Details

sample91.0ms

Algorithm

intervals

Results

32.0ms	91×	body	1280	valid
16.0ms	75×	body	640	valid
14.0ms	288×	body	80	valid
7.0ms	46×	body	320	valid
2.0ms	21×	body	160	valid

simplify13.0s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

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:

10.0ms	(/ (sinh y) y)
24.0ms	(* (cos x) (/ (sinh y) y))
2.0ms	(sinh y)

series348.0ms

Counts

3 → 9

Calls

3 calls:

118.0ms	(/ (sinh y) y)
140.0ms	(* (cos x) (/ (sinh y) y))
90.0ms	(sinh y)

simplify2.4s

Counts

83 → 83

Iterations

Useful iterations: 3 (1.3s)

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

prune238.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

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:

53.0ms	(* (cos x) (cbrt (pow (/ (sinh y) y) 3)))
2.0ms	(sinh y)
9.0ms	(cbrt (pow (/ (sinh y) y) 3))
15.0ms	(pow (/ (sinh y) y) 3)

series546.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(* (cos x) (cbrt (pow (/ (sinh y) y) 3)))
96.0ms	(sinh y)
143.0ms	(cbrt (pow (/ (sinh y) y) 3))
158.0ms	(pow (/ (sinh y) y) 3)

simplify1.2s

Counts

173 → 173

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	238	2271
1	584	1732
2	1998	1544
done	5000	1541

prune459.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

15.0ms	(* (cos x) (/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) y))
6.0ms	(/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) y)

series432.0ms

Counts

2 → 6

Calls

2 calls:

335.0ms	(* (cos x) (/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) y))
96.0ms	(/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) y)

simplify2.6s

Counts

69 → 69

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	115	1443
1	254	1402
2	861	1254
3	3363	1249
done	5000	1249

prune291.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes100.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.9s	3012×	body	1280	valid
714.0ms	8611×	body	80	valid
659.0ms	2439×	body	640	valid
280.0ms	1198×	body	320	valid
135.0ms	577×	body	160	valid