Details

sample74.0ms

Algorithm

intervals

Results

28.0ms	101×	body	1280	valid
13.0ms	65×	body	640	valid
10.0ms	271×	body	80	valid
5.0ms	43×	body	320	valid
1.0ms	14×	body	160	valid

simplify9.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	30	7
3	67	7
4	137	7
5	265	7
6	482	7
7	1041	7
8	1987	7
9	3484	7
10	4730	7
done	5000	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

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:

8.0ms	(/ (sinh y) y)
18.0ms	(* (cos x) (/ (sinh y) y))
2.0ms	(sinh y)

series258.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(/ (sinh y) y)
101.0ms	(* (cos x) (/ (sinh y) y))
65.0ms	(sinh y)

simplify2.1s

Counts

83 → 83

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	144	762
1	328	714
2	1035	648
3	3583	635
done	5000	635

prune195.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cos x) (exp (log (/ (sinh y) y))))
0.0b	(sinh y)
0.0b	(exp (log (/ (sinh y) y)))
3.6b	(log (/ (sinh y) y))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

41×	`log-prod`
35×	`add-sqr-sqrt`
28×	`add-cube-cbrt` `*-un-lft-identity` `times-frac` `exp-sum`
16×	`associate-r`
8×	`pow1` `add-exp-log`
6×	`add-cbrt-cube`
4×	`expm1-log1p-u` `exp-prod` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `associate-l` `div-inv` `unswap-sqr`
2×	`exp-diff` `rem-log-exp` `log-pow`
1×	`sinh-def` `associate-r/` `div-exp` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `rem-exp-log`

Counts

4 → 100

Calls

4 calls:

34.0ms	(* (cos x) (exp (log (/ (sinh y) y))))
1.0ms	(sinh y)
9.0ms	(exp (log (/ (sinh y) y)))
4.0ms	(log (/ (sinh y) y))

series476.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* (cos x) (exp (log (/ (sinh y) y))))
61.0ms	(sinh y)
93.0ms	(exp (log (/ (sinh y) y)))
223.0ms	(log (/ (sinh y) y))

simplify1.6s

Counts

112 → 112

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	209	1243
1	407	1020
2	1056	944
3	2808	928
done	5001	906

prune304.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (cos x) (sinh y))
0.1b	(/ (* (cos x) (sinh y)) y)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

1.0ms	(sinh y)
12.0ms	(* (cos x) (sinh y))
17.0ms	(/ (* (cos x) (sinh y)) y)

series237.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(sinh y)
83.0ms	(* (cos x) (sinh y))
96.0ms	(/ (* (cos x) (sinh y)) y)

simplify2.7s

Counts

64 → 64

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	119	566
1	268	540
2	964	471
3	4758	445
done	5000	445

prune145.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

0.0ms	(fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))
0.0ms	(fma 1/120 (pow y 4) 1)
10.0ms	(* (cos x) (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

series250.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))
86.0ms	(fma 1/120 (pow y 4) 1)
115.0ms	(* (cos x) (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

simplify1.4s

Counts

51 → 51

Iterations

Useful iterations: 3 (518.0ms)

Iter	Nodes	Cost
0	72	762
1	138	745
2	489	646
3	2162	644
done	5000	644

prune163.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.2s

Algorithm

intervals

Results

832.0ms	3006×	body	1280	valid
412.0ms	2370×	body	640	valid
330.0ms	8504×	body	80	valid
145.0ms	1260×	body	320	valid
54.0ms	613×	body	160	valid