Details

sample79.0ms

Algorithm

intervals

Results

31.0ms	109×	body	1280	valid
17.0ms	94×	body	640	valid
11.0ms	261×	body	80	valid
4.0ms	33×	body	320	valid
2.0ms	21×	body	160	valid

simplify11.9s

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

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(sinh y)
0.0b	(* (sin 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)
9.0ms	(* (sin x) (/ (sinh y) y))

series273.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(/ (sinh y) y)
67.0ms	(sinh y)
114.0ms	(* (sin x) (/ (sinh y) y))

simplify3.0s

Counts

83 → 83

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	146	764
1	348	716
2	1099	651
3	4482	649
done	5001	649

prune213.0ms

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	(sinh y)
0.0b	(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))
0.0b	(cbrt (pow (/ (sinh y) y) 3))
0.0b	(pow (/ (sinh y) y) 3)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-prod`
66×	`add-sqr-sqrt`
56×	`times-frac`
51×	`add-cube-cbrt` `*-un-lft-identity`
41×	`unpow-prod-down` `cube-prod`
35×	`associate-r`
9×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`pow1` `unswap-sqr`
6×	`div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`cube-div` `cube-mult` `pow-unpow` `unpow3` `associate-l`
2×	`cbrt-div` `pow-exp` `rem-cube-cbrt`
1×	`cbrt-undiv` `pow-to-exp` `sinh-def` `pow-pow` `pow1/3` `associate-r/` `div-exp` `pow-prod-down` `prod-exp` `-commutative` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 161

Calls

4 calls:

1.0ms	(sinh y)
28.0ms	(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))
4.0ms	(cbrt (pow (/ (sinh y) y) 3))
4.0ms	(pow (/ (sinh y) y) 3)

series422.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(sinh y)
119.0ms	(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))
106.0ms	(cbrt (pow (/ (sinh y) y) 3))
130.0ms	(pow (/ (sinh y) y) 3)

simplify961.0ms

Counts

173 → 173

Iterations

Useful iterations: done (956.0ms)

Iter	Nodes	Cost
0	240	2273
1	607	1734
2	2091	1548
done	5000	1546

prune378.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sinh y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`sinh-def` `cbrt-div`

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt (sinh y))
0.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series793.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt (sinh y))
207.0ms	(cbrt y)
203.0ms	(cbrt y)
200.0ms	(cbrt y)

simplify1.5s

Counts

65 → 65

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	66	335
1	121	315
2	227	291
3	428	278
4	960	278
5	2646	278
done	5000	278

prune229.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma -1/6 (pow x 3) (fma 1/6 (* x (pow y 2)) x))
6.0b	(* x (pow y 2))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `unpow2` `add-log-exp` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

2 → 39

Calls

2 calls:

0.0ms	(fma -1/6 (pow x 3) (fma 1/6 (* x (pow y 2)) x))
6.0ms	(* x (pow y 2))

series115.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(fma -1/6 (pow x 3) (fma 1/6 (* x (pow y 2)) x))
36.0ms	(* x (pow y 2))

simplify1.2s

Counts

45 → 45

Iterations

Useful iterations: 3 (213.0ms)

Iter	Nodes	Cost
0	73	462
1	146	434
2	400	377
3	1232	374
done	5001	374

prune120.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	10	10
done	10	10

end0.0ms

sample2.3s

Algorithm

intervals

Results

895.0ms	3020×	body	1280	valid
475.0ms	2502×	body	640	valid
352.0ms	8532×	body	80	valid
152.0ms	1231×	body	320	valid
56.0ms	642×	body	160	valid