Details

sample77.0ms

Algorithm

intervals

Results

30.0ms	109×	body	1280	valid
19.0ms	94×	body	640	valid
10.0ms	260×	body	80	valid
4.0ms	33×	body	320	valid
2.0ms	22×	body	160	valid

simplify11.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	29	7
3	64	7
4	136	7
5	250	7
6	464	7
7	1010	7
8	2187	7
9	3081	7
10	4547	7
done	5000	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

3.0ms	(/ (sinh y) y)
1.0ms	(sinh y)
8.0ms	(* (cos x) (/ (sinh y) y))

series278.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(/ (sinh y) y)
72.0ms	(sinh y)
105.0ms	(* (cos x) (/ (sinh y) y))

simplify2.9s

Counts

83 → 83

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	144	762
1	339	714
2	1063	652
3	4333	647
done	5001	647

prune211.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(* (cos x) (/ (sinh y) y))
0.1b	(expm1 (log1p (* (cos x) (/ (sinh y) y))))
0.3b	(log1p (* (cos x) (/ (sinh y) y)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
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` `sinh-def` `log1p-udef` `expm1-log1p` `log1p-expm1` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv` `expm1-udef`

Counts

4 → 66

Calls

4 calls:

1.0ms	(sinh y)
8.0ms	(* (cos x) (/ (sinh y) y))
0.0ms	(expm1 (log1p (* (cos x) (/ (sinh y) y))))
0.0ms	(log1p (* (cos x) (/ (sinh y) y)))

series731.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(sinh y)
91.0ms	(* (cos x) (/ (sinh y) y))
322.0ms	(expm1 (log1p (* (cos x) (/ (sinh y) y))))
255.0ms	(log1p (* (cos x) (/ (sinh y) y)))

simplify879.0ms

Counts

78 → 78

Iterations

Useful iterations: done (877.0ms)

Iter	Nodes	Cost
0	212	1088
1	566	993
2	2186	894
done	5001	890

prune253.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cos x) (sinh y))
0.1b	(expm1 (log1p (/ (* (cos x) (sinh y)) y)))
0.1b	(/ (* (cos x) (sinh y)) y)
0.3b	(log1p (/ (* (cos x) (sinh y)) y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

4.0ms	(* (cos x) (sinh y))
0.0ms	(expm1 (log1p (/ (* (cos x) (sinh y)) y)))
4.0ms	(/ (* (cos x) (sinh y)) y)
0.0ms	(log1p (/ (* (cos x) (sinh y)) y))

series715.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* (cos x) (sinh y))
304.0ms	(expm1 (log1p (/ (* (cos x) (sinh y)) y)))
94.0ms	(/ (* (cos x) (sinh y)) y)
235.0ms	(log1p (/ (* (cos x) (sinh y)) y))

simplify912.0ms

Counts

79 → 79

Iterations

Useful iterations: done (909.0ms)

Iter	Nodes	Cost
0	207	1100
1	541	1011
2	2212	899
done	5000	895

prune237.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (cos x) (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

4.0ms

(* (cos x) (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

series127.0ms

Counts

1 → 3

Calls

1 calls:

127.0ms

(* (cos x) (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

simplify1.4s

Counts

25 → 25

Iterations

Useful iterations: 3 (279.0ms)

Iter	Nodes	Cost
0	57	464
1	120	456
2	384	392
3	1519	391
done	5000	391

prune74.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	9	9
done	9	9

end0.0ms

sample2.3s

Algorithm

intervals

Results

851.0ms	3021×	body	1280	valid
650.0ms	2501×	body	640	valid
322.0ms	8531×	body	80	valid
146.0ms	1227×	body	320	valid
52.0ms	651×	body	160	valid