts

109 → 109

Iterations

Iter	Nodes
done	5001
2	3093
1	499
0	177

prune712.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.4b	(* (sin x) (sinh y))
13.1b	(/ (* (sin x) (sinh y)) y)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

2.0ms	(sinh y)
18.0ms	(* (sin x) (sinh y))
21.0ms	(/ (* (sin x) (sinh y)) y)

series423.0ms

Counts

3 → 9

Calls

3 calls:

114.0ms	(sinh y)
153.0ms	(* (sin x) (sinh y))
155.0ms	(/ (* (sin x) (sinh y)) y)

simplify1.2s

Counts

58 → 58

Iterations

Iter	Nodes
done	5001
2	1625
1	291
0	116

prune322.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

regimes254.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample5.9s

Algorithm

intervals

Results

1.9s	2890×	body	1280	valid
1.6s	2496×	body	640	valid
1.1s	8553×	body	80	valid
439.0ms	1231×	body	320	valid
98.0ms	601×	body	160	valid