Details

sample139.0ms

Algorithm

intervals

Results

48.0ms	100×	body	1280	valid
21.0ms	297×	body	80	valid
21.0ms	71×	body	640	valid
10.0ms	48×	body	320	valid
9.0ms	30×	body	160	valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4128
6	824
5	269
4	137
3	67
2	30
1	15
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

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` `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 → 74

Calls

3 calls:

8.0ms	(/ (sinh y) y)
2.0ms	(sinh y)
22.0ms	(* (sin x) (/ (sinh y) y))

series306.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(/ (sinh y) y)
63.0ms	(sinh y)
136.0ms	(* (sin x) (/ (sinh y) y))

simplify854.0ms

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1794
1	362
0	146

prune369.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

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))))

rewrite81.0ms

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×	`expm1-log1p-u` `rem-sqrt-square` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow-sqr`
2×	`frac-times` `associate-l/` `-commutative`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod`

Counts

4 → 167

Calls

4 calls:

26.0ms	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))
4.0ms	(sqrt (/ (sinh y) y))
4.0ms	(sqrt (/ (sinh y) y))
42.0ms	(* (sin x) (* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y))))

series397.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))
84.0ms	(sqrt (/ (sinh y) y))
86.0ms	(sqrt (/ (sinh y) y))
137.0ms	(* (sin x) (* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y))))

simplify378.0ms

Counts

179 → 179

Iterations

Iter	Nodes
done	5000
1	1023
0	376

prune958.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (pow y 5) 1/120 (fma 1/6 (pow y 3) y))
0.0b	(/ (fma (pow y 5) 1/120 (fma 1/6 (pow y 3) y)) y)
0.0b	(fma 1/6 (pow y 3) y)
0.0b	(* (sin x) (/ (fma (pow y 5) 1/120 (fma 1/6 (pow y 3) y)) y))

rewrite34.0ms

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`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-l` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `fma-udef` `div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative`

Counts

4 → 83

Calls

4 calls:

0.0ms	(fma (pow y 5) 1/120 (fma 1/6 (pow y 3) y))
6.0ms	(/ (fma (pow y 5) 1/120 (fma 1/6 (pow y 3) y)) y)
0.0ms	(fma 1/6 (pow y 3) y)
23.0ms	(* (sin x) (/ (fma (pow y 5) 1/120 (fma 1/6 (pow y 3) y)) y))

series486.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(fma (pow y 5) 1/120 (fma 1/6 (pow y 3) y))
87.0ms	(/ (fma (pow y 5) 1/120 (fma 1/6 (pow y 3) y)) y)
82.0ms	(fma 1/6 (pow y 3) y)
255.0ms	(* (sin x) (/ (fma (pow y 5) 1/120 (fma 1/6 (pow y 3) y)) y))

simplify809.0ms

Counts

95 → 95

Iterations

Iter	Nodes
done	5001
2	1570
1	303
0	134

prune625.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (pow y 3) 1/6 y)
0.0b	(log1p (fma 1/120 (pow y 5) (fma (pow y 3) 1/6 y)))
0.0b	(* (sin x) (/ (expm1 (log1p (fma 1/120 (pow y 5) (fma (pow y 3) 1/6 y)))) y))
0.0b	(expm1 (log1p (fma 1/120 (pow y 5) (fma (pow y 3) 1/6 y))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`times-frac`
9×	`add-cbrt-cube` `add-exp-log`
6×	`pow1`
5×	`expm1-log1p-u`
4×	`log1p-expm1-u` `add-log-exp`
3×	`associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `div-exp` `pow-prod-down` `log1p-expm1` `associate-r/` `-commutative` `fma-udef` `div-inv` `expm1-udef`

Counts

4 → 66

Calls

4 calls:

0.0ms	(fma (pow y 3) 1/6 y)
0.0ms	(log1p (fma 1/120 (pow y 5) (fma (pow y 3) 1/6 y)))
13.0ms	(* (sin x) (/ (expm1 (log1p (fma 1/120 (pow y 5) (fma (pow y 3) 1/6 y)))) y))
0.0ms	(expm1 (log1p (fma 1/120 (pow y 5) (fma (pow y 3) 1/6 y))))

series754.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(fma (pow y 3) 1/6 y)
117.0ms	(log1p (fma 1/120 (pow y 5) (fma (pow y 3) 1/6 y)))
376.0ms	(* (sin x) (/ (expm1 (log1p (fma 1/120 (pow y 5) (fma (pow y 3) 1/6 y)))) y))
175.0ms	(expm1 (log1p (fma 1/120 (pow y 5) (fma (pow y 3) 1/6 y))))

simplify747.0ms

Counts

78 → 78

Iterations

Iter	Nodes
done	5002
2	1789
1	393
0	163

prune496.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

regimes210.0ms

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	9
1	9
0	8

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.2s	2890×	body	1280	valid
1.1s	2496×	body	640	valid
797.0ms	8553×	body	80	valid
257.0ms	1231×	body	320	valid
92.0ms	601×	body	160	valid